*g**4 - 32 + 56*g = 0. What is g?
1, 4
Determine z so that -45*z**5 + 36/7*z**2 - 281/7*z**4 - 8/7*z + 0 + 78/7*z**3 = 0.
-1, -2/5, 0, 2/9, 2/7
Let j(c) = -18*c + 92. Let b(f) = 7*f - 86. Let a be b(13). Let l be j(a). Factor 3/2*i**l + 6 - 15/2*i.
3*(i - 4)*(i - 1)/2
Let y = 35 - 38. Let u(j) = 6*j**2 + 6*j - 26. Let d(z) = -z**2 - z + 5. Let i(l) = y*u(l) - 14*d(l). Determine x, given that i(x) = 0.
-2, 1
Let q(y) be the third derivative of -2*y**7/315 + y**6/15 - y**5/5 - 670*y**2. Let q(c) = 0. What is c?
0, 3
Suppose 30 = -3*n - 90. Let z be ((-6)/(-15))/((-12)/n). Factor z*v + 4/3 + 1/3*v**2.
(v + 2)**2/3
Suppose 2*g = 36 - 32. Suppose -4*b + b**g + 5*b + 0*b = 0. Calculate b.
-1, 0
Let a(z) be the second derivative of -z**5/140 + z**4/84 + 15*z**3/7 - 52*z + 3. Factor a(u).
-u*(u - 10)*(u + 9)/7
Suppose 3*o - 24 = -2*d, 2*o - 56 = -2*d - 2*d. Factor 0*l**3 - 14*l**2 + d - 6*l**3 + l**3 + 5*l - l**2.
-5*(l - 1)*(l + 1)*(l + 3)
Let b(n) be the second derivative of n**5/10 + 5*n**4/6 + n**3 - 9*n**2 + 124*n. Suppose b(o) = 0. What is o?
-3, 1
Suppose 253*r = 244*r + 36. Let i(h) be the third derivative of 0 - 1/120*h**5 + 0*h**3 + 1/480*h**6 + 1/96*h**r + 0*h + 7*h**2. Factor i(t).
t*(t - 1)**2/4
Let i(d) be the second derivative of -5/6*d**3 + d**2 - d + 1/3*d**4 - 1/20*d**5 + 0. Let i(q) = 0. What is q?
1, 2
Let u(m) be the second derivative of -1/195*m**6 - 2/65*m**5 - 4/39*m**3 + 0 - 1/13*m**4 + 28*m - 1/13*m**2. Factor u(j).
-2*(j + 1)**4/13
Let t(w) = -w**2 + 142*w. Let l(p) = 72*p. Let n(d) = 5*l(d) - 2*t(d). Factor n(i).
2*i*(i + 38)
Let s(l) be the third derivative of -l**8/336 - l**7/168 - 2*l**3 + 2*l**2. Let r(q) be the first derivative of s(q). Let r(o) = 0. Calculate o.
-1, 0
Let a(w) = 3*w**2 - 3*w + 2. Let z(c) = 6*c**2 - 6*c + 4. Let n(g) = 7*a(g) - 3*z(g). Let l be n(1). Factor -2/5*t + 4/15 + 2/15*t**l.
2*(t - 2)*(t - 1)/15
Factor 43194 + 250*q - 135*q**2 - 43194 + 5*q**3.
5*q*(q - 25)*(q - 2)
Suppose -4 = -10*h + 26. Factor -3*q + 7*q**5 + h*q**3 + 3*q**3 - 2*q**5 - 8*q**5.
-3*q*(q - 1)**2*(q + 1)**2
Let k(z) = z**2 + 1. Let c be (-2)/(-16) + (-291)/24. Let x be (20/c)/((-15)/54). Let s(m) = m**3 + 5*m**2 - m + 7. Let l(b) = x*k(b) - s(b). Factor l(u).
-(u - 1)**2*(u + 1)
Let r(p) = -p**3 + p. Let l(n) = -15*n**3 - 30*n**2 - 55*n - 40. Let c(m) = l(m) - 20*r(m). Factor c(s).
5*(s - 8)*(s + 1)**2
Factor 0 - 2/9*l**2 - 2*l.
-2*l*(l + 9)/9
Let l(q) = q + 2. Let y be l(0). Suppose -3*k = t + 6, -16*t = -20*t - 3*k - 6. Determine w, given that -2/5*w**4 + 0*w + 2/5*w**y + t + 0*w**3 = 0.
-1, 0, 1
Let c(a) be the second derivative of 0*a**3 + 0*a**2 + 0 + 1/20*a**6 - 2*a - 9/40*a**5 + 1/4*a**4. Determine w, given that c(w) = 0.
0, 1, 2
Let l(j) be the third derivative of -j**8/1680 - 2*j**7/525 - j**6/150 + j**5/150 + j**4/24 + j**3/15 + 383*j**2. Factor l(n).
-(n - 1)*(n + 1)**3*(n + 2)/5
Solve 0 + 1/3*n - 1/2*n**2 + 1/6*n**3 = 0.
0, 1, 2
Let y(v) be the second derivative of v**5/12 - 10*v**3/3 - 13*v**2 - 2*v + 18. Let i(d) be the first derivative of y(d). Factor i(g).
5*(g - 2)*(g + 2)
Let a(x) be the third derivative of -x**6/120 - x**5/12 - x**4/4 + 2*x**2 - 40. Factor a(d).
-d*(d + 2)*(d + 3)
Let i = -483 - -483. Let t(y) be the second derivative of i*y**4 + 0*y**3 - 2/15*y**6 + 0*y**2 + 0 + 1/21*y**7 + 1/10*y**5 - 2*y. Factor t(q).
2*q**3*(q - 1)**2
What is k in -52*k + k**3 + 17 + 0*k**3 - 12*k**2 + 23 + 20*k**2 + 3*k**3 = 0?
-5, 1, 2
Let g(w) = -w**5 + 3*w**3 + w**2 + w. Let r(i) = -i**5 + 8*i**4 + 21*i**3 + 2*i**2 + 2*i. Let l(u) = -2*g(u) + r(u). Factor l(b).
b**3*(b + 3)*(b + 5)
Let p(v) be the first derivative of -11/21*v**2 - 2/35*v**5 + 20 - 13/42*v**4 - 4/21*v - 38/63*v**3. Let p(z) = 0. What is z?
-2, -1, -1/3
Factor 0*i + 2/5*i**3 - 8/5 + 6/5*i**2.
2*(i - 1)*(i + 2)**2/5
Let f = -1/58 + 63/290. Determine k so that f + 3/5*k**2 + 3/5*k + 1/5*k**3 = 0.
-1
Let j = 218 + -216. Let c = 71 - 209/3. Factor c*l**3 - 1/3*l**4 + 4/3*l - j*l**2 - 1/3.
-(l - 1)**4/3
Let y(z) = -z**3 + z**2 - 2. Let n(m) = -m**4 - 15*m**3 + 27*m**2 - 11*m - 12. Let r(o) = n(o) - 6*y(o). Factor r(v).
-v*(v - 1)**2*(v + 11)
Let g(s) be the second derivative of 0*s**3 + 0*s**2 + 0*s**4 + 1/20*s**5 - 1/30*s**6 + 0 + 11*s. Suppose g(k) = 0. Calculate k.
0, 1
Suppose -710 = -272*c - 166. Factor -8/5*y + 2/5*y**c + 0.
2*y*(y - 4)/5
Suppose 3*z = 5*u - 2*u, -4*u + 2*z = 0. Let p(l) be the second derivative of -4*l - 1/42*l**4 + u - 4/7*l**2 + 4/21*l**3. Factor p(y).
-2*(y - 2)**2/7
Factor 30*j + j**2 - 1/2*j**4 + 36 - 7/2*j**3.
-(j - 3)*(j + 2)**2*(j + 6)/2
Let q(p) be the first derivative of -p**4/42 - 4*p**3/21 - 4*p**2/7 + 17*p + 15. Let u(l) be the first derivative of q(l). Factor u(t).
-2*(t + 2)**2/7
Let o(w) = -3*w + 1. Let d be o(-7). Let p be d/6 + (-3)/(-9). Let -7*v**p - 3*v + 6*v**2 - 2*v**4 + 3*v**4 + 3*v**3 = 0. What is v?
-1, 0, 1/2, 1
Let u = -6 - -4. Let w be -33 - u - 8/(-2). Let k(x) = -12*x**2 + 66*x. Let j(l) = -l**2 + 5*l. Let m(q) = w*j(q) + 2*k(q). Factor m(y).
3*y*(y - 1)
Find i such that 931 + 971 - 83*i - 2064 - i**2 = 0.
-81, -2
Let y(x) be the second derivative of x**7/42 - x**6/15 - 3*x**5/5 - 7*x**4/6 - 5*x**3/6 - 113*x - 1. Determine s so that y(s) = 0.
-1, 0, 5
Let u(c) be the third derivative of -c**8/13440 + c**7/1680 - c**6/480 - c**5/30 + 2*c**2. Let p(j) be the third derivative of u(j). Solve p(v) = 0.
1
Let a be (-7*(-5 - -6))/(-1 + -14). Let x(q) be the third derivative of a*q**5 + 6*q**3 + 5/2*q**4 + 0*q + 4*q**2 + 1/30*q**6 + 0. Find s, given that x(s) = 0.
-3, -1
Let b(p) be the third derivative of 0*p + 1/330*p**5 + 0*p**3 + 4*p**2 + 0 - 1/132*p**4. Find m such that b(m) = 0.
0, 1
Let v be -3*(250/15)/(-5). Determine s, given that 2*s**2 + 3*s**2 - 3 + 13 + v - 25*s = 0.
1, 4
Let v be (-4)/((-8)/26) + -1. Suppose -v = -4*p + u + 9, -5*p - 5*u + 45 = 0. Factor 24*g**3 + 3*g + p*g**4 + 3*g**5 - 6*g**3 - 5*g**4 + 12*g**2 + 11*g**4.
3*g*(g + 1)**4
Let t(o) be the third derivative of o**5/12 - 55*o**4/24 - 3*o**2. What is g in t(g) = 0?
0, 11
Factor -8*s**3 - 3746*s - 212*s**2 - 670*s - 2116 - 160*s**2.
-4*(s + 23)**2*(2*s + 1)
Let n be ((-1)/(-6))/((-6)/(-36)). Let z be (-3)/(-9)*n/(-2)*-3. Factor c**3 + 0*c - z*c**2 + 0 - 1/2*c**4.
-c**2*(c - 1)**2/2
Let q be ((-6)/14)/(47/(-329)). What is j in 15/2*j**2 + 2*j**4 + 7/2*j + 1/2 + 13/2*j**q = 0?
-1, -1/4
Let t be (-43)/3 - (1 - 5). Let x = t - -95/9. Factor 2/9*y + 0 - x*y**2.
-2*y*(y - 1)/9
Let k(b) be the first derivative of -b**6/15 - 36*b**5/25 - 117*b**4/10 - 216*b**3/5 - 324*b**2/5 + 347. Solve k(m) = 0 for m.
-6, -3, 0
Let f(w) be the third derivative of w**8/1176 + 23*w**7/735 + 163*w**6/420 + 361*w**5/210 + 80*w**4/21 + 100*w**3/21 + w**2 - 9*w. Factor f(q).
2*(q + 1)**3*(q + 10)**2/7
Factor -22/3 + 2/3*m**2 + 20/3*m.
2*(m - 1)*(m + 11)/3
What is a in 20*a**4 + 2*a**5 + 16*a**2 - 5695*a + 5695*a + 34*a**3 = 0?
-8, -1, 0
Let g(w) be the third derivative of -w**5/45 - 14*w**4 - 3528*w**3 - 232*w**2. Suppose g(d) = 0. Calculate d.
-126
Let d(h) be the first derivative of -h**5/30 + h**4/8 - h**3/18 - h**2/4 + h/3 + 36. Factor d(l).
-(l - 2)*(l - 1)**2*(l + 1)/6
Let c(n) be the second derivative of -n**6/150 + 9*n**5/100 + 11*n**4/60 - 3*n**3/10 - n**2 + 5*n + 46. Factor c(g).
-(g - 10)*(g - 1)*(g + 1)**2/5
Let a = 1318 + -1314. Let u(y) be the third derivative of 1/24*y**a + 0 - 1/9*y**3 - 2*y**2 + 0*y**5 + 0*y - 1/360*y**6. Factor u(o).
-(o - 1)**2*(o + 2)/3
Factor 3/5*n**3 + 0*n**2 - 3/5*n**4 + 0 + 0*n.
-3*n**3*(n - 1)/5
Suppose -61/2*z + 3721/2 + 1/8*z**2 = 0. What is z?
122
Let x(d) = -d**2 + 74*d - 209. Let f be x(71). Solve 2 - 2/7*o**f + 8/7*o**3 + 36/7*o**2 + 40/7*o = 0 for o.
-1, 7
Let j = -1171897 - -907048453/774. Let v = j - 1/258. Solve -10/9*c**4 + 20/9*c**3 - 20/9*c**2 - 2/9 + v*c**5 + 10/9*c = 0 for c.
1
Suppose 0 = -3*c + 2*k + 30, 4*k = 5*c - 73 + 23. Suppose c*v + 0 + 2*v + 4*v**2 + 0 = 0. What is v?
-3, 0
Let a = -135 - -137. Suppose 3*o - a*c - 4 - 4 = 0, 2*c + 8 = 2*o. Factor 2/5*z**2 + 0*z + o.
2*z**2/5
Let v be (2/(-16))/((-4)/24). Let c(w) = -11*w + 110. Let g be c(10). Suppose -v*f**2 + 1/4*f + 3/4*f**3 + g - 1/4*f**4 = 0. What is f?
0, 1
Let p(r) be the first derivative of 5*r**4/4 - 215*r**3/3 - 110*r**2 + 227. Factor 