- 2*k, -4*k - 15 = -q. Factor -2/17*u**q + 6/17*u**2 - 2/17*u**4 + 10/17*u + 4/17.
-2*(u - 2)*(u + 1)**3/17
Let g(o) = 6*o**4 - 26*o**3 - 8*o**2. Let y(b) = 23*b**4 - 103*b**3 - 32*b**2. Let w(h) = 22*g(h) - 6*y(h). Factor w(x).
-2*x**2*(x - 8)*(3*x + 1)
Let z(j) be the second derivative of j**5/30 + 7*j**4 + 588*j**3 + 24696*j**2 + 260*j. Factor z(a).
2*(a + 42)**3/3
Suppose 6*i - 5*f - 20 = 7*i, -5*i - 5*f = 20. Find s such that 2/3*s**2 + i + 0*s = 0.
0
Let y(n) = -2*n**3 + n**2 - n - 1. Let v be 11/(-7) + (-36)/(-63). Let d be y(v). Suppose 0 + 1/6*l + 1/2*l**d - 2/3*l**2 = 0. What is l?
0, 1/3, 1
Let a be 4/(-42) + 104616/(-945) + -6. Let s = a - -117. Factor 16/5 + s*z**2 + 8/5*z.
(z + 4)**2/5
Let z = 21 + -15. Let k be 1/(15/z)*10. Let 96*b - 16 - 129*b**2 - 42*b**2 - 28*b**k + 120*b**3 - b**2 = 0. What is b?
2/7, 1, 2
Suppose 118 = 14*a + 34. Let k(g) be the first derivative of 0*g - 2 - 1/16*g**4 + 0*g**5 + 0*g**2 + 1/24*g**a + 0*g**3. Factor k(o).
o**3*(o - 1)*(o + 1)/4
Let v(s) be the second derivative of s**7/1120 + s**6/240 + s**5/160 + 5*s**4/6 - 19*s. Let p(c) be the third derivative of v(c). Solve p(f) = 0.
-1, -1/3
Let x(z) = -3*z - 4. Let b be x(-3). Suppose -d = -b + 1. Suppose -4*f**4 + 4*f - 24*f**3 - d*f**4 - 6*f**2 - 6*f**4 = 0. What is f?
-1, 0, 2/7
Let n(z) be the second derivative of -1/12*z**4 + 1/30*z**6 - 6*z + 0*z**2 + 1/12*z**3 + 0 - 1/40*z**5. Factor n(s).
s*(s - 1)*(s + 1)*(2*s - 1)/2
Let y be -3 + 1 - (-2 - 4). Factor 0*f**2 + 21 - 25 - f**2 + y*f**2 + 4*f.
(f + 2)*(3*f - 2)
Suppose 0*d + 405 = 5*d. Let s(h) = -4*h - 81 + h**2 + d. Let t(v) = 3*v**2 - 9*v. Let j(f) = -9*s(f) + 4*t(f). Factor j(q).
3*q**2
Let y(a) be the second derivative of -8*a + 0 - 1/150*a**6 + 1/25*a**5 + 0*a**3 + 0*a**2 - 1/15*a**4. Factor y(n).
-n**2*(n - 2)**2/5
Let w(b) = -b**2 + 6*b - 6. Let u be w(3). Let z = 6 + u. Factor -111*n**3 + 4*n + 95*n**3 + z*n**2 + 3*n**2.
-4*n*(n - 1)*(4*n + 1)
Let h(v) be the second derivative of 2*v**7/21 + 18*v**6/5 + 138*v**5/5 - 586*v**4/3 + 430*v**3 - 450*v**2 + 6*v - 2. Factor h(l).
4*(l - 1)**3*(l + 15)**2
Find r, given that 42*r**2 + 88*r**2 - 5*r**2 - 50*r + 5 = 0.
1/5
Let l(o) be the third derivative of o**7/1050 + 3*o**6/40 + 481*o**5/300 - 207*o**4/40 - 529*o**3/15 + 48*o**2 + 2*o. Solve l(i) = 0.
-23, -1, 2
Let c be 774/(-36)*52/(-91). Factor 22/7*z - c*z**2 - 16*z**4 - 2/7 + 146/7*z**3 + 32/7*z**5.
2*(z - 1)**3*(4*z - 1)**2/7
Let z be 6/8 - 9/4. Let k = 37/22 + z. Suppose 6/11*l + 0 + k*l**2 = 0. Calculate l.
-3, 0
Let t = -194 - -164. Let j be (0 - t/8) + (-2)/(-8). Solve 0 + 2*u**2 - j*u**3 - 1/4*u = 0.
0, 1/4
Let h(p) be the second derivative of p**5/10 - p**4 - 49*p**3/3 - 66*p**2 + 661*p. Suppose h(z) = 0. What is z?
-3, -2, 11
Let b(q) be the second derivative of -q**7/420 + q**6/240 + q**5/40 + q**4 + 10*q. Let x(t) be the third derivative of b(t). Factor x(d).
-3*(d - 1)*(2*d + 1)
Let x(y) be the third derivative of y**5/45 + 11*y**4/18 - 28*y**3/3 + 7*y**2 - 8. Factor x(t).
4*(t - 3)*(t + 14)/3
Let b = 163/154 - 17/22. Let a = 191/77 + -21/11. Factor -2/7 - 2/7*u + 4/7*u**3 - 2/7*u**4 - b*u**5 + a*u**2.
-2*(u - 1)**2*(u + 1)**3/7
Let u(c) be the first derivative of c**4/8 + c**3/6 - 3*c**2/2 + 92. Factor u(p).
p*(p - 2)*(p + 3)/2
Suppose 0 = -3*x - 14 + 2, s - 28 = 3*x. Let d be (s/(-28))/(10/(-7)). Find i, given that 0 - d*i**3 - 2/5*i**4 + 0*i**2 + 0*i = 0.
-1, 0
Let y(d) be the first derivative of 5*d**6/24 - 5*d**5/2 + 135*d**4/16 - 15*d**3/2 - 165. Solve y(x) = 0 for x.
0, 1, 3, 6
Let a(l) = l**3 - 7*l**2 + 5*l + 3. Let v be a(6). Let u be v + 3 - (1 - 3). Let -4*x**2 + 12 - x**2 + 12*x + 2*x**2 + 6*x**u = 0. Calculate x.
-2
Suppose h - 1 = 5*t - 22, -h + 2*t = 6. Suppose 0 - 12 = -h*l. Factor -12*u + 8*u**3 + 3 + l*u**4 - 9*u**3 - 11*u**3 + 18*u**2.
3*(u - 1)**4
Let u(p) be the second derivative of p**7/105 - 3*p**6/25 + 29*p**5/50 - 43*p**4/30 + 2*p**3 - 8*p**2/5 + 9*p - 14. Factor u(r).
2*(r - 4)*(r - 2)*(r - 1)**3/5
Let k(t) be the second derivative of 3/10*t**5 + 1/3*t**4 + 0 + 1/30*t**6 - 5/2*t**2 - t - t**3. Factor k(m).
(m - 1)*(m + 1)**2*(m + 5)
Let t be 6*(9/12 + 5/(-4)). Let n(j) = j**3 + j**2 - j - 1. Let p(i) = -6*i**4 - 13*i**3 - 11*i**2 - 7*i - 3. Let l(h) = t*n(h) + p(h). Factor l(b).
-2*b*(b + 1)**2*(3*b + 2)
Let m(r) be the first derivative of -9/4*r**4 + 3/5*r**5 - 3/2*r**2 - 19 + 0*r + 3*r**3. Suppose m(g) = 0. Calculate g.
0, 1
Let v = -24 - -26. Let c(j) = -j**3 - j**2 - 3*j + 1. Let x(d) = d**3 + d. Let m(f) = v*c(f) + 4*x(f). Solve m(l) = 0 for l.
-1, 1
Let r(x) = -x**3 - x**2 - 1. Let j be 3 - (-3 + 14 + -4). Let o(y) = -8*y**3 - 9*y**2 + 3*y - 7. Let p(h) = j*o(h) + 28*r(h). Solve p(c) = 0.
-3, 0, 1
Suppose 0 = -2*j + 2*p + 15 + 13, 2*p = 5*j - 67. Suppose j = 3*h - 5. Let 2*x**2 + h + x**2 - 2*x + 8*x + 3*x = 0. Calculate x.
-2, -1
Let v(d) = -8*d**3 + 15*d**2 + 9*d - 27. Let w(g) = -3*g**3 + 5*g**2 + 3*g - 9. Suppose -6*p - 2 = -26. Let x(i) = p*v(i) - 11*w(i). Solve x(u) = 0.
-3, 1
Let r(h) = -3*h - 5*h**3 + 7*h**2 + 4*h**3 + h. Let t(y) = y**3. Suppose 0 = -9*j + 14*j - 20. Let m(l) = j*t(l) - r(l). Solve m(z) = 0 for z.
0, 2/5, 1
Let h(n) = -4*n**5 + 4*n**4 + 7*n**3 - 4*n**2 - 3*n + 3. Let y(z) = z**5 - z**4 - z**3 + z - 1. Let p = -88 - -91. Let r(f) = p*y(f) + h(f). Factor r(d).
-d**2*(d - 2)*(d - 1)*(d + 2)
Suppose 44*q - 33*q + 2*q**3 - 6*q - 5*q = 0. What is q?
0
Let v(t) be the second derivative of -t**5/80 + 17*t**4/24 - 11*t**3/8 + 146*t. Find g, given that v(g) = 0.
0, 1, 33
Let z(g) be the third derivative of g**2 + 1/4*g**3 + 1/32*g**5 + 1/8*g**4 + 0*g + 0 + 1/320*g**6. Determine p, given that z(p) = 0.
-2, -1
Suppose -5*n - 4*d = d - 50, -d + 25 = 4*n. Suppose 0*u - 2*u + 4*p + 20 = 0, 0 = 5*u + n*p - 35. Determine t, given that -8*t + u - 13 - 11 - t**2 = 0.
-4
Suppose 0 = -t + 2 + 6. Suppose -t*g = b - 3*g + 8, -b + g + 4 = 0. Determine w, given that 0*w**b - w**3 + w - 1/2*w**4 + 1/2 = 0.
-1, 1
Suppose 1/3*l**5 + 0 - 11/6*l**4 + 5/2*l**2 - 3/2*l + 11/6*l**3 = 0. Calculate l.
-1, 0, 1/2, 3
Let m be (-4)/1 + 3 + 1. Suppose -p = 2*p + 12, m = -5*u + 3*p + 22. Let c**u + 2*c**2 + 1001 + 3*c - 1007 = 0. Calculate c.
-2, 1
Let t(y) be the first derivative of -y**4 - 104*y**3/3 + 141. Factor t(b).
-4*b**2*(b + 26)
Let i(p) be the first derivative of 5 - 3/2*p**2 + 0*p + 1/2*p**3. Let i(n) = 0. Calculate n.
0, 2
Let x(s) be the second derivative of 121*s**4/12 + 22*s**3 + 18*s**2 - 6*s + 3. Let x(p) = 0. Calculate p.
-6/11
Let p be 75/(-19) - (-21 + 17). Let a(g) be the first derivative of -p*g**4 - 4/19*g + 5 - 4/95*g**5 + 1/19*g**2 + 1/57*g**6 + 8/57*g**3. What is d in a(d) = 0?
-1, 1, 2
Let h(q) be the third derivative of -q**6/360 + q**5/15 - 4*q**4/9 + 207*q**2. Factor h(d).
-d*(d - 8)*(d - 4)/3
Let b(v) = 21*v + 6*v**2 + 3 + 12 - 4*v**2. Let o be b(-10). Solve 0*m**3 - 1/4*m**o - 1/2*m**2 + 1/2*m**4 + 1/4*m + 0 = 0 for m.
-1, 0, 1
Factor 2/21*t**3 + 10/21 - 2/21*t - 10/21*t**2.
2*(t - 5)*(t - 1)*(t + 1)/21
Let z be 2/(-5) + (-17)/(-5). Let 4*t**5 + 2*t**3 + 16*t**2 - 8*t**4 + 16*t - 6*t**z - 5*t**3 - 3*t**3 = 0. What is t?
-1, 0, 2
Factor 162*w**2 - 22*w**3 + 15125 + 15675*w + 27*w**3 + 134*w**2 + 125*w**2 + 134*w**2.
5*(w + 1)*(w + 55)**2
Suppose i - 3*i = -30. Suppose 5*f + 4*n - 17 + 2 = 0, -5*f + 2*n + i = 0. Solve -f + 2*c**3 - 1 + 0 - 6*c = 0 for c.
-1, 2
Factor 0 + 1/4*h**3 + 2*h - 9/4*h**2.
h*(h - 8)*(h - 1)/4
Let g(b) be the first derivative of -b**9/756 - b**8/210 + b**6/45 + b**5/30 - 4*b**3 + 2. Let k(w) be the third derivative of g(w). Find u such that k(u) = 0.
-1, 0, 1
Let z = -8 - -10. Factor 4*u**z + 2 - 29 + 11.
4*(u - 2)*(u + 2)
Let w(i) be the third derivative of -i**5/140 + 51*i**4/56 - 72*i**3/7 - 342*i**2. Factor w(n).
-3*(n - 48)*(n - 3)/7
Let t be ((-6)/(-5))/(90/225). Suppose 4/7*i**2 + 2/7*i**5 - 6/7*i**4 - 6/7*i + 2/7 + 4/7*i**t = 0. Calculate i.
-1, 1
Let h be (1 - (-11)/(-15))/(86/215). Let t(n) be the first derivative of -4 + 1/2*n + 5/4*n**2 + h*n**3. Factor t(k).
(k + 1)*(4*k + 1)/2
Let p(o) be the first derivative of 2*o**5/5 + 11*o**4/8 + 5*o**3/6 - o**2/2 + 263. Determine r, given that p(r) = 0.
-2, -1, 0, 1/4
Let w(g) be the second derivative of -3*g**7/7 - 5*g**6/2 - 3*g**5/10 + 2*g**4 - 34*