27*p**2. Suppose m(o) = 0. What is o?
-1, 1, 4
Let t(l) be the third derivative of l**5/20 + 7*l**4/8 + 9*l**2. Factor t(j).
3*j*(j + 7)
Let h be (15/(-25))/(2/(-20)). Let z be (-14)/(-4) + (3 - h). Suppose 0*r + z*r**2 - 3/4*r**3 + 0 + 1/4*r**4 = 0. What is r?
0, 1, 2
Let r(k) be the third derivative of -k**5/30 + k**4/2 + 7*k**3/3 + 66*k**2. Factor r(d).
-2*(d - 7)*(d + 1)
Let q(g) = -5*g**4 + 8*g**3 - 9*g**2 + 2*g - 4. Let f(u) = -u**4 + u**3 - u**2 - 1. Let p(z) = -4*f(z) + q(z). Factor p(h).
-h*(h - 2)*(h - 1)**2
Determine b, given that -3*b - 3*b**3 + 6*b**3 - 1 + 1 = 0.
-1, 0, 1
Suppose 1 - 4 = -g. Let c = -4 + g. Let q(r) = r + 1. Let t(y) = 5*y**2 + 3*y + 4. Let k(m) = c*t(m) + 6*q(m). Suppose k(z) = 0. Calculate z.
-2/5, 1
Let w(z) be the first derivative of -z**7/420 + z**6/180 + z**5/30 - 4*z**3/3 - 3. Let a(c) be the third derivative of w(c). Let a(d) = 0. What is d?
-1, 0, 2
Let o be (0 - -2) + 4/4. Suppose -h + 0*h = 0, -v = -o*h - 2. Solve -4*p**2 + 2*p + 2*p**2 + 3*p**2 - v*p**2 = 0 for p.
0, 2
Let v(c) be the first derivative of c**4/10 - 2*c**3/5 + 8*c/5 - 13. Find d such that v(d) = 0.
-1, 2
Suppose -13*o + 17 = -22. Let l(y) be the first derivative of -8/27*y**o - 5/9*y**2 - 4/9*y - 1/18*y**4 - 3. Factor l(m).
-2*(m + 1)**2*(m + 2)/9
Let m(s) be the third derivative of -s**6/360 + s**5/40 - s**4/12 - s**3/2 - 2*s**2. Let q(a) be the first derivative of m(a). Let q(y) = 0. Calculate y.
1, 2
Let l(s) be the third derivative of -5*s**8/336 + s**7/14 - s**5/3 + 8*s**2. Solve l(o) = 0 for o.
-1, 0, 2
Let o = 0 + 0. Let z be 1/(20/(-15)) - 30/(-8). Suppose 2/9*u**z + 0*u**2 + o - 2/9*u = 0. Calculate u.
-1, 0, 1
Let g = 22 - 22. Let r(t) be the third derivative of 1/525*t**7 + g*t**6 - 2*t**2 + 0*t**3 + 0*t - 1/50*t**5 + 0 + 1/30*t**4. Let r(k) = 0. Calculate k.
-2, 0, 1
Let l(t) = -7*t**2 - 6*t - 9. Let p = 4 - 2. Suppose -c + 3 = -p. Let z(a) = -4*a**2 - 3*a - 5. Let b(i) = c*z(i) - 3*l(i). What is f in b(f) = 0?
-2, -1
Let w be 16/(-56)*4/(-2). Let w*l**2 - 2/7*l - 2/7*l**3 + 0 = 0. What is l?
0, 1
Let g(l) be the second derivative of l**7/840 + l**6/240 - l**5/20 + 7*l**4/12 - 2*l. Let h(n) be the third derivative of g(n). Factor h(i).
3*(i - 1)*(i + 2)
Suppose 27 = 5*b + 4*f, -4*b + f + 18 = 3*f. Factor 1 + 6*h**3 - 1 - 3*h**b.
3*h**3
Let h(j) be the first derivative of -j**4/4 + 7*j**3/18 + j**2/12 - j/3 - 6. What is z in h(z) = 0?
-1/2, 2/3, 1
Let v(j) = j + 8. Let n be v(-4). Let f = n - 2. Factor -8*g**4 - 10*g**3 - 16*g - 2 - 17*g**3 + f*g - 30*g**2 + g**3.
-2*(g + 1)**3*(4*g + 1)
Factor -2*u**2 - 5*u**2 - u**2 - 6*u + 5*u**2.
-3*u*(u + 2)
Let c be (-438)/(-5) + (-4)/(-10). Let f = c + -262/3. Solve f*i - 4/3*i**2 + 2/3*i**3 + 0 = 0 for i.
0, 1
Let p(j) be the third derivative of -j**7/525 - j**6/450 + j**5/150 + j**4/90 - 6*j**2. Determine y so that p(y) = 0.
-1, -2/3, 0, 1
Let i(w) be the second derivative of w**6/10 - w**4/2 + 3*w**2/2 + 2*w. Factor i(v).
3*(v - 1)**2*(v + 1)**2
Factor -2/5*d + 0 + 13/5*d**2.
d*(13*d - 2)/5
Let 5/2*s**3 + 10*s + 0 + 10*s**2 = 0. Calculate s.
-2, 0
Let n = -13186/13 - -599818/585. Let f = -54/5 + n. Solve 0 - f*l**2 + 0*l + 2/9*l**3 = 0 for l.
0, 1
Let k(z) be the second derivative of 1/4*z**2 + 2*z + 1/12*z**4 + 1/4*z**3 + 0. Factor k(i).
(i + 1)*(2*i + 1)/2
Let r(g) be the second derivative of -g**6/120 + g**5/15 - 5*g**4/24 + g**3/3 - g**2 + 4*g. Let t(s) be the first derivative of r(s). Factor t(v).
-(v - 2)*(v - 1)**2
Let h(q) = -374*q**4 - 662*q**3 - 360*q**2 - 88*q - 16. Let z(m) = -125*m**4 - 221*m**3 - 120*m**2 - 29*m - 5. Let j(s) = -6*h(s) + 20*z(s). Factor j(a).
-4*(a + 1)*(4*a + 1)**3
Let r = -2 - -4. Suppose -2*z + 4 + 4*z**2 + 0*z**2 - 6*z**r + 0*z = 0. What is z?
-2, 1
Suppose -5*u = -3*u. Suppose v + 2*l + 7 = u, 0*v - 3*l - 11 = v. Factor -3*d**2 - 2*d**2 + 6*d**2 - v.
(d - 1)*(d + 1)
Let d be 2/(-7) + (-48)/(-21). Let w be (1*3)/(d - 1). Suppose 5*n**4 - 4*n**4 + n - n**w - n**2 + 0*n**4 = 0. Calculate n.
-1, 0, 1
Suppose -4*s - 4*s + 6*s + 7*s**2 + 2 + 11*s = 0. What is s?
-1, -2/7
Solve 0 - 2/5*j**4 + 2/15*j**5 + 2/5*j**3 + 0*j - 2/15*j**2 = 0.
0, 1
Let i(q) be the first derivative of -1/12*q**2 + 0*q + 1/8*q**4 + 0*q**3 + 1/15*q**5 - 5. Determine n, given that i(n) = 0.
-1, 0, 1/2
Let l(y) = 3*y**5 + 5*y**4 + 5*y**2. Let i be 6/(-8) - 5/20. Let d(s) = -s**4 - s**2. Let p(v) = i*l(v) - 5*d(v). Suppose p(o) = 0. Calculate o.
0
Suppose 3*l - 66 = -4*g - 27, l = 2*g - 17. Factor -3*t**2 + 22*t**3 - t**3 + 9*t**5 + 6*t**2 - g*t**2 - 24*t**4.
3*t**2*(t - 1)**2*(3*t - 2)
Let h = -71 - -77. Let a(z) be the second derivative of 49/10*z**6 - 2*z**3 - 3*z - 63/20*z**5 + 0*z**2 - h*z**4 + 0. Factor a(x).
3*x*(x - 1)*(7*x + 2)**2
Let c(f) be the first derivative of -4*f**5/5 + f**4 + 4*f**3/3 - 2*f**2 - 36. Find j, given that c(j) = 0.
-1, 0, 1
Let z(a) be the first derivative of 0*a**5 + 0*a**3 + 2 - a**2 + 0*a - 1/480*a**6 + 1/96*a**4. Let g(c) be the second derivative of z(c). Factor g(s).
-s*(s - 1)*(s + 1)/4
Factor 1/3*u**3 + 8/3*u - 5/3*u**2 - 4/3.
(u - 2)**2*(u - 1)/3
Determine o, given that -12*o - 3*o**2 + 22*o**2 - 3*o**2 - 4 = 0.
-1/4, 1
Suppose 31*y**2 + 3*y**4 - 13*y**3 - 4*y**2 - 5*y**3 = 0. Calculate y.
0, 3
Let j = 0 - -2. Find l, given that -6*l**4 + 3*l**4 - 4*l**j + 3*l**2 + 4*l**4 = 0.
-1, 0, 1
Let u(m) be the first derivative of 3 - 1/4*m**4 + 0*m + 4/3*m**3 - 2*m**2. Solve u(v) = 0.
0, 2
Let 2/7 + 6/7*t**2 + 2/7*t**3 + 6/7*t = 0. What is t?
-1
Let m(y) be the first derivative of y**2 + 1 - 2/3*y**3 + 2*y - 1/2*y**4. Factor m(g).
-2*(g - 1)*(g + 1)**2
Suppose -2 - 10 = -4*z. Factor 4*w - 6*w**2 + 15*w**3 - 12*w**z - w.
3*w*(w - 1)**2
Let s(k) be the second derivative of -k**7/3360 - k**6/120 - k**5/10 + k**4/6 + k. Let l(t) be the third derivative of s(t). Factor l(j).
-3*(j + 4)**2/4
Determine u, given that 4/7*u + 2/7*u**2 - 6/7 = 0.
-3, 1
Factor 0*d + 5/11*d**3 + 4/11*d**2 + 1/11*d**4 + 0.
d**2*(d + 1)*(d + 4)/11
Let r be 73/42 + (-2)/3. Let n(m) be the second derivative of -5/21*m**4 + 4/3*m**3 + 0 - r*m**5 + m + 8/7*m**2. Factor n(l).
-2*(3*l - 2)*(5*l + 2)**2/7
Let h(g) = 11*g + 21. Let y(q) = -5*q - 10. Let r(z) = -4*h(z) - 9*y(z). Let d be r(-6). Factor 0 + d*w**3 + 0*w**2 + 0*w - 1/3*w**5 - 1/3*w**4.
-w**4*(w + 1)/3
Let i(z) be the third derivative of -5*z**8/112 - z**7/6 - z**6/8 + z**5/4 + 5*z**4/12 + 29*z**2. Suppose i(o) = 0. Calculate o.
-1, 0, 2/3
Let u(x) be the second derivative of 1/12*x**4 - x**2 + 0 + x + 1/6*x**3. Let u(p) = 0. Calculate p.
-2, 1
Suppose -3*p - 5*y + 41 = 0, -2 + 6 = -2*y. Let g = p - 50/3. Determine m, given that 0*m - 1/3*m**3 + 0 + g*m**4 + 0*m**2 = 0.
0, 1
Let g = 3/40 + 1/8. Let k = 10/7 - 43/35. Find w, given that -k*w + 0 - g*w**2 = 0.
-1, 0
Suppose -3*k + 16 - 10 = 0. Factor -6 - 13*o - 10*o**3 - k*o**4 - 7*o - 23*o**2 - 2*o**3 - o**2.
-2*(o + 1)**3*(o + 3)
Let w(q) be the second derivative of q**7/8820 + q**6/2520 + q**4/4 - 5*q. Let a(s) be the third derivative of w(s). Solve a(o) = 0.
-1, 0
Let m(d) be the second derivative of 2*d**6/105 - 6*d**5/35 + 13*d**4/21 - 8*d**3/7 + 8*d**2/7 + 24*d. Let m(k) = 0. Calculate k.
1, 2
Suppose b - 2*r + 5*r = -9, -b + 3 = -3*r. Let i be ((-4)/30)/(b/15). Find d, given that 2/3*d**3 - 2/3*d**2 - 2/3*d + i = 0.
-1, 1
Let w be (-11)/(-40) - 2/(-8)*-1. Let r(d) be the second derivative of 0*d**4 + 3*d - w*d**5 + 0*d**3 + 0 + 0*d**2. Factor r(v).
-v**3/2
Factor -4*j + 2 + 0*j**2 + 3*j + 0*j**2 - j**2.
-(j - 1)*(j + 2)
Let n = 12 + -20. Let b = n + 10. Factor 2*a**2 - a + 2*a**2 + b*a**2 + 5*a + 2*a**3.
2*a*(a + 1)*(a + 2)
Let u(q) = -61*q**3 + 208*q**2 - 160*q - 59. Let h(d) = -30*d**3 + 104*d**2 - 80*d - 30. Let j(v) = 5*h(v) - 2*u(v). Factor j(n).
-4*(n - 2)**2*(7*n + 2)
Let p be (-1 - 4)*(-12)/20. Factor p*n**3 + 4*n + n**2 - n - 7*n**2 + 0*n**2.
3*n*(n - 1)**2
Let u = -151/5 + 31. Let s(m) be the first derivative of 1/5*m**2 + 2/15*m**3 - 1 - u*m. Determine w, given that s(w) = 0.
-2, 1
Let g(d) = 9*d + 57. Let l be g(-6). Let u(k) be the third derivative of -1/18*k**l + 0*k + 0 - k**2 - 1/36*k**4 - 1/180*k**5. Factor u(t).
-(t + 1)**2/3
Let j be ((-21)/12)/(4/(-16)). Suppose 1 = 4*d - j. Factor -1/3*l + 0 - 1/3*l**4 + 1/3*l**d + 1/3*l**3.
-l*(l - 1)**2*(l + 1)/3
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