*4 + 3/20*m**5 + 0. Let p(z) = 0. What is z?
-2, -1, 2
Let n be ((-3)/(-6))/((-1)/18). Let d = n + 13. What is l in -3*l**2 - l**2 + 28*l - 30*l + d + 2*l**3 = 0?
-1, 1, 2
Factor 97*r**3 - 207*r**3 + 75*r**3 - 144*r - 174*r**2 - 32.
-(r + 4)*(5*r + 2)*(7*r + 4)
Let j(z) be the third derivative of -z**6/720 + z**5/72 + z**4/18 - 4*z**3/3 + 266*z**2. Determine s, given that j(s) = 0.
-3, 4
Let h be 2*(-10)/(-6) + 99/9 + -13. Solve 0 - 4/3*y**4 + h*y**3 - 4/3*y + 4/3*y**2 = 0 for y.
-1, 0, 1
Factor 19*b + 4 - 4*b**2 + 4 - 23*b.
-4*(b - 1)*(b + 2)
Let j = 1748 + -20959/12. Let u = 7/4 - j. What is t in -2/3 + t - u*t**3 + 0*t**2 = 0?
-2, 1
Factor -87795*g - g**2 + 188 + 87697*g + 3*g**2.
2*(g - 47)*(g - 2)
Let z be 2*(1 + 7/14). Let m(s) be the second derivative of -1/110*s**5 - 1/66*s**4 + s + 0 + 0*s**z + 0*s**2. Suppose m(o) = 0. Calculate o.
-1, 0
Factor g**2 + 37*g - 4*g**2 - 2*g**2 + 5*g**2 - g**2.
-g*(g - 37)
Suppose -23*c + 14*c = -36. Let h(n) be the second derivative of n + 3/20*n**5 - 1/4*n**c - 1/2*n**3 + 3/2*n**2 + 0. Factor h(d).
3*(d - 1)**2*(d + 1)
Let l(v) = v. Let k(z) = 17*z**2 - 74*z + 8. Let u(t) = 3*k(t) + 12*l(t). Determine q so that u(q) = 0.
2/17, 4
Let s(r) = 134*r**3 + r. Let c be s(-1). Let h = c - -137. Factor -2*v + 0 - 2/3*v**h.
-2*v*(v + 3)/3
Let r be (17/26 - (-8)/(-52))/10. Let q(w) be the second derivative of 4*w + 0*w**3 + 1/12*w**4 + 0*w**2 + 0 + r*w**5. Solve q(m) = 0 for m.
-1, 0
Suppose 4*n + 9 + 11 = w, 24 = 3*w - 3*n. Factor 0*s**2 + 0 + 0*s + 2/13*s**w + 2/13*s**3.
2*s**3*(s + 1)/13
Let c(w) = w + 1. Let u(v) be the first derivative of -5*v**3/3 - 11*v**2 - 17*v + 17. Let p(r) = -2*c(r) - u(r). Factor p(x).
5*(x + 1)*(x + 3)
Solve 27*h**4 - 5*h**3 + h**4 + 13*h**3 + 4*h**5 + 16*h**5 = 0.
-1, -2/5, 0
Factor -27/2*r + 3/2*r**2 + 0.
3*r*(r - 9)/2
Let q(l) be the first derivative of l**5/20 + 5*l**4/12 + 2*l**3/3 + 12*l - 4. Let b(d) be the first derivative of q(d). Factor b(n).
n*(n + 1)*(n + 4)
Let w(f) = f**5 - 11*f**4 - 14*f**3 + 28*f**2 - 14*f. Let r(i) = -i**5 + 16*i**4 + 15*i**3 - 28*i**2 + 13*i. Let m(s) = -2*r(s) - 3*w(s). Factor m(x).
-x*(x - 2)**2*(x - 1)*(x + 4)
Factor 4/5*o**3 - 4*o**2 - 128/5*o - 144/5.
4*(o - 9)*(o + 2)**2/5
Suppose -2*z + 6 = a, -4*z - 102 = -3*a - 84. Factor 8/7 - 2/7*s**2 + z*s.
-2*(s - 2)*(s + 2)/7
Suppose 97 = 4*c - 31. Suppose -5*i - 15 = -5*p, 3*p = -5*i - 7 + c. What is j in 3/7*j + 0*j**3 - 6/7*j**2 + 6/7*j**4 - 3/7*j**p + 0 = 0?
-1, 0, 1
Let w(v) be the first derivative of v**6/24 + v**5/6 + 11*v**2/2 - 19. Let n(i) be the second derivative of w(i). Solve n(m) = 0.
-2, 0
Let m(h) be the first derivative of -12/35*h**5 - 4/7*h**2 - 1/21*h**6 + 0*h - 7 - 13/14*h**4 - 8/7*h**3. Factor m(s).
-2*s*(s + 1)**2*(s + 2)**2/7
Let l(c) = -c**2 - 14*c - 12. Let h = -19 + 14. Let k be l(h). Factor 10*u - 1 + 27*u**3 + k*u**2 + 1 - 4*u.
3*u*(u + 1)*(9*u + 2)
Let o(c) be the first derivative of -c**6/21 + 12*c**5/35 + 12*c**4/7 - 160*c**3/21 - 48*c**2 - 576*c/7 - 731. Factor o(w).
-2*(w - 6)**2*(w + 2)**3/7
Suppose -2*a + 18 = -42. What is r in -28*r - 5*r**2 + 47*r - 24*r + a = 0?
-3, 2
Let r be -1 + (1 + -4 - -9). Solve -6/17*b**4 + 0 + 0*b**3 + 0*b**2 + 0*b - 2/17*b**r = 0 for b.
-3, 0
Let d be 6 - (-5 + (-6)/(-12)*14). Let y(n) be the second derivative of 3/10*n**2 + 0 - 1/20*n**d + 0*n**3 + 5*n. Let y(p) = 0. What is p?
-1, 1
Let y(v) be the third derivative of v**2 + 0*v + 1/12*v**5 - 1/3*v**3 + 7/24*v**4 + 0 - 1/30*v**6. Factor y(a).
-(a - 2)*(a + 1)*(4*a - 1)
Let t(w) = 27*w**3 + 11*w**2 - 196*w + 108. Let d(h) = -2*h**3 - h**2 + h + 2. Let g(j) = 6*d(j) + t(j). Let g(a) = 0. Calculate a.
-4, 2/3, 3
Let j be 3/(-5) + 9180/6300. Determine l so that j - 26/7*l + 8/7*l**2 = 0.
1/4, 3
Suppose 26*j + 5186 = 5186. Factor -21/8*d**4 - 3/8*d**2 + 0 - 15/8*d**3 + j*d - 9/8*d**5.
-3*d**2*(d + 1)**2*(3*d + 1)/8
Let j(s) = 4*s**3 + 6*s**2 + 14*s + 3. Let h(q) = 7*q**3 + 13*q**2 + 28*q + 5. Let u(y) = -6*h(y) + 10*j(y). Suppose u(n) = 0. What is n?
-7, -2, 0
Let g(x) be the first derivative of -3*x**4/22 - 12*x**3/11 + 192*x/11 + 240. Solve g(k) = 0 for k.
-4, 2
Let p(k) be the first derivative of -3*k**4/28 - 43*k**3/7 + 267*k**2/14 - 135*k/7 + 338. Determine x so that p(x) = 0.
-45, 1
Let j be (-2 + 9/(-3))/(26/(-6)). Let o = j + -62/65. Factor o*y**5 + 0 - 1/5*y**3 + 1/5*y**4 + 0*y - 1/5*y**2.
y**2*(y - 1)*(y + 1)**2/5
Let w(x) be the first derivative of 0*x + 9/5*x**5 - 1/2*x**6 - 3/4*x**4 - 3*x**3 + 3*x**2 + 7. Suppose w(s) = 0. Calculate s.
-1, 0, 1, 2
Let u(t) be the first derivative of -34 + t**3 - 25*t**2 + 243*t - 13*t**2 + 11*t**2. Factor u(x).
3*(x - 9)**2
Let o(r) be the second derivative of 0 + 1/2*r**2 - 13/30*r**6 - 2/3*r**4 + 17/20*r**5 - 18*r - 1/12*r**3 + 1/12*r**7. Factor o(w).
(w - 1)**4*(7*w + 2)/2
Let r = -165 - -165. Solve 2/19*f**5 + 0*f**4 + r - 2/19*f**3 + 0*f + 0*f**2 = 0 for f.
-1, 0, 1
Let g(x) be the third derivative of x**9/100800 + x**8/11200 + x**7/4200 - x**5/20 + 4*x**2. Let v(o) be the third derivative of g(o). Factor v(j).
3*j*(j + 1)*(j + 2)/5
Let t(j) = 2*j + 22. Let w be t(-9). Determine q, given that 11*q**2 + 28*q**5 + 12*q**w + 44*q**3 - 3*q**2 + 52*q**4 = 0.
-1, -2/7, 0
Let p(h) be the third derivative of -1/280*h**6 - 1/245*h**7 + 0*h**4 + 0 + 0*h**3 + 11*h**2 + 0*h + 1/784*h**8 + 1/70*h**5. Determine c so that p(c) = 0.
-1, 0, 1, 2
Let w(v) = 42*v**3 + 75*v**2 + 12*v - 12. Suppose -3*d + 8 = -2*m + 3, -3*d = -3. Let y(c) = -c**2. Let n(t) = m*w(t) + 18*y(t). Factor n(b).
-3*(b + 2)*(2*b + 1)*(7*b - 2)
Factor 2/17*i**2 + 756/17*i + 71442/17.
2*(i + 189)**2/17
Let u be 10 - 10*(-98)/(-40)*(-4)/(-14). Factor 3/2*q + 9/4*q**2 + 0 + 3/4*q**u.
3*q*(q + 1)*(q + 2)/4
Let n(s) be the first derivative of -s**5/15 - s**4/12 + 7*s**3/9 + 13*s**2/6 + 2*s - 43. Factor n(x).
-(x - 3)*(x + 1)**2*(x + 2)/3
Let q(i) be the second derivative of 49*i**5/10 - 91*i**4/2 + 48*i**3 - 20*i**2 - 17*i - 1. Determine u, given that q(u) = 0.
2/7, 5
Factor -x**4 - 12*x + 403*x**2 - 30*x**3 - 437*x**2 - 7*x**4.
-2*x*(x + 1)*(x + 2)*(4*x + 3)
Let g = -1331/6 + 447/2. Solve 0*w + 13/3*w**4 + 0 - g*w**5 - 4/3*w**2 - 4/3*w**3 = 0.
-2/5, 0, 1, 2
Find w such that -4 + 2/7*w**3 + 10/7*w + 16/7*w**2 = 0.
-7, -2, 1
Let t(r) be the third derivative of -r**8/2240 - r**7/1120 + r**6/240 + 3*r**3 + 17*r**2. Let y(d) be the first derivative of t(d). Factor y(p).
-3*p**2*(p - 1)*(p + 2)/4
Let m(p) = 23*p**2 - 175*p + 1570. Let i(q) = -4*q**2 + 29*q - 262. Let x(c) = 34*i(c) + 6*m(c). Let x(y) = 0. What is y?
16
Let y be (2/(-3))/((1196/(-345))/26). Factor -5*x - 10/3 + y*x**3 + 5/3*x**4 + 5/3*x**2.
5*(x - 1)*(x + 1)**2*(x + 2)/3
Let c(n) be the third derivative of 0 + 0*n + 0*n**3 - 5/8*n**4 + 1/6*n**5 + 16*n**2 + 1/24*n**6. Let c(h) = 0. What is h?
-3, 0, 1
Let d(g) = 2*g**5 + 9*g**4 - g**3 - 15*g**2 + 21*g + 17. Let x(q) = q**5 + 5*q**4 - 8*q**2 + 11*q + 9. Let c(h) = 6*d(h) - 11*x(h). Factor c(u).
(u - 3)*(u - 1)*(u + 1)**3
Let u(s) be the third derivative of s**9/272160 - s**7/7560 + s**6/1620 - s**5/20 - 3*s**2. Let f(q) be the third derivative of u(q). Find o such that f(o) = 0.
-2, 1
Let t(i) = 29*i**2 - 1942*i + 48020. Let a(m) = -7*m**2 + 486*m - 12005. Let c(w) = -9*a(w) - 2*t(w). Factor c(b).
5*(b - 49)**2
Let h(x) be the first derivative of -16 + 0*x**2 + 0*x**4 + 0*x + x**3 - 3/20*x**5. Solve h(l) = 0 for l.
-2, 0, 2
Let f(n) be the second derivative of -8*n**7/7 - 46*n**6/15 + 47*n**5/5 + 17*n**4/3 - 46*n**3/3 - 12*n**2 - 3*n + 5. Let f(g) = 0. Calculate g.
-3, -2/3, -1/4, 1
Suppose 60 = 9*a - 6*a. Suppose 5*v - 2*c - 115 = -4*c, -v - c + a = 0. Factor 6*h + 15 - v + 14 + 2*h**2.
2*(h + 1)*(h + 2)
Factor 14/5*v + 1/5*v**2 + 0.
v*(v + 14)/5
Suppose 12*p - 10 = 8*p - 5*y, 0 = -4*p + 5*y + 30. Let h(c) be the second derivative of 0*c**3 + 0*c**2 + 0 - 1/40*c**p + 1/12*c**4 - 9*c. Factor h(m).
-m**2*(m - 2)/2
Let h = -2800 + 14007/5. Factor 12/5*l - 1/5*l**4 - 16/5*l**2 + h*l**3 + 0.
-l*(l - 3)*(l - 2)**2/5
Let i(z) be the third derivative of z**7/420 + z**6/10 - z**5/40 - 37*z**4/24 - 4*z**3 + 795*z**2. Factor i(x).
(x - 2)*(x + 1)**2*(x + 24)/2
Let w = 203/4 + -1787/36. Let w*r**3 - 2/3*r**5 + 0 - 2/9*r**4 + 2/9*r**2 - 4/9*r = 0. Calculate r.
-1, 0, 2/3, 1
Let l be 1 + 