2*n. Suppose -t + 1 = 0, -2*t + n = 4*c - 10. Let 0*b**4 + 4*b**4 + 2*b**3 - c*b**4 + b**2 = 0. Calculate b.
-1, 0
Let d(m) be the third derivative of -m**8/1344 + m**7/210 - m**6/96 + m**5/120 - 29*m**2. Determine v, given that d(v) = 0.
0, 1, 2
Let t(l) = -l**3 - 2*l**2 + 0*l + 5*l**2 - l. Let g be t(2). Solve -2*j**3 + 2*j**4 + j**5 + j**5 - g*j**2 + 0*j**3 = 0.
-1, 0, 1
Let u be (-14 + 14)/(2*-1 + 0). Factor 2/11*p + u - 2/11*p**2.
-2*p*(p - 1)/11
Determine z, given that 0 + 2/3*z**3 + 4/3*z**4 + 0*z + 2/3*z**5 + 0*z**2 = 0.
-1, 0
Let b = 7 - 33/5. Let m(t) be the first derivative of -1/15*t**6 - 4/15*t**3 - 1/5*t**4 + 4 - b*t + 3/5*t**2 + 6/25*t**5. Factor m(g).
-2*(g - 1)**4*(g + 1)/5
Suppose -59*p**3 + 2*p**4 + 2*p**5 - 3*p**5 + 59*p**3 + p - 2*p**2 = 0. What is p?
-1, 0, 1
Let r be -1 + (0 - (-35)/25). Suppose -4/5*n + 14/5*n**2 - r - 8/5*n**3 = 0. What is n?
-1/4, 1
Let r(a) = -5*a**3 + a**2 + 7*a. Let b(j) = -4*j**3 + 6*j. Let y(i) = -3*b(i) + 2*r(i). Find f such that y(f) = 0.
-2, 0, 1
Let x = 35/17 + 46/85. Find t, given that -2/5 - x*t - 24/5*t**2 - 17/5*t**3 - 4/5*t**4 = 0.
-2, -1, -1/4
Let b(x) = -2*x**2 - 4*x - 3. Let t(u) = 5*u**2 + 11*u + 8. Let m(p) = -8*b(p) - 3*t(p). Find j, given that m(j) = 0.
0, 1
Let t(q) be the third derivative of q**6/20 + q**5/20 - q**4/4 - q**3/2 - 2*q**2. Solve t(f) = 0 for f.
-1, -1/2, 1
Let q(f) be the second derivative of 1/90*f**6 + 1/36*f**4 - 2*f + 0*f**3 + 0 + 1/30*f**5 + 0*f**2. Find z such that q(z) = 0.
-1, 0
Factor 69/5*r**3 + 0*r - 52/5*r**4 + 9/5*r**5 + 18/5*r**2 + 0.
r**2*(r - 3)**2*(9*r + 2)/5
Factor 0*h + 3/7*h**4 - 12/7*h**5 + 0 + 0*h**2 + 0*h**3.
-3*h**4*(4*h - 1)/7
Let f(y) be the second derivative of y**6/75 - 2*y**5/25 + y**4/6 - 2*y**3/15 - 9*y - 1. Find m, given that f(m) = 0.
0, 1, 2
Factor 0 + 0 - 102*r**3 + 106*r**3.
4*r**3
Let c(l) = 2*l + 11. Let d be c(-4). Let v(u) be the first derivative of -d - 1/6*u**4 - 4*u**2 + 4/3*u**3 + 16/3*u. Solve v(b) = 0 for b.
2
Let w(z) be the second derivative of -z**6/15 + z**4/2 - 2*z**3/3 - 18*z. Determine n so that w(n) = 0.
-2, 0, 1
Let c(b) be the second derivative of -b**7/4620 - b**6/1980 + b**5/660 + b**4/132 + 5*b**3/6 - 4*b. Let n(d) be the second derivative of c(d). Factor n(v).
-2*(v - 1)*(v + 1)**2/11
Let q be 6 - 1*(-3 - -6). Suppose 2*l**4 + 0*l**4 - l**3 - 2*l**2 + 0*l**4 + 3*l**5 - 2*l**q = 0. Calculate l.
-1, -2/3, 0, 1
Factor -4/7*h - 1/7*h**2 - 3/7.
-(h + 1)*(h + 3)/7
Let p(u) = 3*u. Let w(l) = 4*l. Let z(m) = 3*p(m) - 2*w(m). Let g be z(3). Factor d**4 + 0*d + 0*d + d + 3*d**g + 3*d**2.
d*(d + 1)**3
Factor 10*o**2 - 15*o**3 + 11*o**3 - 20*o**4 + 25*o - 5*o**5 - 10*o**3 - 6*o**3 + 10.
-5*(o - 1)*(o + 1)**3*(o + 2)
Let z = -2 + -11. Let y = z + 13. Suppose 2/7*l**2 + y + 2/7*l = 0. What is l?
-1, 0
Suppose 2*h = -5*w + 9, 2*h - 27 = 2*w - w. Let t be 11/h - (-6)/(-24). Factor 1/3*q**3 + q**4 + 0 - t*q + 1/3*q**5 - q**2.
q*(q - 1)*(q + 1)**2*(q + 2)/3
Let v(g) be the second derivative of -g**6/600 - g**5/150 - g**4/120 - 5*g**2/2 + 4*g. Let c(p) be the first derivative of v(p). Factor c(r).
-r*(r + 1)**2/5
Suppose 0 = 3*d - 3*z + 9, -2*d - d + 26 = 4*z. Factor 2*f - 4*f - f**2 + 6*f**3 + 3*f**2 + 2*f**d.
2*f*(f + 1)*(3*f - 1)
Let a be ((-2 - -2)/(-2))/(0 + -1). Let y(t) be the second derivative of -1/24*t**3 + 1/24*t**4 + a - 3*t - 1/4*t**2 + 1/80*t**5. Factor y(b).
(b - 1)*(b + 1)*(b + 2)/4
Let v(r) be the second derivative of 4*r**7/189 + 8*r**6/135 + r**5/90 - 7*r**4/54 - 5*r**3/27 - r**2/9 + 5*r. Determine m, given that v(m) = 0.
-1, -1/2, 1
Find h, given that -136*h**3 - 32*h**2 - 8*h**4 + 28*h**5 - 11*h**4 - 57*h**4 = 0.
-1, -2/7, 0, 4
Let v be 2 - 0 - (-4)/(-3). Find k, given that 0 + 2/3*k**2 - v*k = 0.
0, 1
Factor -2/5 - 4/5*h**2 - 1/5*h**3 - h.
-(h + 1)**2*(h + 2)/5
Let t(d) be the second derivative of 1/15*d**6 + 0*d**3 - 3*d + 0*d**2 + 1/12*d**4 + 0 - 3/20*d**5. What is r in t(r) = 0?
0, 1/2, 1
Solve -1/2*y**2 + 3/4*y + 1/4*y**5 + 1/2 + 0*y**4 - y**3 = 0.
-1, 1, 2
Suppose z + 4 = 4*q, 5*z + 5 = 4*q + 1. Factor -4*k + z*k + 4 + 5*k**2 - 4*k**2.
(k - 2)**2
Let c(o) = -30*o**2 + 61*o + 53. Let w(z) = -5*z**2 + 10*z + 9. Let n(b) = 6*c(b) - 34*w(b). Solve n(p) = 0 for p.
-2/5, 3
Let w = -41 - -43. Let l(j) be the first derivative of 1/3*j**3 - 3 - 3/4*j**4 + 0*j + j**w. Factor l(v).
-v*(v - 1)*(3*v + 2)
Let w(m) = 20*m**3 + 16*m**2 + 12*m - 8. Let a(x) = 7*x**3 + 5*x**2 + 4*x - 3. Let k(u) = 8*a(u) - 3*w(u). Determine o so that k(o) = 0.
-1, 0
Let d(c) be the third derivative of c**5/60 + c**4/8 + c**3/3 + 3*c**2. Let u be d(-3). Solve -k**3 + k**u - k**3 + 0*k**2 + k**3 = 0.
0, 1
Let w be (((-70)/(-12))/(-7))/(10/(-8)). Factor 0 - w*x + 2/3*x**2.
2*x*(x - 1)/3
Let g(c) be the first derivative of c**5/10 + 5*c**4/8 - 7*c**3/6 - 5*c**2/4 + 3*c + 33. Let g(b) = 0. What is b?
-6, -1, 1
What is n in 33*n**4 + 8*n**2 - 4*n - 3*n**3 + n**5 - 66*n**4 + 31*n**4 = 0?
-2, 0, 1, 2
Let n = 2/159 - -104/159. Determine j, given that 0*j**2 + 1/3 - n*j - 1/3*j**4 + 2/3*j**3 = 0.
-1, 1
Let f(l) be the first derivative of 3*l**5/20 - 3*l**4/4 + l**3 + 16. Suppose f(d) = 0. What is d?
0, 2
Let p(b) be the third derivative of -1/105*b**5 + 2/735*b**7 + 0*b + 0*b**6 + 1/84*b**4 - 2*b**2 + 0 + 0*b**3 - 1/1176*b**8. Suppose p(g) = 0. What is g?
-1, 0, 1
Let q(w) be the second derivative of w**6/180 - w**5/20 - w**4/24 + 5*w**3/9 - w**2 + 45*w. Factor q(m).
(m - 6)*(m - 1)**2*(m + 2)/6
Suppose -k**3 + 20*k**2 - 3*k**3 - 3*k**3 + 2*k**3 = 0. Calculate k.
0, 4
Let h(g) = -g**3 - 3*g**2 - 2*g - 3. Let p be h(-3). Let u = p + -3. Determine k so that 2*k**3 - 4/5*k**2 + 0 - 6/5*k**4 + u*k = 0.
0, 2/3, 1
Let v(x) be the third derivative of -x**9/720 + x**8/1120 + x**4/4 - 3*x**2. Let s(j) be the second derivative of v(j). Factor s(o).
-3*o**3*(7*o - 2)
Solve -6/5*m**2 - 8/5 + 16/5*m - 4/5*m**3 + 2/5*m**4 = 0 for m.
-2, 1, 2
Let f = 358 + -6449/18. Let l = 7/9 + f. Let -1/2*a**2 + l*a + 0 = 0. What is a?
0, 1
Suppose -4*s + 2*x + 5 + 19 = 0, s + 4*x - 24 = 0. Let u = -3 + s. Factor -2*m**3 - 4*m**3 + m**4 + u*m**3.
m**3*(m - 1)
Let r(j) = j. Let k be r(2). Let z = -5 - -7. Find l, given that 0*l - k*l**z - 2*l + 3*l + 3*l**2 = 0.
-1, 0
Let f be (-9)/(-6) - 15/(-6). Factor -4*d**3 - 5*d**4 - 18*d + 4*d + 16*d**2 + 2*d**5 + 0*d**5 + 4 + d**f.
2*(d - 1)**4*(d + 2)
Factor 18*r + 24*r**2 + 26/3*r**3 + r**4 - 9.
(r + 3)**3*(3*r - 1)/3
What is a in 1/5*a + 0 - 1/5*a**2 = 0?
0, 1
Let v(n) = -n**3 - n**2 + 2*n + 2. Let i be v(-2). Suppose 2*l = -i*l. Determine g, given that 0*g**3 + 0*g + l - 2/5*g**4 + 0*g**2 = 0.
0
Let u be 2/(-3) - (-16)/6. Suppose -u + 4 = -2*h - 2*z, 3*h - z - 1 = 0. Determine x so that -6*x**2 + x**3 - 2 - 3*x**3 - 6*x + h*x**3 = 0.
-1
Factor 6*d**2 + 15*d**2 + 11*d + 14*d + 2*d + 6.
3*(d + 1)*(7*d + 2)
Let s be (-80)/(-50) + (-4)/(-10). Factor -3*h**2 + 3*h**4 - h**s + h**2.
3*h**2*(h - 1)*(h + 1)
Let w(l) be the second derivative of -l**4/16 - l**3/4 - 3*l**2/8 + 7*l. Solve w(i) = 0 for i.
-1
Let z be 4 - (-30)/(-7) - 4/(-14). Let r(g) be the first derivative of z*g + 1/3*g**3 + 2 - 3/2*g**2. What is s in r(s) = 0?
0, 3
Suppose -2*o + 19 = 4*b - 5, -3*o - 5*b + 31 = 0. Let t(n) be the first derivative of 0*n + 1/9*n**3 + 2 - 1/3*n**o. What is s in t(s) = 0?
0, 2
Let i(p) be the first derivative of 15*p**4/4 - 3*p**3 - 3*p**2 - 4. Factor i(o).
3*o*(o - 1)*(5*o + 2)
Find d, given that 54/7*d**4 - 162/7*d**3 - 8/7 - 10*d - 198/7*d**2 = 0.
-1/3, 4
Let l(f) be the second derivative of -f**7/231 + f**6/165 + 3*f**5/110 - f**4/66 - 2*f**3/33 + 8*f. Suppose l(x) = 0. Calculate x.
-1, 0, 1, 2
Factor -1/4*d**4 + 1/2*d + 1/4*d**2 - 3/4*d**3 + 1/4*d**5 + 0.
d*(d - 2)*(d - 1)*(d + 1)**2/4
Let h = 825 + -819. Factor -h*s + 7/2*s**2 - 2.
(s - 2)*(7*s + 2)/2
Let j(l) be the second derivative of -5*l**4/96 + l**3/4 - l**2/4 + 10*l. Let j(w) = 0. Calculate w.
2/5, 2
Factor 6 + m**2 + 4*m + 2*m**2 - m**2 - 4*m**2.
-2*(m - 3)*(m + 1)
Let o be (9/(-6))/(2/(-4)). Find f, given that 3*f - 11*f**2 - o*f**3 + 8*f**2 + 4 - 4 + 3 = 0.
-1, 1
Suppose h - 4*r - 6 = 0, 2*h + 0*r = -2*r + 2. Let k(a) be the first derivative of 1/6*a**h + 0*a - 1/9*a**3 + 2. Factor k(c).
-c*(c - 1)/3
Factor -3*k**2 + 0*k**3 + 3*k**3 - 6*k**3.
-3*k**2*(k + 1)
Let z(g) 