7 - 61*h**3 + x.
(2*h + 1)*(13*h + 2)**2
Let y(t) = -t**2 - t + 2. Let c be y(0). Suppose 21*k - c = 20*k. Solve -8*l + 5*l**k + 21*l + 15 + 12*l - 5*l**3 = 0 for l.
-1, 3
Let f(l) be the first derivative of -l**4/16 + 4*l**3/3 - 13*l**2/8 - 15*l/2 + 803. Factor f(o).
-(o - 15)*(o - 2)*(o + 1)/4
Let h(s) be the third derivative of -s**8/336 + s**7/63 + 7*s**6/60 - 2*s**5/5 - 71*s**4/72 + 5*s**3/3 + 37*s**2 + 2. Let h(n) = 0. Calculate n.
-3, -1, 1/3, 2, 5
Let q(g) be the first derivative of -9*g**6/2 + 153*g**5/5 + 51*g**4/4 - 191*g**3 - 312*g**2 - 180*g + 2155. Find w, given that q(w) = 0.
-1, -2/3, 3, 5
Let y = 242 - 584. Let g = y + 1718/5. Let -15*u**4 + 4*u - g + 38/5*u**2 - 13*u**3 = 0. What is u?
-1, -2/3, 2/5
Let o(z) = 26*z**2 - 28*z**2 - 5*z - 2*z. Let w be o(-3). Suppose -14*r**2 - 5*r**4 - 2*r**w + 8*r**2 - r**3 + 8*r**4 = 0. Calculate r.
-1, 0, 2
Suppose -2*n = 6*b - 12, 6 = 6*b - 3*b + 4*n. Let r be -16*((0 - b) + (-344)/(-176)). Find q such that -2/11*q**3 + 4/11 - 10/11*q + r*q**2 = 0.
1, 2
Let b(o) be the first derivative of -o**4/16 - 71*o**3/12 + 297*o**2/8 - 225*o/4 - 1258. Solve b(w) = 0.
-75, 1, 3
Let k(i) = -7*i - 40. Let a be k(-6). Let f be ((-40)/(-4))/((-2)/(-1)). Suppose 6*g**3 - 6*g**4 + 6 + 3*g**a - 5*g**f + 21*g + 2*g**5 + 21*g**2 = 0. What is g?
-1, 2
Let r(n) be the second derivative of 12/5*n**2 + 1/15*n**4 + 0 - 132*n - 14/15*n**3. Factor r(c).
4*(c - 6)*(c - 1)/5
Let r be (-60)/(-28) + (-53)/1484*-60. Determine z so that r*z + 2/7*z**2 + 52/7 = 0.
-13, -2
Let v(x) = -12*x**4 - 326*x**3 - 2084*x**2 + 1960*x + 6. Let b(n) = 48*n**4 + 1304*n**3 + 8334*n**2 - 7840*n - 23. Let o(d) = 6*b(d) + 23*v(d). Factor o(p).
2*p*(p + 14)**2*(6*p - 5)
Let f(y) be the first derivative of y**7/14 - y**6/2 + 21*y**5/20 - 3*y**4/4 + 72*y - 58. Let z(c) be the first derivative of f(c). Find k such that z(k) = 0.
0, 1, 3
Let k be 5 - 153/27 - ((-244)/144 + 1). Let t(o) be the second derivative of -k*o**4 + 14*o + 8/9*o**3 + 0 - 32/3*o**2. Factor t(f).
-(f - 8)**2/3
Let c = 9 - -31. Let g be c - 12/(-7 + 4). Let g - 12 - 22 - 10*o**2 + o - o**3 = 0. What is o?
-10, -1, 1
Let c = 1216404274/1804651431 - 1/1478011. Let x = c - 3/407. Factor 2/3*g + 2/3*g**2 - x*g**3 - 2/3.
-2*(g - 1)**2*(g + 1)/3
Suppose 8*w - 10*w + 28 = 5*o, 5*w - 28 = -2*o. Let 80 + 12*p**w - 134 + 51*p**3 - 24*p**2 - 22*p - 203*p = 0. Calculate p.
-3, -1/4, 2
Factor 2/5*w**3 - 1232 - 6152/5*w - 1532/5*w**2.
2*(w - 770)*(w + 2)**2/5
Suppose -5*d + d + 4*r = 2236, 0 = 5*d - 2*r + 2810. Let v = d + 564. Let 44/5*t**4 - 26/5*t**3 + 0*t + v + 4/5*t**2 - 16/5*t**5 = 0. Calculate t.
0, 1/4, 1/2, 2
Find p such that 77*p**2 + 9/2 - 159/4*p + 49*p**3 = 0.
-2, 3/14
Let t(n) be the third derivative of -17/6*n**4 + 19/15*n**6 + 0*n - 101/30*n**5 + 7*n**2 + 8*n**3 + 3 + 1/3*n**7. Solve t(r) = 0.
-3, -4/7, 2/5, 1
Let q(i) be the first derivative of -2*i**3/3 - 1680*i**2 - 1411200*i + 1932. Factor q(n).
-2*(n + 840)**2
Let s(y) be the third derivative of 0 + 0*y - 1/315*y**7 - 1/18*y**5 - 1/45*y**6 - 1/18*y**4 + 152*y**2 + 0*y**3. Determine a, given that s(a) = 0.
-2, -1, 0
Let u(o) be the second derivative of -1/60*o**6 - 1/3*o**4 + 2/15*o**5 - 5*o**2 - 23*o + 0 + 0*o**3. Let r(s) be the first derivative of u(s). Factor r(c).
-2*c*(c - 2)**2
Suppose 0 = 8*j + 3*j - 869. Let a = j + -77. Factor -16*w**5 + 36*w**5 + a*w**4 - 4*w**3 - 18*w**5.
2*w**3*(w - 1)*(w + 2)
Let d = 10806 + -10798. Let l(h) = -h**2 - 10*h - 14. Let b be l(-8). What is u in d*u**b + 78/5*u + 36/5 - 12/5*u**3 - 2/5*u**5 - 12/5*u**4 = 0?
-3, -1, 2
Let g(p) = -3*p**4 - p**2 + p. Let w(d) = -19*d**4 - 5*d**3 - 12*d**2 + 6*d. Let k(a) = -30*g(a) + 5*w(a). Factor k(q).
-5*q**2*(q + 2)*(q + 3)
Let v(b) be the first derivative of 0*b**2 + 24 + 1/216*b**6 - 29/3*b**3 + 1/18*b**4 + 0*b + 1/30*b**5. Let x(a) be the third derivative of v(a). Factor x(c).
(c + 2)*(5*c + 2)/3
Let t(n) be the second derivative of n**7/3780 - 11*n**6/270 - n**5/4 - 59*n**4/12 + 2*n + 66. Let y(p) be the third derivative of t(p). Solve y(l) = 0 for l.
-1, 45
Let k(h) be the first derivative of -4*h**5/5 - 13*h**4/4 - 8*h**3/3 + 7*h**2/2 + 6*h + 3571. Factor k(m).
-(m + 1)**2*(m + 2)*(4*m - 3)
Factor 16*j + 19*j + 34 - 25*j**2 + 222*j + 40*j**2.
(j + 17)*(15*j + 2)
Let h(o) be the first derivative of 0*o + 10/11*o**4 - 200/33*o**3 + 86 + 0*o**2 - 2/55*o**5. Solve h(g) = 0.
0, 10
Let t(i) be the first derivative of -i**3/3 + 4*i**2 + 88*i + 151. Let l be t(14). Factor l*g**3 + 4/5 + 28/5*g + 53/5*g**2.
(g + 2)*(4*g + 1)*(5*g + 2)/5
Solve 42 + 13*x - 1/3*x**2 = 0 for x.
-3, 42
Let w(a) = -6*a**2 + 47*a - 60. Let b be w(6). Let g be 2/6*54/b. Suppose -v + 1/2*v**2 + v**4 + 5/2*v**g + 0 = 0. What is v?
-2, -1, 0, 1/2
Let s(g) be the second derivative of -g**7/63 + 14*g**6/15 - 157*g**5/30 + 32*g**4/3 - 76*g**3/9 + 1682*g - 2. Solve s(a) = 0.
0, 1, 2, 38
Let v be (-2)/(-4) + (-101)/2 - 0. Let t = v - -54. Factor 11*z**5 + 0*z**t + 6*z**4 - 6*z**5 - 2*z**5.
3*z**4*(z + 2)
Let o = -68 + 84. Let y be ((-10)/6)/(o/(-48)). Let y*t**2 - 7*t**4 + 0*t**3 + 2*t**4 + 5*t - 5*t**3 = 0. What is t?
-1, 0, 1
Let i be 4 - (3 - 3/6)/1. Let o be 510/170 + (-9)/(-2). Factor 6 + i*k**2 + o*k.
3*(k + 1)*(k + 4)/2
Suppose -4*b + 4 = -3*l, 0*l - 5*b + 36 = 4*l. Let w be (l/(-10))/(200/(-125)). Find c, given that w*c**2 + 1/2 + 3/4*c = 0.
-2, -1
Suppose -2*o = 4*i - 26, 5*o - 4*o = 5*i - 22. Suppose -i*r = 3*d + 9, -d + 3*r - 13 = 8*r. Factor 0*g + 3/4*g**3 - 2*g**4 + 0 - 3/4*g**5 + 0*g**d.
-g**3*(g + 3)*(3*g - 1)/4
Let t = -780 - -783. Let i(d) be the second derivative of -1/96*d**4 + 1/4*d**2 + 1/16*d**t + 0 + 5*d. Determine k so that i(k) = 0.
-1, 4
Let i(p) be the second derivative of -p**4/96 + 11*p**3/24 - 121*p**2/16 - 130*p. Let i(j) = 0. Calculate j.
11
Let i = 190936 + -190933. Find s, given that -18/7*s**2 + 8/7*s - 2/7*s**4 + 12/7*s**i + 0 = 0.
0, 1, 4
Suppose 95*s - 81909 = -81719. Factor 0 + 6/5*k + 2/5*k**4 + 2/5*k**3 - s*k**2.
2*k*(k - 1)**2*(k + 3)/5
Determine r so that -225/4 + 120*r - 143/2*r**2 - 1/4*r**4 + 8*r**3 = 0.
1, 15
Let y(w) = 12*w**3 - 50*w**2 - 57*w + 92. Let k(r) = 5*r**3 - 25*r**2 - 28*r + 44. Let j(v) = -9*k(v) + 4*y(v). Solve j(l) = 0.
-7, -2, 2/3
Suppose 0 = -3*k + 3*n - 36, -23*k + 3*n - 51 = -25*k. Factor 7/4*t - k - 1/4*t**2.
-(t - 4)*(t - 3)/4
Factor 380/11 - 2/11*h**2 - 186/11*h.
-2*(h - 2)*(h + 95)/11
Let c = -11/5 + 38/15. Let k = 22096 - 22096. What is v in 0*v**2 + k*v - c*v**3 + 0 = 0?
0
Let i(c) be the first derivative of c**5/10 + 8*c**4 + 1023. Factor i(g).
g**3*(g + 64)/2
Let g(h) be the first derivative of 3*h**5/100 + 3*h**4/20 - h**3/10 - 9*h**2/10 + 87*h + 58. Let b(x) be the first derivative of g(x). Factor b(d).
3*(d - 1)*(d + 1)*(d + 3)/5
Determine h so that -537 - 108*h**2 + 396*h**2 - 176*h - 287*h**2 = 0.
-3, 179
Suppose 8 = -2*x - 2*o, -2*o = -41*x + 40*x + 8. Let x + 1/5*k**4 - 11/5*k**2 + 4/5*k**3 + 6/5*k = 0. Calculate k.
-6, 0, 1
Let z(q) be the first derivative of 2*q**3/15 + 183*q**2/5 - 4353. Factor z(j).
2*j*(j + 183)/5
Let j(u) = -u + 6. Let z be j(4). Suppose -2*h + 20 = b + 2*h, -z*h + 8 = 0. Let b*f**4 - f**5 - 15*f**4 + 2*f + 10*f**4 + 3*f**3 + 5*f**2 = 0. What is f?
-1, 0, 2
Let p(l) be the third derivative of l**6/40 - 3*l**5/10 + l**4 + 1732*l**2 - 2. Suppose p(k) = 0. What is k?
0, 2, 4
Let y be (((-576)/1920)/((-4)/(-10)))/(1/(-4)). Suppose 0 = -v + 4*v - 12. Let -25/4*u**2 + 3 - 13/4*u**y - 1/2*u**v - 2*u = 0. What is u?
-3, -2, 1/2
Let z be (61 - (-4 + 8))*(-2 - -1). Let n be (2 - 45/21)/(z/798). Suppose 1/3*l + 2/3 - 2/3*l**3 + 1/3*l**5 - 4/3*l**n + 2/3*l**4 = 0. Calculate l.
-2, -1, 1
Let v(f) be the first derivative of -f**2/2 - 6*f - 13. Let n be v(-10). Factor -8*m**3 - 3*m**4 - m**5 + 14*m**3 + 5*m**n - 7*m**3.
-m**3*(m - 1)**2
Let y(b) be the third derivative of 0*b + 1/24*b**4 + 92*b**2 + 0*b**3 + 0 + 1/105*b**7 - 3/40*b**5 + 1/80*b**6. Factor y(n).
n*(n - 1)*(n + 2)*(4*n - 1)/2
Let p(k) be the third derivative of 11/6*k**4 + 0 + 20*k**3 + 0*k + 248*k**2 + 1/15*k**5. Factor p(r).
4*(r + 5)*(r + 6)
Suppose 81/4*j**2 - 243/8 + 25/8*j**4 - 27/4*j + 1/4*j**5 + 27/2*j**3 = 0. What is j?
-9/2, -3, 1
Find h such that -4*h - 53*h - h**3 + 18*h**2 - h + 6*h**2 - 17*h - 100 = 0.
-1, 5, 