 5 - 17 - 2*p**2 + 4*p**2. Let x(t) = f*u(t) - 3*w(t). Factor x(v).
2*(v - 1)*(v + 2)**2
Factor -3*a**4 + 2*a**5 - 3*a**4 + 3*a**3 + a**5.
3*a**3*(a - 1)**2
Let b be 3 - (-1 + 2 - 2). Factor 5*o**5 - b*o**5 + 0*o**5 + o**4.
o**4*(o + 1)
Factor -288 - 19*i**2 - 240*i - 2*i**3 + 7*i**2 + 58*i**2.
-2*(i - 12)**2*(i + 1)
Let x(j) be the third derivative of 4*j**2 + 0*j**3 + 0*j**4 + 1/780*j**6 + 0*j + 0 + 1/390*j**5. Find u, given that x(u) = 0.
-1, 0
Let j(u) be the third derivative of u**8/448 - u**7/70 + u**6/60 + u**4/4 - 2*u**2. Let l(w) be the second derivative of j(w). Let l(h) = 0. What is h?
0, 2/5, 2
Let q(i) = -i**2 - 11*i - 8. Let m(z) = z - 10. Let p be m(0). Let w be q(p). Factor -9/5*n - 7/5*n**w - 2/5.
-(n + 1)*(7*n + 2)/5
Let z(k) be the second derivative of k**7/21 - k**6/5 + k**5/5 + k**4/3 - k**3 + k**2 + 2*k. Find x such that z(x) = 0.
-1, 1
Let o be 2/(-3) - 38/(-57). Let n(h) be the third derivative of 0*h**3 + h**2 + 0*h**5 + o*h**4 - 1/175*h**7 + 0 - 1/150*h**6 + 0*h - 1/840*h**8. Factor n(a).
-2*a**3*(a + 1)*(a + 2)/5
Suppose 2*b + 3*b = 10. Factor -2 + 0*p**2 - b*p**2 - 3*p + 7*p.
-2*(p - 1)**2
Suppose -1/2 + 1/2*z**2 + 0*z = 0. Calculate z.
-1, 1
Let f be 8/5*(-10)/(-4). Suppose 2*q - f*q = -8. Suppose -14*o**q - 4 + 18*o**2 - 5*o**3 + o**3 - 10*o + 14*o**3 = 0. What is o?
-1, -2/7, 1
Let i(n) be the third derivative of -n**8/84 - 4*n**7/105 - n**6/30 - 8*n**2. Suppose i(d) = 0. What is d?
-1, 0
Let j = 0 + 3. Factor 7*f - j*f**3 - 7*f - f**2.
-f**2*(3*f + 1)
Let j = -7 - -10. Let o(a) be the second derivative of 1/80*a**5 + 0*a**j + 0 + 0*a**2 + 1/48*a**4 - a. What is r in o(r) = 0?
-1, 0
Let p(o) = 5*o**4 + 5*o**3 - 5*o**2 + 3*o - 4. Let z(g) = 14*g**4 + 14*g**3 - 14*g**2 + 8*g - 11. Let y(h) = -11*p(h) + 4*z(h). What is k in y(k) = 0?
-1, 0, 1
Suppose -18 = -4*x + 30. Suppose 0 = -a - 2*a + x, -4*c = -a - 16. Factor -2*w**4 + w**3 - w**c + w**4 + w**2 - w + w.
-w**2*(w - 1)*(w + 1)**2
Factor 0 - n**3 + 3/2*n**2 - 1/2*n.
-n*(n - 1)*(2*n - 1)/2
Suppose 3*c + 4*c = 98. Suppose 0 = 18*y - c*y. Suppose -12/5*r**4 + r**5 - 2/5*r**2 + y*r + 0 + 9/5*r**3 = 0. What is r?
0, 2/5, 1
Let f(a) = -19*a**3 - a**2 + a + 1. Let x be f(-1). Let q = x - 16. Solve -2/5*i**4 + 0 + 2/5*i**q - 2/5*i**3 + 2/5*i = 0.
-1, 0, 1
Let g(z) be the first derivative of -3*z**5/5 + 3*z**4/2 + 4*z**3 - 12*z**2 - 1. What is m in g(m) = 0?
-2, 0, 2
Let b be ((-3)/(3*-3))/((-2)/(-12)). Factor -4/7 - 4/7*k**b + 10/7*k.
-2*(k - 2)*(2*k - 1)/7
Let o be 18/3*((-15)/10 + 2). Factor -8/5*b - 2/5 + 2/5*b**2 + 8/5*b**o.
2*(b - 1)*(b + 1)*(4*b + 1)/5
Let j(m) be the first derivative of 7*m**5/20 - 4*m**4/3 + 2*m**3/3 - 2*m - 1. Let u(g) be the first derivative of j(g). Factor u(b).
b*(b - 2)*(7*b - 2)
Let q(o) be the second derivative of -4*o**7/21 - 11*o**6/15 - 9*o**5/10 - o**4/6 + o**3/3 - 10*o. Factor q(b).
-2*b*(b + 1)**3*(4*b - 1)
Let -22/3*q**3 - 10*q**2 - 4/3 - 6*q - 2*q**4 = 0. Calculate q.
-1, -2/3
Let z = 114 + -114. Let n(c) be the first derivative of -1/22*c**4 + 2/33*c**3 + 1/33*c**6 + 0*c + z*c**2 - 1 - 2/55*c**5. What is v in n(v) = 0?
-1, 0, 1
Factor -8/3*b + 2/9*b**4 + 26/9*b**2 - 4/3*b**3 + 8/9.
2*(b - 2)**2*(b - 1)**2/9
Let c(s) be the third derivative of s**9/30240 - s**8/10080 - s**7/2520 + s**6/360 - s**5/30 + 3*s**2. Let r(v) be the third derivative of c(v). Factor r(h).
2*(h - 1)**2*(h + 1)
Let n be (-369)/(-21) - 16/28. Factor -21*u + 19 - n*u**2 - 28 + 2*u**2 - 3*u**3.
-3*(u + 1)**2*(u + 3)
Let v(z) = -z**2 - 6*z - 5. Let q be v(-4). Suppose 3*n = -2*n + 10. Determine a so that -2 - a**2 - n*a + a**q + 3*a**2 + a = 0.
-2, -1, 1
Find v, given that -2/3*v - 4*v**2 + 2/3*v**3 + 4 = 0.
-1, 1, 6
Let 4 + 39*i + 11*i**3 + 6*i**3 - 24*i**2 - 33*i - 3*i**3 = 0. What is i?
-2/7, 1
Let q(h) be the third derivative of h**5/270 - h**4/54 + h**3/27 - 7*h**2. Solve q(j) = 0.
1
Let v(u) = u**3 + 3*u**2 - 5*u - 1. Let l be v(-4). Find c, given that 1/4*c**2 - 1/4 - 1/4*c + 1/4*c**l = 0.
-1, 1
Let o = 87 + -85. Suppose i = -x - 2, -5*i = x + 4 + 6. Factor x*a + 0*a**3 - 2/3*a**4 + 2/3*a**5 + 0 + 0*a**o.
2*a**4*(a - 1)/3
Let v(f) = -f**2 + 2*f + 5. Let s be v(5). Let n(y) = y**3 + 10*y**2 + 4. Let t be n(s). What is l in -3*l**4 - 1 + 0 + 2*l**2 + 2*l**t + 2*l**3 - l - l**5 = 0?
-1, 1
Suppose 12*z = -9 + 45. Let c(k) be the second derivative of 3/4*k**4 + 0*k**2 + z*k + 0 + 1/3*k**3. Factor c(x).
x*(9*x + 2)
Let b be 12/(-150)*(-10)/1. Let p(m) be the second derivative of -3*m + 0 - 3/10*m**4 - 4/5*m**2 - b*m**3. Factor p(g).
-2*(3*g + 2)**2/5
Let m(t) be the first derivative of -4*t - 1/12*t**4 - 1/20*t**5 - 4 + 1/2*t**2 + 1/6*t**3. Let d(q) be the first derivative of m(q). Factor d(w).
-(w - 1)*(w + 1)**2
Let l = 45 + -43. Factor 4/7 + 2/7*u**l - 6/7*u.
2*(u - 2)*(u - 1)/7
Let b(g) = 22*g + 22. Let l be b(-1). Find a, given that 2*a + l*a**2 + 0 - 1/2*a**3 = 0.
-2, 0, 2
Factor -81/4 - 25/4*b**2 - 45/2*b.
-(5*b + 9)**2/4
Find g such that 6*g - 10*g**3 - 14*g**4 + 18*g**2 + 3*g + g + 2 - 6 = 0.
-1, 2/7, 1
Let n(w) be the second derivative of -3*w + 1/3*w**3 - 1/12*w**4 - 1/20*w**5 + 0 + 0*w**2. Let n(v) = 0. What is v?
-2, 0, 1
Factor 0*y - 1/2*y**3 + 0 + 1/2*y**2.
-y**2*(y - 1)/2
Let h(v) be the first derivative of 5 - v**2 + 1/9*v**3 + 3*v. Let h(i) = 0. Calculate i.
3
Let x(l) = -4*l**2 - 19*l - 20. Let c(u) = 2*u**2 + 9*u + 10. Let b(y) = 5*c(y) + 3*x(y). Factor b(j).
-2*(j + 1)*(j + 5)
Let s(t) be the third derivative of -t**8/672 - t**7/210 + t**6/240 + t**5/60 - 5*t**2. What is d in s(d) = 0?
-2, -1, 0, 1
Let j(b) = b**4 - b**3 + 1. Let a(m) = 12*m**4 + 67*m**3 + 139*m**2 + 90*m + 21. Let k(g) = 2*a(g) - 10*j(g). Find h such that k(h) = 0.
-8, -1, -2/7
Let g(h) = h**2 + 3*h - 4. Let x be g(-4). Factor -2*f**2 - 6*f**4 + 2*f**5 + x*f**5 + 0*f**3 + 6*f**3.
2*f**2*(f - 1)**3
Let c(d) be the third derivative of -d**6/960 - d**5/240 - d**4/192 + 32*d**2. Factor c(n).
-n*(n + 1)**2/8
Suppose f = 4*b - 172, f + 3*f + 142 = 3*b. Let v be ((-4)/(-14))/(6/b). Factor -2/9 + 2/9*y**3 - 2/9*y + 2/9*y**v.
2*(y - 1)*(y + 1)**2/9
Let g = 102 - 102. Determine v so that 1/2*v**2 + 0*v**3 + g + 1/4*v**5 - 1/4*v - 1/2*v**4 = 0.
-1, 0, 1
Let y(z) = 26*z + 78. Let a be y(-3). Solve -1/2*x**4 + 0 + 1/2*x**2 + 0*x + a*x**3 = 0.
-1, 0, 1
Let v(l) = -3*l**2 - 3*l. Let m(c) = -c - 8. Let p be m(9). Let q(y) = 9*y**2 + 9*y. Let x(u) = p*v(u) - 6*q(u). Factor x(j).
-3*j*(j + 1)
Let l = 24/55 + -128/495. Let c(b) be the third derivative of -l*b**5 - 2/9*b**3 - 2*b**2 - 11/36*b**4 - 7/180*b**6 + 0 + 0*b. Factor c(n).
-2*(n + 1)**2*(7*n + 2)/3
Let m(n) = -n**3 + 6*n**2 + 7*n + 5. Let q be m(7). Suppose 0*z**3 - 2/5*z**4 - 1/5*z**q + 1/5*z + 2/5*z**2 + 0 = 0. What is z?
-1, 0, 1
Suppose 10610*j - 12*j**2 - 10610*j - 3*j**4 + 12*j**3 = 0. What is j?
0, 2
Let m(n) be the third derivative of 2*n**7/945 + 2*n**6/135 + n**5/27 + n**4/27 + n**2. Let m(g) = 0. Calculate g.
-2, -1, 0
Let o(c) be the third derivative of c**7/2520 - c**6/360 + c**5/120 - c**4/8 + 3*c**2. Let b(n) be the second derivative of o(n). What is q in b(q) = 0?
1
Let y = -241071/1666 + -23/1666. Let q = y + 145. Suppose -2/7*c**3 + 0 + 0*c - q*c**2 = 0. Calculate c.
-1, 0
Let o(c) be the first derivative of -2*c**3/27 + 7. Factor o(k).
-2*k**2/9
Factor 2 + 32*j**2 + 2*j + 4*j**4 + 20*j**3 + 14*j - 2.
4*j*(j + 1)*(j + 2)**2
Suppose -3 = 4*j - 15. Let f = 35 + -104/3. Factor 1/3*w**j + 0 - 1/3*w**2 - f*w + 1/3*w**4.
w*(w - 1)*(w + 1)**2/3
Factor 7*n - 24*n**2 - 2*n**4 + 10*n + 3*n + 12*n**3 - 6.
-2*(n - 3)*(n - 1)**3
Let c be (45/3)/5 + 0. Suppose 3/4*u**2 + 0 + 9/4*u**c - 3/2*u**5 - 3/4*u - 3/4*u**4 = 0. Calculate u.
-1, 0, 1/2, 1
Let j be 2/7 + 285/105. Suppose -2/3*a**2 + 0*a + 0 - 1/3*a**j = 0. What is a?
-2, 0
Suppose 8*h - 4 = 4*h. Suppose -4*u = -9 + h. Factor -2*r**5 - 2*r**2 + 4*r**3 + r**2 - u*r + r**2.
-2*r*(r - 1)**2*(r + 1)**2
Suppose -30*x + 42 = -23*x. Let i(f) be the second derivative of 1/18*f**4 - 1/18*f**3 + 0 - 1/45*f**x + 0*f**2 + 0*f**5 + 1/126*f**7 + 4*f. Factor i(q).
q*(q - 1)**3*(q + 1)/3
Let h(y) be the first derivative of -y**4/4 - 2*y**3/3 - y**2/2 - 4. Factor h(d).
-d*(d + 1)**2
Let n be 322/480 + (-14)/21. Let b(l) be the third derivative of -2*l**2 + 1/96*l**4 + n*l**5 + 0*l**3 + 0 