**2 - 634*l - 18. Let k(c) = -c**3 + c**2 + c + 2. Let g(m) = -36*k(m) - 4*o(m). What is y in g(y) = 0?
-25, 0
Factor -2*d**3 - 8*d**3 + d + 18*d**3 - 4*d**5 - 5*d.
-4*d*(d - 1)**2*(d + 1)**2
Let 38024*i + 391*i**2 + 0*i**3 - 31301 - 15090 - 117 + i**3 + 8092 = 0. Calculate i.
-196, 1
Let i = 5713/1365 - -4/273. Let z(m) be the first derivative of 3/2*m**6 + 3*m**3 + 0*m - i*m**5 + 1 + 9/4*m**4 - 3*m**2. Let z(l) = 0. What is l?
-2/3, 0, 1
Let 2/7*b**2 + 484/7*b + 29282/7 = 0. Calculate b.
-121
Let k(x) = -3*x**4 + 15*x**3 - 18*x**2 - 12*x + 60. Let m(b) = -2. Let v(r) = k(r) + 18*m(r). Factor v(d).
-3*(d - 2)**3*(d + 1)
Let w be 128/21 - (-88)/(-924). Let f(i) be the third derivative of 0*i**5 + 0 + 3*i**2 - 1/20*i**w + 1/4*i**4 + 1/70*i**7 + 0*i - 1/2*i**3. Factor f(v).
3*(v - 1)**3*(v + 1)
Let c(a) be the second derivative of -a**6/19 - 17*a**5/190 - a**4/57 - 30*a - 2. Find g such that c(g) = 0.
-1, -2/15, 0
Let 9*s**2 + s**3 + 7*s**2 - 4*s + 16 - 11*s**2 - 18*s = 0. Calculate s.
-8, 1, 2
Let q = -9 + 42. Let t = q - 29. Find d such that 3*d**3 - 2*d - 12*d**2 + d**3 + 8*d**2 + t*d**4 - 2*d = 0.
-1, 0, 1
Factor 3*u**2 + 0*u + 9/2*u**4 - 29/2*u**3 + 0.
u**2*(u - 3)*(9*u - 2)/2
Factor -1/2*w**2 + 31/2*w + 0.
-w*(w - 31)/2
Let n be (1 - (-1 - 0))*1. Suppose -k - 23 = -5*g, -k + n*g - 16 = -4*k. Factor 9*h**3 - 17*h**2 - 33*h**4 + 6*h + 45*h**4 - 10*h**k.
3*h*(h - 1)*(h + 2)*(4*h - 1)
Let q(a) be the first derivative of -a**8/1680 - a**7/840 + a**6/360 + a**5/120 - a**3/3 + 23. Let u(i) be the third derivative of q(i). Factor u(o).
-o*(o - 1)*(o + 1)**2
Let r(y) = y**2 + 9*y + 17. Let q be r(-7). Suppose z**2 + q*z**2 - 8*z + 0*z**2 = 0. What is z?
0, 2
Let u(z) = 14*z**3 + 10*z**2 + 14*z. Let j(g) = 16*g**3 + 10*g**2 + 15*g. Let r(c) = -6*j(c) + 7*u(c). Let r(v) = 0. Calculate v.
-4, -1, 0
Let j(d) = 3 - 11*d + 10*d + 7 + 2. Let v be j(9). Suppose 0 + 0*u + 1/4*u**4 - 1/2*u**v + 1/4*u**5 + 0*u**2 = 0. Calculate u.
-2, 0, 1
Let m(l) be the second derivative of -l**6/60 + l**5/10 + 5*l**4/12 - 7*l**3/3 + 15*l**2/4 + 14*l - 9. What is d in m(d) = 0?
-3, 1, 5
Let i(o) = 4*o + 6. Let x be i(4). Suppose -4*w - x = -p, -4*p = -p - 5*w - 59. Factor 18*z**2 + 2*z**4 - p*z**2.
2*z**4
Find q, given that -2/7*q**5 + 0 - 34/7*q**2 + 12/7*q - 6/7*q**4 + 30/7*q**3 = 0.
-6, 0, 1
Suppose -4*s = -4*u + 36, 4*u - 3 = 3*u + 4*s. Let 11*c**2 + 8*c + 4 - 5*c**2 - u*c**2 = 0. What is c?
-2/5, 2
Suppose 2*c - m - 4 = 0, 3*m + 5 = 4*c + 1. Suppose -a + 4*a + c*f = 4, 5*a + 2*f = 16. Determine s, given that 6*s**3 - s**3 + 3*s**3 - a*s**4 - 8*s + 4 = 0.
-1, 1
Let l be (-23)/(-12) + (-3520)/2112. Factor 2*r - 7/4 - l*r**2.
-(r - 7)*(r - 1)/4
Let l = 226 + -223. Let q(r) be the first derivative of r**2 + 4 + 2*r + 1/3*r**6 - r**4 + 2/5*r**5 - 4/3*r**l. Factor q(k).
2*(k - 1)**2*(k + 1)**3
Suppose -u + 16 = 3*u. Suppose -2*q**u + q**5 + 2*q**4 - 2*q**5 = 0. Calculate q.
0
Let v(b) = 3*b**2 + 8*b + 5. Suppose 10 = 3*w - 7*w - 2*y, 18 = -3*w + 2*y. Let i(g) = g + 1. Let r(k) = w*i(k) - v(k). Factor r(t).
-3*(t + 1)*(t + 3)
Suppose 16 - 102*d - 6*d**3 - 3*d**3 + 75*d**2 + 30*d**3 - 10*d**3 = 0. What is d?
-8, 2/11, 1
Suppose 0 = 13*t - 14*t + 8. Let u = 2 - -7. What is a in 3*a - 3*a**3 + u*a**3 + t*a**2 + a**2 = 0?
-1, -1/2, 0
Let d be (16/144)/((-20)/(-42)). Let j(l) be the second derivative of -23/20*l**5 + 0*l**2 - 2/3*l**3 - 3*l + d*l**6 + 0 + 5/3*l**4. Find y such that j(y) = 0.
0, 2/7, 1, 2
Let a(m) be the second derivative of -m**6/120 - 13*m**3/6 - 8*m. Let c(g) be the second derivative of a(g). Suppose c(j) = 0. What is j?
0
Factor 35*n + 1089 + 6*n**2 - 5*n**2 + 7*n + 24*n.
(n + 33)**2
Let d = -700 + 8401/12. Let k(i) be the third derivative of 0*i - 1/960*i**6 + d*i**3 - 1/24*i**4 + 1/96*i**5 - i**2 + 0. Factor k(b).
-(b - 2)**2*(b - 1)/8
Let -52/23*z - 8/23*z**3 - 16/23 + 6/23*z**4 - 50/23*z**2 = 0. What is z?
-1, -2/3, 4
Let l = -5/43 + 73/258. Let d(s) be the first derivative of -1/4*s**4 - 2/5*s**5 + 4 + 0*s**3 + 0*s**2 - l*s**6 + 0*s. Factor d(w).
-w**3*(w + 1)**2
Let f = -4 - 5. Let t be 7/5 - f/15. Factor 8*v**3 - v**2 - 4*v - t*v**4 + 3*v**2 - 6*v**4 + 2*v**4.
-2*v*(v - 1)**2*(3*v + 2)
Suppose -208*l + 616 = -25*l + 125*l. Factor -16/7 + 18/7*i - 2/7*i**l.
-2*(i - 8)*(i - 1)/7
Let a(k) be the third derivative of k**6/200 - 29*k**5/50 - 316*k**2 + k. What is c in a(c) = 0?
0, 58
Let k(s) = 36*s - 3*s**4 - 24*s**3 + 7 + 27*s**2 + 4 - 25*s. Let g(a) = a**4 + 6*a**3 - 7*a**2 - 3*a - 3. Let u(b) = 22*g(b) + 6*k(b). Factor u(j).
4*j**2*(j - 2)*(j - 1)
Let u = 1431 + -1429. Let b(y) be the second derivative of 3*y**u + 0 + 10*y - 4/3*y**3 + 1/6*y**4. Factor b(a).
2*(a - 3)*(a - 1)
Let m(b) be the first derivative of -b**5/180 - b**4/24 - b**3/9 + 11*b**2/2 + 31. Let h(v) be the second derivative of m(v). Find s, given that h(s) = 0.
-2, -1
Let d(t) be the second derivative of -t**7/42 + t**6/15 + 13*t**5/10 - 27*t**3/2 + 27*t**2 - 460*t. Factor d(s).
-(s - 6)*(s - 1)**2*(s + 3)**2
Let g = 275 - 275. Let v(m) be the third derivative of 1/30*m**5 + 0*m**3 + 5*m**2 - 1/60*m**6 + 0*m - 1/36*m**4 + g + 1/315*m**7. Factor v(c).
2*c*(c - 1)**3/3
Suppose 2*q + 18 = 2*h, 3*h + 0*h = -3*q - 3. Let s(x) be the third derivative of 1/3*x**3 - 4*x**2 + 1/20*x**5 + 0 + 5/24*x**h + 0*x. Factor s(i).
(i + 1)*(3*i + 2)
Let d(m) = -m**3 - 14*m**2 + 34*m + 34. Let i be d(-16). Suppose 1/3*o**i - 1/6 - 1/6*o**4 + 1/6*o - 1/3*o**3 + 1/6*o**5 = 0. What is o?
-1, 1
Let q(k) = 2*k**2 - 108*k + 1938. Let i(m) = 2*m + 2. Let p(y) = -8*i(y) + q(y). Factor p(f).
2*(f - 31)**2
Suppose i = 6 - 1. Let u be (i - -3) + -13 + 7. Solve -15/2*o**4 + 12*o**3 - 48*o + 36*o**u - 24 = 0.
-2, -2/5, 2
Suppose -x = 4*a + 41, -4*x = 2*a + 3*a + 142. Let p be -1 + ((x/(-2))/1)/3. Factor -9*c**2 - 12*c + 0*c**3 - p + 3/2*c**4.
3*(c - 3)*(c + 1)**3/2
Factor 2/5*k**4 + 18/5*k**2 - 14/5*k + 4/5 - 2*k**3.
2*(k - 2)*(k - 1)**3/5
Suppose 6*n - 23 = 1. Factor 61*j**n - 31*j**2 + 79*j**4 + 98*j**5 + 291*j - 283*j - 9*j**2 - 6*j**3.
2*j*(j + 1)**2*(7*j - 2)**2
Suppose -5*z + d - 62 = -59, 5*z - 4*d = -12. Let c(r) be the third derivative of -8/15*r**3 + 0*r + 0*r**4 + 1/25*r**5 - 10*r**2 - 1/150*r**6 + z. Factor c(k).
-4*(k - 2)**2*(k + 1)/5
Let i = -1/5009 - -5011/10018. Let -1/6*k**5 + 0 + 0*k + 1/6*k**3 + 1/2*k**2 - i*k**4 = 0. Calculate k.
-3, -1, 0, 1
Let n(q) be the third derivative of -6*q**2 + 0*q**3 + 1/300*q**6 - 1/525*q**7 + 0*q**4 + 0*q + 0*q**5 + 0. Factor n(r).
-2*r**3*(r - 1)/5
Let z(o) be the second derivative of -o**9/30240 + o**8/6720 - o**6/720 + o**5/240 + o**4/6 + 7*o. Let g(w) be the third derivative of z(w). Solve g(t) = 0.
-1, 1
Let d be ((-3)/(-12))/(7 + (-216)/32). Suppose 0 = 6*z - 2*z - 64. Suppose -c**3 + 4*c**4 + z*c - 4*c**5 + 4*c**4 - 5*c**2 + d - 15*c = 0. Calculate c.
-1/2, 1
Let g(a) be the first derivative of -1/5*a**5 - 1/8*a**4 + 0*a**2 + 0*a + 0*a**3 - 1/12*a**6 + 47. Factor g(d).
-d**3*(d + 1)**2/2
Let c = -4635/2 + 23177/10. Factor 3/5*i + c*i**2 - 4/5.
(i - 1)*(i + 4)/5
Let v(j) = 2*j. Let y(q) = -2*q**2 + 352*q - 14450. Let o(b) = 6*v(b) - y(b). Factor o(m).
2*(m - 85)**2
Suppose 14 = -5*t - 5*o + 9, 5*o + 11 = -3*t. Let h(k) be the second derivative of -4*k**2 - 1/6*k**4 - k + 4/3*k**t + 0. Solve h(i) = 0 for i.
2
Let k(w) be the second derivative of w**5/5 - 29*w**4 + 1290*w**3 - 3698*w**2 - 726*w + 2. Factor k(g).
4*(g - 43)**2*(g - 1)
Let m(u) be the second derivative of -u**5/4 + 15*u**4 - 595*u**3/2 + 1445*u**2 - 5*u - 7. Solve m(w) = 0 for w.
2, 17
Determine o, given that -135*o**2 + 5*o**3 + 999*o - 482*o - 405*o - 145 - 397*o = 0.
-1, 29
Let z(x) = -44*x**3 - 116*x**2 - 160*x + 626. Let t(u) = -9*u**3 - 22*u**2 - 32*u + 125. Let h(v) = 28*t(v) - 6*z(v). Factor h(w).
4*(w + 4)**2*(3*w - 4)
Suppose -369*q + 21 = 3*n - 372*q, 0 = 3*q + 15. Solve -2/3 + 2*b - n*b**3 + 2/3*b**2 = 0.
-1, 1/3, 1
Let h(a) be the second derivative of -a**4/4 + 6*a**3 - 81*a**2/2 - 118*a. Factor h(r).
-3*(r - 9)*(r - 3)
Let s(n) be the first derivative of n**5/180 - n**4/18 - 5*n**3/18 + 21*n**2/2 + 28. Let v(u) be the second derivative of s(u). Factor v(j).
(j - 5)*(j + 1)/3
Let d be (-4)/(-3)*21192/160. Let x = 179 - d. Factor -x*m - 2/5*m**2 - 18/5.
-2*(m + 3)**2/5
Let c(z) be the se