) = -3*l**3 - 3*l**2 - 2*l. Let g be 3/15 + (-22)/10. Let f be -2 - (-1)/g*6. Let b(m) = 7*m**3 + 7*m**2 + 5*m. Let q(i) = f*c(i) - 2*b(i). Factor q(p).
p**2*(p + 1)
Let s(r) = -17*r**3 + 7*r**2 - r + 5. Let v(o) = o**3 - 1. Let z(j) = -s(j) - 5*v(j). Suppose z(x) = 0. Calculate x.
0, 1/4, 1/3
Let p be -5*5/(20/(-4)). Determine q, given that -1/5*q**p + 0*q**4 + 0*q - 2/5*q**2 + 0 + 3/5*q**3 = 0.
-2, 0, 1
Let u be (3/(6 - 3))/((-85)/(-50)). Factor 0 + u*a**2 - 6/17*a - 2/17*a**4 - 2/17*a**3.
-2*a*(a - 1)**2*(a + 3)/17
Let t(q) be the third derivative of 0*q - 1/150*q**5 + 0*q**6 + 0 + 1/525*q**7 + 0*q**3 + 0*q**4 + q**2. Factor t(h).
2*h**2*(h - 1)*(h + 1)/5
Let h(c) be the first derivative of -c**4/20 - 4*c**3/15 - c**2/2 - 2*c/5 + 10. Find n such that h(n) = 0.
-2, -1
Let s(c) = c - 4. Let a be s(8). Suppose -d - 4 = 4*x + 13, -14 = 2*d + a*x. Factor -d*z**2 + 5*z**2 - 4*z**3 + 7*z**3 - 5*z**3.
-2*z**2*(z - 1)
Let k(i) be the first derivative of -1/6*i**4 - 4*i**2 + 2*i - 4/3*i**3 - 3. Let x(y) be the first derivative of k(y). Factor x(c).
-2*(c + 2)**2
Let g be ((-9)/12)/(3/(-12) + 0). Determine p so that 8/5 + 8/5*p - 14/5*p**2 + 4/5*p**g = 0.
-1/2, 2
Let n(d) be the second derivative of -d**4/14 + 3*d**2/7 + 4*d. Factor n(b).
-6*(b - 1)*(b + 1)/7
Let m be -1*(-1)/((-1)/(-2)). Let p = m - 2. Factor -1/3*z**5 - 1/3*z**2 + 1/3*z**3 + 1/3*z**4 + p + 0*z.
-z**2*(z - 1)**2*(z + 1)/3
Let p(q) be the third derivative of -q**5/300 + q**4/120 - q**2 + 2*q. Factor p(o).
-o*(o - 1)/5
Let p(i) be the third derivative of -1/60*i**6 - i**2 + 0*i**3 + 0 + 1/15*i**5 - 1/12*i**4 + 0*i. Determine m so that p(m) = 0.
0, 1
Suppose 13/6*c**2 + 1/6*c**4 + 6 - 10*c + 5/3*c**3 = 0. Calculate c.
-6, 1
Let k(z) be the second derivative of -z**6/105 - z**5/70 + z**4/21 - 33*z. Factor k(h).
-2*h**2*(h - 1)*(h + 2)/7
Let t be 36/180 - ((-6)/20)/1. Suppose 1 + 1/2*y - t*y**2 = 0. What is y?
-1, 2
Let o(c) be the first derivative of -3*c**5/5 + 3*c**4/2 - 3*c**2 + 3*c - 4. Suppose o(a) = 0. Calculate a.
-1, 1
Let b(k) be the first derivative of -k**4 + 2*k**3/3 - k**2/8 - 3. Find l such that b(l) = 0.
0, 1/4
Let h(d) be the first derivative of d**5 - 5*d**4/4 - 5*d**3/3 + 5*d**2/2 + 19. Determine y, given that h(y) = 0.
-1, 0, 1
Let k(z) be the first derivative of z**6/33 - 4*z**5/55 - 13. Factor k(f).
2*f**4*(f - 2)/11
Let f(p) be the third derivative of -p**8/126 + 11*p**7/945 + 7*p**6/270 - 2*p**5/45 - p**4/54 + p**3/27 - 2*p**2. Determine q, given that f(q) = 0.
-1, -1/3, 1/4, 1
Factor 4*v**2 - 2*v**4 - 5*v + 16*v - 2 - 11*v.
-2*(v - 1)**2*(v + 1)**2
Let c(i) be the first derivative of i**3/15 - i**2/2 - 14*i/5 - 26. Factor c(t).
(t - 7)*(t + 2)/5
Let c(v) be the first derivative of -v**5/15 - v**4/3 - 4*v**3/9 - 9. Solve c(b) = 0.
-2, 0
Let u(k) be the first derivative of -3*k**5/5 - 3*k**4 - 3*k**3 + 6*k**2 + 12*k - 18. Factor u(o).
-3*(o - 1)*(o + 1)*(o + 2)**2
Let h be 49/17 + (-26)/(-221) - 1. Let c(t) be the second derivative of 1/45*t**6 - 1/9*t**3 + 1/30*t**5 + 0*t**h - 1/18*t**4 - 4*t + 0. Solve c(k) = 0.
-1, 0, 1
Let p(a) be the second derivative of a**7/28 - 3*a**6/10 + 39*a**5/40 - 3*a**4/2 + a**3 - 7*a. Factor p(i).
3*i*(i - 2)**2*(i - 1)**2/2
Let n(w) be the first derivative of w**7/2940 + w**6/1260 + w**3 + 2. Let m(s) be the third derivative of n(s). Determine g so that m(g) = 0.
-1, 0
Let s = 423/260 - -8/65. Determine b, given that -3/4*b**5 - 5/4*b**3 + 0*b + s*b**4 + 0 + 1/4*b**2 = 0.
0, 1/3, 1
Let a = 16 + -14. Factor -1/2*y**3 - y**a + 1 + 1/2*y.
-(y - 1)*(y + 1)*(y + 2)/2
Suppose 0*x + 7*x = 0. Let p(f) be the first derivative of x*f - 1 + 0*f**2 + f**3 - 3/8*f**4. Find v, given that p(v) = 0.
0, 2
What is m in 4/7*m**2 - 4/7*m + 0 = 0?
0, 1
Let c(h) = 3*h + 14. Let s be c(-6). Let g(q) = 5*q**2 + 6*q + 1. Let z(d) = -11*d**2 - 13*d - 2. Let o(l) = s*z(l) - 9*g(l). Factor o(b).
-(b + 1)**2
Let d(t) be the first derivative of 4/5*t**2 - 4 - 2/15*t**3 - 6/5*t. Factor d(i).
-2*(i - 3)*(i - 1)/5
Let f be (-2245)/(-60) - 2/(-8). Let i = 38 - f. Factor -q + i - 1/3*q**3 + q**2.
-(q - 1)**3/3
Suppose -17*z + 12*z + 4*m = -41, m = -4. Let 4/5*a**2 + 0 + 2*a**z - 4/5*a**4 + 0*a - 2*a**3 = 0. What is a?
-1, 0, 2/5, 1
Let p(a) be the first derivative of -a**6/33 - 2*a**5/11 - 5*a**4/11 - 20*a**3/33 - 5*a**2/11 - 2*a/11 - 19. Factor p(q).
-2*(q + 1)**5/11
Let i = 1786/3 + -437/15. Let g = i + -563. Solve 6/5*a**5 + 0 + 14/5*a**3 + 0*a + g*a**4 + 4/5*a**2 = 0 for a.
-1, -2/3, 0
Let x(k) be the second derivative of -k**5/150 + k**4/60 + 3*k**2 + 8*k. Let l(o) be the first derivative of x(o). Determine w, given that l(w) = 0.
0, 1
Let m(w) = -w - 1. Let r be m(-4). Factor d**5 - 10*d + 10*d + r*d**3 + 3*d**4 + d**2.
d**2*(d + 1)**3
Let y be (-69)/5 - (-1)/(-5). Let s = -8 - y. What is w in -s*w**2 + w + 2*w**2 + 5*w**2 = 0?
-1, 0
Let d = -40/7 + 207/35. Let b = 351/5 - 70. Solve -b*p + 0 + d*p**2 = 0 for p.
0, 1
Suppose -3 = -3*n + 12. Solve 19*t**2 - 11*t**2 - 5*t**3 + 2*t**3 - n*t**2 = 0.
0, 1
Find d such that 0 + 0*d**2 + 0*d - 3/2*d**4 + 3/2*d**3 = 0.
0, 1
Factor -10*f - 5*f**4 + 117*f**5 + 25*f**2 - 9*f**3 - 112*f**5 - 6*f**3.
5*f*(f - 1)**3*(f + 2)
Find i, given that -20*i**2 - 4*i**4 - i**4 + 166 - 166 + 25*i**3 = 0.
0, 1, 4
Factor -w + 5*w - 5*w**3 - 6*w**2 - 19*w - 14*w**2.
-5*w*(w + 1)*(w + 3)
Let v(g) = 1. Let i(z) = -z**2 + 3*z + 4. Let k(f) = i(f) - 4*v(f). Determine x, given that k(x) = 0.
0, 3
Let x be (-2 - 8/(-6))/(54/(-162)). Let 2/9*r**x + 2/9 + 4/9*r = 0. Calculate r.
-1
Let z be (-3)/15 + (-1414)/10. Let d = 142 + z. Determine i so that -16/5*i**2 + d*i**5 + 0*i + 24/5*i**3 - 12/5*i**4 + 0 = 0.
0, 2
Suppose 44/3*a**3 + 40/3*a - 8/3 - 10/3*a**4 - 22*a**2 = 0. What is a?
2/5, 1, 2
Let t(g) be the third derivative of -3*g**2 - 1/24*g**8 + 2/15*g**5 + 7/30*g**6 - 7/12*g**4 + 0 - 2/3*g**3 + 0*g - 2/105*g**7. Determine o, given that t(o) = 0.
-1, -2/7, 1
Let i(s) be the first derivative of -s**3/12 + s**2/2 - 3*s/4 + 19. Factor i(z).
-(z - 3)*(z - 1)/4
Let p(q) = 4*q - q**4 - 9*q**2 + 0*q**2 + 12*q**3 - 12*q**2 + 4*q**2. Let n(a) = -a**4 + 24*a**3 - 35*a**2 + 7*a. Let y(o) = 2*n(o) - 5*p(o). Solve y(k) = 0.
0, 1, 2
Suppose 5*w + c = -c + 4, -2 = -2*w - c. Factor -1/3*t**3 + 1/3*t**2 + w + 0*t.
-t**2*(t - 1)/3
Let x be (-8)/(-144)*3/140. Let t(d) be the third derivative of 0*d - 1/75*d**5 + 2/525*d**7 + 0*d**6 + x*d**8 - 1/60*d**4 + 0 + 0*d**3 + 2*d**2. Factor t(s).
2*s*(s - 1)*(s + 1)**3/5
Let t(n) be the third derivative of 0*n - 1/70*n**5 + 4*n**2 + 1/420*n**6 + 1/28*n**4 + 0 - 1/21*n**3. Factor t(w).
2*(w - 1)**3/7
Let u(d) = d**2 + 6*d - 72. Let b be u(6). Let 2/7*w**2 + 0 + b*w = 0. What is w?
0
Let q(p) = p**2 + 2*p - 2. Let d(m) = m**2 + 2*m - 1. Suppose h = -3*f + f + 27, 3*h = 3*f - 18. Let a = f - 8. Let s(u) = a*d(u) - 2*q(u). Factor s(y).
(y + 1)**2
Let m(o) be the third derivative of -2/147*o**7 + 1/21*o**4 + 9*o**2 + 2/35*o**6 + 0*o - 3/35*o**5 + 0 + 0*o**3. Factor m(t).
-4*t*(t - 1)**2*(5*t - 2)/7
Let l = 64 + -60. Find j such that 2/7*j**2 + 0 - 2/7*j + 18/7*j**3 + 8/7*j**5 + 22/7*j**l = 0.
-1, 0, 1/4
Let i(h) be the third derivative of -1/39*h**3 + 0*h + 0*h**6 + 1/195*h**5 - 2*h**2 + 0*h**4 - 1/1365*h**7 + 0. Factor i(q).
-2*(q - 1)**2*(q + 1)**2/13
Let f(z) be the second derivative of z**6/540 + z**5/90 - z**3/3 - 2*z. Let h(b) be the second derivative of f(b). Suppose h(d) = 0. What is d?
-2, 0
Let k be 6/(-2) + 0/5. Let b be 1 + k + 3 + 2. Find p, given that -8 - 2*p**b + 0*p**3 - 7*p**2 + 13*p**2 = 0.
-1, 2
Let u(t) = -t**5 - t**3 + t**2 - t + 1. Let i(b) = -103*b**5 + 468*b**4 - 682*b**3 + 403*b**2 - 82*b + 1. Let y(q) = i(q) + 5*u(q). What is j in y(j) = 0?
1/6, 1, 2
Suppose o + 2*o = 12. Let m be 0 - (3 - o)*2. Factor 0*h**m + 4/5*h**4 + 1/5*h**3 + 0 + 3/5*h**5 + 0*h.
h**3*(h + 1)*(3*h + 1)/5
Let m be ((-24)/42)/(2/(-7)). Let -6*r**3 - 14*r**2 + 8 - 2 + 5*r**m + 9*r = 0. What is r?
-2, -1/2, 1
Let j(m) = m - 1. Let p(r) = 3*r**2 - 5*r + 10. Let l(h) = 36*j(h) + 4*p(h). Suppose l(u) = 0. What is u?
-1, -1/3
Factor -6/5*s**2 + 6/5 - 2/5*s**3 + 2/5*s.
-2*(s - 1)*(s + 1)*(s + 3)/5
Factor -4/3*k**4 + 12*k**2 + 44/3*k + 4/3*k**3 + 16/3.
-4*(k - 4)*(k + 1)**3/3
Let v(r) be the third derivative of 0 + 0*r + r**2 + 1/18*r*