h**5/5 + 37*h**4/3 + 136*h**3/3 + 72*h**2 + 213*h. Factor t(x).
-4*(x - 9)*(x + 1)*(x + 2)**2
Let p = -2475 - -2477. Factor 6*h - 4*h**p + 0 + 2/3*h**3.
2*h*(h - 3)**2/3
Let p(v) = -v**2 + 8*v - 3. Let f be 10/(-35) - (-32)/14. Let w(u) = -3 + 2*u**f + 9 - 25*u + 1 + 2. Let b(n) = -7*p(n) - 2*w(n). Factor b(k).
3*(k - 1)**2
Let -3/2*w**2 - 36*w - 66 = 0. What is w?
-22, -2
Let g(d) = -14*d**3 - 16*d**2 - 12*d - 6. Let k(i) = 26*i**3 + 31*i**2 + 24*i + 11. Let f(y) = -11*g(y) - 6*k(y). Suppose f(p) = 0. Calculate p.
-3, -2, 0
Factor 1/3*c**2 - 10/3*c + 0.
c*(c - 10)/3
Let g(v) be the third derivative of v**5/240 - v**4/12 - 35*v**3/8 + 183*v**2 + 2*v. Determine f so that g(f) = 0.
-7, 15
Suppose -4*i + 9 = t - 0*i, 5*i = 4*t - 15. Find k such that 140*k - 155 - 349 - t*k**2 + 65 - 541 = 0.
14
Factor 4/3*m**3 + 0 - 3*m**2 + 5/3*m.
m*(m - 1)*(4*m - 5)/3
Let t(y) be the third derivative of 8/3*y**3 + 1/12*y**6 + 1/210*y**7 + 11/20*y**5 + 5/3*y**4 - 43*y**2 + 0 + 0*y. Find r, given that t(r) = 0.
-4, -1
Let w(m) be the third derivative of -2*m**7/21 + 11*m**6/30 + 4*m**5/5 - 10*m**4/3 - 32*m**3/3 + m**2 + 191. Suppose w(g) = 0. Calculate g.
-1, -4/5, 2
Let r(x) be the third derivative of 7*x**2 + 5/189*x**7 - 16/27*x**4 + 4/27*x**6 + 4/45*x**5 + 0 + 16/27*x**3 + 0*x. Factor r(c).
2*(c + 2)**2*(5*c - 2)**2/9
Let a(q) be the third derivative of q**8/168 - 4*q**7/105 + q**6/10 - 2*q**5/15 + q**4/12 + 9*q**2. Factor a(o).
2*o*(o - 1)**4
Let y(x) be the third derivative of -x**8/1344 + x**6/144 + 5*x**4/12 + 10*x**2. Let g(b) be the second derivative of y(b). Determine a, given that g(a) = 0.
-1, 0, 1
Let p(l) be the first derivative of l**6/8 - 9*l**5/10 - 3*l**4/8 + 3*l**3 + 3*l**2/8 - 9*l/2 - 125. What is d in p(d) = 0?
-1, 1, 6
Let f(s) be the second derivative of 5/114*s**4 + 11/57*s**3 + 0 + 2/19*s**2 + 7*s. Factor f(v).
2*(v + 2)*(5*v + 1)/19
Let v(n) be the third derivative of n**5/300 + 43*n**4/120 + 2*n**2 + 7. Factor v(g).
g*(g + 43)/5
Let o(n) = -5*n - 40. Let k be o(-10). Determine a so that -2*a**4 + 6*a**3 + 10 - k - 17*a**2 + 13*a**2 = 0.
0, 1, 2
Let n(o) be the third derivative of -1/24*o**4 + 1/12*o**3 + 0 - 2*o**2 + 1/120*o**6 - 1/420*o**7 + 0*o + 0*o**5. Solve n(p) = 0.
-1, 1
What is d in -1512*d + 21168 - 2/7*d**3 + 36*d**2 = 0?
42
Let q be (81/(-189))/((-56)/98). Let 3/4*u**4 - 1 + 3*u - 5/2*u**3 + q*u**2 = 0. Calculate u.
-1, 1/3, 2
Let l be (((-3)/(-2))/3)/(-10*(-4)/64). Factor l - 4/5*u**2 + 2/5*u**3 - 2/5*u.
2*(u - 2)*(u - 1)*(u + 1)/5
Solve -261/2 - 3/2*n**2 - 132*n = 0.
-87, -1
Let v be -2*(-5)/2 - (-3 + 6). Let d(b) be the first derivative of 4/3*b**3 - 4 + 0*b**5 - 4*b + 3*b**2 + 1/3*b**6 - v*b**4. Determine q so that d(q) = 0.
-2, -1, 1
Suppose 0 = 4*y - i + 5, 0 = -5*y + 41*i - 42*i + 5. Find t such that -24/19*t**4 - 10/19*t**5 + y - 18/19*t**3 - 4/19*t**2 + 0*t = 0.
-1, -2/5, 0
Let h be 4 - ((-8292)/(-346))/6. Let c = h - -512/1211. Solve 0 - c*x**2 - 9/7*x = 0 for x.
-3, 0
Let d(g) = -15*g**3 - g**2 - g + 1. Let t be d(1). Let i = t - -16. Factor i*p**3 + 3*p**4 + 3*p**3 - 9*p**2 - 9*p**3.
3*p**2*(p - 3)*(p + 1)
Let g be 5/(90/4)*3. Let h be 0 - (-8)/12*3. Factor -g + 4/3*m**h + 2/3*m.
2*(m + 1)*(2*m - 1)/3
Let g(h) be the second derivative of -h**5/40 + 7*h**3/12 + 3*h**2/2 + 2*h - 133. Factor g(c).
-(c - 3)*(c + 1)*(c + 2)/2
Let t(i) be the second derivative of i**5/60 - 5*i**4/36 + 2*i**3/9 - 4*i + 8. Let t(v) = 0. Calculate v.
0, 1, 4
Suppose 5*r + 52 = 11*b, 4*b - 9*r + 6*r - 26 = 0. What is n in -10/3*n**3 + 10/3*n - 4 + 2/3*n**4 + 10/3*n**b = 0?
-1, 1, 2, 3
Let b(t) be the third derivative of t**5/20 + 19*t**4/8 + 9*t**3 - 506*t**2. Find g, given that b(g) = 0.
-18, -1
Let l(z) = z**2 + 131*z - 156. Let o(x) = -15*x**2 - 1840*x + 2185. Let n(v) = -55*l(v) - 4*o(v). Factor n(f).
5*(f - 1)*(f + 32)
Factor 24/5*t**3 + 0 + 4*t**4 + 4/5*t**5 - 32/5*t - 16/5*t**2.
4*t*(t - 1)*(t + 2)**3/5
Let y(q) be the second derivative of -q**5/22 + 4*q**4/33 - q**3/11 - 376*q. Let y(r) = 0. Calculate r.
0, 3/5, 1
Suppose 11*t - 10*t - 48 = 0. Determine l, given that 0*l - 29*l**2 - t*l**3 - 4*l - 7*l**2 - 4*l - 20*l**4 = 0.
-1, -2/5, 0
Suppose 0 = -n - 5*l + 40, 5*n - 2*l = 71 + 48. Suppose -2*z - v + 15 = 3*z, 5*v = -n. Factor -2/7*k**3 + 0*k - 4/7*k**z + 0 + 2/7*k**2.
-2*k**2*(k + 1)*(2*k - 1)/7
Let m(f) be the first derivative of -f**7/1260 - f**6/720 + f**5/360 + f**4/144 - 17*f**2 + 23. Let y(q) be the second derivative of m(q). Factor y(l).
-l*(l - 1)*(l + 1)**2/6
Let j(u) be the second derivative of 0*u**3 + 4*u + 0*u**4 + 1/120*u**6 + 0*u**5 + 0 - u**2. Let p(w) be the first derivative of j(w). What is z in p(z) = 0?
0
Suppose 8/5*a**3 - 2*a**2 + 4/5*a + 0 - 2/5*a**4 = 0. Calculate a.
0, 1, 2
Let -22*c + 1089 + 1/9*c**2 = 0. Calculate c.
99
Let p be (-1)/(-4) + 315/84. Find m such that -5*m**3 + m**3 + 2*m**p + 36*m**2 - 54 + 4*m**3 - 16*m**3 = 0.
-1, 3
Suppose 3*k - k - 40 = w, 2*w = -5*k + 118. Let t be 4/k + (-12)/66. Factor 0*c**2 + 2/3*c**5 + 0 + 2/3*c - 4/3*c**3 + t*c**4.
2*c*(c - 1)**2*(c + 1)**2/3
Solve 45*k**5 + 392 + 386 + 87*k**3 + 231*k**4 - 144*k - 778 + 189*k**3 - 84*k**2 = 0 for k.
-3, -2, -4/5, 0, 2/3
Let o be (-3*(-248)/(-837))/(0 - 4/6). Suppose -1/6*v**4 - 1/3*v**3 + o*v + 2/3*v**2 + 0 = 0. Calculate v.
-2, 0, 2
Let q(g) be the first derivative of -g**7/70 - 9*g**2 - 5. Let i(l) be the second derivative of q(l). Suppose i(x) = 0. What is x?
0
Let k(z) be the third derivative of 0*z**3 - 1/80*z**6 - 1/560*z**7 - 1/32*z**5 + 0*z - 1/32*z**4 - 32*z**2 + 0. Determine c so that k(c) = 0.
-2, -1, 0
Let y(f) = f**2 + 4*f - 3. Let h be y(-5). Suppose h*g - 8 = -2*g. Suppose -t**3 + t**g + 0*t**2 + 0*t**2 + 0*t**2 + 2*t = 0. What is t?
-1, 0, 2
Let n(t) be the second derivative of t**6/50 - 27*t**5/50 + 117*t**4/20 - 162*t**3/5 + 486*t**2/5 - 49*t. Find j, given that n(j) = 0.
3, 6
Let t(p) be the first derivative of -p**4/96 - p**3/24 + 23*p + 28. Let w(b) be the first derivative of t(b). Factor w(l).
-l*(l + 2)/8
Let f(j) = -j**2 + j. Let x(l) = -2*l**3 + 6*l**2 - 4*l. Suppose -o - 3*a = o + 3, 3*o = -a + 13. Let z(y) = o*f(y) + x(y). Suppose z(s) = 0. Calculate s.
-1, 0, 1
Let w = -198 - -204. Let d be 3/27*(w + -1 + 1). Determine f, given that -2/3*f + 0*f**2 + 0 + d*f**3 = 0.
-1, 0, 1
Solve 10*m + 2*m**3 + 580 - 580 + 12*m**2 = 0.
-5, -1, 0
Let q be (-5)/30*58 + 10. Suppose -q*g**4 + 1 - 17/3*g + g**5 - 6*g**3 + 10*g**2 = 0. Calculate g.
-3, 1/3, 1
Let o(l) = -2*l**2 - 39*l - 100. Let a(i) = i**2 + 41*i + 98. Let b(z) = -3*a(z) - 2*o(z). Factor b(y).
(y - 47)*(y + 2)
Let r(i) be the second derivative of -i**4/24 - 65*i**3/6 - 4225*i**2/4 - 148*i + 2. Factor r(j).
-(j + 65)**2/2
Factor -762/7*o + 48387/7 + 3/7*o**2.
3*(o - 127)**2/7
Let y(g) be the third derivative of 3*g**8/28 - 43*g**7/70 + 29*g**6/20 - 9*g**5/5 + 5*g**4/4 - g**3/2 + 2*g**2 - 7. Let y(f) = 0. Calculate f.
1/4, 1/3, 1
Let g(v) = v**2 - 19*v - 17. Let x be g(20). Suppose 47 = -x*f + 47. Determine k so that 0 + 1/2*k**4 + 0*k**2 + 0*k + f*k**3 = 0.
0
Suppose 57*r = 34*r + 23. Let d(n) be the first derivative of 0*n - r - 1/5*n**2 - 4/15*n**3 - 1/10*n**4. Suppose d(z) = 0. Calculate z.
-1, 0
Suppose -113*n - 34 = -130*n. Let d(h) be the third derivative of 1/4*h**5 + 5/6*h**3 + 5/6*h**4 + 0*h + 0 - h**n. Find b, given that d(b) = 0.
-1, -1/3
Let y(w) be the first derivative of w**5/5 + 45*w**4/4 + 44*w**3/3 + 242. Let y(m) = 0. Calculate m.
-44, -1, 0
Let t(d) = -2*d - 27. Let m be t(-11). Let l be (m/(-4))/((-5)/(-6)). Factor 9/2*r**2 + 15/2*r - 3/2*r**4 - l*r**3 + 3.
-3*(r - 2)*(r + 1)**3/2
Let t(b) = -3*b**2 - 54*b + 57. Let k be t(-19). Let w(x) be the first derivative of 1/8*x**2 + 10 + k*x - 1/12*x**3. Let w(v) = 0. Calculate v.
0, 1
Suppose 3*j + 218*l - 9 = 223*l, 5*j + l = 15. Factor 0*u**4 - 6/11*u**j + 0*u + 0*u**2 + 6/11*u**5 + 0.
6*u**3*(u - 1)*(u + 1)/11
Suppose -20 = 5*k + 3*x, -5*k - 3 = x + 17. Let z be 12/64*k - -1. Solve -z*s**2 - 1/2 + 3/4*s = 0.
1, 2
Let z(k) be the third derivative of k**7/70 + k**6/20 - k**5/5 - k**4 - 103*k**2 + k. Solve z(r) = 0 for r.
-2, 0, 2
Let d(w) be the third derivative of w**7/42 + 7*w**6/12 + 53*w**5/12 + 95*w**4/6 + 30*w**3 + 6*w**2 - 22*w. Factor d(u).
5*(u + 1)*(u + 2)**2*(u + 9)
Let g(