 t**5 - 3*t**4.
-t*(t - 1)*(t + 1)**2*(t + 2)
Let c(s) = -4*s**3 - 212*s**2 + 464*s - 248. Let i(x) = -x**3 - 72*x**2 + 155*x - 82. Let b(u) = 2*c(u) - 7*i(u). Determine k so that b(k) = 0.
1, 78
Let n(g) = 122*g**3 + 153*g**2 + 57*g + 8. Let u(p) = 245*p**3 + 305*p**2 + 115*p + 16. Suppose -c + 134 = 131. Let a(s) = c*u(s) - 5*n(s). Factor a(x).
(5*x + 2)**3
Let k(i) be the first derivative of -20/3*i**3 - 6 + i**4 - 12*i + 14*i**2. Let k(q) = 0. Calculate q.
1, 3
Let c(s) be the second derivative of -2*s**6/15 - 24*s**5/5 - 88*s**4/3 + 448*s**3 - 1568*s**2 + 138*s + 1. What is r in c(r) = 0?
-14, 2
Suppose -112*m - 56*m - 48*m**3 - 6269*m**4 - 162*m**2 + 6272*m**4 - 57 = 0. Calculate m.
-1, 19
Factor -39*z + 95*z + 4900 + 224*z + 4*z**2.
4*(z + 35)**2
Let -4/3*i - 2/3*i**2 + 2 = 0. Calculate i.
-3, 1
Let p(n) be the second derivative of 2*n**7/49 - 2*n**6/21 - n**5/35 + 5*n**4/21 - 4*n**3/21 - 7*n - 6. Find k such that p(k) = 0.
-1, 0, 2/3, 1
Let g(n) = n**2 + 3*n + 1. Let r be g(-3). Let z be 10/(-2) + r - -5. Factor 0 - 3*b**2 - 1 + z - 6*b - 3.
-3*(b + 1)**2
Let h = -23043 - -23045. Factor -7/6*t + t**h + 1/6.
(t - 1)*(6*t - 1)/6
Let v(l) be the first derivative of l**6/1080 + l**5/360 - l**4/6 + 19*l**3/3 - 12. Let z(i) be the third derivative of v(i). Factor z(k).
(k - 3)*(k + 4)/3
Let o(j) = 11*j + 145. Let i be (-2 - (-2 - (-4)/12))*39. Let f be o(i). Factor 0 + 1/6*y**3 + 1/6*y - 1/3*y**f.
y*(y - 1)**2/6
Let b be (-55)/33 + (-33)/(-9). Solve 0*h - 1/6*h**b + 2/3 = 0 for h.
-2, 2
Let q(g) be the second derivative of -7*g + 10/3*g**3 + 0 - 5/12*g**4 - 15/2*g**2. Factor q(n).
-5*(n - 3)*(n - 1)
Let m(y) be the first derivative of -y**3 - 6*y**2 - 9*y + 314. Determine p so that m(p) = 0.
-3, -1
Let o(n) = -n + 7. Let v be o(10). Let r be 3/(-2)*2/v. Factor 0*g**2 + g**2 - r - g**2 - g**2 + 2*g.
-(g - 1)**2
Let x be -4*(5/4)/(-1). Suppose 4*o = -2*i + o + 25, 4*i - x*o = 17. Factor 18*s**4 - s**4 - 19*s**5 + 7*s**5 + 3*s**4 + i*s**3.
-4*s**3*(s - 2)*(3*s + 1)
Let s = 52/451 - -30/451. Factor -s*c**2 + 2/11 + 0*c.
-2*(c - 1)*(c + 1)/11
Let w(m) be the third derivative of -m**5/120 - m**4/24 - m**3/12 + 28*m**2. Find o such that w(o) = 0.
-1
Let p(l) be the first derivative of 0*l**2 - 1/15*l**6 + 3 + 5*l + 0*l**3 + 0*l**4 - 1/5*l**5. Let k(n) be the first derivative of p(n). Factor k(z).
-2*z**3*(z + 2)
Let n(s) be the second derivative of 0*s**4 - 1/6*s**3 - 13*s - 1/900*s**6 + 0*s**2 + 0 - 1/100*s**5. Let q(a) be the second derivative of n(a). Factor q(h).
-2*h*(h + 3)/5
Let r = -33 + 35. Factor r - 13*d + 29*d**3 + d**2 + 19*d**2 + 24*d**3 - 62*d**3.
-(d - 1)**2*(9*d - 2)
Suppose 0 = 5*i + 2*v - 0*v, -5*i - v = 0. Let o be i - (4/(-18) - (-10)/(-36)). Factor 1/2*l**4 - o*l**3 + 1/2*l + 0 - 1/2*l**2.
l*(l - 1)**2*(l + 1)/2
Let z = -8 + 2. Let t be 0/(-2)*2/z. Factor 2*j**4 + j**5 - j**2 - j**3 + t*j**5 - j**4.
j**2*(j - 1)*(j + 1)**2
Let n = 4 - 0. Suppose 3*t = -2*l - 2, n*t - 2 = 2*l - 0. Let 4*v - 3*v + 3*v**3 - v**4 + t*v - 2*v**2 - v**2 = 0. Calculate v.
0, 1
Let f(c) = 2*c**4 - 8*c**3 + 6*c. Let d(o) = -2*o**3 + 0*o**3 + 19*o**2 + o**3 - 18*o**2. Let l(u) = -10*d(u) + f(u). Factor l(j).
2*j*(j - 1)**2*(j + 3)
Suppose -6 - 70 = -4*n. Let c = n + -17. Suppose -2*g**4 - 2*g + 14*g**2 + 0*g**4 - 12*g**c + g**3 + g**3 = 0. What is g?
-1, 0, 1
Determine q, given that -3*q**2 + 13*q + 1/4*q**4 - 12 - 3/4*q**3 = 0.
-4, 2, 3
Suppose -3*s = -2*c + 2 - 9, 4*s - 8 = 2*c. Let z = c - -5. Factor -3*g**3 - 26*g - 6*g**2 + 26*g + z*g**4.
3*g**2*(g - 2)*(g + 1)
Factor 0 + 18/7*u + 12/7*u**2 - 6/7*u**3.
-6*u*(u - 3)*(u + 1)/7
Let d(f) be the third derivative of f**5/100 + f**4/8 - 74*f**2 + 2*f. Factor d(b).
3*b*(b + 5)/5
Let b be 40/18 - 8/36. Solve 15*u**4 - 15*u**b - 7 + 7 + 3*u**5 - 25*u**3 + 22*u**3 = 0.
-5, -1, 0, 1
Let d be (-24)/(-70) - (24/21 + -1). Let -2/5*c + d*c**2 + 0 = 0. What is c?
0, 2
Suppose 0 = -118*m + 124*m - 48. Let a be 2/m + 244/48. Suppose -50/3*s**4 - 88/3*s**2 + 140/3*s**3 + 0 + a*s = 0. What is s?
0, 2/5, 2
Let s(b) be the second derivative of 5*b**7/42 + 13*b**6/2 + 159*b**5/2 - 2995*b**4/6 + 2135*b**3/2 - 2205*b**2/2 + 50*b. Factor s(i).
5*(i - 1)**3*(i + 21)**2
Suppose 2*h + 2*m - 10 = 0, 0 = 5*h - 5*m + m - 16. Let r be 2*(-1)/((-14)/h). Factor -r + 3/7*k**2 + 4/7*k.
(k + 2)*(3*k - 2)/7
Let o(k) be the second derivative of -k**6/90 + 4*k**5/15 - 7*k**4/4 - 8*k**3/9 + 32*k**2/3 - 34*k. Factor o(n).
-(n - 8)**2*(n - 1)*(n + 1)/3
Let p(k) = -8 - 5*k**2 + 4*k**2 - 10 - 8*k. Let y(j) = -4 + 6 + 1 - 4. Let i(z) = -2*p(z) + 4*y(z). Factor i(u).
2*(u + 4)**2
Solve -64 + 2*q**2 + 48*q + 6628*q**3 - 2*q**2 - 6632*q**3 = 0 for q.
-4, 2
Let g be -2*(1 + (-3 - -1)). Solve -5*n + 4*n + 4*n - 2*n**g - 5*n = 0.
-1, 0
Let n be (-2*(-12)/(-2))/((-1071)/306). Solve -n - 6/7*q + 3/7*q**2 = 0.
-2, 4
Factor 8/3*d - 2 - 2/3*d**2.
-2*(d - 3)*(d - 1)/3
Factor -3/5*c**2 + 12/5*c + 12/5 - 3/5*c**3.
-3*(c - 2)*(c + 1)*(c + 2)/5
Let o = 277 - 272. Let n(y) be the second derivative of 0 + 0*y**4 + 0*y**2 + 0*y**5 + 1/42*y**7 - o*y + 0*y**3 - 1/30*y**6. Factor n(s).
s**4*(s - 1)
Factor -416*x**2 + 413*x**2 - 1 + 1 + 3*x.
-3*x*(x - 1)
Let h(i) be the third derivative of -i**6/60 + 2*i**5/15 - i**4/3 - 14*i**2 - 21. Factor h(y).
-2*y*(y - 2)**2
Let d(i) = -122*i**4 + 446*i**3 + 390*i**2 - 110*i. Let o(a) = -41*a**4 + 149*a**3 + 130*a**2 - 36*a. Let h(z) = -6*d(z) + 17*o(z). Suppose h(u) = 0. What is u?
-1, 0, 2/7, 24/5
Let m(x) = -x**3 - 13*x**2 - x - 8. Let p = -127 + 114. Let t be m(p). Factor 0*q**2 + 1/3*q**t + 0*q**4 + 1/3*q + 0 - 2/3*q**3.
q*(q - 1)**2*(q + 1)**2/3
Suppose 0 = -2*i + 1 + 3. Factor -2*v**2 + 8*v + 14*v**4 + 11*v**2 + 6*v**4 + 19*v**i + 36*v**3 + 4*v**5.
4*v*(v + 1)**3*(v + 2)
Let n(f) be the first derivative of -1/420*f**5 + 0*f - 1/168*f**4 - 3*f**2 + 0*f**3 + 6. Let w(v) be the second derivative of n(v). Solve w(u) = 0.
-1, 0
Let t(i) be the third derivative of 16*i**7/735 - 2*i**6/35 + 3*i**5/70 - 3*i**2 - 8. Factor t(u).
2*u**2*(4*u - 3)**2/7
Let l(k) be the third derivative of -3/8*k**4 + 1/4*k**5 + 0*k + 0*k**3 + 4*k**2 + 3/70*k**7 + 0 + 11/40*k**6. What is w in l(w) = 0?
-3, -1, 0, 1/3
Let v be (-1)/((-3)/(-9)) - -6. Let s = 2 + v. Solve 2*d**2 - 3*d - d + 4 - s*d**2 + 4*d**2 = 0.
2
Suppose -12*f + 7*f = -4*y - 6, 11 = 3*f + 5*y. Determine b, given that 5*b**f - 22*b + 4*b + 8*b = 0.
0, 2
Let y(m) be the first derivative of m**4/18 - 2*m**3/27 - 2*m**2/3 - 94. Factor y(u).
2*u*(u - 3)*(u + 2)/9
Let q be -2 + 28/15 - (-1872)/540. Find j such that -8/3 + 34/3*j**2 + 46/3*j**4 + 8/3*j - 70/3*j**3 - q*j**5 = 0.
-2/5, 1, 2
Let m be 10/14*5088/795. Let -8/7*l**2 + 0*l + m*l**3 - 2*l**4 + 0 = 0. Calculate l.
0, 2/7, 2
Let h = -8 - -1. Let q be h/((-4 - -5)*-1). Solve f**2 - q*f - f**4 - f**5 + f**3 + 7*f = 0 for f.
-1, 0, 1
Let t = -10 - -21. Determine a, given that -20*a + 3*a**2 + 48 + t*a - 15*a = 0.
4
Let z(u) be the second derivative of -u**8/4480 + u**7/1680 + u**6/240 - 2*u**4 + 17*u. Let h(s) be the third derivative of z(s). Factor h(q).
-3*q*(q - 2)*(q + 1)/2
Suppose 5*b - 6*b = -20. Let w = -16 + b. Factor 0*l**4 + l**2 - 5*l**4 - 2*l**3 + 6*l**w.
l**2*(l - 1)**2
Find b, given that -2/3*b**2 + 7/3*b**3 + 4/3*b**4 + 0 + 0*b = 0.
-2, 0, 1/4
Suppose -4 = 29*f - 31*f. Suppose 0*k - 6*k**f - 4 + 3*k**2 + 7*k**2 + 4*k**3 - 4*k = 0. What is k?
-1, 1
Let n(k) be the third derivative of k**7/1470 + k**6/504 - k**5/420 - k**4/24 - k**2. Let o(b) be the second derivative of n(b). Factor o(a).
2*(a + 1)*(6*a - 1)/7
What is j in 36*j + 31*j**2 + 39*j**2 + 29*j**2 + 28*j - 101*j**2 = 0?
0, 32
Let m(k) be the third derivative of 0*k**4 - 1/1260*k**7 + 0*k**3 - 1/360*k**5 + 4*k**2 + 0 + 0*k - 1/360*k**6. Factor m(t).
-t**2*(t + 1)**2/6
Let s(j) be the third derivative of j**6/660 - j**5/165 - j**4/132 + 2*j**3/33 - 80*j**2. Factor s(k).
2*(k - 2)*(k - 1)*(k + 1)/11
Solve -12*w - 2696 + 4*w**2 + 2696 = 0.
0, 3
Let m(n) be the second derivative of n**7/630 - n**5/30 - 2*n**4/3 - 4*n. Let b(y) be the third derivative of m(y). Factor b(c).
4*(c - 1)*(c + 1)
Let j(d) be the second derivative of -d**6/35 + d**5/10 + 19*d**4/42 + 5*d**3/21 - 4*d**2/7 - 4*d + 12. Find o such that j(o) = 0.
-1, 1/3, 4
Suppose 2/13*r**2 + 0*r - 6/13*r**3 