/12*i**4 + i. Factor k(y).
-(y + 1)**2
Let t(d) be the third derivative of d**7/1260 + d**6/60 + 3*d**5/20 - d**4/6 + 6*d**2. Let b(q) be the second derivative of t(q). Suppose b(x) = 0. Calculate x.
-3
Let w(v) be the first derivative of -v**4/12 + v**3/6 + v**2 - 2*v + 1. Let b(j) be the first derivative of w(j). Factor b(d).
-(d - 2)*(d + 1)
Let l(f) be the third derivative of f**6/120 + f**5/60 - f**4/24 - f**3/6 - 6*f**2. What is a in l(a) = 0?
-1, 1
Let z(c) = -10 - 15*c - 18*c**3 + 1 + 33*c**2 + 6*c. Let u(n) = -35*n**3 + 65*n**2 - 18*n - 19. Let t(v) = 3*u(v) - 7*z(v). Determine d so that t(d) = 0.
-2/7, 1
Factor 2*v**4 - 194*v**3 + 2*v**5 + 98*v**3 + 92*v**3.
2*v**3*(v - 1)*(v + 2)
Let q be 2/4 - 4/8. Find d, given that -8*d**2 - d + q*d**2 + 7*d**2 = 0.
-1, 0
Suppose u**3 - 13*u + 21*u + 20*u**2 - 33*u**3 + 4*u**3 = 0. What is u?
-2/7, 0, 1
Let p(c) = 4*c**2 + 3*c + 3. Let o(w) = 2. Let b(t) = -t**2 - t - 4. Let l(d) = 3*b(d) + 5*o(d). Let j(a) = -5*l(a) - 4*p(a). Determine h so that j(h) = 0.
1, 2
Let f(u) be the first derivative of -u**4/10 - 2*u**3/15 - 5. Factor f(d).
-2*d**2*(d + 1)/5
Let 2/13*z**5 - 4/13*z**4 + 0*z + 0*z**2 + 2/13*z**3 + 0 = 0. What is z?
0, 1
Factor -5*a - 3*a + 2*a**2 - 12 + 18*a.
2*(a - 1)*(a + 6)
Let a(q) = 4*q**3 + q**2 + 6*q - 7. Let p be a(1). Factor -2/3*d**5 - 2/3*d**3 + 0*d + 0 - 4/3*d**p + 0*d**2.
-2*d**3*(d + 1)**2/3
Suppose -44 = 3*k - 5*t, -4*k + t - 24 = 3*t. Let s be (5/10)/((-2)/k). Find o, given that -3*o**s + 7 - 3*o - 7 = 0.
-1, 0
Let l(h) be the third derivative of -h**7/42 - h**6/12 + h**5/12 + 5*h**4/12 + h**2 - h. What is j in l(j) = 0?
-2, -1, 0, 1
Suppose 0 = -2*s - p - 43, 0 = 5*s - 4*p - 0*p + 75. Let t = s - -21. Factor 2/11*i**3 + 0*i + 2/11*i**t + 0.
2*i**2*(i + 1)/11
Let s(m) be the second derivative of 0*m**2 + 1/24*m**3 - 1/48*m**4 + 3*m + 0. Solve s(z) = 0 for z.
0, 1
Factor 30*p**2 + 23*p + 23*p + 29*p + 40 - 15*p + 5*p**3.
5*(p + 2)**3
Let c(r) = 2*r + 1. Let j be c(3). Factor -5*i**3 + j*i**3 - i**2 - i**4 + i**2 + 1 - 2*i.
-(i - 1)**3*(i + 1)
Determine h so that 56/3 - 52/3*h**2 + 12*h**3 - 12*h - 4/3*h**4 = 0.
-1, 1, 2, 7
Let d(r) = 8*r**5 - 15*r**3 + 11*r**2 + 3*r + 7. Let l(i) = -4*i**5 + 8*i**3 - 6*i**2 - i - 3. Let q(x) = 6*d(x) + 14*l(x). Let q(w) = 0. What is w?
-2, 0, 1/2, 1
Let d(i) be the second derivative of -i**4/9 + 2*i**3/9 + 4*i**2/3 + 10*i. Factor d(v).
-4*(v - 2)*(v + 1)/3
Let o = 7/20 - -259/60. Let l = 16/3 - o. Solve 2/3*u + 0 + l*u**2 = 0 for u.
-1, 0
Let c(b) = b**2 + 3*b + 8. Let v(g) = g - 1. Let n(k) = -2*c(k) - 4*v(k). Factor n(y).
-2*(y + 2)*(y + 3)
Solve -27/5*c**4 + 44/5*c + 81/5*c**3 - 18*c**2 - 8/5 = 0.
2/3, 1
Let a(v) be the second derivative of -3/20*v**5 + 0 + 4*v - 9/4*v**4 - 81/2*v**2 - 27/2*v**3. Find j, given that a(j) = 0.
-3
Let y(t) = t**2. Let p(f) = 2*f**2. Let l = 0 - -6. Suppose 0 = 3*j + 2*j + 10, -2*b = -j + 20. Let k(q) = b*y(q) + l*p(q). Factor k(z).
z**2
Factor 0*a + 4/3*a**2 - 4/3.
4*(a - 1)*(a + 1)/3
Let a(h) be the third derivative of h**7/315 + h**6/180 - h**5/90 - h**4/36 - 7*h**2. Suppose a(m) = 0. Calculate m.
-1, 0, 1
Let l = -4 - -12. Let -7 + 3*c**2 - l + 6*c + 6 = 0. Calculate c.
-3, 1
Suppose 0 = -0*g + 2*g - 16. Suppose -3*x**2 + 2*x - g*x**5 + 22*x**4 + 5*x**3 + 5*x**2 - 23*x**3 = 0. Calculate x.
-1/4, 0, 1
Let n be 2*(-3)/(-4)*(-6)/(-18). Let q(o) be the second derivative of 3/2*o**4 - 1/5*o**6 + o - 3*o**2 - n*o**3 + 0 - 3/20*o**5. Determine r so that q(r) = 0.
-2, -1/2, 1
Let m(u) = -u**2 - u. Let h(o) = o**2 - 2 + 0 - 14*o - o**2 - 4*o**2. Let s(p) = h(p) - 10*m(p). Suppose s(j) = 0. Calculate j.
-1/3, 1
Factor 3/4*c**4 + 0 + 9/4*c - 3/4*c**2 - 9/4*c**3.
3*c*(c - 3)*(c - 1)*(c + 1)/4
Suppose -2*f = 4*v - 4, -5*v + 2 + 2 = 2*f. Determine k, given that -k**3 + k**4 - k + 3*k**2 + 0*k**3 - 2*k**3 + v*k = 0.
0, 1
Let a(y) = -y - 7. Let t be a(-9). Find b such that 4*b**3 + b**5 - 4*b**3 - 3*b**5 + t*b**3 = 0.
-1, 0, 1
Let s = -2/29 + 239/3045. Let d(v) be the second derivative of 0 - s*v**7 + 2*v - 2/75*v**6 + 1/15*v**3 + 0*v**2 + 1/15*v**4 + 0*v**5. Factor d(q).
-2*q*(q - 1)*(q + 1)**3/5
Let g = -34 + 36. Factor -2/5*t - 4/5 + 6/5*t**3 + 8/5*t**g.
2*(t + 1)**2*(3*t - 2)/5
Suppose 150*d = 147*d + 9. Let l = -75 + 153/2. Determine i, given that -l*i**4 + 3/2*i**d + 0*i - 3*i**5 + 0 + 0*i**2 = 0.
-1, 0, 1/2
Let x be (-2 - (-3)/(-6))*-2. Suppose -7*h + 3*i - 8 = -x*h, 0 = h - i + 2. Factor -w - 3*w**2 - h*w + 4 - w**3 - 5.
-(w + 1)**3
Let r(j) be the first derivative of j**5/70 - j**3/21 - 3*j + 2. Let c(a) be the first derivative of r(a). Factor c(h).
2*h*(h - 1)*(h + 1)/7
Let k(a) be the first derivative of a**4/12 - 2*a**3/9 + a**2/6 - 3. Factor k(t).
t*(t - 1)**2/3
Let j(a) = -16*a - 3. Let z be j(-2). Let r = -27 + z. Determine w so that -2/11*w**r - 4/11*w - 2/11 = 0.
-1
Let h(c) be the third derivative of c**6/80 - c**5/40 - c**4/16 + c**3/4 - 7*c**2. Determine f, given that h(f) = 0.
-1, 1
Let g(s) = -18*s**3 - 48*s**2 - 62*s - 34. Let i(c) = c**4 - 91*c**3 - 240*c**2 - 309*c - 171. Let j(m) = 22*g(m) - 4*i(m). Suppose j(a) = 0. What is a?
-2
Let i = 65 - 63. Let o(z) be the third derivative of 1/108*z**6 + z**i + 2/45*z**5 + 2/27*z**3 + 1/12*z**4 + 0 + 0*z. Solve o(t) = 0.
-1, -2/5
Let 2/15*b + 4/15*b**2 + 0 + 2/15*b**3 = 0. Calculate b.
-1, 0
Let c = -75 + 75. Factor c + 0*g - 2/11*g**2.
-2*g**2/11
Factor 0*b**4 + 0*b**5 - 3*b**5 - 12*b**4 - 6*b**2 - 15*b**3.
-3*b**2*(b + 1)**2*(b + 2)
Let z = -24 - -24. Let n = 3 - 3. Let 0*t**2 + z*t**3 + n + 1/5*t**5 + 1/5*t**4 + 0*t = 0. What is t?
-1, 0
Let u(s) be the second derivative of s**6/6 - s**5/4 - 5*s**4/3 + 10*s**3/3 + 14*s. Factor u(f).
5*f*(f - 2)*(f - 1)*(f + 2)
Let d = 2669/7 + -381. Factor 2/7*j**2 + 0*j + 0 + d*j**3.
2*j**2*(j + 1)/7
Let k = 4/183 + 167/732. Factor 0 - k*f**2 - f.
-f*(f + 4)/4
Let b = -49/15 - -18/5. Let -b*w**2 - 4/3*w - 4/3 = 0. What is w?
-2
Factor 0*o**3 + 0 - 1/2*o**5 + o**4 + 1/2*o - o**2.
-o*(o - 1)**3*(o + 1)/2
Let k(a) be the third derivative of -a**6/40 + a**5/10 + a**4/8 - a**3 - 6*a**2. What is i in k(i) = 0?
-1, 1, 2
Factor -1/3*w + 4/3*w**4 + 0 + 4/3*w**2 - 2*w**3 - 1/3*w**5.
-w*(w - 1)**4/3
Factor 2*a**2 - 4/3*a - 2/3*a**3 + 0.
-2*a*(a - 2)*(a - 1)/3
Suppose -2/7*d**3 + 2/7*d + 0*d**2 + 0 = 0. Calculate d.
-1, 0, 1
Let t(o) be the third derivative of -o**5/210 + o**4/21 - 4*o**3/21 - 2*o**2. Factor t(s).
-2*(s - 2)**2/7
What is u in -2*u + 1/2*u**2 + 2 = 0?
2
Solve 2/5*c - 2/5*c**2 + 4/5 = 0.
-1, 2
Let x(g) be the third derivative of g**7/280 + g**6/80 - 3*g**2. Factor x(l).
3*l**3*(l + 2)/4
Factor -1/3*a + 1/3*a**2 - 1/3*a**4 + 0 + 1/3*a**3.
-a*(a - 1)**2*(a + 1)/3
Let l(g) be the third derivative of -g**6/40 + 3*g**5/20 - 3*g**4/8 + g**3/2 + 35*g**2. Factor l(j).
-3*(j - 1)**3
Let t = 4 - 2. Let m be t/((6/4)/3). Factor h**2 - 1/4*h**5 + 0 + h**m - 1/4*h - 3/2*h**3.
-h*(h - 1)**4/4
Let n(a) be the third derivative of a**7/945 - a**6/270 + 9*a**2. Factor n(z).
2*z**3*(z - 2)/9
Let o(q) be the second derivative of -q**6/150 + q**5/50 + q**4/60 - q**3/15 - 23*q. Find m, given that o(m) = 0.
-1, 0, 1, 2
Let u(r) be the second derivative of r**7/56 + r**6/20 - 3*r**5/80 - r**4/8 + 9*r. Determine b, given that u(b) = 0.
-2, -1, 0, 1
Determine h, given that -12*h**5 + 2 - 42*h**2 + 51*h**4 - 12 - 36*h**3 + 3 + 48*h - 2 = 0.
-1, 1/4, 1, 3
Factor -2/3*x + 1/3 - x**2.
-(x + 1)*(3*x - 1)/3
Let p(g) be the third derivative of 3*g**2 + 0 + 0*g**3 + 0*g**4 - 1/20*g**5 + 3/40*g**6 - 1/35*g**7 + 0*g. Factor p(n).
-3*n**2*(n - 1)*(2*n - 1)
Let f(d) be the first derivative of 2/3*d**3 + 0*d**2 + 1/96*d**4 + 0*d + 1/1440*d**6 + 3 + 1/240*d**5. Let h(r) be the third derivative of f(r). Factor h(q).
(q + 1)**2/4
Suppose 0 = -2*u - 4*u + 6. Let i(x) be the first derivative of 1/18*x**3 - 1/30*x**5 + 0*x**4 + u + 0*x**2 + 0*x. Let i(s) = 0. What is s?
-1, 0, 1
Let v(d) be the second derivative of 1/42*d**4 + 4/7*d**2 - 4/21*d**3 + 0 - 7*d. What is j in v(j) = 0?
2
Determine a so that 1/2 + 3/2*a**2 - 2*a = 0.
1/3, 1
Suppose 8*n + 5*m + 25 = 4*n, -4*n - 3*m = 15. Let f be 2/(-4) - (-1 + n). Find c, given that -1/2*c + 1 - f*c**2 = 0.
-2, 1
Let l be (-9)/(-4) - (-5)/(-20). Factor 2*w - 3*w**2 - 6*w**3 + 2 + l*w**3 + w**2 + 2*w**3.
-2*