 -t**4/12 - 2*t**3/9 - t**2/6 - 36. Solve v(p) = 0.
-1, 0
Suppose 0 = 2*x - x - 2. Let m(u) = -x*u**2 + u**2 - u**3 + 10*u - 9*u. Let l(b) = 4*b**3 + 10*b**2 - 8*b. Let v(r) = l(r) + 6*m(r). Factor v(o).
-2*o*(o - 1)**2
Factor 3/4*n**2 + 6 - 27/4*n.
3*(n - 8)*(n - 1)/4
Let u(j) be the third derivative of 0 + 0*j - 1/336*j**8 + 0*j**5 + 0*j**3 + 4*j**2 + 1/60*j**6 + 0*j**7 - 1/24*j**4. Suppose u(k) = 0. Calculate k.
-1, 0, 1
Let p(t) be the second derivative of -t**6/50 - 9*t**5/5 - 135*t**4/2 - 1350*t**3 - 30375*t**2/2 - 4*t + 1. Let p(n) = 0. Calculate n.
-15
Let b(c) = -c**2 + 5*c - 2. Suppose 0 = -5*w - 17 - 3, -z - 13 = 4*w. Let s be b(z). Solve 3*f**s + 0*f**4 - 2*f**3 - 5*f**4 + 3*f**4 + f**2 = 0.
0, 1
Let a be ((1 - 0) + -2)*9/(-18). Factor -2*m - 2 - a*m**2.
-(m + 2)**2/2
Let j(v) = v**3 + 8*v**2 - 2*v - 10. Let w be j(-8). Let c be w/20*15/18. Factor 1/4*b**2 - c*b - 1/4 + 1/4*b**3.
(b - 1)*(b + 1)**2/4
Let w = 24 + -9. Factor -k**2 + 3*k + 4*k**2 - w*k.
3*k*(k - 4)
Let a(s) be the second derivative of -s**4/84 + s**3/21 - s**2/14 - 12*s. Factor a(g).
-(g - 1)**2/7
Let y(j) be the third derivative of j**8/84 + 2*j**7/105 - j**6/5 + 2*j**5/15 + 5*j**4/6 - 2*j**3 - 10*j**2. Determine t so that y(t) = 0.
-3, -1, 1
Let p(l) be the third derivative of l**6/660 - l**5/55 + l**4/11 - 8*l**3/33 + 5*l**2. Solve p(f) = 0 for f.
2
Suppose 0 = -4*k + 3 + 37. Let r be (-2)/6*(-12)/k. Let 2/5*n + r*n**2 - 2/5 - 2/5*n**3 = 0. What is n?
-1, 1
Suppose 0 = -2*o - 5*a + 7, 26 = 4*o + a - 3*a. Let t(g) be the third derivative of 1/28*g**4 + 0*g + 0*g**5 + 0 + 2*g**2 + 1/21*g**3 - 1/105*g**o. Factor t(d).
-2*(d - 1)*(2*d + 1)**2/7
Let m(o) be the second derivative of o**5/20 + 5*o**4/12 + 4*o**3/3 + 2*o**2 + o. Determine s so that m(s) = 0.
-2, -1
Let x = -49 + 21. Let o be (x/(-6) - 2) + -2. Suppose 0*a**2 - o*a**3 + 1/3*a**4 - 1/3 + 2/3*a = 0. What is a?
-1, 1
Let f(p) = p**3 - 7*p**2 + p - 5. Let r be f(7). Suppose -2/3*v + 0 + 2/3*v**2 + r*v**4 + 10/3*v**3 = 0. What is v?
-1, 0, 1/3
Let m(y) be the first derivative of -2/11*y + 2/33*y**3 - 1 + 0*y**2. Factor m(a).
2*(a - 1)*(a + 1)/11
Let w(i) be the second derivative of -i**6/45 + i**5/15 - i**4/18 - 14*i. Determine v so that w(v) = 0.
0, 1
Find l such that -4/5 - 2*l + 6/5*l**2 = 0.
-1/3, 2
Let s(l) be the first derivative of 4*l**3/3 - 16*l + 8. Factor s(x).
4*(x - 2)*(x + 2)
Let 57/4*l**2 - 3*l**3 - 33/4*l - 3 = 0. What is l?
-1/4, 1, 4
Suppose -3*c = c - 8. Let s(o) = 12*o**3 - 195*o**2 + 300*o - 144. Let k(t) = -t**3 + 15*t**2 - 23*t + 11. Let h(u) = c*s(u) + 27*k(u). Factor h(i).
-3*(i - 3)*(i - 1)**2
Factor 3*d + 3/5*d**2 + 0.
3*d*(d + 5)/5
Suppose -7 = -6*o + 3*o - y, 0 = 4*y + 8. Factor -5*a**3 + o*a**3 - 2*a + a**2 - 2*a**2 - 3*a**2.
-2*a*(a + 1)**2
Let q(l) be the first derivative of 7*l**4/22 + 32*l**3/33 + 4*l**2/11 + 5. Let q(t) = 0. What is t?
-2, -2/7, 0
Let j(f) be the second derivative of -f**8/1344 - f**7/360 - f**6/360 - 5*f**4/12 - 3*f. Let d(g) be the third derivative of j(g). Factor d(w).
-w*(w + 1)*(5*w + 2)
Suppose -3 = 3*k + 6. Let q be 18/6 + 8/k. What is a in -1/3*a**3 + 1/3*a**2 + q*a - 1/3 = 0?
-1, 1
Let x be 5 + (-485)/105 + (-8)/(-28). Factor -2/3*h**5 + 4/3*h**2 - 4/3*h**4 + x*h + 0 + 0*h**3.
-2*h*(h - 1)*(h + 1)**3/3
Let v(f) be the second derivative of f**7/77 - 7*f**6/165 + 3*f**5/110 + f**4/22 - 2*f**3/33 - 5*f. Suppose v(g) = 0. What is g?
-2/3, 0, 1
Factor -3/2*s + 3*s**4 + 0 + 3/2*s**5 - 3*s**2 + 0*s**3.
3*s*(s - 1)*(s + 1)**3/2
Let a be 2/(-5)*(-1)/4. Let g(x) be the second derivative of 1/6*x**4 - 1/3*x**3 + a*x**5 + 0 - x - x**2. Factor g(p).
2*(p - 1)*(p + 1)**2
Let l(d) be the second derivative of d**6/120 - d**4/48 - 6*d. What is v in l(v) = 0?
-1, 0, 1
Let p(n) = -n + 10. Let q be p(12). Let u be -1 + q*(-1 - 1). Let -3*x**4 + 2*x**3 + 4*x**4 + 3*x - 2 - 5*x**u + x**2 + 0*x**3 = 0. Calculate x.
-1, 1, 2
Let m = 717/1043 - -4/149. Let b = m - 11/35. Suppose 0*p + b*p**3 + 0 + 0*p**2 = 0. Calculate p.
0
Find i such that 25 - 3*i**2 + 5*i**3 - 25 + i**2 = 0.
0, 2/5
Let t(p) be the first derivative of p**8/3360 - p**6/360 + p**4/48 - p**3/3 + 1. Let g(j) be the third derivative of t(j). Determine o so that g(o) = 0.
-1, 1
Let a(f) = 4 + f**2 - 4. Let k(d) be the third derivative of -d**5/30 - d**4/6 + d**3/3 - d**2. Let c(v) = 4*a(v) + k(v). Solve c(y) = 0 for y.
1
Let i(g) be the second derivative of 0 + 1/42*g**7 - 1/20*g**5 + 0*g**6 + 0*g**3 + 0*g**4 - 3*g + 0*g**2. Find a, given that i(a) = 0.
-1, 0, 1
Let z(d) be the third derivative of d**8/336 + 2*d**7/105 + d**6/20 + d**5/15 + d**4/24 - 6*d**2. Suppose z(x) = 0. Calculate x.
-1, 0
Determine h so that 17*h**2 - 32*h**2 - 2*h + 16*h**2 + h**3 = 0.
-2, 0, 1
Let j = -84 - -87. Let o(w) be the first derivative of 0*w - 1/2*w**2 - 1/3*w**j - 4. Let o(i) = 0. What is i?
-1, 0
Factor -1/4*v**2 + 0 - 1/2*v + 1/2*v**3 + 1/4*v**4.
v*(v - 1)*(v + 1)*(v + 2)/4
Suppose 0 = -4*k - k. Suppose 4*m = 4*s + s - 31, k = 2*s + 3*m + 6. Solve 0*q**4 - 2*q + 2*q**4 + s*q - 2*q**2 - q**3 = 0.
-1, 0, 1/2, 1
Solve -3*l**3 - 4*l**2 - 4/3*l + 0 = 0.
-2/3, 0
Let g(o) be the first derivative of -o**6/18 + o**4/2 - 8*o**3/9 + o**2/2 - 4. Factor g(b).
-b*(b - 1)**3*(b + 3)/3
Factor 1/6*s - 1/6*s**2 + 0.
-s*(s - 1)/6
Factor 12/5*z + 2 + 2/5*z**2.
2*(z + 1)*(z + 5)/5
Factor -28*w**4 - 8*w**5 - 73/2*w**3 - 43/2*w**2 - 11/2*w - 1/2.
-(w + 1)**3*(4*w + 1)**2/2
Suppose 4 = 3*q - 2*x + 3*x, 8 = -2*q + 2*x. Factor -1/4*c**3 + 0 + 0*c + q*c**2.
-c**3/4
Let v(t) be the second derivative of t**6/90 - 3*t. Factor v(b).
b**4/3
Let h(o) be the second derivative of o**5/80 + 3*o**4/64 - o**3/8 + 3*o**2 - 2*o. Let c(k) be the first derivative of h(k). Factor c(m).
3*(m + 2)*(2*m - 1)/8
Suppose 0 = -2*v - 8, 5*n = 2*v + 4 + 14. Let h(f) be the first derivative of 1/3*f**n - 1 + 1/9*f**3 + 0*f. Factor h(t).
t*(t + 2)/3
Let z be 2*(1 - 5 - -1). Let v(n) = -n**2 - 5*n + 6. Let w be v(z). Find t such that w*t - 2/5 + 2/5*t**2 = 0.
-1, 1
Let i(d) be the first derivative of -d**6/33 - 4*d**5/11 - 25*d**4/22 - 33. Let i(s) = 0. Calculate s.
-5, 0
Let a(w) be the third derivative of -w**5/30 + w**4/12 - w**2. Let a(x) = 0. Calculate x.
0, 1
Factor 16 + 13*n + 24*n + 28*n**2 + 3*n + 6*n**3.
2*(n + 2)**2*(3*n + 2)
Let i = 161/310 - 3/155. Factor q + 1/2*q**2 + i.
(q + 1)**2/2
Let y(d) be the second derivative of -3*d**5/40 - d**4/4 + d**3/4 + 3*d**2/2 - 16*d. Factor y(b).
-3*(b - 1)*(b + 1)*(b + 2)/2
Suppose 5*o + 13 = 4*r, 2*r - 9 = 2*o + 3*o. Let g(m) be the first derivative of 4 - 2/3*m**3 + r*m + 0*m**2. Factor g(l).
-2*(l - 1)*(l + 1)
Suppose 0*w = -3*w. Suppose w = y + 1, -4*t + 8 = t + 2*y. Factor 0 + 1/5*q**t - 1/5*q.
q*(q - 1)/5
Determine n so that -12*n**4 - 4*n**4 + 4*n**4 + 12*n**3 + 3*n**5 = 0.
0, 2
Let p = 187/3 - 62. Determine l so that 2/3*l - 1/3 - p*l**2 = 0.
1
Let r be (-5)/(-10) - (18/4)/(-3). What is s in 1/3*s**r - 2/3 + 1/3*s = 0?
-2, 1
Let h(g) be the first derivative of -1/3*g**3 + 0*g**2 + g - 1/10*g**5 + 1/3*g**4 + 4. Let n(m) be the first derivative of h(m). Factor n(d).
-2*d*(d - 1)**2
Let z = -53017/5 + 10738. Let x = z + -134. Factor -3/5*w**4 + 3/5*w**3 + x*w**2 + 0 - 3/5*w.
-3*w*(w - 1)**2*(w + 1)/5
Factor 0 - 1/2*f - 1/4*f**2.
-f*(f + 2)/4
Let z be (-2 - -2)/(1/1). Factor z*l + 2*l + 2*l**2 - l**2 + l**2.
2*l*(l + 1)
Let r(x) be the second derivative of -x**6/75 - 3*x**5/25 + 4*x**4/5 - 26*x**3/15 + 9*x**2/5 + 9*x. Determine j so that r(j) = 0.
-9, 1
Let u(n) = -7*n**3 - 3*n + 8. Let j(g) = -15*g**3 - 7*g + 17. Let p(f) = 6*j(f) - 13*u(f). Factor p(s).
(s - 2)*(s + 1)**2
Let t(v) be the second derivative of 0*v**4 + 0*v**5 + 0 - 1/105*v**7 + v + 0*v**3 - 2/75*v**6 + 0*v**2. Factor t(r).
-2*r**4*(r + 2)/5
Determine g so that -3*g**2 - 3 + 8*g - 3*g - 11*g = 0.
-1
Let n = -2/45 + 17/45. Let w(a) be the second derivative of -a - n*a**3 + 0 + 2/9*a**2 + 7/54*a**4. Factor w(m).
2*(m - 1)*(7*m - 2)/9
Suppose 0*a = 3*a + 18. Let m = -4 - a. What is d in 3*d**2 + d**3 + 0*d**m - d**2 - d - 1 - d**2 = 0?
-1, 1
Let p be (-1452)/847*(0 - 2/4). Let -4/7*x**3 + 2/7 - p*x**2 + 0*x = 0. Calculate x.
-1, 1/2
Let x(d) be the second derivative of 0 + 0*d**3 + 1/18*d**4 - 1/3*d**2 - 2*d. Let x(l) = 0. Calculate l.
-1, 1
Let z(n) be the s