Let c(p) = -p**3 + 17*p + 8. Let w(z) = -2*c(z) + 4*k(z). Suppose w(i) = 0. What is i?
-1, 10
Let w(r) = r**2 - 29*r - 8. Let x be w(29). Let s be (-11)/x + (-24)/48. Solve 0*p - 1/4*p**2 + 0 - s*p**3 = 0.
-2/7, 0
Let r(w) be the third derivative of -5*w**8/84 - 2*w**7/105 + 7*w**6/6 + 37*w**5/15 + w**4 + w**2 + 40*w. Let r(s) = 0. Calculate s.
-2, -1, -1/5, 0, 3
Suppose 27*h + 16 = 70. Suppose -4/3*q + 6*q**3 - 2*q**5 + 0 - 2/3*q**4 - 2*q**h = 0. What is q?
-2, -1/3, 0, 1
Let i(l) be the second derivative of 4*l**7/315 + 29*l**6/225 + 59*l**5/150 + l**4/90 - 5*l**3/3 - 6*l**2/5 + l + 30. Suppose i(q) = 0. What is q?
-3, -2, -1/4, 1
Let m(s) be the first derivative of 2*s**5/35 - 13*s**4/14 - 2*s**3/21 + 13*s**2/7 + 21. Factor m(b).
2*b*(b - 13)*(b - 1)*(b + 1)/7
Suppose 2*b + 4*r = 16, -2*b + 23*r + 4 = 24*r. Let b*q + 1/2 - 1/2*q**2 = 0. What is q?
-1, 1
Suppose -11*o + 115 = 12*o. Let i = -9 - -12. Suppose -4/7*p**4 + 8/7*p**2 - 4/7 - 2/7*p + 4/7*p**i - 2/7*p**o = 0. Calculate p.
-2, -1, 1
Let d be (-4)/(-18) - (0 + (-75)/27). Factor -d*f**4 + 0 + 6*f**4 + 0.
3*f**4
Let k be 8*8/(-288) - 82/(-207). Factor 0 - 2/23*w**2 + k*w - 2/23*w**3.
-2*w*(w - 1)*(w + 2)/23
Factor 21/8*u**2 + 15/8 + 3/8*u**3 + 33/8*u.
3*(u + 1)**2*(u + 5)/8
Let i(c) = 3*c**2 - 2*c - 11. Let r(t) = -10*t**2 + 3*t + 34. Let g(v) = 14*i(v) + 4*r(v). Factor g(b).
2*(b - 9)*(b + 1)
Let o(f) be the second derivative of f**5/240 - f**4/24 + f**3/6 + 10*f**2 + 16*f. Let r(a) be the first derivative of o(a). Find y such that r(y) = 0.
2
Let d(z) = 8*z + 2*z**2 + 0*z**2 + z**2 - 7*z. Let b be d(-1). Factor 0*p - 2/11*p**b + 2/11.
-2*(p - 1)*(p + 1)/11
Let y = 133/10 + -273/20. Let g = y + 181/60. Factor -10/3*n + 4/3 - 2/3*n**3 + g*n**2.
-2*(n - 2)*(n - 1)**2/3
Suppose 4*i - 5*s = 8*i - 19, -3*i = 5*s - 13. Let j(q) be the third derivative of i*q**2 + 1/42*q**4 - 1/210*q**5 + 0*q + 0*q**3 + 0. Factor j(x).
-2*x*(x - 2)/7
Let f(u) be the second derivative of -u**7/420 + u**6/120 + u**5/120 - u**4/24 + 8*u**2 + 10*u. Let v(r) be the first derivative of f(r). Factor v(b).
-b*(b - 2)*(b - 1)*(b + 1)/2
What is s in 1/3*s**4 + 4/9*s**3 + 1/9*s**2 + 0 + 0*s = 0?
-1, -1/3, 0
Let w be ((-783)/(-405))/((-142)/(-132)). Let k = -14/71 + w. Factor -2*b**2 + 0 + k*b**3 + 2/5*b.
2*b*(b - 1)*(4*b - 1)/5
Let n**2 - 5*n + 22*n - 63*n + 529 = 0. Calculate n.
23
Let u = -4573/9 + 509. Suppose 0 + 2/9*o + 2/3*o**5 + 4/9*o**4 - u*o**3 - 4/9*o**2 = 0. Calculate o.
-1, 0, 1/3, 1
Let b = 214 + -212. Determine y, given that 10*y**b + 13/2*y + 1 = 0.
-2/5, -1/4
Let b(i) be the third derivative of -2*i**7/105 + 112*i**6/15 - 6272*i**5/5 + 351232*i**4/3 - 19668992*i**3/3 + 151*i**2. Solve b(x) = 0 for x.
56
Let x(n) be the second derivative of n**7/378 - n**6/90 - 23*n**5/180 - 11*n**4/36 - 7*n**3/27 + 272*n. Let x(d) = 0. What is d?
-2, -1, 0, 7
Let c(w) be the third derivative of -w**11/554400 + w**10/126000 - 11*w**5/60 + 19*w**2. Let l(z) be the third derivative of c(z). Find u, given that l(u) = 0.
0, 2
Let n(f) be the third derivative of -13/12*f**5 + 5/2*f**4 - 2*f**2 + 1/4*f**6 + 0 + 0*f - 1/42*f**7 - 10/3*f**3. Factor n(s).
-5*(s - 2)**2*(s - 1)**2
Let u(q) be the third derivative of -1/570*q**5 + 0*q**4 + 0 + 0*q + 0*q**3 - 12*q**2. Factor u(j).
-2*j**2/19
Let m = 1389/994 + -84/71. Let q(g) be the first derivative of -2/7*g**3 - 3 - 2/35*g**5 + 1/7*g**2 + m*g**4 + 0*g. Find f such that q(f) = 0.
0, 1
Factor -20*i**3 - 260/3*i**2 - 5/3*i**4 - 320/3 - 160*i.
-5*(i + 2)**2*(i + 4)**2/3
Suppose 3*r = -4*s - 7, s - 18 = -3*s + 2*r. Suppose -15*g - g**s + 11*g + 6*g - g**3 = 0. Calculate g.
-2, 0, 1
Let b(i) be the first derivative of -i**4/30 - 2*i**3/15 + i**2/15 + 2*i/5 + 603. What is x in b(x) = 0?
-3, -1, 1
Let n be 0/(14 - (-156)/(-12)). What is v in n*v**2 + 1/2*v**3 - 1 - 3/2*v = 0?
-1, 2
Let p be (-3)/9*6/20. Let g = p - -4/15. Factor g*d + 0*d**2 + 0 - 1/6*d**3.
-d*(d - 1)*(d + 1)/6
Let l(f) be the first derivative of 3*f**4/2 - 50*f**3/3 + 29*f**2 - 14*f - 156. Find z, given that l(z) = 0.
1/3, 1, 7
Let f(i) = -32*i + 324. Let g be f(10). Let t(v) be the first derivative of -3 + 0*v - 1/36*v**6 + 0*v**3 + 0*v**2 - 1/24*v**g + 1/15*v**5. Factor t(n).
-n**3*(n - 1)**2/6
Determine d so that -1/5*d**2 - 324/5 - 36/5*d = 0.
-18
Let g(o) be the third derivative of -o**5/210 - 2*o**4/7 - 44*o**3/21 - 3*o**2 - 4*o. Factor g(b).
-2*(b + 2)*(b + 22)/7
Let z(p) be the first derivative of -p**7/21 - p**6/5 - p**5/5 + 3*p - 2. Let r(g) be the first derivative of z(g). Find h such that r(h) = 0.
-2, -1, 0
Let h = -109 + 247. Suppose 2*u = -2*m + 5*u + 283, -m - 2*u = -h. Factor 24*c**3 + 108*c**2 - 3*c**4 + m + 66 + 216*c - 44 + 5*c**4.
2*(c + 3)**4
Let w(a) = a**2 + 125*a + 3. Let n(o) = 2*o**2 + 1. Let q(c) = -3*n(c) + w(c). Suppose q(r) = 0. What is r?
0, 25
Suppose 0 = 5*p + f - 12, 3*f - 15 = -2*p + 6*f. Let o be 4/(-6) + 1758/18. Let -97 - 2*r**p + o = 0. What is r?
0
Let i = 155/594 - 28/297. Determine x, given that 1 + 5/6*x - i*x**3 - 1/3*x**2 = 0.
-3, -1, 2
Let b(i) be the second derivative of 7*i**4/12 + 5*i**3/6 - i**2 - 28*i. Let b(d) = 0. What is d?
-1, 2/7
Let b(t) be the first derivative of -1/3*t**3 - 3 + 2*t + 1/2*t**2. Factor b(y).
-(y - 2)*(y + 1)
Let t = -47 + 51. Let -48*w**t + 2*w - 4*w**3 - 2*w**3 + 44*w**4 = 0. What is w?
-1, 0, 1/2
Let b(p) = -p**2 - 24*p + 15. Let w be b(-24). Factor -5 + w - 4 + 0*u - 3*u**2 - 3*u.
-3*(u - 1)*(u + 2)
Let m(w) be the second derivative of -w**4/21 - 4*w**3/21 + 16*w**2/7 + 78*w. Let m(o) = 0. What is o?
-4, 2
Let t(y) be the first derivative of -y**4/22 - 8*y**3/11 - 48*y**2/11 - 128*y/11 + 50. Factor t(p).
-2*(p + 4)**3/11
Let h be (176/(-56) - -3)*(-49)/14. Factor p**3 + 0*p + h*p**4 + 0 + 0*p**2.
p**3*(p + 2)/2
Let a be -38 + 43 - 3/((-3)/(-2)). Factor 1/3*o + 1/3 - 1/3*o**2 - 1/3*o**a.
-(o - 1)*(o + 1)**2/3
Let n(k) = k**2 + k + 4. Let w = 26 - 30. Let z be n(w). Determine j, given that 6*j**3 - z*j**2 - 5*j - 8*j + 4 + 19*j = 0.
-1/3, 1, 2
Let o(k) be the first derivative of -k**4 + 226*k**3/7 - 10*k**2 - 96*k/7 + 21. Suppose o(t) = 0. Calculate t.
-2/7, 1/2, 24
Let l(q) be the third derivative of -q**6/160 + 7*q**5/80 - 7*q**4/16 + q**3 - 194*q**2. Determine c so that l(c) = 0.
1, 2, 4
Let k(v) be the second derivative of -v**5/60 - 7*v**4/12 - 49*v**3/6 - 21*v**2/2 + 19*v. Let m(y) be the first derivative of k(y). Solve m(u) = 0.
-7
Let m(i) be the second derivative of i**5/100 - i**4/60 - i**3/6 - 3*i**2/10 - 3*i - 34. Suppose m(w) = 0. Calculate w.
-1, 3
Solve 4*q**5 - 1 - 40*q**3 - 50*q**4 + 5*q**4 - 9*q**5 + 1 = 0 for q.
-8, -1, 0
Suppose 5*z + 3 = -7. Let c be (-42)/(-28)*z/(-3). Suppose 1 + 2*p**2 - c - 6*p + 0*p + 4 = 0. Calculate p.
1, 2
Let u(h) be the first derivative of 12 + 1/2*h - 3/8*h**2 - 5/12*h**3. Factor u(t).
-(t + 1)*(5*t - 2)/4
Suppose 38*y - 10*y - 28 = 0. Let b(r) = -r**2 + r. Let q(g) = -7*g + 10*g**2 + 18*g**2 - 5*g + 8. Let c(z) = y*q(z) + 24*b(z). Determine k so that c(k) = 0.
-2, -1
Factor -1/3*d**3 - 8/3*d**2 - 4 - 19/3*d.
-(d + 1)*(d + 3)*(d + 4)/3
Suppose 106*v = -350 + 562. Let t be 8/5*2/8. Suppose t*f**3 + 0*f + 8/5 - 6/5*f**v = 0. Calculate f.
-1, 2
Factor -5*x**3 + 13*x - 6*x**2 + 47*x - 10*x + 13*x**2 + 8*x**2.
-5*x*(x - 5)*(x + 2)
Solve -1/3*k**2 + 19/3*k + 14 = 0.
-2, 21
Determine l, given that 26/15*l - 8/5 - 2/15*l**2 = 0.
1, 12
Let c(u) be the second derivative of u**6/165 - u**5/110 - 13*u**4/66 + 25*u**3/33 - 12*u**2/11 + 251*u. Determine x so that c(x) = 0.
-4, 1, 3
Factor -3526 - 4*n**2 - 3551 + 7125 - 16*n.
-4*(n - 2)*(n + 6)
Let i(a) be the first derivative of a**4/8 - 113*a**3/6 + 812*a**2 - 1568*a + 39. Suppose i(n) = 0. What is n?
1, 56
Let b(y) be the third derivative of -y**7/840 - y**6/240 + y**5/48 + y**4/16 + 12*y**2 + 2*y. Factor b(g).
-g*(g - 2)*(g + 1)*(g + 3)/4
Let p(r) be the second derivative of -1/15*r**6 + 1/20*r**5 + 14*r + 0*r**2 + 0*r**3 - 1/42*r**7 + 0 + 1/6*r**4. Factor p(h).
-h**2*(h - 1)*(h + 1)*(h + 2)
Let m be -1 + 2 + 4/4. Factor 24*i**m - 16*i**2 - 48*i - 4*i**4 + 4 + 28 + 12*i**3.
-4*(i - 2)**2*(i - 1)*(i + 2)
Let x = -1053/10 + 213/2. Factor -x*l + 0 - 4/5*l**2 + 2/5*l**3.
2*l*(l - 3)*(l + 1)/5
Let m(n) = -2*n**2 + 6*n + 22. Let a be m(5). Let c(o) be the thir