15*t**3 + 1/5*t. Suppose i(d) = 0. What is d?
-1, 1/4, 1
Let a(b) be the third derivative of b**5/300 + b**4/24 + b**3/5 + 74*b**2. Solve a(q) = 0.
-3, -2
Let b(t) be the second derivative of t**6/60 - 3*t**5/40 + t**4/8 - t**3/12 + 163*t. Factor b(j).
j*(j - 1)**3/2
Suppose 0 = -2*h + f + 42, 0*f - 105 = -5*h - 3*f. Let g be 4/(-6) - h/(-18). Factor 1 + 1/2*s - g*s**2.
-(s - 2)*(s + 1)/2
Suppose -j = 3*j - 12. Suppose -11 = 5*r + 4*s - 48, 0 = -j*s - 6. Find l such that -46*l - 3 + 31*l - 3 - r*l**2 = 0.
-1, -2/3
Let a be 189/180 - 9/30. Factor a - 3/4*g**2 + 3/4*g**3 - 3/4*g.
3*(g - 1)**2*(g + 1)/4
Let b(a) be the first derivative of a**4/4 + 10*a**3/3 - 11*a**2/2 + 3*a - 29. Let n be b(-11). Find y, given that 1/2*y**n + 5/2*y**2 + 4*y + 2 = 0.
-2, -1
Let k = -248 - -250. Solve -3/2*z**3 - 30 - 3/2*z**k + 24*z = 0 for z.
-5, 2
Suppose 5*c - 32 = -b, -4*c + 27 = -b + 2*b. Let p = 9 - b. Determine g, given that 3/4*g**p - 3/2*g - 9/4 = 0.
-1, 3
Let l(g) = 215*g - 8383. Let t be l(39). Factor -1/3*i**t + 5/3*i - 2.
-(i - 3)*(i - 2)/3
Let n(l) be the first derivative of 0*l - 27 + 1/12*l**3 + 9/8*l**2. What is g in n(g) = 0?
-9, 0
Let f(v) be the second derivative of 5*v**8/336 - v**7/14 + v**6/8 - v**5/12 + 15*v**2 + v + 4. Let a(w) be the first derivative of f(w). Factor a(z).
5*z**2*(z - 1)**3
Suppose 4*i = -34*t + 38*t + 20, -43 = -t - 5*i. Solve g**2 - 2/3*g**t + 5/3*g - 2 = 0 for g.
-3/2, 1, 2
Suppose 45*h - 11 = 42*h - 5. Factor 1/9*z**4 + 2/9*z**3 + 0*z + 0 + 0*z**h - 1/9*z**5.
-z**3*(z - 2)*(z + 1)/9
Let y(i) = i**2 - 2*i - 6. Let x(k) = -k**2 + k + 5. Let h(o) = -3*x(o) - 2*y(o). Let b be h(-3). Factor 8*q**2 + q**2 - 1 - 5 - b*q - 3*q**4 + 0*q**2 + 3*q**3.
-3*(q - 2)*(q - 1)*(q + 1)**2
Let f be -4 - (42 + -1) - 1. Let w = -21 - f. Suppose -10*v - w*v**2 - 35 - 15*v**3 + 35 = 0. What is v?
-1, -2/3, 0
Let k(v) be the third derivative of -1/80*v**6 + 1/140*v**7 + 0*v**4 + v**2 - 1/672*v**8 + 1/120*v**5 + 0*v**3 + 0*v + 0. Factor k(w).
-w**2*(w - 1)**3/2
What is n in 8*n**2 + 60 + 27*n**2 - 44*n**3 - 42*n**3 + 81*n**3 - 80*n = 0?
2, 3
Let u(x) be the second derivative of 0 + 1/20*x**4 - 1/6*x**3 + 1/5*x**2 - 15*x - 1/150*x**6 + 1/100*x**5. Suppose u(n) = 0. What is n?
-2, 1
Suppose 0 = -w + 2*h + 2, 4*w = -2*h - 4 + 42. Suppose -4*n + 2*n = -3*d - 12, n + w = -2*d. Factor -4/9*s**3 + 2/9*s + 0 + 2/9*s**5 + 0*s**2 + n*s**4.
2*s*(s - 1)**2*(s + 1)**2/9
Factor 22*s - 6 - 7/2*s**2.
-(s - 6)*(7*s - 2)/2
Let a(h) be the first derivative of -1/36*h**6 + 1/9*h**3 + 1/8*h**4 + 50 + 0*h + 0*h**2 + 0*h**5. Determine m so that a(m) = 0.
-1, 0, 2
Let v(h) be the second derivative of -h**4/14 + 16*h**3/7 - 192*h**2/7 - 997*h. Solve v(n) = 0 for n.
8
Let w(m) be the third derivative of m**6/24 + m**5/12 - 5*m**4/12 - 6*m**2 - 3. Factor w(y).
5*y*(y - 1)*(y + 2)
What is m in -85*m**4 + 43*m**4 + 3*m**5 + 3*m**3 + 36*m**4 = 0?
0, 1
Let q(y) = -2*y**2 - 9*y + 58. Let z be q(-8). Suppose -2/17*m**z + 8/17*m - 6/17 = 0. What is m?
1, 3
Let c = -19171/7 - -2741. Suppose -c*y - 24/7*y**2 - 2/7*y**4 - 12/7*y**3 + 0 = 0. What is y?
-2, 0
Suppose 5*f = 3*a - 34 + 10, -4*a = -f - 15. Suppose -a*g = 2*g + 2*i - 17, -9 = -4*g + 3*i. Factor 1/3*x**g - x**2 - 1/3 + x.
(x - 1)**3/3
Let p(k) be the second derivative of 3*k**4/20 - 19*k**3/15 + 4*k**2/5 - 65*k - 2. Suppose p(m) = 0. Calculate m.
2/9, 4
Let z(f) = -f**2 - 4*f. Let i(u) = 4*u**3 - 29*u**2 - 64*u - 40. Let c(o) = i(o) + 3*z(o). What is n in c(n) = 0?
-1, 10
Determine b, given that -3*b**2 - 15 - 30 - 2*b**2 - 50*b = 0.
-9, -1
Let t = 998/6895 - 6/197. Let c(n) be the first derivative of -1/21*n**6 - t*n**5 - 1/14*n**4 + 0*n + 0*n**2 + 0*n**3 - 2. Solve c(u) = 0.
-1, 0
Let z = -1/389 - -3129/6613. Let -18/17*s - 6/17*s**2 + z*s**3 - 4/17 = 0. What is s?
-1, -1/4, 2
Let a(i) = i - 1. Let d(m) = -5*m**5 - 42*m**4 - 136*m**3 - 208*m**2 - 139*m - 37. Let x(q) = 5*a(q) - d(q). Factor x(f).
(f + 2)**4*(5*f + 2)
Let z(a) be the second derivative of -1/2*a**3 - 13*a + 0*a**4 + 0 + a**2 + 1/20*a**5. Factor z(f).
(f - 1)**2*(f + 2)
Let u = -903/11 - -82. Let q = 7/44 - u. What is a in -1/4*a**2 + 0*a + q = 0?
-1, 1
Let q(x) be the second derivative of -x**6/45 + 13*x**5/30 - 23*x**4/18 + 11*x**3/9 - 106*x. Determine b so that q(b) = 0.
0, 1, 11
Let m = -2155 + 2160. Let w(x) be the third derivative of -1/8*x**4 - 1/60*x**5 + 0*x**3 + m*x**2 + 0*x + 0. Factor w(n).
-n*(n + 3)
Let f = -413 + 6203/15. Let y(c) be the third derivative of 3/8*c**6 + f*c**5 - 27/70*c**7 - 4*c**2 + 0*c + 1/6*c**4 + 0*c**3 + 0. Factor y(v).
-v*(v - 1)*(9*v + 2)**2
Let u(k) be the first derivative of 5*k**6/3 - 56*k**5/5 + 15*k**4 + 24*k**3 - 27*k**2 + 72. Find d such that u(d) = 0.
-1, 0, 3/5, 3
Let j(h) = h**3 + 7*h**2 + 5*h - 7. Let l be j(-6). Let s(k) = -2*k**3 + k**2 + 3*k + 2. Let n be s(l). Factor 3*q**3 - q**3 + 5*q**2 - q**3 + n*q - 2*q**2.
q*(q + 1)*(q + 2)
Let w(i) be the second derivative of 0 + 0*i**5 - 5*i + 5/6*i**4 + 0*i**3 - 1/6*i**6 - 5/2*i**2. Solve w(z) = 0.
-1, 1
Let n(u) = -15*u - 72. Let d be n(-5). Let z(p) be the first derivative of -d + 8/7*p - 10/21*p**3 - 8/7*p**2. Determine l, given that z(l) = 0.
-2, 2/5
Let s(y) be the second derivative of -y**6/90 + y**5/20 - y**4/18 - 20*y - 2. Determine d so that s(d) = 0.
0, 1, 2
Suppose -281*a - 53*a + 85 = -917. Let f = 1791/5 + -357. Factor -2/5 + 8/5*u**a - f*u + 0*u**2.
2*(u - 1)*(2*u + 1)**2/5
Let t(w) be the third derivative of 0*w + 0*w**3 + 1/21*w**4 + 0 + 1/147*w**7 - 15*w**2 + 1/140*w**6 - 2/35*w**5. Find z, given that t(z) = 0.
-2, 0, 2/5, 1
Let z be 1/3 - (-92)/3. Let x = -12 + 14. Suppose -27 + 17*p - z*p**2 - 3*p**3 + 10*p**x - 62*p = 0. Calculate p.
-3, -1
Suppose 1 + 19 = 5*d. Let h be (0/(d/1))/(-3). Factor -2/5*b**3 + h*b - 8/5 + 6/5*b**2.
-2*(b - 2)**2*(b + 1)/5
Let h(w) = -3*w**3 - 41*w**2 + 395*w + 441. Let g(v) = -v**3 - v. Let a(d) = 4*g(d) - h(d). Factor a(p).
-(p - 21)**2*(p + 1)
Solve s - 7*s**2 - 8*s**2 + 6*s**2 - 3*s = 0 for s.
-2/9, 0
Let d = 56 - 56. Let h(i) be the second derivative of 0*i**3 + 4*i + 1/54*i**4 + 0*i**2 + d. Factor h(y).
2*y**2/9
Let n(z) be the first derivative of -1/3*z - 2/9*z**6 + 10/9*z**3 + z**5 + 0*z**2 + 2 - 5/3*z**4. Factor n(d).
-(d - 1)**4*(4*d + 1)/3
Factor 0 + 8/3*t + 0*t**3 - 4*t**2 + 4/3*t**4.
4*t*(t - 1)**2*(t + 2)/3
Let s(g) be the first derivative of -3*g**7/70 + g**6/25 + 27*g**5/100 - 2*g**3/5 - 26*g - 27. Let m(r) be the first derivative of s(r). Solve m(x) = 0 for x.
-1, 0, 2/3, 2
Suppose 0 = 3*w + w. Let x = -5452/11 + 496. Solve 0 + 10/11*n**4 - 4/11*n**5 - 2/11*n**3 + w*n - x*n**2 = 0 for n.
-1/2, 0, 1, 2
Suppose 0 = -y - 5*w - 13, 0 = y + 3*w + 9. Let u be (7/(-28))/(y - 1126/(-384)). Factor 2*h + u*h**2 + 4/13 + 18/13*h**3.
2*(h + 2)*(3*h + 1)**2/13
Factor 0 - 4/3*a**4 + 14/3*a**2 - 7/3*a**3 - a.
-a*(a - 1)*(a + 3)*(4*a - 1)/3
Let r = 19 - 21. Let t be (-1 + r/4)*-4. Factor p + 3*p**5 - 5*p - t*p**3 + 7*p.
3*p*(p - 1)**2*(p + 1)**2
Let m = 11 - 8. Suppose -42 = -5*o + m*r, 3*o - 5*r - 31 - 7 = 0. Find i such that 15*i - 2 - 4 + 3*i**4 - 9*i**3 - o*i + 2*i**2 + i**2 = 0.
-1, 1, 2
Let y(c) = 2*c**2 + 9*c + 3. Let g(a) = a**2 + 4*a + 1. Let d(f) = -14*g(f) + 6*y(f). Factor d(o).
-2*(o - 1)*(o + 2)
Let x(f) = -f**3 - 4*f**2 + 17*f. Let j be x(-7). Solve 24*w**4 + 124*w**3 + 117*w**2 + 104*w**2 - 37*w**2 + 16 + 128*w + j*w**2 = 0.
-2, -1, -1/6
Suppose 106 + 94 = -4*w. Let u be (w/150)/((-5)/12*2). Factor -6/5*r + 2/5 - u*r**3 + 6/5*r**2.
-2*(r - 1)**3/5
Let p(u) = u**2 - 764*u + 4548. Let r be p(6). Let 1/7*d + 0 + 1/7*d**5 - 2/7*d**3 + r*d**4 + 0*d**2 = 0. Calculate d.
-1, 0, 1
Let x(y) be the first derivative of -y**4/4 - 4*y**3/3 + y**2/2 + 4*y - 133. Factor x(f).
-(f - 1)*(f + 1)*(f + 4)
Let r(l) be the third derivative of l**7/420 - 7*l**6/240 + l**5/20 - 173*l**2. Factor r(v).
v**2*(v - 6)*(v - 1)/2
Factor -4/9*b - 1/9*b**2 + 0.
-b*(b + 4)/9
Let m be -3 + ((-1)/5)/(2/(-34)). Let x = m - -4/15. Let 0*b - x*b**2 + 0 - 2/3*b**3 = 0. What is b?
-1, 0
Let a = -258 + 3637/14. Let h = -9/7 + a. Determine r so that h*r**2 - 3/2*r - 1/2 + 3/2*r**3 = 0.
-1, -1/3, 1
Let f(u) be the third derivative of -u**5/30 + 5*u**4/12 + 14*u**3/3 + 14*u**2. What is i in f(i) = 0?
-2, 7
Let t(u) be the first derivativ