te p.
-2, 3
Solve 0 + 1/6*r**3 + 1/3*r**2 + 1/6*r = 0 for r.
-1, 0
Let i(o) be the second derivative of -o**5/14 - 8*o**4/7 + 20*o**3/21 - 39*o - 2. Suppose i(u) = 0. Calculate u.
-10, 0, 2/5
Let r be (-21)/14*(-4)/2. Suppose 2*q + 15 = 3*j - r, 0 = 4*q. Factor -j + 4*i**2 - 7 + 1 - i**2.
3*(i - 2)*(i + 2)
Suppose 4 + 1/3*y**3 - 5/3*y**2 - 8/3*y = 0. What is y?
-2, 1, 6
Factor 17*g**2 - 11*g**2 - 93*g - 131*g - 4*g**2 + 6272.
2*(g - 56)**2
Suppose 5 + 7 = 20*x - 16*x. Factor -o**x - 30*o - 18 + 23/2*o**2.
-(o - 6)**2*(2*o + 1)/2
Suppose 6 = 3*d - 2*o, -2*o = 3*d - d - 4. Factor -3*j**3 - 64*j**2 - 12 + 0 + 21*j + 58*j**d.
-3*(j - 1)**2*(j + 4)
Let x(u) = 12*u**3 - 6*u**2 + 22*u. Let b(n) = -n**3 - n. Let z(d) = 28*b(d) + 2*x(d). Solve z(h) = 0 for h.
-4, 0, 1
Let s(c) = c**3 + 6*c**2 + 7*c + 2. Let t be s(-2). Let u(i) be the first derivative of t*i + 5 + 8/3*i**2 + 4/9*i**3. Let u(n) = 0. Calculate n.
-3, -1
Let p(m) be the first derivative of m**9/2268 - m**8/420 + 2*m**6/135 - m**3 - 35. Let b(g) be the third derivative of p(g). Suppose b(i) = 0. Calculate i.
-1, 0, 2
Suppose 0 = 6*t - t - 4*y - 21, -5*t - 4*y + 29 = 0. Let h(a) be the third derivative of 0*a + 0 - 2*a**2 + 1/36*a**4 + 1/180*a**t + 0*a**3. Factor h(l).
l*(l + 2)/3
Factor -3483 - 447*j - 573*j - 4640 + 2921 - 50*j**2.
-2*(5*j + 51)**2
Let s(n) be the first derivative of -3/28*n**4 + 1/7*n**3 - 1/14*n**2 + 0*n + 14 + 1/35*n**5. Let s(f) = 0. Calculate f.
0, 1
Let n(i) = -i**3 + 6*i**2 - 7*i + 4. Let r be n(2). Find m such that -4 - 2*m**4 + 4*m**4 + 6*m - 29*m**2 - r*m**3 + 31*m**2 = 0.
-1, 1, 2
Let g be ((-12)/(-9))/((-5)/(-15)). Suppose -3*b - 4*a = -21, 2*b + 9 = b + g*a. Solve 0*u**b - 6/7*u**2 + 2/7*u**4 + 4/7*u + 0 = 0.
-2, 0, 1
Let -3*m - m**4 - 24 - 10*m**3 + 10*m**2 - 7*m**3 - m + 18*m**3 = 0. What is m?
-2, 2, 3
Let q(l) be the second derivative of l**5/330 + l**4/44 - 4*l**3/33 + 7*l**2/2 + 30*l. Let v(w) be the first derivative of q(w). Factor v(b).
2*(b - 1)*(b + 4)/11
Suppose -2052 = -9*v + 5751. Solve 4913/2*x**3 + 4 + v*x**2 + 102*x = 0.
-2/17
Factor -815*m**5 + m**2 - 36*m**4 - 5*m**2 - 34*m**3 + 4*m**2 + 813*m**5.
-2*m**3*(m + 1)*(m + 17)
Determine n, given that -3/4*n**3 - 9 + 1/4*n**4 - 77/4*n - 45/4*n**2 = 0.
-4, -1, 9
Let y(d) be the second derivative of -5*d**4/48 + 5*d**2/2 + 74*d - 1. Factor y(j).
-5*(j - 2)*(j + 2)/4
Let k = 516/67 - 1106/335. Solve 4/5 + 18/5*r - k*r**2 = 0.
-2/11, 1
Suppose -3 + 4 = -5*h - 4*d, 2*h + 5*d + 14 = 0. What is t in 128/3*t**2 + 32/3*t**4 - 32*t**h - 64/3*t + 0 - 4/3*t**5 = 0?
0, 2
Let h(q) be the first derivative of q**6/540 + q**5/60 - q**4/9 - q**3/3 - 15. Let z(f) be the third derivative of h(f). Factor z(m).
2*(m - 1)*(m + 4)/3
Let a(c) = 3*c**2 - 2. Let y be a(-2). Factor 35*w**2 - 45*w**3 + 10*w + 17 + y - 27.
-5*w*(w - 1)*(9*w + 2)
Factor 74*v - 20 + 7*v**2 - v**2 + 44*v - 38*v**3 + 0*v - 2*v**4 + 96.
-2*(v - 2)*(v + 1)**2*(v + 19)
Suppose -4*u - 3*k = -12, -5*u + 4*k + 11 = -4. Suppose 0 = 2*d + 2*t, -d + 0*t = 2*t + 2. Let 1 - r**d - 22*r**3 + 23*r**u + 0 - r = 0. What is r?
-1, 1
Suppose -5*h + 13 = 3*l, 45*h + l = 50*h - 9. Let j(t) = t**2 + t + 1. Let x be j(-2). Find a, given that -4*a**h - 6*a + 10*a**2 + 3 - x*a**2 = 0.
1
Let n(w) = -w**2. Let g(d) = -d. Let z = 84 - 87. Let j(h) = z*n(h) - 21*g(h). Factor j(y).
3*y*(y + 7)
Factor 55*d**2 + 24*d + 3*d**3 + 33*d**2 - 115*d**2.
3*d*(d - 8)*(d - 1)
Let v be (-1368)/(-1782) + (-6)/11. Let j(t) be the first derivative of 0*t**2 + v*t**3 + 4 + 0*t + 2/5*t**5 + 1/2*t**4 + 1/9*t**6. Factor j(u).
2*u**2*(u + 1)**3/3
Let z(p) be the second derivative of p**6/165 + p**5/55 - p**4/22 - 4*p**3/33 + 4*p**2/11 - 19*p + 7. Factor z(k).
2*(k - 1)**2*(k + 2)**2/11
Let v(b) = -b**2 + 9*b + 20. Let a be v(17). Let r = a - -118. Factor 4/15*u**r + 4/15 - 2/3*u.
2*(u - 2)*(2*u - 1)/15
Let g(f) be the third derivative of -f**4/24 - 12*f**2. Let x(z) = 4*z**2 - 52*z + 196. Let l(b) = -4*g(b) - x(b). Let l(h) = 0. What is h?
7
Let d(k) be the third derivative of -k**6/30 + 2*k**5/5 - 5*k**4/6 - 2*k**2 - 193. Factor d(n).
-4*n*(n - 5)*(n - 1)
Let k(n) = 5*n**3 - 19*n**2 - n - 5. Let i(c) = 2*c**3 - c - 27 - 4*c**2 - 6*c**2 + 24. Let a(f) = 5*i(f) - 3*k(f). Find m, given that a(m) = 0.
0, 2/5, 1
Solve -365*x + 88*x + 148*x**2 - 4*x**3 + 528 - 133*x - 52*x - 82*x = 0.
2, 33
Let 44 - 46*n - 4*n**4 - 14 - 9*n + 15*n**3 + 15*n**2 - n**4 = 0. Calculate n.
-2, 1, 3
Suppose -140*n + 891*n**2 + 111 + 1095*n**3 - 84*n**5 - 80 - 67 - 7*n + 9*n**4 = 0. What is n?
-3, -1, -1/7, 1/4, 4
Let l(c) = 6*c**3 - 4*c**2 + 6*c - 9. Let m be l(5). Suppose m*w**5 - 666*w**5 + 20*w**2 + 20*w**4 + 5*w - w**3 + 31*w**3 = 0. Calculate w.
-1, 0
Let a be (-4167)/(-6482) - 1/7. Factor -13/8*v**3 - a*v**2 + 0 + 0*v - 3/8*v**4.
-v**2*(v + 4)*(3*v + 1)/8
Suppose -8 = -5*j + 3*x, 3*j = -0*x - 5*x + 32. Suppose -s + c = 4*s - 6, c = j. Determine p so that -4/11 + 2/11*p**s + 2/11*p = 0.
-2, 1
Let i(v) be the first derivative of v**6/480 + v**5/48 + 7*v**4/96 + v**3/8 - 2*v**2 + 12. Let d(r) be the second derivative of i(r). Factor d(c).
(c + 1)**2*(c + 3)/4
Let y be (22/77)/(32/28). Factor 0*g + 0 - y*g**3 + 1/4*g**2.
-g**2*(g - 1)/4
Let a(j) = -j**2 - 12*j - 12. Let p be a(-9). Let d be ((-12)/p)/(4/(-10)). Find b such that -84*b + 81 + 3*b + 27*b**d + 0*b**3 - 3*b**3 = 0.
3
Suppose 1254 - 3*w + 12*w**2 + w**3 - 1266 + 2*w**3 = 0. What is w?
-4, -1, 1
Let z(r) = -r - 3. Let g be z(-5). Suppose -g*s = 3*n - 9, 4*n + s = 2*s + 12. Determine y, given that 3 + 1 + n*y**2 - y**2 - 6*y + 0*y**2 = 0.
1, 2
Factor 76*w**2 + w**3 - 5*w**2 - 225*w + 113 + 40*w**2.
(w - 1)**2*(w + 113)
Let c(a) be the first derivative of -75/2*a - 1/2*a**3 - 15 + 15/2*a**2. Factor c(o).
-3*(o - 5)**2/2
Find k, given that 60*k - 18 + 0 - 80*k - 7 + 3*k**2 + 2*k**2 = 0.
-1, 5
Let f(t) be the third derivative of 2*t**3 + 0*t - 7/20*t**5 + 1/8*t**6 - t**4 + 0 + 5*t**2. Find w, given that f(w) = 0.
-1, 2/5, 2
Let g be ((-20)/(-12) + -2)/(1/(-9)). Factor k + g*k + 12*k**3 - 4*k**4 + 12*k**2 - 39*k**2 + 15*k**2.
-4*k*(k - 1)**3
Let n(h) be the second derivative of 1/168*h**7 + 0 - 1/20*h**5 + 1/6*h**4 + 0*h**2 - 28*h + 0*h**3 - 1/60*h**6. Factor n(g).
g**2*(g - 2)**2*(g + 2)/4
Suppose -7*k - 14 = 3*i - 2*k, 3*i - 4*k = 22. Suppose 3 - 2*y + 1/3*y**i = 0. What is y?
3
Let j = -8 + 24. Suppose 0 = -5*y - 8*h + 3*h, -3*h = -5*y + j. Let -1/4*r - 1/2 + 1/2*r**y + 1/4*r**3 = 0. Calculate r.
-2, -1, 1
Let i(g) be the third derivative of g**6/20 + g**5/5 + 3*g**4/8 + 12*g**2. Let h(v) = -5*v**3 - 12*v**2 - 10*v. Let n(o) = -3*h(o) - 2*i(o). Factor n(f).
3*f*(f + 2)**2
Let p(n) be the second derivative of -n**5/5 - 4*n**4 - 58*n**3/3 - 36*n**2 + 94*n - 1. Solve p(x) = 0.
-9, -2, -1
Let a(q) = q**3 + q**2 + 2*q + 1. Let m be a(-1). Let w be (15/(-20))/(m/4). Let w*f + 0*f**2 + 3 + 2*f**2 - 12*f + 4*f**2 = 0. What is f?
1/2, 1
Let f = -32 + 49. Suppose -6 = 3*m + 4*a, -f = -5*m + m + 3*a. Factor 0 + 2*o + 1/2*o**3 + m*o**2.
o*(o + 2)**2/2
Suppose -n - 29 = -5*z, -9*n + 4*n - 15 = z. Let q(b) be the second derivative of -4*b - 1/18*b**4 + 0*b**2 + 1/60*b**z + 1/18*b**3 + 0. Factor q(k).
k*(k - 1)**2/3
Suppose -2*i + 1 - 19 = 0. Let x = 19 + i. Find c such that -6*c - 10*c**3 + 2*c + 2*c**4 + 2*c**3 + x*c**2 = 0.
0, 1, 2
Factor 0*b + 0*b**3 - 2/5*b**5 + 0*b**2 + 0 + 8/5*b**4.
-2*b**4*(b - 4)/5
Let u(s) = -s**3 + 64*s**2 - 450*s + 114. Let i be u(56). Let -2/11*x**3 - 2/11*x + 4/11*x**i + 0 = 0. Calculate x.
0, 1
Let p(q) be the second derivative of 0 + 1/20*q**5 + 4/3*q**3 + 5/12*q**4 + 2*q**2 - 11*q. Factor p(a).
(a + 1)*(a + 2)**2
Suppose -2*k = -4*u - 34, k - 3*u + 1 = 22. Let q be (-10)/(-45) + (-2)/k. Factor 4/5*t**4 + q + 4/5*t - 4/5*t**3 - 4/5*t**2.
4*t*(t - 1)**2*(t + 1)/5
Let a(z) be the second derivative of 23*z**5/20 - 58*z**4/3 + 595*z**3/6 - 25*z**2 - 10*z. Determine y so that a(y) = 0.
2/23, 5
Let v(u) be the second derivative of u**7/42 + 19*u**6/30 + 39*u**5/10 - 35*u**4/3 - 100*u**3/3 - 570*u. Find b such that v(b) = 0.
-10, -1, 0, 2
Let o be 140/56*(12/5 + -2). Let m be ((-416)/(-64))/(o/1). Solve m*f**2 + 2*f - 2 + 5/2*f**3 = 0.
-2, -1, 2/5
Find n, given that -2*n - 2/3*n**2 - 4/3 = 0.
-2, -1
Determine u so that -1/2*u**5 - 71/6*u**2 + 14/