1/6*i**3 = 0.
-2, -1
Determine j, given that -315715*j + 315727*j + 16*j**2 + 40*j**4 - 34*j**3 - 34*j**3 = 0.
-3/10, 0, 1
Let p(k) = k**2 + 170*k + 336. Let m be p(-168). Solve -3/2*j**2 - 3*j**4 + m*j + 0 + 7/4*j**5 - 25/4*j**3 = 0 for j.
-1, -2/7, 0, 3
Let 0*q**2 + 8*q + 1/2*q**5 + 0 - 4*q**3 + 0*q**4 = 0. What is q?
-2, 0, 2
Factor -13/5*c - c**2 - 7/5 + 1/5*c**3.
(c - 7)*(c + 1)**2/5
Factor -17/3*c - 1/9*c**3 + 3*c**2 + 25/9.
-(c - 25)*(c - 1)**2/9
Let i(n) be the first derivative of n**6/144 + n**5/18 + 5*n**4/36 + 13*n**2/2 - 14. Let j(x) be the second derivative of i(x). Determine h so that j(h) = 0.
-2, 0
Let j be (30/(-36))/(((-80)/(-12))/(-2)). Let b(c) be the first derivative of j*c**4 + 2/3*c**3 - 6 - 2/5*c**5 + 0*c**2 - 1/6*c**6 + 0*c. What is v in b(v) = 0?
-2, -1, 0, 1
Let f = -78 - -89. Determine w, given that -1280 + 160*w - 9*w**2 - f*w**2 + 15*w**2 = 0.
16
Let s(r) be the second derivative of r**7/70 + r**6/40 - r**5/45 - r**4/18 - r**2 + 10*r. Let y(c) be the first derivative of s(c). Find f, given that y(f) = 0.
-1, -2/3, 0, 2/3
Let 6 + 43/2*s**2 + 9/2*s**3 - 32*s = 0. Calculate s.
-6, 2/9, 1
Suppose 0 = -28*c + 23*c + 20. Let w be 1*2 + (0 - 3) + c. Factor -1/5 + 1/5*x**2 - x + x**w.
(x - 1)*(x + 1)*(5*x + 1)/5
Let k(h) = -24*h + 26. Let y(m) = 8*m - 9. Let x(i) = -3*k(i) - 8*y(i). Let s be x(1). Factor 0 + 3/5*n**3 + 3/5*n**s - 6/5*n.
3*n*(n - 1)*(n + 2)/5
Let 81/5*a**4 - 198/5*a**3 + 20*a - 12/5 - 167/5*a**2 = 0. Calculate a.
-1, 2/9, 3
Let l = 23 - 21. What is r in -48*r**5 + 8*r**3 + 4*r**2 + 51*r**4 - 7*r**4 - 3*r**l - 5*r**2 = 0?
-1/3, 0, 1/4, 1
Let p(j) be the second derivative of -j**4/114 + 11*j**3/57 + 12*j**2/19 - 4*j + 12. Factor p(g).
-2*(g - 12)*(g + 1)/19
Factor 1 - 27*b**2 - 28/3*b**3 + 10/3*b.
-(b + 3)*(4*b - 1)*(7*b + 1)/3
Suppose 399 = 4*g + 3*g. Factor -12*t**4 + 57 - g + 4*t**5 + 16*t**2.
4*t**2*(t - 2)**2*(t + 1)
Let h = -3 - -17. Suppose -4*m = -h - 14. Let 62*q - q**2 + 0 - 4*q**3 + 8 - m*q**2 - 58*q = 0. Calculate q.
-2, -1, 1
Let y(z) = 6*z**4 + 61*z**3 - 146*z**2 + 112*z. Let g(r) = r**4 + 12*r**3 - 29*r**2 + 22*r. Let b(j) = -11*g(j) + 2*y(j). Find a such that b(a) = 0.
0, 1, 3, 6
Let m(j) = -j**2 - 3*j + 10. Let l be m(-7). Let y = l - -18. Find x such that y + 7*x**3 + x - 11/2*x**2 = 0.
0, 2/7, 1/2
Let k(o) be the third derivative of 0 + 16*o**2 - 1/8*o**4 - 2/35*o**7 + 1/5*o**5 + 0*o + 0*o**3 + 1/40*o**6. Solve k(j) = 0 for j.
-1, 0, 1/4, 1
Factor 22217*r - 72*r**2 + 324 - 22217*r + 4*r**4.
4*(r - 3)**2*(r + 3)**2
Let t(i) be the second derivative of -i**4/27 - 8*i**3/9 + 48*i - 1. Determine y so that t(y) = 0.
-12, 0
Factor 0 - 4/3*f**3 - 3072*f - 128*f**2.
-4*f*(f + 48)**2/3
Suppose 0 = 5*z + f + 3, -3*z + 39*f - 3 = 40*f. Let t(c) be the third derivative of -1/120*c**5 + 3*c**2 + 0*c**3 - 1/240*c**6 + 0*c**4 + 0*c + z. Factor t(i).
-i**2*(i + 1)/2
Let g be ((-795)/200 - -4)*(-4)/(-8). Let a(i) be the third derivative of 0*i + 0 - 3/8*i**3 - g*i**5 + 4*i**2 - 1/8*i**4. Find y such that a(y) = 0.
-3, -1
Let a(m) be the third derivative of -5*m**8/448 + m**7/12 - 13*m**6/48 + m**5/2 - 55*m**4/96 + 5*m**3/12 - 388*m**2. Factor a(k).
-5*(k - 1)**4*(3*k - 2)/4
Suppose 2*l = -2*j - 16, 6*l - 3 = 3*l. Let o(g) = g**3 + 9*g**2 - 2*g - 13. Let u be o(j). What is v in 4*v**4 - u*v**4 - v**4 + 4*v**3 - 2*v**3 - 4*v**5 = 0?
-1, 0, 1/2
Let w be -4 + (-276)/(-63) + (-8)/(-28). Suppose -i**2 - w - 3/2*i - 1/6*i**3 = 0. Calculate i.
-4, -1
Let l = 703021/21 + -33469. Let q = l + -48/7. Find w such that q*w**3 + 4/3*w + 0 + 10/3*w**2 = 0.
-2, -1/2, 0
Let p(u) be the third derivative of -u**5/240 - 19*u**4/96 + 5*u**3/6 + 7*u**2 + 7*u. Suppose p(f) = 0. What is f?
-20, 1
Let h(c) = -8*c**2 - 97*c - 101. Let y(p) = 9*p**2 + 96*p + 103. Let t(s) = -4*h(s) - 3*y(s). Find w, given that t(w) = 0.
-19, -1
Let u be 0 - ((-2)/9 - (-592)/(-9)). Suppose 63 - u = -r. Find a such that 0 + 1/3*a**4 - 1/3*a + 1/3*a**r - 1/3*a**2 = 0.
-1, 0, 1
Let u(n) be the first derivative of 10*n**6/3 + 11*n**5 - 75*n**4/4 - 205*n**3/3 - 65*n**2/2 + 30*n + 46. Determine a so that u(a) = 0.
-3, -1, 1/4, 2
Let z(y) = -4*y - 85. Let p be z(-22). Let l be (p/(-6))/((-15)/10). Suppose 1 + 4*f**2 + 10/3*f + l*f**4 + 2*f**3 = 0. Calculate f.
-3, -1
Factor 32/5*k**2 + 0 + 0*k - 4/5*k**3.
-4*k**2*(k - 8)/5
Let u(y) be the second derivative of -y**5/30 - 2*y**4/27 + 4*y**3/27 - 3*y + 22. Solve u(w) = 0 for w.
-2, 0, 2/3
Let g be (-68)/17 + 16 + -12. Factor g + 242/7*h**4 + 8/7*h + 22*h**3 - 80/7*h**2.
2*h*(h + 1)*(11*h - 2)**2/7
Let f = 5921/9 + -3710/9. Let q = -241 + f. Factor 4/3*h**4 - 16/3*h**2 + 2/3*h**5 - q*h - 4/3 - 4/3*h**3.
2*(h - 2)*(h + 1)**4/3
Let y(w) be the third derivative of -w**5/300 - w**4/10 - 6*w**3/5 + 5*w**2 + 8. Determine p so that y(p) = 0.
-6
Let p(k) = 2*k - 4. Let m be p(10). Factor -s**4 + 24*s**2 + 11 + 16*s + 5*s**4 - 7 + m*s**3.
4*(s + 1)**4
Let h(m) = 315*m**3 - 6600*m**2 + 52005*m - 80005. Let i(u) = u**4 - 314*u**3 + 6600*u**2 - 52004*u + 80004. Let n(c) = -4*h(c) - 5*i(c). Factor n(t).
-5*(t - 20)**3*(t - 2)
Let b = -15 + 3. Let r(h) = h**3 + 12*h**2 - h - 8. Let z be r(b). Factor -q**3 + 4*q**2 - z*q**2 - 3*q**4 + 5*q**5 - q**3.
q**3*(q - 1)*(5*q + 2)
Let u be (-35)/105 + (-49)/(-150). Let g = u - -263/75. Determine v, given that 7/2*v**3 - g*v**5 + 0*v + 0 - v**2 + v**4 = 0.
-1, 0, 2/7, 1
Let n(w) = -2 + 2*w**2 - w**3 - w**2 - 288*w + 289*w + 3. Let o(r) = -4*r**3 - r**2 + 10*r + 5. Let c(u) = 15*n(u) - 3*o(u). Find z, given that c(z) = 0.
0, 1, 5
Suppose -12/5*d**3 + 147/5*d - 7/5*d**5 - 146/5*d**2 - 18/5 + 36/5*d**4 = 0. What is d?
-2, 1/7, 1, 3
Let z(p) be the first derivative of 8*p - 8/3*p**3 + 18 - p**4 + 2*p**2. Factor z(m).
-4*(m - 1)*(m + 1)*(m + 2)
Suppose 31*j - 35*j = 4*y + 8, 6 = -y - 2*j. Let v(s) be the third derivative of 0 + 0*s + 2*s**3 + 13/8*s**4 - 4*s**y - 7/40*s**5. Factor v(a).
-3*(a - 4)*(7*a + 2)/2
Let k = -78 - -100. Let b = -20 + k. Suppose 14/5*w**3 + 6/5*w**2 + 4/5 - b*w**4 - 14/5*w = 0. What is w?
-1, 2/5, 1
Let n = 447 + -446. Let u(a) be the first derivative of -4/5*a + 1/5*a**4 + 2*a**2 + n - 17/15*a**3. Suppose u(o) = 0. What is o?
1/4, 2
Let k(d) = 18*d + 185. Let p be k(-10). Let -1/2*t**2 + 19/2*t**4 - 1/4*t**3 + 0*t + 0 - 35/4*t**p = 0. What is t?
-1/5, 0, 2/7, 1
Let a(i) = -2*i**2 - 50*i - 89. Let q(b) = -6*b**2 - 150*b - 268. Let o(p) = 8*a(p) - 3*q(p). What is h in o(h) = 0?
-23, -2
Let h(z) = 2*z + 17. Let x be h(-9). Let p(b) = -b**3 - b**2 - 1. Let q(r) = 2*r**3 + 8*r + 20. Let v(j) = x*q(j) - 4*p(j). Determine t, given that v(t) = 0.
-2, 2
Let w = -49231/8 + 6154. Solve 1/4*f**2 + 3/8*f - w*f**3 + 0 = 0.
-1, 0, 3
Let n(j) be the second derivative of j**7/840 - j**5/40 + j**4/12 + 31*j**3/6 - 47*j. Let x(i) be the second derivative of n(i). What is p in x(p) = 0?
-2, 1
Let q be (-36)/234 + 40/26*4. Factor -68*u - 68*u**2 + 4*u - q*u**3 - 14*u**3 - 16.
-4*(u + 1)*(u + 2)*(5*u + 2)
Solve 9/2*n**2 + 3/2*n**5 - 1/2*n**4 + 2*n - 11/2*n**3 - 2 = 0 for n.
-2, -2/3, 1
Suppose -7*z = 2 - 37. Let v(x) = x**3 - 6*x**2 + 8*x - 13. Let g be v(z). Factor -2/3*m**4 + 0*m**3 + 0*m + 0 + 2/3*m**g.
-2*m**2*(m - 1)*(m + 1)/3
Let k be 3*6/(-9) + -3. Let n = -3 - k. Suppose 4*x**2 + 3*x**2 + 2 - 5*x**2 - 4*x**n = 0. Calculate x.
-1, 1
Suppose 83 = -5*a + 258. Suppose 2*m - a = -3*m. Solve 0*b - 5 - 4*b + b + b**2 + m = 0.
1, 2
Factor -19/4 + 11/2*t**3 - 1/4*t**4 - 15*t**2 + 29/2*t.
-(t - 19)*(t - 1)**3/4
Let j(t) = t**3 - 10*t**2 + 1. Let r be j(10). Let a be r*-1 - (11 - 18). Solve -6*f**4 - 63*f**2 - a*f**4 + 92*f - 24 - 41*f**2 + 68*f**3 - 20*f**2 = 0.
2/3, 1, 3
What is n in -2*n**5 + 0*n + 0 + 1/3*n**3 - 22/3*n**2 + 17/3*n**4 = 0?
-1, 0, 11/6, 2
Let g(c) be the third derivative of 0*c**5 + 0*c**6 - 1/840*c**8 + 0*c**3 + 0*c**4 - 5 - 4/525*c**7 + 0*c - 5*c**2. Solve g(o) = 0 for o.
-4, 0
Let 4*x + 1/6*x**3 + 8/3 + 3/2*x**2 = 0. Calculate x.
-4, -1
Determine v, given that -700*v + 24500 + 33*v**2 + 39*v**2 - 114*v**2 + 47*v**2 = 0.
70
Let i(q) = -q**4 + q**2 + 2*q - 2. Let a(h) = -12*h**3 + 22*h**2 - 8*h - 2. Let k(w) = 2*a(w) - 2*i(w). Determine d, given that k(d) = 0.
0, 1, 10
Factor 2*v**3 + 501*v**2 - 12*v**3 - 259*v**2 + 90*v - 248*v**2 + 54.
-2*(v - 3)*(v + 3)*(5*v + 3)