-4*q**4 - q**3 - 5*q**2 + q. Let t(r) = -3*u(r) - 8*y(r). Determine d, given that t(d) = 0.
-2, -1, 0
Factor 0*q - 3/4*q**2 + 0.
-3*q**2/4
Let n(h) be the third derivative of h**5/300 + h**4/30 + h**3/10 - 17*h**2. Solve n(v) = 0.
-3, -1
Let l(d) be the second derivative of -34*d**7/147 - 24*d**6/35 + 13*d**5/35 + 12*d**4/7 + 8*d**3/21 + 17*d - 3. Find h such that l(h) = 0.
-2, -1, -2/17, 0, 1
Factor 1/5*p**2 - 1/5*p**3 - 1/5 + 1/5*p.
-(p - 1)**2*(p + 1)/5
Factor -1/3*h**5 + 0*h**2 + 0*h**4 - 1/3*h + 0 + 2/3*h**3.
-h*(h - 1)**2*(h + 1)**2/3
Let g(i) be the second derivative of 0 + 0*i**2 + 1/56*i**7 + 3*i + 0*i**3 - 1/48*i**4 + 1/24*i**6 + 1/80*i**5. Suppose g(w) = 0. Calculate w.
-1, 0, 1/3
Let a be -3*28/48 + -2 + 4. Suppose 1/2*x**2 + 0 - 1/4*x**3 - a*x = 0. Calculate x.
0, 1
Let j(i) be the second derivative of i**4/18 + 2*i**3/9 - i. Factor j(q).
2*q*(q + 2)/3
Let y(o) be the second derivative of -o**4/8 + 3*o**2/4 + 9*o. Factor y(z).
-3*(z - 1)*(z + 1)/2
Suppose -2*w - 37 = 53. Let f be (-10)/w + 5/18. Find z such that 0 - f*z**2 - 1/2*z + 1/2*z**4 + 1/2*z**3 = 0.
-1, 0, 1
Let s(h) be the second derivative of -4*h**2 - 1/6*h**4 + 0 + 4/3*h**3 - 4*h. Factor s(i).
-2*(i - 2)**2
Let c(n) be the second derivative of n**8/504 - n**6/180 + n**2 - n. Let f(w) be the first derivative of c(w). Factor f(z).
2*z**3*(z - 1)*(z + 1)/3
Let c = 3 + 0. Let 8*q**2 + 4*q**4 + 2*q + 2*q**5 - q**4 + 12*q**c + 5*q**4 = 0. What is q?
-1, 0
Let x(g) = g**3 - 2*g**2 + 2*g - 2. Let u be x(2). Factor -4*a**3 + 1 + 7 - 16*a**u + 10*a**2 + 2*a**3.
-2*(a - 1)*(a + 2)**2
Let l(u) be the third derivative of 7*u**6/30 + 2*u**5/15 - 7*u**4/6 - 4*u**3/3 + 4*u**2. What is y in l(y) = 0?
-1, -2/7, 1
Let m(a) be the second derivative of a**7/56 + a**6/20 + 3*a**5/80 + 4*a. Factor m(d).
3*d**3*(d + 1)**2/4
Suppose -t - 3*f - 13 = 5, -2*f = -2*t - 4. Let i = 6 + t. Let 3/2 - 3*w**2 + 0*w + i*w**3 + 3/2*w**4 = 0. What is w?
-1, 1
Let m = 13 - 10. Solve a**3 - 4*a - 16*a**2 - 2*a + 8*a**m + 2*a = 0.
-2/9, 0, 2
Let t = 79 + -79. Solve 0*r + t + 1/3*r**2 = 0.
0
Let v(r) = 4*r + 42. Let u be v(-10). Factor 3*g + 135/4*g**3 + 0 + 18*g**u + 75/4*g**4.
3*g*(g + 1)*(5*g + 2)**2/4
Suppose 4*a = -0*a + 20. Factor -r**3 - r + 2*r**2 - r**4 + r**3 + 2*r**3 - r**a - 1.
-(r - 1)**2*(r + 1)**3
Let z(y) be the third derivative of y**6/960 + y**5/240 + 16*y**2. Factor z(r).
r**2*(r + 2)/8
Let v(x) = -6*x**2 - 6*x - 15. Suppose 5*f = -4*t - 36, 0 = 3*t + 3*f - 0*f + 24. Let r(y) = -y**2 - y - 2. Let i(p) = t*v(p) + 27*r(p). Factor i(o).
-3*(o - 1)*(o + 2)
Let l = -4/7 - -19/21. Let q = 3 - 3. Find j such that 0*j**3 + q*j - l*j**4 + 1/3*j**2 + 0 = 0.
-1, 0, 1
Let r(x) be the first derivative of 214375*x**4/4 + 12250*x**3 + 1050*x**2 + 40*x - 22. Factor r(v).
5*(35*v + 2)**3
Let q(g) be the first derivative of 1/2*g**4 + 2 - g**2 + 0*g - 2/5*g**5 + 2/3*g**3. Determine p so that q(p) = 0.
-1, 0, 1
Let o(b) be the third derivative of b**7/5040 + b**6/360 + b**5/60 + b**4/24 - 3*b**2. Let a(v) be the second derivative of o(v). Factor a(l).
(l + 2)**2/2
Let y = 1 - 1. Let o(l) be the third derivative of 0 + 0*l + 0*l**3 - 1/144*l**8 + 0*l**4 - 4*l**2 + 1/315*l**7 + y*l**6 + 0*l**5. Factor o(a).
-a**4*(7*a - 2)/3
Let p = 8 + 3. Let d(o) = -15*o**2 + 1 + 3*o**4 - 4*o**4 + 2*o**4 - p*o - 5*o**3. Let i(s) = s**4 + s**3 - s**2 - s + 1. Let g(v) = -d(v) + 3*i(v). Factor g(y).
2*(y + 1)**4
Let i = 15 + -10. Determine g, given that 3*g**2 + 6*g**i + 9*g**3 - 3*g**4 - 6*g**3 - 9*g**5 = 0.
-1, 0, 1
Let v(o) = -3*o**3 + 3*o**2 + 4*o**2 + 8 - o**2 + 9*o - o. Let b(t) = 2*t**3 - 4*t**2 - 5*t - 5. Let a(f) = 8*b(f) + 5*v(f). Factor a(y).
y**2*(y - 2)
Factor -4/3*a**4 + 4/3*a**2 - 2/3*a**5 + 2/3*a + 0*a**3 + 0.
-2*a*(a - 1)*(a + 1)**3/3
Find q such that 4*q**4 - 5221*q + 44*q**3 - 20*q**5 + 184*q**2 - 52*q**4 + 5365*q + 32 = 0.
-2, -1, -2/5, 2
Suppose 0*t = -2*t + 26. Suppose 5*v - 4*m = t + 1, 4*v + 4*m - 4 = 0. Find l such that -l + 2*l**2 - l**v + 0*l = 0.
0, 1
Let a = -1385/21 + 66. Let s(q) be the second derivative of 1/7*q**3 - 1/35*q**6 + 0 - 1/35*q**5 + 1/7*q**2 - 1/147*q**7 - 2*q + a*q**4. Solve s(r) = 0.
-1, 1
Let -4/9*q + 0*q**2 + 4/9*q**3 - 2/9 + 2/9*q**4 = 0. What is q?
-1, 1
Let l be (-2 - -1)*(-4)/192. Let y(c) be the third derivative of 0*c + c**2 + l*c**4 + 0*c**3 + 0 - 1/120*c**5. Factor y(m).
-m*(m - 1)/2
Let h(u) = -5*u**3 - 4*u**2 + 4*u - 4. Let r(k) = k**3 + k**2 + 1. Let x(t) = h(t) + 4*r(t). Factor x(y).
-y*(y - 2)*(y + 2)
Let g = -56 - -58. Let n(v) be the first derivative of g + 2/3*v + 1/9*v**3 - 1/2*v**2. Factor n(p).
(p - 2)*(p - 1)/3
Suppose 2*u = -2*d + 14, -d - 5*u + 22 + 5 = 0. Let r be ((-76)/6)/((-70)/21) - 3. What is g in 6/5*g - r + 2*g**d = 0?
-1, 2/5
Let z = 91 - 87. Factor -1/3*n**z + n**2 - 1/3*n**3 + 1/3*n - 2/3.
-(n - 1)**2*(n + 1)*(n + 2)/3
Let n(y) be the third derivative of -y**7/420 + y**6/90 - y**3/2 + 3*y**2. Let c(s) be the first derivative of n(s). Determine t, given that c(t) = 0.
0, 2
Solve -4*v - 2*v**2 - 5*v**3 - 5*v**4 + 27*v**2 - 11*v = 0 for v.
-3, 0, 1
Let p = 10838/7 - 1548. Determine z so that p*z**2 + 0 + 0*z + 6/7*z**3 = 0.
-1/3, 0
Let r(t) = -t + 14. Suppose -p = -8 - 3. Let b be r(p). Factor 0*j + 0 - 1/3*j**2 + 0*j**b + 1/3*j**4.
j**2*(j - 1)*(j + 1)/3
Suppose 2*h - 18 = -h. Let q be (-4)/h*3*-1. Factor -2*y**3 - y + y**2 - 1 + y**3 + q*y**3.
(y - 1)*(y + 1)**2
Let p be (-1)/6*(-93)/62. Factor t**3 + 1/4*t**2 - p - t.
(t - 1)*(t + 1)*(4*t + 1)/4
Let f = 1394 - 1394. Factor f + 1/7*k - 1/7*k**2.
-k*(k - 1)/7
Factor -26 + 26 + 3*a**2 - 9*a.
3*a*(a - 3)
Let x(j) = j**2 - j + 1. Let a(k) = -3*k**3 + 3*k**2 + 12*k - 3. Let b(r) = -a(r) - 3*x(r). Find i, given that b(i) = 0.
-1, 0, 3
Let b(y) be the first derivative of 0*y - 3/8*y**4 + 1/6*y**2 + 7 - 5/18*y**3 + 7/36*y**6 + 1/6*y**5. Suppose b(w) = 0. What is w?
-1, 0, 2/7, 1
Let r(y) be the third derivative of -y**7/1575 + y**5/150 + y**4/90 + 21*y**2. Solve r(v) = 0 for v.
-1, 0, 2
Let i(f) = -f**3 - 10*f**2 - 9*f + 4. Let b be i(-9). Let q = b - 4. Factor 1/3*h + h**3 + q + h**2 + 1/3*h**4.
h*(h + 1)**3/3
Let a be (6/2 + -4)*-4. Determine y so that 429*y - 3*y**3 + 3*y**a - 429*y = 0.
0, 1
Let b be 10/(-5) - (-14)/6. Let p(k) be the first derivative of 0*k - 1 - 1/9*k**3 + b*k**2. Factor p(g).
-g*(g - 2)/3
Factor -3/7*a**2 - 24/7*a - 48/7.
-3*(a + 4)**2/7
Let y(r) be the second derivative of -r**4/60 + r**3/30 + r**2/5 + 10*r. Suppose y(p) = 0. What is p?
-1, 2
Let w(i) be the first derivative of 9*i**6/4 + 99*i**5/10 + 69*i**4/4 + 15*i**3 + 27*i**2/4 + 3*i/2 - 8. Factor w(h).
3*(h + 1)**3*(3*h + 1)**2/2
Find y such that -3/2*y - 9 - 3/2*y**3 + 6*y**2 = 0.
-1, 2, 3
Suppose -6 = 4*w - 14. Suppose -r + 0 = -w. Factor -2*q**5 + 4*q**3 - 6*q**2 + 2*q**2 + r + 2*q**4 - 2*q + 0*q**2.
-2*(q - 1)**3*(q + 1)**2
Let b(f) = 2*f**4 - 6*f**3 - f**2 - 5*f - 5. Let z(o) = o**4 - 3*o**3 - 2*o - 2. Let w(y) = 2*b(y) - 5*z(y). Factor w(n).
-n**2*(n - 2)*(n - 1)
Let i = -16/3 - -6. Let -2/3*y**2 + i + 0*y = 0. Calculate y.
-1, 1
Suppose 0 = 3*w + 1 - 7. Let r be ((-8)/27)/(35/15 + -3). Factor 2*f + 10/9*f**3 - 8/3*f**w - r.
2*(f - 1)**2*(5*f - 2)/9
Suppose 1 + 8 = 3*b. Let u = -11 + 15. Suppose o**b + o**2 - 1 + 3*o + 0*o**3 - u*o**3 = 0. Calculate o.
-1, 1/3, 1
Suppose -5*v + 3*y = -3, v + 4*y - y - 15 = 0. Let m(s) be the second derivative of -1/7*s**2 + 1/7*s**v + 0 + s + 2/21*s**4. Factor m(j).
2*(j + 1)*(4*j - 1)/7
Let o(s) be the first derivative of s**4/12 + s**3/3 - s**2/6 - s - 17. Factor o(l).
(l - 1)*(l + 1)*(l + 3)/3
Let z(x) be the third derivative of 0*x**3 + 1/100*x**6 + 1/60*x**4 + 0 + 0*x + 7*x**2 + 1/50*x**5 + 1/525*x**7. Let z(f) = 0. Calculate f.
-1, 0
Let h be (-308)/105 - 1*-3. Let m(v) be the first derivative of 3/10*v**2 + 3 + h*v**3 + 2/5*v. Factor m(l).
(l + 1)*(l + 2)/5
Let h(g) be the second derivative of -g**5/4 + 2*g**4/3 - g**3/2 + 10*g. Factor h(b).
-b*(b - 1)*(5*b - 3)
Let a(b) be the first derivative of 1/300*b**6 + b**2 - 1/60*b**4 + 0*b**5 + 0*b**3 - 2 + 0*b. Let l(s) be the second derivative of a(s). Factor l(r).
2*r*(r - 1)*(r + 1)/5
Let x be ((-30)/(-25))/(-2)*(-2 - -1). Suppose 2*u = 5*v, v - 17 = -0*u - 3*u. Factor 0 - 3/5*d**v - x*d**3 + 0*d.
-3*d**2*(d + 1)/5
Let c(t) be th