3, 0, 1
Let q(o) be the second derivative of 8/45*o**3 - 4/15*o**2 - 1/90*o**4 + 7*o - 7/150*o**5 + 0 - 1/315*o**7 + 1/45*o**6. Let q(w) = 0. Calculate w.
-1, 1, 2
Let f be (-3)/(-12) - 3/(-24)*14. What is x in 4*x**5 - 24*x + 4*x + 8*x - 24*x**3 - 32*x**f = 0?
-1, 0, 3
Let s be ((-12)/63*12)/(88/(-28)). Solve 16/11*x - 10/11*x**2 - s + 2/11*x**3 = 0.
1, 2
Suppose -114 = -2*u + 14. Factor -225 - l**2 - 3*l**2 - 31 + u*l.
-4*(l - 8)**2
Suppose 8*b = 2*b. Let j be (b + -1)/((-4)/16). Let -3*i**5 + 18*i**j - i**5 - 14*i**4 = 0. What is i?
0, 1
Suppose 1/7*x**3 + 0 - 1/7*x**2 + 0*x + 1/7*x**4 - 1/7*x**5 = 0. What is x?
-1, 0, 1
Let r = 5 - -3. Let -106*k**2 - 11*k**2 - r - 72*k - 45*k**2 = 0. Calculate k.
-2/9
Find k such that 3/5*k + 1/5*k**3 + 0 + 4/5*k**2 = 0.
-3, -1, 0
Let r be (-50)/(-30) - (6 - (-18)/(-4)). Suppose -5*g + 50 = 4*m + 14, -5*g = -4*m - 4. Suppose 0*w**2 - r*w**m + 0 + 0*w**3 + 0*w = 0. Calculate w.
0
Suppose 0 - 27/2*v + 33/2*v**2 - 19/6*v**3 + 1/6*v**4 = 0. Calculate v.
0, 1, 9
Suppose 5*d - 46 = -11*f + 9*f, 0 = 2*d + 4*f - 28. Let s(y) be the second derivative of -1/3*y**4 + 0 + y + 8/3*y**3 - d*y**2. Find q such that s(q) = 0.
2
Let z(d) be the first derivative of d**5/5 + 15*d**4/4 + 74*d**3/3 + 66*d**2 + 72*d + 67. Solve z(y) = 0 for y.
-6, -2, -1
Let f(l) be the first derivative of -l**5 + 5*l**3 + 5*l**2 - 60. Factor f(k).
-5*k*(k - 2)*(k + 1)**2
Let t(q) be the third derivative of -q**6/1980 + q**5/66 - 25*q**4/132 + 2*q**3 - 12*q**2. Let y(h) be the first derivative of t(h). Factor y(k).
-2*(k - 5)**2/11
Let y(h) be the first derivative of -h**6/360 + h**5/60 + 20*h**2 + 33. Let r(c) be the second derivative of y(c). Solve r(u) = 0 for u.
0, 3
Let b(s) = -4*s + 29*s**2 + 4*s - 28*s**2. Let y(z) = -z**3 - 12*z - 8. Let h(j) = -30*b(j) + 5*y(j). Factor h(d).
-5*(d + 2)**3
Factor 504/5*o**2 - 42336/5*o - 2/5*o**3 + 1185408/5.
-2*(o - 84)**3/5
Let u(k) = 3*k**4 + 3*k**3 - 16*k**2 - 22*k - 2. Let a(s) = s**4 + s**3 + 2*s - 2. Let p(i) = -2*a(i) + 2*u(i). Factor p(y).
4*y*(y - 3)*(y + 2)**2
Let b(w) = -w**3 + w**2 + 5*w + 5. Let g be b(3). Factor 5/2*a**g + 4*a - 2.
(a + 2)*(5*a - 2)/2
Let o(s) be the third derivative of -5*s**6/24 - 7*s**5/12 - 5*s**4/12 + 30*s**2. Factor o(g).
-5*g*(g + 1)*(5*g + 2)
Let s(u) be the third derivative of -1/3*u**4 - 3/5*u**5 + 7*u**2 - 1/28*u**8 + 0 - 1/2*u**6 + 0*u - 22/105*u**7 + 0*u**3. Factor s(a).
-4*a*(a + 1)**3*(3*a + 2)
Let z be (-26)/(-520) - 12939/(-420). Find b, given that z*b - 2/21*b**4 - 12*b**2 + 38/21*b**3 - 144/7 = 0.
1, 6
Let f be (8/(-5))/((-294)/245). Let o be (1 + -2)/((-1)/3). Determine x so that -1/3*x**o + 0 + f*x**2 + 5/3*x = 0.
-1, 0, 5
Let a = -2768 + 30450/11. Factor 0 - 2/11*g**2 + 2/11*g - a*g**3 + 2/11*g**4.
2*g*(g - 1)**2*(g + 1)/11
Suppose -5*z = 203 + 412. Let p = z + 126. Solve -12/7*k + 2/7 - 8/7*k**p + 18/7*k**2 = 0 for k.
1/4, 1
Let l(i) be the first derivative of 2*i**3/39 + 6*i**2/13 + 10*i/13 - 29. Let l(b) = 0. What is b?
-5, -1
Determine s, given that 35*s - 1225/2 - 1/2*s**2 = 0.
35
Find h such that 23*h**3 - 64 + 18*h**3 + 22*h**2 + 13*h**3 + 21*h**3 - 77*h**3 - 40*h = 0.
-1, 4, 8
Let a(s) = s. Let v(i) be the third derivative of -i**5/12 + 25*i**4/24 - 10*i**3/3 - 39*i**2. Let h(t) = 5*a(t) - v(t). Solve h(o) = 0.
2
Solve -3/2*t**5 + 96*t**4 - 3963/2*t**3 + 15972 + 29766*t + 11715*t**2 = 0 for t.
-1, 22
Let i(g) be the third derivative of -g**5/270 + 5*g**4/18 - 56*g**3/27 + 24*g**2. Factor i(a).
-2*(a - 28)*(a - 2)/9
What is m in -6*m**3 - 24*m**2 - 1/2*m**4 - 32*m + 0 = 0?
-4, 0
Let p = 225 + -222. Let o(z) be the first derivative of p - 2/3*z**3 - z - 3/2*z**2. What is s in o(s) = 0?
-1, -1/2
Let y(c) = 15*c**4 + 48*c**3 + 39*c**2 + 6*c - 6. Let a(n) = -n**2 + 1 - 14*n + 14*n + n**4. Let p(j) = 6*a(j) + y(j). Let p(l) = 0. What is l?
-1, -2/7, 0
Suppose -18*n - 70445 = -23*n. Let z = n - 183059/13. Factor 0*f**2 + 8/13*f - z*f**3 + 0.
-2*f*(7*f - 2)*(7*f + 2)/13
Let p(r) be the second derivative of r**4/6 - 14*r**3/3 + 13*r**2 - 294*r. Let p(i) = 0. Calculate i.
1, 13
Let w = -1070 + 16051/15. Let k(s) be the second derivative of 0 - w*s**6 - 3/10*s**5 + 4*s**3 + 8*s**2 + 7*s + 1/3*s**4. Solve k(x) = 0 for x.
-2, -1, 2
Let r(t) be the third derivative of t**8/240 - t**7/525 - 7*t**6/600 + t**5/150 + 7*t**2. Let r(z) = 0. Calculate z.
-1, 0, 2/7, 1
Let i(a) be the third derivative of -a**5/100 + 19*a**4/20 - 361*a**3/10 - 28*a**2 - a. Factor i(p).
-3*(p - 19)**2/5
Let y = 4037 + -4035. Factor -28/9*d**3 + 392/9 + 400/9*d**y - 1484/9*d.
-4*(d - 7)**2*(7*d - 2)/9
Factor -44/19*d + 96/19 - 2/19*d**2.
-2*(d - 2)*(d + 24)/19
Factor -11*b + 153/8*b**2 - 5/8*b**3 - 15/2.
-(b - 30)*(b - 1)*(5*b + 2)/8
Determine k so that 148/5 - 30*k + 2/5*k**2 = 0.
1, 74
Let o(v) be the third derivative of -v**7/840 + v**6/240 + 5*v**4/12 + 15*v**2. Let s(n) be the second derivative of o(n). Factor s(k).
-3*k*(k - 1)
Let t = 7399 + -7395. Determine q so that 2/5*q**4 + t*q**3 + 64/5 + 72/5*q**2 + 112/5*q = 0.
-4, -2
Let p be 21/(-14) - (12/45 - 2). Let z = 4/15 + p. Factor z + 1/4*s - 1/4*s**2.
-(s - 2)*(s + 1)/4
Let n be 346*9/264 - (1014/286 + -3). Suppose 0 - k**2 + 0*k + 6*k**3 + 25/4*k**5 - n*k**4 = 0. Calculate k.
0, 2/5, 1
Factor -4/7*m**2 + 0 + 5/7*m**3 + 0*m - 1/7*m**4.
-m**2*(m - 4)*(m - 1)/7
Let w(t) = t**3 + t**2 + t - 1. Let r = 8 + -7. Let k be (2*r)/((-3)/3). Let v(l) = 7*l**3 + 6*l**2 + l - 2. Let s(z) = k*w(z) + v(z). What is x in s(x) = 0?
-1, 0, 1/5
Let q(k) be the second derivative of -k**4/4 + 5*k**3 + 117*k**2/2 + 2*k + 2. Factor q(b).
-3*(b - 13)*(b + 3)
Let c = -157/28 - -23/4. Factor 1/7*x**3 + 0 + c*x - 2/7*x**2.
x*(x - 1)**2/7
Let s(l) = -2*l**3 - 6*l + 2. Let f(j) be the third derivative of -j**6/40 - 5*j**4/24 + j**3/6 - 15*j**2. Let n(w) = 6*f(w) - 7*s(w). Factor n(i).
-4*(i - 1)**2*(i + 2)
Let p(o) be the second derivative of -o**4/4 + 15*o**3 + 93*o**2/2 + 180*o. Factor p(i).
-3*(i - 31)*(i + 1)
Let o(v) be the second derivative of 1/15*v**3 - 4/5*v**2 - 1/50*v**5 + 2/15*v**4 + 0 - 29*v. Factor o(w).
-2*(w - 4)*(w - 1)*(w + 1)/5
Let g(q) be the first derivative of q**4/4 - q**3/3 - q**2 + 138. Factor g(o).
o*(o - 2)*(o + 1)
Let v(n) be the second derivative of -n**6/90 + n**5/12 - n**4/4 + 7*n**3/18 - n**2/3 - 59*n. Factor v(f).
-(f - 2)*(f - 1)**3/3
Let q(l) = -l**2 + 35*l + 566. Let b be q(47). Let j(u) be the third derivative of 0*u - 8*u**b + 0 + 1/210*u**5 + 0*u**3 + 0*u**4. Factor j(o).
2*o**2/7
Let v(a) be the third derivative of 5*a**5/78 + 127*a**4/156 + 10*a**3/39 + 39*a**2 + 3. Factor v(j).
2*(j + 5)*(25*j + 2)/13
Let h(r) = -7 + r**2 + 0*r - r + 8. Let q(y) = y + 1. Let c be q(4). Let x(b) = -b**3 - 2*b**2 + 3*b - 5. Let m(z) = c*h(z) + x(z). Factor m(f).
-f*(f - 2)*(f - 1)
Let f be 1/5*(170/20 + -1). Find s, given that 6*s + f*s**2 + 6 = 0.
-2
Let o be (4 + (-16)/12)/(2/3). Factor n + 8*n + o - 16 + 3*n**2.
3*(n - 1)*(n + 4)
Let m(n) = -16*n**3 - 29*n**2 - 27*n. Let j(c) = 11*c**3 + 10*c**2 + 18*c + 9*c**2 - 4 + 4. Let t(g) = 7*j(g) + 5*m(g). Factor t(s).
-3*s*(s + 1)*(s + 3)
Let o be 1*((-1)/(-9))/((-12)/(-54)). Let c(b) be the first derivative of -o*b + 0*b**2 + 5 + 1/6*b**3. Factor c(r).
(r - 1)*(r + 1)/2
Factor 50*v**4 + 32*v**4 - 78*v**4 - 30*v - 16*v**3 + 94*v - 16*v**2.
4*v*(v - 4)*(v - 2)*(v + 2)
Let j(w) be the third derivative of 0*w - 1/24*w**6 + 0 + 5/6*w**3 - 5/8*w**4 - 7*w**2 + 1/4*w**5. Factor j(q).
-5*(q - 1)**3
Suppose -2*q = 8*i - 12*i + 8, 3*q = -3*i + 15. Factor 1/12*f**i - 7/12*f**2 + 4/3*f - 1.
(f - 3)*(f - 2)**2/12
Let i be 1 - 0 - -2*7/14. Let a(k) be the second derivative of -7/10*k**5 + 0 - 2*k + 8*k**i - 12*k**3 + 5*k**4. Factor a(f).
-2*(f - 2)**2*(7*f - 2)
Let z(g) = 165 + g**2 - 2*g**2 - 164. Let t(p) = -8*p**2 + 40*p - 96. Let f(b) = t(b) - 4*z(b). Factor f(v).
-4*(v - 5)**2
Let y(p) = p**3 + 5*p**2 + 2*p + 8. Let h be y(-4). Let k be (3/(-6))/((-6)/h). Determine n so that 2/3*n**4 - 2/3 + 0*n**2 - 4/3*n + k*n**3 = 0.
-1, 1
Suppose -6 = -5*l - 1, -t + 4*l = 4. Let p(o) be the third derivative of t*o + 0*o**3 + o**2 + 0 + 1/120*o**5 + 1/48*o**4. Factor p(j).
j*(j + 1)/2
Let g(o) be the first derivative of -o**4/4 + 27*o**2/2 - 41*o - 25. Let s(m) be the first derivative of g(m). What is z