, 0
Factor 14*s - 35*s**2 + 11*s - 9*s - s.
-5*s*(7*s - 3)
Let n(h) be the third derivative of 0*h - 1/84*h**4 + 0*h**3 - 1/105*h**5 - 22*h**2 - 1/420*h**6 + 0. Factor n(i).
-2*i*(i + 1)**2/7
Let d(q) be the third derivative of q**7/1995 - q**6/570 - 4*q**5/285 - 144*q**2. Factor d(o).
2*o**2*(o - 4)*(o + 2)/19
What is c in -16*c - 56*c + 36*c**2 + 99*c + 6 + 15*c**3 = 0?
-1, -2/5
Suppose 3*m - 10 = 4*s, 4*m - 11 = -s - 4. Let b be -2 + 36/27 + m/3. Factor 0 + b*r + 2/5*r**2 - 2/5*r**3.
-2*r**2*(r - 1)/5
Factor -7/9*g - 2/9 + g**2.
(g - 1)*(9*g + 2)/9
Let z = -15 - -17. Suppose -5*x + 13 = -z. Factor -2*g**3 - 5*g**4 - 7*g**x + 11*g**3 + 5*g**2 - 7*g**3 + 5*g**5.
5*g**2*(g - 1)**2*(g + 1)
Factor -3/4*b - 27/4*b**3 - 15/4*b**2 + 0 - 3/2*b**5 - 21/4*b**4.
-3*b*(b + 1)**3*(2*b + 1)/4
Suppose 38 + 31 = 86*l - 103. Suppose 1/3*p**4 - 4/3*p + 0 - 5/3*p**3 + 8/3*p**l = 0. What is p?
0, 1, 2
Suppose -18*c + 129 - 39 = 0. Let p(k) be the first derivative of 0*k**2 + 4 + 2/5*k**c + 0*k + 1/2*k**4 - 4/3*k**3. Suppose p(j) = 0. What is j?
-2, 0, 1
Let q(j) be the first derivative of j**3 + 57*j**2/5 - 48*j/5 + 103. Suppose q(w) = 0. Calculate w.
-8, 2/5
Factor 10/3*p**3 + 0 + 28/9*p**2 + 8/9*p + p**4.
p*(p + 2)*(3*p + 2)**2/9
Let b(v) be the third derivative of 1/735*v**7 + 0*v - 1/210*v**5 - 16*v**2 + 0*v**6 - 1/168*v**4 + 1/2352*v**8 + 0*v**3 + 0. Solve b(h) = 0 for h.
-1, 0, 1
Let f(s) be the second derivative of -1/30*s**6 - 1/84*s**7 - 9*s + 1/12*s**3 + 0*s**5 + 1/12*s**4 + 0*s**2 + 0. Factor f(y).
-y*(y - 1)*(y + 1)**3/2
Let a(l) be the third derivative of -l**5/390 + 7*l**4/156 - 10*l**3/39 + 94*l**2. Find f such that a(f) = 0.
2, 5
Let n(g) be the third derivative of -2*g**7/105 - g**6/30 + g**5/15 + g**4/6 + 4*g**2 + 1. Find b such that n(b) = 0.
-1, 0, 1
Suppose -3/7*j**3 + 0*j - 2/7*j**2 + 0 - 1/7*j**4 = 0. Calculate j.
-2, -1, 0
Let d = -119/15 + 43/5. Let r(k) be the first derivative of 5 + k**2 + d*k**3 - 2*k - 1/2*k**4. Factor r(f).
-2*(f - 1)**2*(f + 1)
Let j = 95 + -91. Factor -51*o**2 - 6*o**j - 4*o + 57*o**2 - 4*o**3 + 6*o**3 + 2*o**5.
2*o*(o - 2)*(o - 1)**2*(o + 1)
Solve 4/3*g**2 + 40804/3 - 808/3*g = 0.
101
Let x be 6/28*1632/(-72). Let t = x + 157/28. What is n in -3/2*n - t - 3/4*n**2 = 0?
-1
Let x(h) be the second derivative of -h**7/315 - h**6/225 + h**5/150 + h**4/90 - 21*h. Suppose x(t) = 0. Calculate t.
-1, 0, 1
Suppose 2*i + 153 - 153 = 0. Suppose i*m - 32 = -16*m. Factor -5/4*p**3 + 5/4*p**m - 5/4*p**4 + 0 + 5/4*p.
-5*p*(p - 1)*(p + 1)**2/4
Let d be 42/(-315)*(-5)/(-3). Let p = d - -5/9. Factor -1/3 - j**2 + j + p*j**3.
(j - 1)**3/3
Let x(i) = i**2 - 3*i + 4. Let v be 6*1/3*1. Let g be x(v). Factor 0*o**4 + 2*o**4 - 6*o**3 - o**g + 9*o**3 + 2*o**2.
o**2*(o + 1)*(2*o + 1)
Let d(h) = -4*h**3 + 11*h**2 + 15*h - 5. Let p be 12/1*(-34)/(-51). Let r(i) = 6*i**3 - 16*i**2 - 22*i + 8. Let q(m) = p*d(m) + 5*r(m). Factor q(x).
-2*x*(x - 5)*(x + 1)
Let r(i) be the third derivative of -i**4/12 - i**3 + 2*i**2. Let b be r(-4). Factor 0*n**2 + 6*n - 4*n**2 + 3 + 5*n**2 + b*n**2.
3*(n + 1)**2
Let q be (-2)/12*5/(-2). Let s = 11/12 + q. Let 2*l - s + 4/3*l**2 = 0. What is l?
-2, 1/2
Let z = 192 - 190. Suppose -4*l = -z*j - 22, -l + 6*l = 3*j + 30. Factor 2/5 - 4/5*x**l + 0*x**2 + 4/5*x - 2/5*x**4.
-2*(x - 1)*(x + 1)**3/5
Let i(k) be the third derivative of 0*k**4 + k**3 + 1/80*k**5 - 1/480*k**6 + 0*k - 4*k**2 + 0. Let w(p) be the first derivative of i(p). Factor w(l).
-3*l*(l - 2)/4
Let n(c) be the second derivative of -c**6/8 + 33*c**5/40 + 27*c**4/16 + 2*c + 263. Factor n(i).
-3*i**2*(i + 1)*(5*i - 27)/4
Let d(m) be the third derivative of 1/12*m**4 + 0*m + 1/30*m**6 + 1/210*m**7 + 12*m**2 + 0*m**3 + 1/12*m**5 + 0. Factor d(h).
h*(h + 1)**2*(h + 2)
Let h(c) be the first derivative of -c**7/840 + 11*c**6/360 - 19*c**5/120 + 3*c**4/8 + 16*c**3/3 + c + 9. Let f(y) be the third derivative of h(y). Factor f(u).
-(u - 9)*(u - 1)**2
Let y(m) = 8*m**4 + 36*m**3 + 24*m**2 - 28*m - 24. Let z(c) = -c**4 - c**3 - c - 1. Let w(j) = y(j) + 4*z(j). Suppose w(v) = 0. What is v?
-7, -1, 1
Suppose 15/4*c - 225/8 - 1/8*c**2 = 0. Calculate c.
15
Factor -20*r + 7*r**2 + 5*r**3 + 15*r**2 - 31*r**2 + 21*r**2 - 6*r**3.
-r*(r - 10)*(r - 2)
Let j(u) = -10*u + 2. Let h(v) = -v**2 + v + 1. Let l(i) = -2*h(i) - j(i). Let b(w) = -w. Let y(p) = 6*b(p) + l(p). Factor y(t).
2*(t - 1)*(t + 2)
Let o(p) be the third derivative of 0*p + 0 + 1/42*p**4 - 30*p**2 + 5/42*p**3 - 1/420*p**5. What is q in o(q) = 0?
-1, 5
Suppose s = -6*s + 7. Let f be s*5/(-15)*-3. Let f - 1/2*v**2 - 1/2*v = 0. Calculate v.
-2, 1
Let l(t) = t**2 + 6*t - 2. Suppose 0*q - 2*j - 20 = 2*q, -q + 8 = -5*j. Let u be l(q). Factor -15 - 13*m + 20*m**3 - 4*m**2 + u*m**4 - 7*m + 14*m**2.
5*(m - 1)*(m + 1)**2*(m + 3)
Let r(i) = 49*i**3 - 175*i**2 + 83*i - 12. Suppose -8 = d - 3. Let u(v) = 49*v**3 - 175*v**2 + 84*v - 12. Let f(g) = d*u(g) + 4*r(g). Factor f(j).
-(j - 3)*(7*j - 2)**2
Suppose -9*p = -43 + 7. Let g(w) be the first derivative of 14/5*w**5 + 0*w - p + 3*w**6 - w**4 + 0*w**2 + 0*w**3. Factor g(r).
2*r**3*(r + 1)*(9*r - 2)
Let g(q) be the first derivative of -q**4/19 + 6*q**3/19 - q**2/19 - 24*q/19 + 72. Determine l so that g(l) = 0.
-1, 3/2, 4
Let u(p) = -p**2 + 13*p - 5. Let v be u(10). Let h be (-6)/10 - (-90)/v. Factor r**2 - 3 - 7*r**2 + 3 - 3*r - h*r**3.
-3*r*(r + 1)**2
Let o(u) = u**3 - 9*u**2 - 7*u - 12. Let d be o(10). Find m such that -12*m**2 + 15 + 131*m**4 - d*m - 64*m**4 - 70*m**4 + 18*m**3 = 0.
-1, 1, 5
Let x(g) be the first derivative of -g**4/14 - 16*g**3/21 - 19*g**2/7 - 24*g/7 - 25. Factor x(d).
-2*(d + 1)*(d + 3)*(d + 4)/7
Factor 1/3*z**4 - 1/3*z**3 + 1/3*z**5 + 0*z - 1/3*z**2 + 0.
z**2*(z - 1)*(z + 1)**2/3
Let j be (-80)/220*(-44)/40. Suppose -8/5*w - 12/5*w**2 - 2/5 - 8/5*w**3 - j*w**4 = 0. What is w?
-1
Suppose -4*v - k = -v - 4, -4*v = 4*k - 16. Let g(h) be the second derivative of h + 1/3*h**3 + 0*h**2 - 1/10*h**5 + v*h**4 + 0. Factor g(n).
-2*n*(n - 1)*(n + 1)
Let x(w) be the second derivative of -w**6/50 - 9*w**5/20 - 12*w**4/5 + 32*w**3/5 - 460*w. Solve x(f) = 0.
-8, 0, 1
Let s = -141 + 427/3. Let b(l) be the first derivative of s*l + 25/9*l**3 + 10 - 10/3*l**2. Factor b(c).
(5*c - 2)**2/3
Let w = 74 + -42. Suppose 4*f - 12 = -4. Solve -w*a**4 + 11*a**4 - 3*a**f - 27*a**3 - 3*a**2 = 0.
-1, -2/7, 0
Let p(u) be the first derivative of u**6/540 - 17*u**3/3 - 1. Let l(a) be the third derivative of p(a). Factor l(x).
2*x**2/3
Let v(s) be the third derivative of 1/1320*s**6 - 1/660*s**5 + 0 + 12*s**2 + 0*s**4 + 0*s**3 + 0*s. Find l such that v(l) = 0.
0, 1
Let t = 79/58 + 4383/29. Let x = t + -151. Factor -3/2*a**3 - x*a + 0 + 3*a**2.
-3*a*(a - 1)**2/2
Find n such that -17*n - 1/4*n**5 - 2*n**2 + 1/2*n**4 - 12 + 15/4*n**3 = 0.
-2, -1, 3, 4
Let w(c) be the second derivative of -c**6/30 - c**5/5 - c**4/2 - 2*c**3/3 - c**2/2 - 50*c. Factor w(a).
-(a + 1)**4
Let u(p) be the third derivative of -p**6/600 - p**5/150 + 23*p**2 + 4*p. Find d, given that u(d) = 0.
-2, 0
Let g(h) be the first derivative of h**6/600 - 7*h**5/200 + 3*h**3 + h**2/2 + 59. Let p(l) be the third derivative of g(l). Solve p(u) = 0 for u.
0, 7
Let r(o) be the third derivative of -2/3*o**3 - 1/45*o**5 - 4*o**2 + 0 + 2/9*o**4 + 0*o. Factor r(l).
-4*(l - 3)*(l - 1)/3
Let t(l) be the first derivative of 21 + 0*l**4 - 4/3*l**2 - l + 1/15*l**5 - 2/3*l**3. Solve t(q) = 0 for q.
-1, 3
Let i = -119 - -145. Factor i*l**3 - 17*l**3 - l - 14*l**3 + 6*l.
-5*l*(l - 1)*(l + 1)
Let l(c) be the second derivative of -3*c**5/20 - 21*c**4/4 + 23*c**3 + 162*c. What is w in l(w) = 0?
-23, 0, 2
Let o(q) be the second derivative of -3 - 7/80*q**5 - 1/24*q**4 + 7/24*q**3 + 1/4*q**2 + q. What is a in o(a) = 0?
-1, -2/7, 1
Determine w so that 2*w + 45*w**2 + 54*w + 101*w + 30 - 12*w = 0.
-3, -2/9
Let p be (3 - (8 + -5))/2. Let k(n) be the second derivative of -2*n**4 - 1/5*n**6 + p + n**5 - n**2 + 2*n**3 - 5*n. Factor k(u).
-2*(u - 1)**3*(3*u - 1)
Let d(b) be the second derivative of 0 + 3/7*b**2 + 3/14*b**3 + 1/28*b**4 - 2*b. What is a in d(a) = 0?
-2, -1
Let t = -46 + 51. Suppose -8*b**2 - 20*b**3 - 3*b**4 - 3*b**4 - 40*b**t - 10*b**4 + 36*b**5 = 0. What is b?
-2, -1, 0
Let f(b) be the first derivative of b**7/105 - b**5/30 - 9*b**2/