of c(j). Suppose i(h) = 0. Calculate h.
-1, 0, 1
Let k(o) be the second derivative of -o**7/252 - o**6/90 + o**5/60 + o**4/9 + 7*o**3/36 + o**2/6 - 6*o. Factor k(m).
-(m - 2)*(m + 1)**4/6
Factor -498 - 146*g**2 + 8 - 491*g + 801*g**2 + 106*g + 15*g**4 + 205*g**3.
5*(g - 1)*(g + 7)**2*(3*g + 2)
Let w be ((-5)/((-10)/6))/1. Suppose w*g = -g + 16, 0 = -4*u + 2*g. What is b in 2 + 3*b**u + 8*b**2 - 9*b**2 + 4*b = 0?
-1
Let x(h) = -9*h**3 + 116*h**2 - 276*h + 167. Let a(j) = -5*j**3 + 58*j**2 - 136*j + 83. Let y(p) = -7*a(p) + 3*x(p). Determine b so that y(b) = 0.
5/4, 2, 4
Let m(q) be the first derivative of q**4/48 + 5*q**3/24 + q**2/2 + 23*q - 45. Let z(p) be the first derivative of m(p). Suppose z(n) = 0. Calculate n.
-4, -1
Suppose 126 = 3*b + r - 0*r, 0 = 2*b - r - 89. Factor -96*y + 29 - 24*y**3 + 40*y**4 - 72*y**2 - b*y**4 - 77.
-3*(y + 2)**4
Let y(p) be the first derivative of -25/3*p + 7 - 5/3*p**2 - 1/9*p**3. Solve y(m) = 0.
-5
Let x(s) be the first derivative of s**6/18 + 8*s**5/15 + s**4/2 - 40*s**3/9 + 25*s**2/6 + 130. Factor x(y).
y*(y - 1)**2*(y + 5)**2/3
Let o(g) be the first derivative of 0*g - 7 - 1/60*g**5 + 1/6*g**4 + g**3 - 1/180*g**6 + 0*g**2. Let y(u) be the third derivative of o(u). Factor y(x).
-2*(x - 1)*(x + 2)
Let t be 29/((-1624)/(-483)) - 8. Suppose 23/8*j + t*j**2 - 5/4 = 0. Calculate j.
-5, 2/5
Let c(o) be the first derivative of 1/4*o**4 - 1/2*o**2 + 0*o - 1/3*o**3 + 21 + 1/5*o**5. What is m in c(m) = 0?
-1, 0, 1
Let j(a) = 2*a**2 + 23*a - 21. Let d be j(-13). Let n be (-5 + 18)*d/30. Let 3*h**2 - n*h - 18/5 = 0. What is h?
-2/5, 3
Let z be 1/2*(-82)/(-123). Let t(j) be the second derivative of 0*j**2 + z*j**4 + 0 - 1/5*j**6 - 1/10*j**5 + 0*j**3 - 3*j. What is y in t(y) = 0?
-1, 0, 2/3
Let m(q) = q**3 + 25*q**2 + 128*q + 14. Let o be m(-7). Find u, given that -1/6*u**2 + 1/6*u**4 + 0 + 0*u**3 + o*u = 0.
-1, 0, 1
Let l(g) be the first derivative of g**3/18 + 11*g**2/6 + 121*g/6 - 38. Factor l(t).
(t + 11)**2/6
Let x(k) be the first derivative of 6*k**5/55 + 2*k**4/11 + 2*k**3/33 + 147. Factor x(u).
2*u**2*(u + 1)*(3*u + 1)/11
Suppose 4*r = 3*a - 2*a + 9, -5*r = -5*a. Let 3*p**2 + 0*p**a + 3*p - 3 + 0*p**2 - 3*p**3 + 0*p**3 = 0. Calculate p.
-1, 1
Factor 4*l**2 + 4*l + 3*l**2 + 32*l**3 + 5*l**2 - 29*l + 5*l.
4*l*(l + 1)*(8*l - 5)
Find x such that -1/6*x**2 + 1/3*x + 1/2 = 0.
-1, 3
Let l = 1559/555 + -1/111. Let -6/5*b**4 + 16/5*b + 18/5*b**5 - 34/5*b**3 - 8/5 + l*b**2 = 0. Calculate b.
-1, 2/3, 1
Factor 5*d - 5*d**2 - d**2 + 13*d**3 - 9*d**3 - 3*d**3 + 0*d**2.
d*(d - 5)*(d - 1)
Determine q so that -115*q - 4*q**3 + 18*q**2 + 187*q - 9*q**2 + q**3 + 84 = 0.
-2, 7
Let z(k) = 15*k**3 - 36*k**2 + 69*k - 21. Let v(l) = 23*l**3 - 73*l**2 + 138*l - 43. Let u(q) = -3*v(q) + 5*z(q). Factor u(i).
3*(i - 1)*(i + 8)*(2*i - 1)
Let y be 0*3/9*1. Let q = -55 - -61. Let -3*f - 2*f**3 + y*f + 5*f**3 + q - 6*f**2 + 0*f**2 = 0. Calculate f.
-1, 1, 2
Let f = -9 + 11. Suppose 4*r - a - a = 2, -f*r = 2*a + 2. Factor 0*v**3 + r*v + 4/7*v**2 - 2/7 - 2/7*v**4.
-2*(v - 1)**2*(v + 1)**2/7
Let w(a) = -8*a**2 - 741*a - 16928. Let t(l) = 4*l**2 + 370*l + 8464. Let p(i) = 5*t(i) + 2*w(i). Factor p(z).
4*(z + 46)**2
Suppose -2*k = 2*k + 60. Let v be (-35)/k + 1/(-3). Factor -3*q**2 + 6*q**v + 36 - 39.
3*(q - 1)*(q + 1)
Let s = -23 + 45. Let l(a) = 5*a**3 - 2*a**2. Let u(o) = -19*o**3 + 8*o**2. Let n(g) = s*l(g) + 6*u(g). Factor n(k).
-4*k**2*(k - 1)
Let x(r) be the second derivative of r**4/102 + 2*r**3/17 + 5*r**2/17 + 31*r. Find h, given that x(h) = 0.
-5, -1
Let c(s) be the first derivative of 2*s**3/15 + 339*s**2/10 + 169*s/5 + 570. Find g, given that c(g) = 0.
-169, -1/2
Let a be (0 + 4/2 + -3)/(-15). Let b(z) be the first derivative of -a*z**3 + 0*z**2 + 1/25*z**5 - 1/30*z**6 + 0*z + 1/20*z**4 + 3. Let b(f) = 0. What is f?
-1, 0, 1
Let u = -284 + 854/3. Let s(t) be the first derivative of u*t - 1/9*t**3 + 5 - 1/6*t**2. Let s(f) = 0. Calculate f.
-2, 1
Let h = 2747/90 + -517/18. Factor h*p**2 + 0*p - 3/5*p**3 + 0.
-3*p**2*(p - 3)/5
Determine z, given that 32*z - 63*z**2 + 15*z**2 + 22*z**2 - 11*z**2 + 4*z**3 + z**2 = 0.
0, 1, 8
Let a = 11/46 + 887/138. Let x = -11/326 + 1663/978. Factor x*t**2 - a*t + 0.
5*t*(t - 4)/3
Let d(b) be the second derivative of -b**7/10080 - b**6/2880 + b**5/240 - b**4 - 10*b. Let c(m) be the third derivative of d(m). Find u, given that c(u) = 0.
-2, 1
Let f(q) be the first derivative of q**4/42 + q**3/7 + 2*q**2/7 - 2*q - 8. Let g(s) be the first derivative of f(s). Find b, given that g(b) = 0.
-2, -1
Let f(l) be the third derivative of l**9/15120 + l**8/2520 + l**7/1260 + l**5/5 + 16*l**2. Let r(q) be the third derivative of f(q). What is o in r(o) = 0?
-1, 0
Let x be (17 - (-222)/(-12)) + (-14)/(-4). Determine k so that -2/9*k - 1/9 + 1/9*k**4 + 2/9*k**3 + 0*k**x = 0.
-1, 1
Let l(j) be the second derivative of 0*j**3 + 0 - 1/5*j**2 + 1/30*j**4 + 5*j. Find g, given that l(g) = 0.
-1, 1
Solve 0 + 14/17*s**2 + 12/17*s + 2/17*s**3 = 0 for s.
-6, -1, 0
Suppose 4 = -9*y - 14. Let x(t) = t**4 - t**2 + t. Let v(a) = -a**4 + a**3 - 4*a**2 - 6*a + 8. Let o(s) = y*v(s) - 4*x(s). Determine z so that o(z) = 0.
-2, 1, 2
Let z(f) be the second derivative of -f**7/2625 + f**6/1500 - 7*f**2 - 2*f - 2. Let t(y) be the first derivative of z(y). Factor t(o).
-2*o**3*(o - 1)/25
Let w(a) = 2*a + 15. Let h be w(-6). Factor -9*k**h + 19*k**3 + 0*k**3 - 5*k**4.
-5*k**3*(k - 2)
Let g be (91/546)/((-5)/(-2)). Let l(s) be the second derivative of -1/25*s**5 + 1/105*s**7 + 0 + 0*s**2 + s + 0*s**6 + 0*s**4 + g*s**3. What is h in l(h) = 0?
-1, 0, 1
Let o(p) be the first derivative of 2*p**6/27 + 8*p**5/45 - 8*p**3/27 - 2*p**2/9 - 174. Factor o(r).
4*r*(r - 1)*(r + 1)**3/9
Let w(f) = f**2 + 60*f - 47. Let p(t) = 3*t**2 + 240*t - 180. Let i(n) = 2*p(n) - 9*w(n). Factor i(g).
-3*(g - 1)*(g + 21)
Solve 10*i - 5/2*i**3 - 5/4*i**4 + 15*i**2 - 40 = 0 for i.
-4, -2, 2
Let i(v) be the third derivative of -v**7/7560 - 7*v**6/540 - 49*v**5/90 - v**4/24 + 2*v**3 + 3*v**2. Let q(d) be the second derivative of i(d). Factor q(g).
-(g + 14)**2/3
Let k = 3/1217 + 4847/8519. Determine i, given that -k*i - 2/7*i**2 - 2/7 = 0.
-1
Let g(f) be the first derivative of -f**6/25 - 7*f**5/50 - f**4/6 - f**3/15 + 12*f + 22. Let t(x) be the first derivative of g(x). Find w such that t(w) = 0.
-1, -1/3, 0
Let q = -38515/4 + 9630. Solve 0*z - q*z**3 + 1/4*z**4 + 0*z**2 + 0 = 0 for z.
0, 5
Let z(g) be the third derivative of g**8/40320 - g**6/1440 + g**5/30 - 8*g**2. Let n(d) be the third derivative of z(d). Factor n(y).
(y - 1)*(y + 1)/2
Let m(p) be the first derivative of p**6/1980 + p**5/55 + 3*p**4/11 - 4*p**3/3 + 19. Let i(n) be the third derivative of m(n). Suppose i(u) = 0. What is u?
-6
Let z be 3/4*(-1596)/(-342) + -3. Factor -2*w**2 + 3/2*w**3 + z*w**4 + 0*w + 0.
w**2*(w - 1)*(w + 4)/2
Let y be (-2)/((-6 + 4)*(-42)/772). Let w = y - -59/3. Factor 3/7*i**3 - 3/7*i**4 + w*i**2 + 6/7 - 15/7*i.
-3*(i - 1)**3*(i + 2)/7
Suppose -98*t = -94*t - 412. Let u = 1341/13 - t. Solve -2/13 - 6/13*o**2 - 6/13*o - u*o**3 = 0.
-1
Let v(y) = -8*y**2 + 16*y + 20. Let k(d) = -7*d**2 + 16*d + 20. Let n(u) = -4*k(u) + 3*v(u). Let n(b) = 0. Calculate b.
-1, 5
Determine h so that 0 + 3/2*h**2 + 15/2*h = 0.
-5, 0
Let y = 8954 - 8950. Factor 1/3 + 0*m**3 + 0*m - 2/3*m**2 + 1/3*m**y.
(m - 1)**2*(m + 1)**2/3
Let t(y) be the third derivative of 0*y + 1/156*y**4 + 20*y**2 + 0*y**3 - 1/130*y**5 + 0. Factor t(n).
-2*n*(3*n - 1)/13
Suppose 0 = -5*z + 2*z - 6. Let i(n) = -n**2 - 2*n. Let r be i(z). Factor 24*v**2 + r + 2*v + 0*v + 96*v**3 + 0 + 128*v**4.
2*v*(4*v + 1)**3
Suppose 2*n + 5*n - 42 = 0. Solve 3*t**4 - 15*t**3 + 6*t**3 + n*t**3 = 0 for t.
0, 1
Let y(m) = -m**2 + 411*m - 44. Let h(g) = 82*g - 8. Let b(l) = -11*h(l) + 2*y(l). Determine j so that b(j) = 0.
-40, 0
Let q(f) be the third derivative of f**7/1050 + f**6/12 - 13*f**5/75 - 5*f**4/12 + 17*f**3/10 + 5*f**2 - 35. Factor q(w).
(w - 1)**2*(w + 1)*(w + 51)/5
Let f(g) be the first derivative of g**5/50 + g**4/6 - g**3/15 - g**2 - 27*g - 10. Let k(q) be the first derivative of f(q). Factor k(t).
2*(t - 1)*(t + 1)*(t + 5)/5
Let d = -52915/3 + 17640. Factor -d - 1/2*b + 1/6*b**2.
(b - 5)*(b + 2)/6
Let i(n) = -n**4 - 7*n**3 + 43*n**2 + 1