/13*a**5 + 0 - 4/13*a**2 = 0.
-1, -2/5, 0
Let z(g) be the first derivative of -2/3*g**3 - 18*g + 1 + 6*g**2. What is u in z(u) = 0?
3
Let q be (272/(-40) + 6)*-5. Determine n so that 0 + 1/4*n**5 - n**q - n**2 + 1/4*n + 3/2*n**3 = 0.
0, 1
Factor -1/2*t**3 + 0*t**2 + 1/2*t + 1/4*t**4 - 1/4.
(t - 1)**3*(t + 1)/4
Let t(m) be the first derivative of -m**4/18 + 34*m**3/27 - 7*m**2 - 18*m - 5. Factor t(o).
-2*(o - 9)**2*(o + 1)/9
Let b(c) be the third derivative of c**7/210 + 7*c**6/120 + c**5/4 + 3*c**4/8 + 18*c**2. Factor b(w).
w*(w + 1)*(w + 3)**2
Let b(h) be the first derivative of h**4/4 + 4*h**3/3 + 5*h**2/2 + 2*h + 3. Suppose b(m) = 0. What is m?
-2, -1
Let m(r) be the first derivative of -r**4/30 - 2*r**3/45 + r**2/15 + 2*r/15 - 2. Determine w so that m(w) = 0.
-1, 1
Let w(j) = 3*j**3 - 3*j**2 - j + 1. Let v(m) = 15*m**3 - 15*m**2 - 4*m + 4. Let a(b) = -2*v(b) + 11*w(b). Suppose a(x) = 0. Calculate x.
-1, 1
Let o be (6/5)/3*60/84. Factor 0*q + 0 + o*q**2 + 2/7*q**3.
2*q**2*(q + 1)/7
Let d(h) be the second derivative of 3/2*h**6 + 0*h**3 + 27/14*h**7 + 1/3*h**4 - 8/5*h**5 + 0*h**2 + h + 0. Solve d(g) = 0.
-1, 0, 2/9
Let r(a) be the third derivative of 0*a - 1/180*a**5 - 2*a**2 - 1/9*a**3 + 0 - 1/24*a**4. Factor r(d).
-(d + 1)*(d + 2)/3
Let y(b) be the second derivative of -b**7/1120 - b**6/480 + b**3/3 + b. Let u(w) be the second derivative of y(w). Factor u(m).
-3*m**2*(m + 1)/4
Factor -q**2 + 6 + 11*q**2 - 8*q**3 + 6*q**3 - 14*q.
-2*(q - 3)*(q - 1)**2
Let u(g) be the second derivative of -g**8/16800 + g**4/4 + 3*g. Let l(w) be the third derivative of u(w). Factor l(i).
-2*i**3/5
Determine d, given that d**3 - d**3 - 6 - 2*d**2 + 2*d**3 + 0*d**3 - 10*d = 0.
-1, 3
Let d(o) = 18*o**3 + 10*o**2 + o + 2. Let n = 6 - -11. Suppose -n - 33 = 5*f. Let g(y) = 37*y**3 + 21*y**2 + 2*y + 5. Let c(r) = f*d(r) + 4*g(r). Factor c(k).
-2*k*(4*k + 1)**2
Let l(q) be the first derivative of 3*q**5/25 + 3*q**4/4 + 6*q**3/5 - 6*q**2/5 - 24*q/5 - 73. Factor l(k).
3*(k - 1)*(k + 2)**3/5
Suppose 7 - 2 = v. Let a = -3 + v. Solve 2*z**5 + 4*z**4 - 3*z**a + z**2 - 2*z - 2*z**2 = 0.
-1, 0, 1
Let q(x) be the first derivative of 3*x**5/25 - 3*x**4/10 + x**3/5 - 1. What is j in q(j) = 0?
0, 1
Let k be 4/6 + 176/6. Let b be 0 - -1 - k/(-18). Factor -8/3 - 2/3*c**2 + b*c.
-2*(c - 2)**2/3
Let m = -5 - -13. Suppose 3*x - 2 = -3*c - m, 0 = -2*x - c. Solve 1/4*l**5 + 0 - 1/4*l**4 + 1/4*l**x - 1/4*l**3 + 0*l = 0.
-1, 0, 1
Suppose -3*v + 4*v - 2 = 0. Let c(x) be the second derivative of 1/6*x**3 - 1/24*x**4 + 0 + 3*x - 1/4*x**v. Factor c(b).
-(b - 1)**2/2
Suppose -4/11*b**2 + 0 - 10/11*b**4 + 0*b - 14/11*b**3 = 0. Calculate b.
-1, -2/5, 0
Let i(x) = x**3 + 7*x**2 - x - 5. Let b be i(-7). Factor -2*v**2 - 4*v**3 + v + b + 3*v**3 + 0*v.
-(v - 1)*(v + 1)*(v + 2)
Let f(o) be the second derivative of -1/18*o**4 + 0*o**2 + 1/18*o**3 + 0 + 3*o + 1/60*o**5. Solve f(w) = 0 for w.
0, 1
Let w be (0/2)/(6 - 4). Suppose w = -5*q + 2*z + 6, -6 - 4 = -5*z. Determine i so that 0 - 2/5*i**3 + 2/5*i**q + 0*i = 0.
0, 1
Let l(t) be the second derivative of -1/6*t**4 + 1/10*t**5 - t - 1/3*t**3 + t**2 + 0. Factor l(r).
2*(r - 1)**2*(r + 1)
Let 8*v**4 - 11*v**2 - 11 + 32*v - 20*v**3 - v**2 + 27 = 0. Calculate v.
-1, -1/2, 2
Let c(w) be the second derivative of -w**6/1260 + w**5/105 - w**4/21 + w**3/2 + w. Let v(i) be the second derivative of c(i). Factor v(y).
-2*(y - 2)**2/7
Let v(r) = -2*r**5 - 3*r**4 - r**2 - 1. Let f(t) = -t**5 - t**4 + t**3 - t**2 - 1. Let q(i) = 5*f(i) - 5*v(i). Factor q(j).
5*j**3*(j + 1)**2
Let k(t) be the second derivative of -11*t**4/4 - t**3 + 42*t. Factor k(b).
-3*b*(11*b + 2)
Let y(x) be the first derivative of -x**7/840 + x**6/120 - x**4/6 + 4*x**3/3 + 1. Let j(h) be the third derivative of y(h). Determine t so that j(t) = 0.
-1, 2
Let y(s) be the second derivative of -s**6/30 - s**5/4 - 3*s**4/4 - 7*s**3/6 - s**2 + 3*s. What is q in y(q) = 0?
-2, -1
Suppose 3*t - 6*t - 9 = 5*f, -5*t = -3*f + 15. Let 0*x**2 + 1/3*x**4 + 0*x + f*x**3 - 1/3*x**5 + 0 = 0. What is x?
0, 1
Let l be (-1*1/(-8))/(23/138). Let l*c**4 + 3/2*c**3 + 0 + 0*c + 3/4*c**2 = 0. What is c?
-1, 0
Suppose 3*y = 2*r - 6, -2*r - 5*y + 65 = 3*r. Suppose 3*u**5 - r*u**5 - 12*u**3 - 24*u**2 - u + 22*u**4 + u + 16*u = 0. Calculate u.
-1, 0, 2/3, 2
Suppose 0*h + 4*h = 8. Factor w**3 + 2*w**2 - w**h - w - 2*w**2 + 1.
(w - 1)**2*(w + 1)
Let o(a) be the third derivative of -1/120*a**5 + 0 + a**2 + 1/6*a**3 + 0*a + 1/48*a**4. Factor o(h).
-(h - 2)*(h + 1)/2
Solve -f + f**3 - f**3 + 5*f**3 - 3*f**3 - f**5 = 0 for f.
-1, 0, 1
Let c(x) be the first derivative of 0*x + 2/3*x**3 + 4 + 1/4*x**2. Determine q, given that c(q) = 0.
-1/4, 0
Suppose -2*k + 7 = 1. Suppose 0 = k*y + 2*a, 0 = -y - 4*a - 1 - 9. Let x**5 + y*x**4 - x - x**2 - 2*x**2 + x**2 = 0. Calculate x.
-1, 0, 1
Let d(u) be the first derivative of 5*u**6/57 + 2*u**5/5 + 13*u**4/19 + 28*u**3/57 + u**2/19 - 2*u/19 - 6. Factor d(x).
2*(x + 1)**4*(5*x - 1)/19
Let -3/2 + 3/4*y**2 - 9/4*y**3 + 9/4*y + 3/4*y**4 = 0. What is y?
-1, 1, 2
Let b(s) be the first derivative of s**6/12 - s**5/30 - 5*s**4/24 + s**3/18 + s**2/6 + 3. Find h such that b(h) = 0.
-1, -2/3, 0, 1
Find q such that 3*q**3 + q**3 + q**4 + 4*q - 2*q**3 - 5*q**3 = 0.
-1, 0, 2
Suppose 0 = 8*r - 12*r + 24. Suppose r = 2*p + 2. Find x such that 1/2*x**4 + 0 + 0*x + x**3 + 1/2*x**p = 0.
-1, 0
Let q be 245/(-30)*(-9)/42. Suppose -5/4*v**4 - 3/4*v - 1/2 + 3/4*v**3 + q*v**2 = 0. What is v?
-1, -2/5, 1
Let g = -6 - -2. Let q = 1 - g. Factor -5*l**3 - l**2 + 3*l**2 - l**3 - l + q*l**3.
-l*(l - 1)**2
Let i(d) = d**3 + 7*d**2 - 14*d - 46. Let n be i(-8). Let 0*u**3 + 2/3*u**4 - 8/9*u**n + 0 - 2/9*u**5 + 0*u = 0. Calculate u.
-1, 0, 2
Let q(p) = -p**3 + p**2 - p + 1. Let z(f) = f**3 + 3*f**2 - f - 3. Let d(y) = 6*q(y) + 2*z(y). Factor d(m).
-4*m*(m - 2)*(m - 1)
What is h in 184 - 80*h - 244 - 5*h**3 - 18*h**2 - 17*h**2 = 0?
-3, -2
Let d(q) be the third derivative of 0*q**6 + 1/15*q**5 - 1/3*q**3 - q**2 + 0 + 0*q**4 - 1/105*q**7 + 0*q. Find y, given that d(y) = 0.
-1, 1
Let o(d) be the first derivative of 3/2*d**2 + 2 + 0*d - 1/18*d**3 - 1/36*d**4 - 1/180*d**5. Let x(w) be the second derivative of o(w). Factor x(a).
-(a + 1)**2/3
Suppose -6*y + 5*y**3 - 13*y**2 - y**3 + 15*y**2 - 2 + 2*y**3 = 0. Calculate y.
-1, -1/3, 1
Let n be (7 + (-216)/32)*3. Factor -1/4*h**4 + 0 - n*h**3 - 1/4*h - 3/4*h**2.
-h*(h + 1)**3/4
Let v(b) = -30*b**4 + 51*b**3 + 51*b**2 - 9*b + 21. Let t(y) = 3*y**4 - 5*y**3 - 5*y**2 + y - 2. Let q(s) = -21*t(s) - 2*v(s). Factor q(c).
-3*c*(c - 1)**2*(c + 1)
Let h(m) = m**3 - 4*m**2 + m - 3. Let l be h(4). Factor -2*z + 0*z**2 - 3 - z**2 - l + 3.
-(z + 1)**2
Let g = 75/2 + -37. Let c be -3 - -2 - (0 - 1). Determine h so that 0 + 0*h + g*h**4 + c*h**2 - 1/2*h**3 + h**5 = 0.
-1, 0, 1/2
Let p(c) be the second derivative of 2*c**7/63 - 8*c**6/45 - 6*c**5/5 - 20*c**4/9 - 14*c**3/9 + 8*c. Factor p(r).
4*r*(r - 7)*(r + 1)**3/3
Let c be ((-1)/2)/(9/(324/(-21))). Suppose -2/7*u**2 - 4/7 - c*u = 0. Calculate u.
-2, -1
Let o = 0 - -2. Suppose -3*w + 15 = o*w. Suppose 0*a**w - a**3 + 0*a + a = 0. What is a?
-1, 0, 1
Let g(v) be the third derivative of 0*v**4 + 0 + 1/10*v**7 + 1/20*v**5 + 1/8*v**6 - 6*v**2 + 0*v + 3/112*v**8 + 0*v**3. Factor g(k).
3*k**2*(k + 1)**2*(3*k + 1)
Let v(s) = 16*s**3 - 4*s**2 - 2*s + 18. Let z(i) = -11*i**3 + 2*i**2 + i - 12. Let k(p) = -5*v(p) - 7*z(p). Factor k(y).
-3*(y - 2)*(y - 1)*(y + 1)
Let r(t) be the second derivative of 0 - 1/60*t**5 - 1/12*t**4 + 2/3*t**2 + 0*t**3 + 6*t. Factor r(y).
-(y - 1)*(y + 2)**2/3
Let x = 6 + -3. Suppose 0*g - 15 = -x*g. Factor -2*d**g + d + 4*d**4 + d - 4*d**2 + 0*d.
-2*d*(d - 1)**3*(d + 1)
Let g(a) = 31*a - 155. Let b be g(5). Factor 6*w**4 + b*w - 4*w**3 + 0 + 2/3*w**2.
2*w**2*(3*w - 1)**2/3
Let a(r) be the first derivative of r**8/2100 - r**7/525 + r**5/75 - r**4/30 + 2*r**3 - 4. Let m(v) be the third derivative of a(v). Factor m(y).
4*(y - 1)**3*(y + 1)/5
Let g(t) be the third derivative of t**7/1260 + t**6/180 + t**5/60 + t**4/8 - 4*t**2. Let c(l) be the second derivative of g(l). Factor c(d).
2*(d + 1)**2
Let w(r) be the first derivative of 2*r**3/3 + r**2/2 - r + 15. Factor w(t).
(t + 1)*(2*t - 1)
What is n in 481*n**2 - 16*n**3 - 5*n**4 - 48