*j**2 + 13*j - 13. Let z(v) = 6*p(v) + 13*w(v). Factor z(g).
-5*g**2*(g + 1)*(10*g - 1)
Let w be 8*(-3)/(-120)*10. Let p(l) be the first derivative of -1/9*l**w + 1/18*l**4 + 0*l**3 + 9 + 0*l. Determine u, given that p(u) = 0.
-1, 0, 1
Factor 1 + 25/4*r**2 + 4*r + 7/4*r**4 + 19/4*r**3 + 1/4*r**5.
(r + 1)**3*(r + 2)**2/4
Factor -12*j**3 + 15*j**4 - 1417*j + 14*j**5 - 17*j**5 - 6*j**3 + 1441*j - 12*j**2.
-3*j*(j - 2)**3*(j + 1)
Let q be ((-576)/63)/(-8) - 18/(-21). Let 0*o - 2 + 1/2*o**q = 0. What is o?
-2, 2
Suppose -5*h + 12 = -8. Suppose 3*t = 4*p + 14, 0 = 4*t - h*p - 8 - 8. Factor 32*y**t - 4 + 4*y + 18*y - 6*y**2.
2*(y + 1)*(13*y - 2)
Let b(g) be the second derivative of -g**5/10 + g**3 + 2*g**2 + 325*g. Find d such that b(d) = 0.
-1, 2
Suppose 44 = -h + 12*h. Let f be -2 + -3 + (-22)/(-4). Factor 0 - 1/2*o**h + 3/2*o**3 - 3/2*o**2 + f*o.
-o*(o - 1)**3/2
Let y(a) be the second derivative of -a**7/1680 - a**6/120 - a**5/20 - 5*a**4/12 + 4*a. Let h(j) be the third derivative of y(j). Factor h(u).
-3*(u + 2)**2/2
Let p = 93 - 51. Factor 12*q + 34 - 4*q**2 + 0*q**2 - p.
-4*(q - 2)*(q - 1)
Let r be (-3 - -2)/(35/(-10) + 3). Let z be (0*3/(-15))/r. Solve -2/3*m**3 + z - 2/3*m - 4/3*m**2 = 0.
-1, 0
Determine t so that -1/2*t**2 - 11/2*t + 0 = 0.
-11, 0
Let q(y) be the first derivative of -4*y**3/5 + 158*y**2/5 + 216*y/5 - 56. Factor q(h).
-4*(h - 27)*(3*h + 2)/5
Let l = 1227/236 + 3/59. Let g = -55/12 + l. Find j such that -1 + 1/3*j**2 - g*j = 0.
-1, 3
Let s(t) be the second derivative of -t**8/420 + t**7/315 - t**6/720 + t**4/4 - 10*t. Let n(j) be the third derivative of s(j). Factor n(g).
-g*(4*g - 1)**2
Suppose 11 - 11 = 12*f. Let r be f - 4/(-60)*3. Factor 0*s - s**3 + r*s**2 + 0 - 6/5*s**4.
-s**2*(s + 1)*(6*s - 1)/5
Let t(s) be the third derivative of s**5/30 - 19*s**4/3 + 1444*s**3/3 + 2*s**2 - 42. Let t(k) = 0. Calculate k.
38
Let n = -1 - -4. Suppose -11*b + 17*b - 12 = 0. Solve 0*z**b - 2*z**2 + n*z + z**2 = 0 for z.
0, 3
Let g(q) be the second derivative of q**8/3920 + q**7/980 + q**6/840 + 8*q**3/3 + 43*q. Let p(i) be the second derivative of g(i). Find h such that p(h) = 0.
-1, 0
Let z(f) be the third derivative of 5*f**8/168 - 17*f**7/105 + f**6/20 + 3*f**5/10 - 142*f**2. Find g, given that z(g) = 0.
-3/5, 0, 1, 3
Let l(h) be the second derivative of h**4/8 - h**3/2 - 60*h. Suppose l(k) = 0. Calculate k.
0, 2
Let i(c) be the third derivative of 0 - c + 31*c**2 + 1/14*c**4 - 1/210*c**5 - 3/7*c**3. Solve i(q) = 0.
3
Let n = 81 - 115. Let f(t) = 2*t**2 - 3*t + 4. Let m(o) = 12*o**2 - 19*o + 24. Let p(d) = n*f(d) + 6*m(d). Let p(x) = 0. Calculate x.
1, 2
Let v(f) = -1 + 6 - 3 - f + 8. Let a be v(7). Factor -6*h**3 + 3*h**a + 2*h**5 + 15*h**3 - 8*h**4 - 8*h**2 + 2*h.
2*h*(h - 1)**4
Let c(n) be the first derivative of 2*n**3/33 - 74*n**2/11 + 2738*n/11 + 197. Factor c(u).
2*(u - 37)**2/11
Let r(h) = -217*h**2 + 345*h - 71. Let f(p) = 73*p**2 - 115*p + 24. Let l(i) = -19*f(i) - 6*r(i). Let l(y) = 0. What is y?
6/17, 1
Let g = 124 - 124. Suppose g = 6*j + 10 - 34. Find d, given that -1/5*d**2 + 0 + 1/5*d**3 - 1/5*d + 1/5*d**j = 0.
-1, 0, 1
Suppose -1 = -p, 5*r + p + 1 = 12. Let a be -1 - r*3/(-2). Let 3/2 - 15/8*j**3 - 3/8*j**4 + 3/8*j**5 + 3/8*j**a + 3*j = 0. Calculate j.
-1, 2
Suppose -5*j + 0 = -10. Suppose 0 = n + 5*w - 12, -j*n = -5*n + 3*w. What is t in 4*t**2 + 14*t**2 - 20*t**2 + n + 0 = 0?
-1, 1
Let d(q) = 0*q**2 - 6 + q**2 + 6*q + 14. Let c be d(-4). Let 10*g + c*g**3 + 0*g**3 - 8*g - 2*g**3 = 0. What is g?
-1, 0, 1
Let g = 137 + -132. Let u(b) be the third derivative of 0 + 0*b**3 + 0*b + g*b**2 - 7/240*b**6 + 3/40*b**5 - 1/24*b**4. Factor u(p).
-p*(p - 1)*(7*p - 2)/2
Let a(n) be the second derivative of n**6/15 - 11*n**4/6 + 6*n**3 - 8*n**2 - 173*n. Factor a(g).
2*(g - 2)*(g - 1)**2*(g + 4)
Factor 111*z**2 + 4*z**2 + 100*z - 28 + 0 - 5 + 18.
5*(z + 1)*(23*z - 3)
Let u(i) = -3*i**4 + 78*i**3 + 57*i**2 - 288*i + 180. Let z(j) = j**4 - 31*j**3 - 23*j**2 + 115*j - 72. Let w(b) = 5*u(b) + 12*z(b). Factor w(f).
-3*(f - 6)*(f - 1)**2*(f + 2)
Let n be (2 - 136/72)/(5 + (-36)/8). Factor -2/9*l**2 + 4/3 - n*l.
-2*(l - 2)*(l + 3)/9
Let c(h) be the first derivative of h**6/2 - 21*h**5/5 + 9*h**4/2 + 52*h**3 - 204*h**2 + 288*h + 219. Factor c(s).
3*(s - 4)*(s - 2)**3*(s + 3)
Let z(q) be the first derivative of q**4/10 + 24*q**3/5 + 432*q**2/5 + 3456*q/5 + 124. Find c such that z(c) = 0.
-12
Let t(x) be the third derivative of 2*x**5/45 - x**4/36 + 5*x**2 + 11*x. Factor t(k).
2*k*(4*k - 1)/3
Let j(u) be the second derivative of -6*u**7/7 - 13*u**6/10 + u**4/4 + 36*u. Find b, given that j(b) = 0.
-1, -1/3, 0, 1/4
Let l be 16/32 + 6/4. What is g in g**2 - 3 + 7 + g**l + 14 - 20*g = 0?
1, 9
Suppose -3/2*v**4 + 0 + 2*v - 17/2*v**3 + 2*v**5 + 6*v**2 = 0. What is v?
-2, -1/4, 0, 1, 2
Suppose -3*q = 3 - 9, -4*j - q + 10 = 0. Let -8 + 21 - 4 - 7 - s**j + s = 0. What is s?
-1, 2
Find m such that -4*m**3 + 2/3*m**5 + 0 + 8/3*m**4 - 8/3*m**2 + 10/3*m = 0.
-5, -1, 0, 1
Factor 51*o**2 + 12*o**2 - 4*o**3 - 98*o**2 - 2028*o - 121*o**2 - 8788.
-4*(o + 13)**3
Factor -96*k - 4*k**2 + 13*k**2 + 1152 - 4*k**2 - 3*k**2.
2*(k - 24)**2
Determine l so that -1/5*l**5 + 92/5*l + 107/5*l**3 - 36*l**2 - 18/5*l**4 + 0 = 0.
-23, 0, 1, 2
Let k be 2 - ((-4 - -7) + -3). Let -2*w - k*w**4 - 55 + 55 + 2*w**3 + 2*w**2 = 0. What is w?
-1, 0, 1
Let q = -41 + 44. Factor -2*m**3 + 0*m**2 + 2 - m + m**4 + 2*m**2 - 5*m**2 + q*m**3.
(m - 1)**2*(m + 1)*(m + 2)
Let r(o) = 3*o**3 + 9*o**2 + 4*o - 8. Let n(y) = -6*y**3 - 18*y**2 - 9*y + 15. Let x(s) = 4*n(s) + 9*r(s). Determine z so that x(z) = 0.
-2, 1
Let w = -1132 - -1135. Factor -2/3*o**2 + 0*o**w + 2/3*o**4 + 0 + 0*o.
2*o**2*(o - 1)*(o + 1)/3
Let i(u) = 2*u - 4. Let g be ((-6)/(-4))/(4/(24/3)). Let l be i(g). Factor 2/9*o + 2/9*o**l - 4/9.
2*(o - 1)*(o + 2)/9
Let m = -632 + 395. Let f = 259 + m. Factor f*b**3 + 14*b**4 + 64/7*b**2 + 8/7*b + 0.
2*b*(b + 1)*(7*b + 2)**2/7
Let t be 161/35 + 6/(-10). Suppose t*u - 19 = -3, -4*a = 3*u - 24. Solve -8*x**3 - 2*x**2 + 37*x**a - 4*x - 13*x**3 - 14*x**3 = 0.
-1, 0, 2
Let z(l) = -2*l + 1. Let i be z(-2). Suppose 0 = -2*h + i*h - 6. Find c such that -4*c**4 - 9*c**3 - c - 2*c**h + 0*c + 2*c**3 + 2*c = 0.
-1, 0, 1/4
Let i(p) = -2*p - 17. Let s be i(-12). Suppose s - 9 - v**3 + 2 + v**4 = 0. What is v?
0, 1
Suppose -2/11*l + 0 + 2/11*l**2 = 0. Calculate l.
0, 1
Let g = 45 - 30. Suppose 4*q - g = -3. Let 0 - 8 - 50*n**4 + 17*n**5 + 8*n + 33*n**5 + 58*n**2 - 58*n**q = 0. What is n?
-1, -2/5, 2/5, 1
Let s(o) be the first derivative of -2/39*o**3 + 2/13*o + 0*o**2 - 17. Solve s(m) = 0.
-1, 1
Let l(r) be the second derivative of -r**7/42 + r**6/3 - 31*r**5/20 + 5*r**4/2 + 55*r + 1. Factor l(h).
-h**2*(h - 5)*(h - 3)*(h - 2)
Suppose -35/3*z - 71/6 + 1/6*z**2 = 0. What is z?
-1, 71
Let c be (-58)/580 + -3 + 49/10. Factor 6/5 + c*n + 3/5*n**2.
3*(n + 1)*(n + 2)/5
Let u(s) = -s**5 - 2*s**3 + s**2 + 1. Let w(j) = -5*j**5 + 27*j**4 - 203*j**3 + 173*j**2 + 4. Let i(x) = -4*u(x) + w(x). Determine h so that i(h) = 0.
0, 1, 13
Let j(d) = 7*d**4 - 30*d**3 + 46*d**2 - 9*d - 11. Let x(i) = 14*i**4 - 59*i**3 + 92*i**2 - 17*i - 23. Let f(c) = 7*j(c) - 3*x(c). Factor f(q).
(q - 2)**2*(q - 1)*(7*q + 2)
Let n(r) be the first derivative of -r**5/4 - 5*r**4/12 - 29*r + 19. Let p(j) be the first derivative of n(j). What is a in p(a) = 0?
-1, 0
Let l(t) be the third derivative of -t**7/280 - 7*t**6/160 - t**5/20 + 3*t**4/8 - 835*t**2. Factor l(x).
-3*x*(x - 1)*(x + 2)*(x + 6)/4
Let d = 6 - 2. Suppose -58 + 42 = -d*k. Factor -2/3*u + 0*u**2 + 1/3*u**k + 2/3*u**3 - 1/3.
(u - 1)*(u + 1)**3/3
Let d(p) be the second derivative of 2*p**6/165 - p**5/10 - 23*p**4/66 + 14*p**3/33 + 359*p. Find w, given that d(w) = 0.
-2, 0, 1/2, 7
Let s(t) be the third derivative of t**7/2100 - t**6/90 + t**5/12 + 13*t**3/2 - t**2 + 42*t. Let l(q) be the first derivative of s(q). Factor l(z).
2*z*(z - 5)**2/5
Let c(j) be the first derivative of j**5/20 - 11*j**4/16 + 9*j**3/4 - 25*j**2/8 + 2*j + 411. Solve c(s) = 0 for s.
1, 8
Let s be ((-38)/3)/((-16)/(-6) - 2). Let t be (-8)/(-28) + s/(-7). Factor -1/7*w**4 + 3/7*w**t + 5/7*w**2 - 1/7*w**5 + 2/7*w + 0.
-w*(w - 2)*(w + 1)**3/7
Let s = -15/14 + 149/126. Let g(p) be the third derivative of 0*p +