(x) = 0 for x.
-33, 1
Let n be ((-15)/(-10))/((-9)/(-24)). Let f(u) be the second derivative of -1/6*u**2 + 5/36*u**3 + 0 - 1/18*u**n + 1/120*u**5 + u. Factor f(b).
(b - 2)*(b - 1)**2/6
Let o(i) = -227*i - 8. Let x be o(-3). Let a = -7397/11 + x. Factor a*v**3 + 0*v + 4/11*v**2 - 2/11*v**5 + 0 + 0*v**4.
-2*v**2*(v - 2)*(v + 1)**2/11
Let c(b) = -b**2 + 2*b + 3. Let j be c(2). Let q(k) be the first derivative of -1/3*k**j + 0*k**2 - 2 + 0*k. What is t in q(t) = 0?
0
Determine i so that 124*i**3 + 30 - 221 + 548*i - 4*i**4 - 25 + 86*i**2 + 0*i**4 - 538*i**2 = 0.
1, 2, 27
Let p = 26/15 + -152/105. Let g be (-11)/(-28) + 6/8. Factor -6/7 - p*x**2 + g*x.
-2*(x - 3)*(x - 1)/7
Let c(w) be the first derivative of -8*w**4 - 2/5*w**6 + 32*w**2 - 9*w - 16/5*w**5 + 1 + 0*w**3. Let y(l) be the first derivative of c(l). Factor y(k).
-4*(k + 2)**3*(3*k - 2)
Factor -2/3*k**3 - 298/3*k - 148/3 - 152/3*k**2.
-2*(k + 1)**2*(k + 74)/3
Let c(z) be the first derivative of 3*z**4/8 - 17*z**3/2 + 141*z**2/4 + 195*z/2 + 505. Find w such that c(w) = 0.
-1, 5, 13
Let k = -122905/906 + -3/302. Let y = k + 137. Factor y*r + 2/3 + 2/3*r**2.
2*(r + 1)**2/3
Let -15*d**3 + 11*d**2 - d**2 - 110*d**4 + 115*d**4 = 0. Calculate d.
0, 1, 2
Suppose 0 = -8*m + 4*m + 232. Let d = -58 + m. Factor 2/9*r**4 + 0 + d*r**2 + 0*r - 2/9*r**3.
2*r**3*(r - 1)/9
Determine d, given that -75/2*d**2 + 0 + 60*d**4 + 9*d + 27/2*d**3 = 0.
-1, 0, 3/8, 2/5
Let q = 1047 - 3127/3. Solve 4/9 + 86/9*b**3 - q*b**2 - 14/3*b**4 - 2/3*b = 0.
-2/7, 1/3, 1
Suppose -5*i + t = -21 - 30, -3*t + 27 = 3*i. Let g be i/(-2) - (13 - 21). Factor 1/2*b**4 + 3*b**2 + 1/2 + 2*b + 2*b**g.
(b + 1)**4/2
Let l = 198889/88396 - -1/44198. Determine j so that -1/4*j**2 - 3/2*j - l = 0.
-3
Let j = 3/475 - -4254/3325. Let l = -2/6315 - -18959/44205. Factor 6/7 - 3/7*b + l*b**3 - j*b**2 + 3/7*b**4.
3*(b - 1)**2*(b + 1)*(b + 2)/7
Let t(k) be the first derivative of 4/3*k**3 - 44 + 2*k**2 - 24*k. Solve t(f) = 0.
-3, 2
Let i = 48 - 477/10. Let t(z) be the third derivative of -9*z**3 + 1/60*z**6 + 0*z - i*z**5 + 0 - 5*z**2 + 9/4*z**4. Factor t(y).
2*(y - 3)**3
Let b(j) be the second derivative of -j**6/135 + j**5/10 - 5*j**4/9 + 44*j**3/27 - 8*j**2/3 + 261*j. Solve b(p) = 0.
2, 3
Suppose 3*t + 0*q + 5*q = 5, -4*t + 5*q + 65 = 0. Suppose -14 = -k - t. Factor -6/5*w**2 + 18/5*w - 2*w**3 - 2/5*w**k + 0.
-2*w*(w - 1)*(w + 3)**2/5
Let r(g) be the first derivative of 192/7*g + 3/28*g**4 + 12/7*g**3 - 7 + 72/7*g**2. Find z, given that r(z) = 0.
-4
Suppose -3*b + 17 = -2*g, 5*b = -3*g - 9 + 12. Solve 3/2*h**5 + 3/2 + 3/2*h**4 - 3*h**b + 3/2*h - 3*h**2 = 0 for h.
-1, 1
What is a in 8/3*a**4 + 8/3*a**3 + 2/3*a**5 - 4/3 - 10/3*a - 4/3*a**2 = 0?
-2, -1, 1
Let k = 660 + -658. Factor -8/7*g**k - 4/7 - 12/7*g.
-4*(g + 1)*(2*g + 1)/7
Factor 1092*h**2 - 7*h - 17*h - 15*h**3 - 469*h**2 - 525*h**2 + 7*h**3.
-2*h*(h - 12)*(4*h - 1)
Let m(q) be the first derivative of -q**7/42 + q**5/12 + 5*q**2/2 - 19. Let n(v) be the second derivative of m(v). Factor n(u).
-5*u**2*(u - 1)*(u + 1)
Find g such that 11*g**4 - 13*g**2 + 27*g**3 - 30*g + 8*g**2 + 5*g**4 - 11*g**4 + 3*g**3 = 0.
-6, -1, 0, 1
Let m(b) be the first derivative of -16*b**6/27 - 16*b**5/9 + 143*b**4/18 + 598*b**3/27 - 352*b**2/9 - 968*b/9 - 159. Suppose m(u) = 0. What is u?
-11/4, -1, 2
Let o be (48/28)/((-4)/(-14)). Let h(j) be the third derivative of -1/8*j**4 + 0 + 0*j - 1/20*j**5 + 1/40*j**o + 3*j**2 + 1/2*j**3. What is g in h(g) = 0?
-1, 1
Let k be (((-176)/32)/(-11))/1. What is v in 2*v - k*v**2 + 5/2 = 0?
-1, 5
Let k = -16970 - -16972. Find i such that 0*i**4 - 2/5*i**5 + 0*i**k + 0*i**3 + 0 + 0*i = 0.
0
Let s be (160/210)/(-8)*(-54)/4. Let p(f) be the first derivative of s*f + 6/7*f**2 + 7 + 1/7*f**3. Determine z so that p(z) = 0.
-3, -1
Suppose 0 = -2*s + 8, -b + 3*b + 4*s = 24. Let h(p) be the third derivative of 0*p + 2*p**2 + 1/150*p**5 - 1/15*p**3 + 0 + 0*p**b. What is u in h(u) = 0?
-1, 1
Suppose t + 18 = -2*z, 32 = -3*z - 2*t + 7. Let o = z - -15. Factor -r + o*r - r - r**2.
-r*(r - 2)
Let g = 399883 + -193543263/484. Let r = g - -3/121. Factor -1 + 2*v - 5/4*v**3 + 1/4*v**4 + r*v**5 - 1/4*v**2.
(v - 1)**3*(v + 2)**2/4
Let s(q) = q**3 - 63*q**2 - 1321*q - 9259. Let l(d) = 3*d**3 - 126*d**2 - 2641*d - 18517. Let g(b) = 2*l(b) - 5*s(b). Factor g(f).
(f + 21)**3
Solve 75*k**3 + 110*k + 1097*k**2 - 5*k**4 - 324 - 359*k**2 + 151*k + 846*k - 7*k**4 = 0.
-3, 1/4, 12
Let k(g) be the first derivative of -19 - 1/9*g**3 + 4/3*g - 1/4*g**4 + 2*g**2. Determine t so that k(t) = 0.
-2, -1/3, 2
Let p(z) be the second derivative of -27*z**5/40 - z**4/8 + 9*z**3/4 + 3*z**2/4 - 45*z + 1. Factor p(i).
-3*(i - 1)*(i + 1)*(9*i + 1)/2
Let b(q) be the first derivative of q**3/3 - 4*q**2 - 20*q - 192. Determine x, given that b(x) = 0.
-2, 10
Suppose -10 + 2 = s. Let v(w) = -w**4 + 19*w**3 - 10*w**2 - 8*w + 8. Let p(l) = -l**4 + 13*l**3 - 7*l**2 - 5*l + 5. Let j(y) = s*p(y) + 5*v(y). Factor j(h).
3*h**2*(h - 2)*(h - 1)
Let l be (-82)/(-66)*(-16)/(-16). Let i = l + -10/11. Factor d**3 + 1/3*d**5 - i*d**2 + 0 + 0*d - d**4.
d**2*(d - 1)**3/3
Let k(r) be the third derivative of -r**5/390 - 7*r**4/39 - 196*r**3/39 - 2*r**2 + 8. Solve k(g) = 0 for g.
-14
Let v be ((-8)/6)/((-700)/210). What is o in -2/5 - 6/5*o**2 - 6/5*o - v*o**3 = 0?
-1
Let l(b) = -b**2 + 7*b + 2. Let j(o) = o + 2. Let t be j(2). Let i be l(t). Factor i + 4*h**2 + 12*h - 17 + 11.
4*(h + 1)*(h + 2)
Suppose 0 = -s + 16*s - 660. Suppose 18*x - s = -8. Factor 3/7*t - 3/7*t**5 + 0 - 6/7*t**x + 6/7*t**4 + 0*t**3.
-3*t*(t - 1)**3*(t + 1)/7
Suppose 350*r = 359*r - 27. Let c(m) be the second derivative of -2*m + 0 - 1/25*m**6 - 1/50*m**5 + 0*m**4 + 0*m**2 + 0*m**r. Solve c(j) = 0.
-1/3, 0
Suppose 0 = -2*i - 4*l + 30, 4*l = 3*i + 1 + 4. Factor -5*o + 3*o + i*o**2 + 8*o.
o*(5*o + 6)
Suppose 0*q = -4*q + 2428. Factor -f**2 - 3*f**2 + 577 - 25*f - f**2 - q.
-5*(f + 2)*(f + 3)
Let i = 46 - 21. Suppose 7*s**3 + i*s + 34 - 24 - 2*s**3 + 20*s**2 = 0. Calculate s.
-2, -1
What is v in 0*v + 4*v**4 + 0 + 2/3*v**5 - 20/3*v**2 + 2*v**3 = 0?
-5, -2, 0, 1
Let c(s) be the first derivative of s**6/7 - 4*s**5/5 + 10*s**4/7 - 16*s**3/21 - 53. Suppose c(v) = 0. Calculate v.
0, 2/3, 2
Suppose 0 = -9*b + 173 + 151. Let u be -4 + 6 + b/(-20). Factor 0*y - 3/5*y**3 - 3/5*y**4 + 0 - 1/5*y**5 - u*y**2.
-y**2*(y + 1)**3/5
Let b be 2 - (2 + -74)/4. Suppose -r - 63*r**5 + 58*r**5 - 4*r - 10 - 10*r**4 + b*r**2 + 10*r**3 = 0. What is r?
-2, -1, 1
Factor -28*k + 80*k - 938*k**2 + 942*k**2 + 168.
4*(k + 6)*(k + 7)
Let v(o) be the third derivative of -o**7/7560 + o**6/540 - o**5/120 - o**4/24 + 22*o**2. Let x(t) be the second derivative of v(t). Solve x(d) = 0 for d.
1, 3
Let s(m) be the second derivative of -3*m**5/20 + m**4/4 + 25*m**3/2 - 75*m**2/2 - 2*m - 109. Let s(l) = 0. Calculate l.
-5, 1, 5
Let i(m) be the first derivative of -4*m**3/3 + 88*m**2 + 368*m + 367. Factor i(p).
-4*(p - 46)*(p + 2)
Let q(d) = -8*d**3 + 4*d**2 - 2*d - 2. Let n(r) = r**4 + 9*r**3 - 3*r**2 + 2*r + 3. Let o(a) = -2*n(a) - 3*q(a). Factor o(z).
-2*z*(z - 1)**3
Let h = 6/407 - -377/2035. Determine m so that -1/5*m**3 + 2/5*m - 3/5*m**2 + 0 - h*m**5 + 3/5*m**4 = 0.
-1, 0, 1, 2
Let y = 408/5 - 163/2. Let l(b) be the second derivative of 3/10*b**2 + 0 + 0*b**3 - y*b**4 + 0*b**5 + 1/50*b**6 - 3*b. Determine r so that l(r) = 0.
-1, 1
Let t(d) = -2*d**2 - d + 1. Let y(o) = -2*o**3 - 104*o**2 - 2161*o - 13723. Let p(n) = -5*t(n) - y(n). Solve p(a) = 0.
-19
Let x(s) = 2*s**2 - 8*s - 9. Let c(a) = a**2 - 7*a - 8. Let n = -30 - -26. Let g(o) = n*x(o) + 6*c(o). Factor g(d).
-2*(d + 2)*(d + 3)
Let v be 38/((-6080)/60)*4/(-6). What is q in 7/4*q**2 - v*q**5 - 3/2*q + 0 - 3/4*q**4 + 3/4*q**3 = 0?
-3, -2, 0, 1
Let j be (-28)/21*(-27)/6. Determine u, given that -37*u**2 + 20*u**3 - j - 39 + 12*u**2 - 90*u = 0.
-1, -3/4, 3
Suppose -k - 5*h = -2*h - 3, 0 = 5*k - 4*h + 4. Suppose 1/3*f**4 + k - 2/3*f**3 - 1/3*f**2 + 2/3*f = 0. What is f?
-1, 0, 1, 2
Let j(w) = -w**2 - 16*w - 15. Let f be j(-15). Suppose 2 = i - f. Factor i*h**4 - 2 + 3*h**3 - 6*h**2 + h**3 - 2*h**3 - 2*h + 6.
2*(h - 1)**2*(h + 1)*(h + 2)
Let o(m) = -m**3 - 3*m**2 + 26*m - 11. Let z be o(-7). Let 4/11*t**z + 0*t + 0 + 2/11*t**4 + 2/11*t**2 = 0. Calculate t.
-1,