
-1, 0, 12
Let t(u) be the first derivative of -3*u**2 - 2*u + 10. Let m(l) = l**2 + 1. Let j(q) = -2*m(q) + t(q). Factor j(p).
-2*(p + 1)*(p + 2)
Let t be 2/9 + (-101)/9. Let v = -7 - t. Factor 7*y + 3 - 5*y + v*y + 3*y**2.
3*(y + 1)**2
Let q(l) be the first derivative of 13/4*l**3 + 26 - 3*l**4 + 3/4*l**5 + 0*l - 3/4*l**2. Suppose q(p) = 0. What is p?
0, 1/5, 1, 2
Let j(g) be the third derivative of -g**8/336 - g**7/70 + g**6/30 - 10*g**2. Factor j(l).
-l**3*(l - 1)*(l + 4)
Suppose -1/2*n**2 + n + 0 = 0. What is n?
0, 2
Let y be 6 - 2 - -2 - 1070/(-35). Suppose y*o**2 + 32/7*o - 18*o**4 - 32/7 + 120/7*o**3 = 0. What is o?
-2/3, 2/7, 2
Let l(z) = 2*z**2 + 28*z - 82. Let y(f) = 8*f**2 + 111*f - 335. Let c(j) = 18*l(j) - 4*y(j). Determine g, given that c(g) = 0.
-17, 2
Let y = 10 + -7. Find f such that 6*f - 63*f**2 - 57*f**5 + 29*f**4 - 11*f**4 + 51*f**y + 45*f**4 = 0.
-1, 0, 2/19, 1
Suppose 5 = -2*f - 0*j + j, 2*f + 41 = 5*j. Find x such that 4/3 - x - 1/3*x**f = 0.
-4, 1
Solve -8*k**2 + 1887*k**5 - 212*k**2 - 1892*k**5 + 120*k + 110*k**3 - 5*k**4 = 0 for k.
-6, 0, 1, 2
Let n(r) = 3*r**3 + 21*r**2 - r - 7. Let b be n(-7). Let u(i) be the second derivative of 1/2*i**2 - 1/12*i**4 - 1/6*i**3 + 1/20*i**5 - 6*i + b. Factor u(g).
(g - 1)**2*(g + 1)
Let r(c) be the third derivative of 0 + 0*c - 1/90*c**7 + 0*c**3 - 1/90*c**5 + 43*c**2 + 1/40*c**6 + 0*c**4. Determine s, given that r(s) = 0.
0, 2/7, 1
Suppose t - 2 = 2. Let r be (-1 - 2) + 24/t. Factor 0*x**2 + 25*x**3 + 3*x**2 - 4*x**r + 15*x**4 + 3*x**2.
3*x**2*(x + 1)*(5*x + 2)
Suppose 0 = 1081*l - 1085*l + 8. Factor 4/19*u**3 + 0 + 0*u**l + 0*u**4 - 2/19*u - 2/19*u**5.
-2*u*(u - 1)**2*(u + 1)**2/19
Let q = 40/183 + 7/61. Let m(t) be the first derivative of 0*t**4 - 3 + 0*t + 0*t**2 + q*t**3 - 1/5*t**5. Find i, given that m(i) = 0.
-1, 0, 1
Let h(k) = 8*k**3 - 89*k**2 + 50*k + 7. Let z(l) = 3*l**3 - 30*l**2 + 16*l + 2. Let j(v) = -2*h(v) + 7*z(v). Factor j(s).
s*(s - 6)*(5*s - 2)
Let r(c) be the first derivative of 10*c + 4*c**3 + 21/2*c**2 + 20 + 1/4*c**4. Factor r(x).
(x + 1)**2*(x + 10)
Suppose 0 = -4*h + 12, -3*h + 375 - 98 = 2*b. Factor 2*a**4 + a**4 - 2*a**3 + b*a**5 - 135*a**5.
-a**3*(a - 2)*(a - 1)
Let u(m) be the first derivative of -m**5/15 - 3*m**4/4 + m**3/9 + 3*m**2/2 - 28. Solve u(z) = 0.
-9, -1, 0, 1
Let c = 49/1635 - -4/109. Let h(b) be the second derivative of 6*b - 1/90*b**4 + c*b**2 + 0*b**3 + 0. Factor h(z).
-2*(z - 1)*(z + 1)/15
Let f(t) be the second derivative of t**4/8 + 7*t**3/4 - 7*t - 3. Factor f(r).
3*r*(r + 7)/2
Factor 105 + 324*o**2 + 37253*o + 0*o**4 - 114*o**3 + 3*o**4 - 37571*o.
3*(o - 35)*(o - 1)**3
Let i(r) = r**2 - 9. Let o be i(-3). Let -4*g**2 + 3*g - 6*g + 8 + o*g - g = 0. Calculate g.
-2, 1
Suppose -5*s = -3*o - 0*s + 60, -o - 2*s = -20. What is i in 6 - 5*i**2 + o*i + 10 - 16 = 0?
0, 4
Let s(v) be the third derivative of -v**7/735 - v**6/30 - 12*v**5/35 - 40*v**4/21 - 128*v**3/21 + v**2 + 21*v. Factor s(w).
-2*(w + 2)*(w + 4)**3/7
Let p be (-4 - (-4 - 4))*1. Factor -p*w**2 - 23 - 1 - 16*w + 9 - 1.
-4*(w + 2)**2
Let i(j) = 2*j**4 - 2*j**3 - j. Let g(a) = -a**5 + 8*a**4 - 69*a**3 + 98*a**2 + 4*a. Let d(b) = g(b) + 4*i(b). Let d(m) = 0. Calculate m.
0, 2, 7
Let u(z) = -z**3 + 10*z + 3. Let m be u(-3). Suppose m = l - 3*l. Solve -3/4*d**4 + d**2 + l + 0*d + 0*d**3 + 1/4*d**5 = 0 for d.
-1, 0, 2
Let v(x) = x**4 - x**3 - x**2 - 1. Let h(i) = -10*i**4 + 20*i**3 + 50*i**2 + 25*i + 5. Let c(b) = h(b) + 5*v(b). Factor c(y).
-5*y*(y - 5)*(y + 1)**2
Let c(m) be the third derivative of -m**5/360 + m**4 + 7*m**2 - 10*m. Factor c(q).
-q*(q - 144)/6
Let l be 11*(3 - (4 + -4)). Let q be 88/l - (-4)/(-6)*3. Factor 0*i**2 - 2/3*i**5 + 0*i + 0 + q*i**4 + 0*i**3.
-2*i**4*(i - 1)/3
Find j, given that 154/9*j**3 - 10/3*j**4 - 20/3*j + 2/9*j**5 + 400/9 - 274/9*j**2 = 0.
-1, 2, 4, 5
Let n(c) be the first derivative of -c**7/252 - c**6/180 + 7*c - 8. Let h(m) be the first derivative of n(m). Factor h(w).
-w**4*(w + 1)/6
Let i(n) be the third derivative of -n**7/42 - 11*n**6/24 - 7*n**5/2 - 40*n**4/3 - 80*n**3/3 + 111*n**2. Let i(x) = 0. Calculate x.
-4, -2, -1
Let x(m) be the second derivative of m**4/18 + 8*m**3/3 - 52*m**2/3 + 158*m. Let x(z) = 0. What is z?
-26, 2
Let z(h) be the second derivative of 5*h**7/42 - h**6/2 - 5*h**5/4 + 25*h**4/4 + 10*h**3/3 - 30*h**2 - 4*h + 57. Find r such that z(r) = 0.
-2, -1, 1, 2, 3
Suppose 10*s - 5 = 9*s. Factor -142*v - 53*v**5 + 216 - 278*v**3 + 138*v**4 - 90*v**2 + 574*v + 35*v**s.
-2*(v - 3)**3*(3*v + 2)**2
Let o = -1 - -3. Suppose b + 2*t = -0*b + 5, -4*b + t + 20 = 0. Factor -4*l**3 - l + 10*l**4 - 3*l + o + 6*l**b + 2*l - 12*l**2.
2*(l - 1)*(l + 1)**3*(3*l - 1)
Let p = 35/69 - 4/23. Let t(q) be the first derivative of 0*q - 1/8*q**4 + 0*q**2 - p*q**3 + 2. Determine l, given that t(l) = 0.
-2, 0
Let t = -15 + 19. Factor 2*k**2 + 13*k**t - 6*k**4 + 3*k**3 - 6*k**4.
k**2*(k + 1)*(k + 2)
Let c = -317 - -321. Let v(h) be the third derivative of -1/120*h**6 - 1/6*h**3 + 0*h + 1/60*h**5 + 0 - c*h**2 + 1/24*h**4. Solve v(z) = 0.
-1, 1
Let o(t) be the third derivative of t**5/135 + 71*t**4/108 + 35*t**3/27 - 368*t**2. Solve o(a) = 0 for a.
-35, -1/2
Determine z so that 12*z**3 - 88*z**2 + 150*z**2 - 14*z**4 - 44*z**3 + 24 - 12*z + 116*z = 0.
-3, -1, -2/7, 2
Let v be (-4)/(-2) + 1 + -3. Suppose -5*j + 5 + 5 = v. Factor 8*t - 4 - j*t + 0*t**2 - 2*t**2 - 2*t**4 + 8 - 6*t**3.
-2*(t - 1)*(t + 1)**2*(t + 2)
Let p(g) be the second derivative of 0 + 0*g**2 - 3/20*g**6 + 14*g + 0*g**3 - 3/20*g**5 - 1/24*g**4. Determine x, given that p(x) = 0.
-1/3, 0
Let l = -151 + 153. Factor -4 + 9*p**3 - 3*p**3 - 8*p - 8*p**4 + l*p**3 + 12*p**4.
4*(p - 1)*(p + 1)**3
Let x be (-1)/2*(-127 - -109). Let m(i) be the third derivative of 0*i**5 + 0*i**3 + 0*i - x*i**2 - 1/60*i**6 + 1/12*i**4 + 0. Factor m(y).
-2*y*(y - 1)*(y + 1)
Let j(f) = -f**3 + 12*f**2 + 22*f - 115. Let s be j(13). Factor 6/7*d**3 + 0 - 2/7*d**s + 2/7*d**5 + 0*d - 6/7*d**4.
2*d**2*(d - 1)**3/7
Let s(m) be the first derivative of -18 + 3/2*m - 7/4*m**2 + 5/6*m**3 - 1/8*m**4. Factor s(o).
-(o - 3)*(o - 1)**2/2
Suppose 441*c = 443*c + 46. Let a = c - -25. Factor 0*r**3 - 1/6*r**4 + 0*r + 1/6*r**a + 0.
-r**2*(r - 1)*(r + 1)/6
Let o(d) be the second derivative of -13*d**6/270 - 41*d**5/180 - 5*d**4/12 - 19*d**3/54 - d**2/9 - 811*d. Solve o(g) = 0 for g.
-1, -2/13
Let h(l) = -15*l**4 + 624*l**3 - 1231*l**2 + 601*l - 14. Let m(i) = -8*i**4 + 312*i**3 - 616*i**2 + 300*i - 8. Let x(d) = -4*h(d) + 7*m(d). Factor x(g).
4*g*(g - 76)*(g - 1)**2
Let g be (2/5)/(15*15/1125). Factor 18/23*l + 0 + 2/23*l**g.
2*l*(l + 9)/23
Let f be 781/(-88) - (0 - 9). Let l(r) be the first derivative of 0*r**3 + 3/8*r**4 + 1 + f*r**6 + 0*r + 9/20*r**5 + 0*r**2. Factor l(j).
3*j**3*(j + 1)*(j + 2)/4
Factor 2*k**2 + 173*k**3 + 9*k - 174*k**3 - 10*k**2.
-k*(k - 1)*(k + 9)
Let -2/7*j**3 - 2*j - 2*j**2 + 30/7 = 0. What is j?
-5, -3, 1
Let f(p) be the first derivative of -p**6/270 - p**5/90 + p**4/9 - 8*p**3/3 - 13. Let o(q) be the third derivative of f(q). Factor o(d).
-4*(d - 1)*(d + 2)/3
Factor -107*p**2 + p**3 + 72 + 256*p**2 + 96*p - 123*p**2 + p**3.
2*(p + 1)*(p + 6)**2
Let j be (19/2 + -5)/(2/4). Let i(z) be the second derivative of -13/18*z**4 - 1/45*z**6 - 4/3*z**3 - 4/3*z**2 - 1/5*z**5 - j*z + 0. Factor i(o).
-2*(o + 1)**2*(o + 2)**2/3
Let -102/7*r**3 + 26/7*r**4 + 0 - 20/7*r + 86/7*r**2 + 10/7*r**5 = 0. Calculate r.
-5, 0, 2/5, 1
Let n(q) be the second derivative of 0*q**2 + 32*q + 0*q**3 + 0*q**4 + 3/140*q**5 + 0 - 1/210*q**6. Find i such that n(i) = 0.
0, 3
Suppose 2*y = -3*b + 23, 1 = b - y - 5. Factor -p**2 - 10*p**2 + 0*p**2 + b*p**2.
-4*p**2
Let u = 378 - 375. Let r(b) be the third derivative of 1/630*b**7 + 7*b**2 + 1/36*b**4 + 0 + 0*b - 1/18*b**u - 1/180*b**6 + 0*b**5. Suppose r(f) = 0. What is f?
-1, 1
Let u(q) be the third derivative of q**6/40 + 6*q**5/5 - 51*q**4/8 + 13*q**3 + 224*q**2. Factor u(f).
3*(f - 1)**2*(f + 26)
Suppose 48 = -22*d + 34*d. Let j(h) be the first derivative of 1/8*h**2 - 1/4*h**3 + 0*h + d. Solve j(l) = 0 for l.
0, 1/3
Suppose 5*i - 3*q = -18, -26*q + 6 = i - 25*q. Solve 0*l**2 - l**5 + 0 + i*l + 1/4*l**3 + 3/4*l**4 = 0.
-1/4, 0, 1
Let f(t) be the second derivative of 0*t**3 + 0*t**2 + 3*t + 