3, -1, 0, 1
Suppose 5*k = 8 + 2. Suppose k*q + 0*q = 3*x - 3, -3*x + 3 = 0. Determine u, given that -12*u + 1 + q + 4*u**3 - 8 - 1 = 0.
-1, 2
Solve -8*a + 12*a**2 + 51*a**3 + 6 - 7*a - 106*a**3 + 52*a**3 = 0.
1, 2
Let b be 0/(7/(-49)*-7). Let r(n) be the third derivative of 0*n**5 + 0*n + 0 + b*n**4 + 0*n**3 + 1/30*n**6 + 3*n**2 - 4/35*n**7. Factor r(d).
-4*d**3*(6*d - 1)
Find z such that -1/2*z + 1/2*z**2 + 0 = 0.
0, 1
Let d be (16 - 16)/(20/(-5)). Let 0*y**2 + 0*y**4 - 3/5*y - 3/5*y**5 + 6/5*y**3 + d = 0. What is y?
-1, 0, 1
Let i = -203/3 - -1021/15. Find a, given that i*a**3 + 16/5*a + 2*a**2 + 8/5 = 0.
-2, -1
Let u(f) = 14*f - 2. Let w be u(2). Factor 33*q**2 - 12 + 44*q - 75*q**4 - 8*q + w*q**3 + 0*q - 116*q**3.
-3*(q + 1)**2*(5*q - 2)**2
Let a be 13/7 + 640/560. Factor 1/5*q**a + 4/5 - 7/5*q + 2/5*q**2.
(q - 1)**2*(q + 4)/5
Let o(m) be the third derivative of -m**6/1440 - m**5/30 + m**4/288 + m**3/3 - 30*m**2. Factor o(l).
-(l - 1)*(l + 1)*(l + 24)/12
Let q(f) be the first derivative of -4*f**5/5 - f**4 + 8*f**3 + 8*f**2 - 32*f + 56. Factor q(h).
-4*(h - 2)*(h - 1)*(h + 2)**2
Let r(b) be the first derivative of 6*b**5/25 + 3*b**4/2 + 12*b**3/5 + 143. Factor r(n).
6*n**2*(n + 2)*(n + 3)/5
Let j be ((-38)/171)/((-1)/18). Let s(c) be the second derivative of -2/3*c**3 + 1/5*c**5 - 2*c**2 + 1/30*c**6 - 4*c + 0 + 1/4*c**j. Factor s(z).
(z - 1)*(z + 1)*(z + 2)**2
Let b(t) be the first derivative of t**7/210 + t**6/60 + t**5/60 - 19*t**2/2 + 19. Let q(k) be the second derivative of b(k). Let q(f) = 0. What is f?
-1, 0
Let p(u) be the second derivative of -1/10*u**5 - u + u**3 + 0 + 2*u**2 + 0*u**4. Factor p(i).
-2*(i - 2)*(i + 1)**2
Factor -23*t + 15*t**2 + 33*t**3 + 22*t**2 - 37*t - 13*t**2 + 3*t**4.
3*t*(t - 1)*(t + 2)*(t + 10)
Suppose 65*l - 41*l - 120 = 0. Let a(q) be the first derivative of -q**4 + 0*q + 2/5*q**l + 1 + 0*q**2 + 2/3*q**3. Find p, given that a(p) = 0.
0, 1
Let j be ((-3)/((-24)/(-14)))/(14/168). Let g be (0 - (-1)/2) + j/126. Factor 0 + 0*i + g*i**2 + 4/3*i**3.
i**2*(4*i + 1)/3
Let v(i) be the first derivative of -i**2 - 4 + i + 1/3*i**3. Factor v(f).
(f - 1)**2
Factor 316/5*f - 16 + 16/5*f**2.
4*(f + 20)*(4*f - 1)/5
Let -4/7*o**4 + 8/7*o + 0 + 4/7*o**2 - 8/7*o**3 = 0. Calculate o.
-2, -1, 0, 1
Let u(j) = -3*j**3 - 3*j**2 - 6*j - 8. Let m be u(-2). Suppose -2*c = 6*c - m. Factor 1/6*f + 0 + 1/6*f**c.
f*(f + 1)/6
Let g**5 + 3*g**5 - 280*g**4 - 266*g**4 + 28*g**3 + 514*g**4 = 0. Calculate g.
0, 1, 7
Let x(z) be the third derivative of -30*z**2 + 3/25*z**5 + 0 + 0*z + 11/30*z**4 + 4/15*z**3. Factor x(q).
4*(q + 1)*(9*q + 2)/5
What is o in -500*o + 4*o**2 + 31*o**4 + 482*o + 35*o**3 - 15*o**2 + 3*o**5 = 0?
-9, -1, 0, 2/3
Factor 9/2*g**2 - 11/6*g**3 - 25/6*g + 4/3 + 1/6*g**4.
(g - 8)*(g - 1)**3/6
Let s(g) be the second derivative of g**3/3 - 9*g**2/2 - 6*g. Let p be s(7). Let 12*o**p - 20*o + 55*o**2 - 55*o**2 - 40*o**4 + 40*o**3 + 8 = 0. Calculate o.
-2/3, 1
Let s(d) be the first derivative of d**5/40 - d**4/24 - d**3/12 + 7*d**2 - 4. Let w(a) be the second derivative of s(a). Solve w(c) = 0.
-1/3, 1
Let m be (0 + -4)/2 - -7. Determine u, given that 5*u**5 - 3*u**5 - 2*u**2 + u**3 + m*u**3 - 6*u**4 = 0.
0, 1
Let j = 11/977 + 2876/4885. What is s in 9/5*s**3 - j*s**5 + 0*s**4 + 0 + 0*s - 6/5*s**2 = 0?
-2, 0, 1
Let o = -12479/30 + 416. Let l(r) be the third derivative of 0*r + 0*r**3 + 0 + o*r**6 + 0*r**4 - 2/15*r**5 + 3*r**2. Let l(k) = 0. What is k?
0, 2
Let a be ((-2)/4)/(3/(-20)). Let n be (24/28)/(198/308). Factor 14/3*x + 2/3*x**4 + 6*x**2 + a*x**3 + n.
2*(x + 1)**3*(x + 2)/3
Factor -9/4*b + 3/4*b**2 + 0.
3*b*(b - 3)/4
Let b(f) be the second derivative of -f**4/16 + 3*f**3/2 + 178*f - 1. Factor b(p).
-3*p*(p - 12)/4
Let u(s) = -s + 9. Let c be u(6). Solve 27*k**3 + 6*k + 2*k**4 + 21*k**2 + 3*k**5 + 13*k**4 - k**3 + k**c = 0.
-2, -1, 0
Let s(a) be the first derivative of 2*a**3/3 + 20*a**2 - 42*a - 293. Factor s(t).
2*(t - 1)*(t + 21)
Let l be (4*1)/(40/20)*62. Let r = l + -122. Factor 21*t**r + 44*t**4 - 1 + 58*t**3 - 1/2*t.
(2*t + 1)**3*(11*t - 2)/2
Let i(d) = -d**2 - 5*d + 6. Let x be i(-5). Factor -9*u**2 + x*u - 14*u**3 + 10*u**3 + 7*u**3.
3*u*(u - 2)*(u - 1)
Let i = -1/663 - -3317/1326. Let a(l) be the first derivative of i*l**2 + 1/5*l**5 - 1/4*l**4 - l**3 - 2*l - 6. Determine f, given that a(f) = 0.
-2, 1
Let i = 39 + -23. Suppose -4*u = -i + 4. Determine s, given that s**4 + 2*s**u + 0*s**3 + 5*s**4 - 8*s**5 = 0.
-1/4, 0, 1
Let i(o) be the first derivative of -o**8/420 - 4*o**7/525 + 2*o**5/75 + o**4/30 + 6*o**2 + 2. Let c(y) be the second derivative of i(y). Factor c(m).
-4*m*(m - 1)*(m + 1)**3/5
Let v be -12 + 11 + (-32)/18 + 3. Factor 2/9*j + 4/9 - v*j**2.
-2*(j - 2)*(j + 1)/9
Let k be (8/6)/((-2)/(-3)). Suppose -p - 3*j + 16 = 0, 0*p + p + j = 8. Factor -11*c + 12*c + 16 + p*c**k + 19*c.
4*(c + 1)*(c + 4)
Let l = 8/15 - -2/15. Find d such that 0 - 13/3*d**3 + 16*d**4 - 12*d**5 - 5/3*d**2 + l*d = 0.
-1/3, 0, 1/2, 2/3
Find s such that -17/3*s**2 + 2*s + 12 + 2/3*s**4 + 1/6*s**5 - 7/6*s**3 = 0.
-3, -2, 2
Factor -3*o**4 - 38*o**3 + 60*o + 21 + 39*o**2 + 50*o**3 + 15*o**2.
-3*(o - 7)*(o + 1)**3
Let f(z) be the first derivative of 7*z**6/3 - 506*z**5/15 + 383*z**4/3 - 152*z**3 - 40*z**2/3 + 128*z/3 + 248. What is h in f(h) = 0?
-2/7, 1/3, 2, 8
Suppose -5*u + 6*u - 48 = 5*z, -z = 3*u. Determine t so that 0 - 3*t**2 + 3/4*t**u + 3*t**4 - 3/4*t = 0.
-1, -1/4, 0, 1
Let k(f) be the third derivative of -1/6*f**4 + 0*f**3 + 0 - 10*f**2 + 4/105*f**7 - 2/15*f**5 + 0*f**6 + 0*f + 1/84*f**8. Factor k(c).
4*c*(c - 1)*(c + 1)**3
Let v(k) be the second derivative of k**4/4 - 5*k**3 + 63*k**2/2 - 46*k. Factor v(r).
3*(r - 7)*(r - 3)
Let a(x) be the first derivative of -2 + 0*x + 2/3*x**3 - x**2. Solve a(w) = 0.
0, 1
Let o(q) = q**4 + q**3 + q**2 - 4. Let b(s) = -2*s**4 - 11*s**3 - 13*s**2 + 2*s + 24. Let i(z) = b(z) + 6*o(z). Factor i(v).
v*(v - 2)*(v + 1)*(4*v - 1)
Let n = 41 + -20. Let z = -12 + n. Find q, given that 2*q**2 + 6 + z - 19 + 2*q = 0.
-2, 1
Let h(g) be the second derivative of -g**7/14 - 3*g**6/10 + 12*g**5/5 + 13*g**4 - 96*g**2 - 447*g. Let h(m) = 0. Calculate m.
-4, -2, 1, 4
Let t = 25 + -23. Factor 4*z**2 - 85*z**4 - 2 + 4*z**3 + 2*z**2 - 2*z**2 + 83*z**4 - t*z - 2*z**5.
-2*(z - 1)**2*(z + 1)**3
Let n be (-1 - -2)*1*6/360. Let x(d) be the third derivative of 7*d**2 - 1/3*d**3 - 1/12*d**4 + 1/30*d**5 + 0 + 0*d + n*d**6. Factor x(t).
2*(t - 1)*(t + 1)**2
Factor -24*u**3 - 12*u + 20*u**4 - 12*u**3 - 24*u**2 - 10*u**2 - 42*u**2 + 8*u**2.
4*u*(u - 3)*(u + 1)*(5*u + 1)
Let c be (476/102)/((-2)/(-3)). Suppose -3*g = c*g - 20. What is i in 5/2*i + 4*i**2 + 1/2 + g*i**3 = 0?
-1, -1/2
Let r(p) = -p**3 + 3*p**2 + 4. Suppose -3*s + 7*s = 2*f + 18, 0 = -s + 5*f + 9. Let x(o) = o + 1. Let m(t) = s*r(t) - 12*x(t). Solve m(b) = 0 for b.
1
Let r(p) be the first derivative of -p**3/3 + 6*p**2 - 36*p - 82. Factor r(b).
-(b - 6)**2
Let b be (75/50)/(1/2). Let a(r) be the third derivative of 1/40*r**6 - 1/8*r**4 - 3/2*r**3 + 0 + 3/20*r**5 + b*r**2 + 0*r. Solve a(s) = 0.
-3, -1, 1
Let p be (-9)/(-2) + 8/(-16). Let -16*g**2 - 6 - 2 - p*g**3 - 19*g - g = 0. Calculate g.
-2, -1
Let c = 265 - 263. Let g(z) be the first derivative of -7 + 3/14*z**c + 0*z**3 + 0*z - 3/28*z**4. Factor g(m).
-3*m*(m - 1)*(m + 1)/7
Let g = 1 + 2. Let v be ((-42)/(-7))/(-1)*(4 + -5). Factor -v*u**2 + 0 + 9*u**g - 6*u**4 + 3/2*u + 3/2*u**5.
3*u*(u - 1)**4/2
Suppose -6*a**2 + 0 + 6*a**4 + 9/2*a**3 - 21/4*a + 3/4*a**5 = 0. What is a?
-7, -1, 0, 1
Let r = 1457/1948 - -1/487. Let -r*s**5 + 15/4*s**3 + 3/4*s**2 - 6*s + 3 - 3/4*s**4 = 0. Calculate s.
-2, 1
Let b = -1706 - -1719. Let a(m) be the third derivative of -1/6*m**4 + 0 + 4/75*m**5 + 4/15*m**3 + 0*m - 1/150*m**6 + b*m**2. Factor a(l).
-4*(l - 2)*(l - 1)**2/5
Let g(p) be the second derivative of -1/14*p**7 - 1/2*p**6 + 0 - 27/20*p**5 - p**3 - 7/4*p**4 + 0*p**2 + 7*p. Suppose g(q) = 0. Calculate q.
-2, -1, 0
Let p(q) = -q**3 - q + 2. Let r be p(0). Factor -18*y**r + 7 + 6*y + 3*y**3 - 6*y + 6*y**4 - 1 + 3*y.
3*(y - 1)**2*(y + 2)*(2*y + 1)
Let k(w) be the third derivative of w**7/1785 + w**6/510 + w**5/510 - w**2 + 20. Factor k(i).
2*i**2*(i + 1)**2/17
What is f in 4/3*f**2 + 17/6*f + 5/3 + 1/6*f**3 = 0?
-5, -