 - 18/7*h**2 - f*h = 0.
-1/3
Suppose -24*l**3 + 6*l**2 - 33/2*l**4 + 0*l + 27/2*l**5 + 0 = 0. Calculate l.
-1, 0, 2/9, 2
Let f(l) = -2*l**2 + 117*l - 58. Let g be f(58). Factor -r**2 - 2/3*r + 1/3*r**4 + 0*r**3 + g.
r*(r - 2)*(r + 1)**2/3
Suppose -5*m - 8 = -l - 20, 2*m - 2 = -l. Let g = 2 - m. Factor v**2 + g*v**2 + 8*v - 6 - 3*v**2.
-2*(v - 3)*(v - 1)
Find h such that -3*h - 2*h**3 + 22*h + 36 - 4*h**2 - h = 0.
-3, -2, 3
Let k = 36 + -42. Let g(m) = 9*m**2 + 6*m - 3. Let x(r) = -4*r**2 - 3*r + 1. Let u(i) = k*g(i) - 14*x(i). Let u(d) = 0. What is d?
-2, -1
Let b = -29 - -26. Let r(f) = -8*f**3 + 8*f**2 + 7*f - 3. Let t(j) = 17*j**3 - 17*j**2 - 13*j + 7. Let x(q) = b*t(q) - 7*r(q). Solve x(i) = 0 for i.
-1, 0, 2
Let r = 174 - 169. Let f(q) be the third derivative of 0 + 0*q**3 - q**2 + 1/60*q**6 + 0*q**4 + 1/15*q**r + 0*q. Determine y, given that f(y) = 0.
-2, 0
Factor 53/2 + 51/2*b**2 + 105/2*b - 1/2*b**3.
-(b - 53)*(b + 1)**2/2
Let x be (-12)/(288/(-66)) - (-1)/(-4). What is y in -19/6*y**3 - x*y**4 + 0 + 0*y**2 + 2/3*y = 0?
-1, -2/3, 0, 2/5
Let n(x) be the third derivative of 0*x + 0 - 1/168*x**4 - 1/210*x**5 + 0*x**3 - 1/840*x**6 + 7*x**2. Suppose n(k) = 0. What is k?
-1, 0
Let p(m) be the third derivative of m**5/30 - 5*m**4/12 + 4*m**3/3 - 55*m**2. Let p(z) = 0. What is z?
1, 4
Let c(z) be the second derivative of z**5/4 - 5*z**4/2 + 15*z**3/2 - 10*z**2 + 548*z. What is a in c(a) = 0?
1, 4
Determine b so that 0 - 4/7*b**3 - 24/7*b**2 - 32/7*b = 0.
-4, -2, 0
Determine b, given that -110/7*b**3 - 50/7*b**4 - 58/7*b**2 + 2*b + 12/7 = 0.
-1, -3/5, 2/5
Let n(d) be the second derivative of -d**4/78 + 3*d**3/13 - 14*d**2/13 - d + 11. Factor n(g).
-2*(g - 7)*(g - 2)/13
Let b(c) be the second derivative of c**5/50 + 11*c**4/10 - 23*c**3/5 + 7*c**2 - 2*c - 11. Solve b(y) = 0 for y.
-35, 1
Suppose 0 = -48*i + 59*i - 66. Let u(n) be the second derivative of -5/21*n**i - 92/21*n**4 - 7*n + 32/7*n**3 - 16/7*n**2 + 12/7*n**5 + 0. Factor u(p).
-2*(p - 2)**2*(5*p - 2)**2/7
Suppose 0 = 2*o - 3*o. Factor -8/21 + o*t - 2/21*t**3 + 2/7*t**2.
-2*(t - 2)**2*(t + 1)/21
Let l be 3 - 1 - 4/(2/(-1)). Let g(j) be the third derivative of 3*j**2 + 0 + 0*j**3 + 0*j - 1/60*j**5 + 1/24*j**l. Factor g(q).
-q*(q - 1)
Let o(v) be the third derivative of -1/100*v**6 + 1/525*v**7 + 0*v - 8/15*v**3 - 26*v**2 + 1/5*v**4 + 0 - 1/75*v**5. Suppose o(d) = 0. Calculate d.
-2, 1, 2
Determine x so that 4/5*x**3 - 2/3*x**4 - 16/15*x + 0 + 2/15*x**5 + 8/15*x**2 = 0.
-1, 0, 2
Factor 3/2 + 0*t + 3/8*t**3 - 9/8*t**2.
3*(t - 2)**2*(t + 1)/8
Let h = 4104 - 45136/11. Factor h*u + 8/11 + 2/11*u**2.
2*(u + 2)**2/11
Let l = 17194 + -51574/3. Determine r so that 0 + l*r + 4/3*r**3 + 4*r**2 = 0.
-2, -1, 0
Let z = 32 - 24. Suppose 0 = -2*a - a - 4*m - 2, -4*m = z. Determine v, given that -2 + 20*v**3 + 10*v**2 + 10*v - 30*v**2 + a*v**5 - 6*v**4 - 4*v**4 = 0.
1
Let t(g) be the third derivative of -g**6/240 + g**5/60 + 13*g**4/48 + 5*g**3/6 - 63*g**2. Factor t(c).
-(c - 5)*(c + 1)*(c + 2)/2
Suppose 40*f = 38*f - 62. Let z(s) = -s**2 - 34*s - 93. Let n be z(f). Suppose 0*w - 2/7*w**2 - 6/7*w**4 - 6/7*w**3 + n - 2/7*w**5 = 0. What is w?
-1, 0
Suppose 5*q = l + 7, 3*q - l + 3 = 2*l. Factor 3/5*h**q + 9/5*h + 0.
3*h*(h + 3)/5
Let v(c) be the second derivative of -c**5/3 - c**4/3 + 8*c**2 - 3*c. Let p(x) be the first derivative of v(x). Find u such that p(u) = 0.
-2/5, 0
Let c(d) be the third derivative of -11*d**8/2688 + 17*d**7/1680 - d**6/160 + 101*d**2. Determine w, given that c(w) = 0.
0, 6/11, 1
Let q(c) be the second derivative of c**6/195 - 19*c**5/130 + c**4 - 116*c**3/39 + 56*c**2/13 + c + 181. Determine g so that q(g) = 0.
1, 2, 14
Let b(l) be the second derivative of l**5/30 + 5*l**4/12 + 19*l**3/18 + l**2 - 2*l - 116. Factor b(a).
(a + 1)*(a + 6)*(2*a + 1)/3
Factor 1/5*i**2 - 1/5*i**4 - 1/5*i**5 + 0 + 1/5*i**3 + 0*i.
-i**2*(i - 1)*(i + 1)**2/5
Let u(x) be the third derivative of x**5/105 - x**4/7 - 2*x**3/3 - x**2 - 17. Factor u(s).
4*(s - 7)*(s + 1)/7
Let d(x) be the second derivative of -x**5/4 - 295*x**4/12 - 1665*x**3/2 - 18225*x**2/2 - 548*x. Let d(f) = 0. What is f?
-27, -5
Let z(n) = n - 3. Let b be z(4). Suppose -b - 16*i**5 + 20*i**5 + 1 + 12*i**4 + 8*i**3 = 0. What is i?
-2, -1, 0
Let g(s) be the first derivative of 2*s**3/3 - 46*s**2 + 1058*s + 358. Factor g(u).
2*(u - 23)**2
Let z = 1/714 - -29/102. Factor 0*l**2 - 2/7*l**3 + z*l + 0.
-2*l*(l - 1)*(l + 1)/7
Let i(n) be the second derivative of 2*n**7/189 + 22*n**6/135 + 19*n**5/45 + n**4/3 - 128*n. Let i(j) = 0. Calculate j.
-9, -1, 0
Let c(j) be the third derivative of -25*j**2 + 0*j**3 - j**5 + 0 + 1/2*j**4 + 0*j - 11/40*j**6. Factor c(o).
-3*o*(o + 2)*(11*o - 2)
Let i(q) = q**3 + 5*q**2 + 4*q + 2. Let v be 3/3*-4 - 0. Let t be i(v). Let -27*u**2 + 30*u**3 - 9*u**4 + t*u + 0*u**2 + 4*u + 0*u**4 = 0. What is u?
0, 1/3, 1, 2
Let g be 8 + (0 - 1/1). Suppose -9*t + 6 = -g*t. Solve -2*m**t - m**3 + 3*m**2 + 3*m**3 - 3*m**4 = 0 for m.
-1, 0, 1
Let r be 1/(9/(-5))*255/(-425). Factor -1/3*l**4 + 1/3*l**2 - 1/3*l**3 + 0 + r*l.
-l*(l - 1)*(l + 1)**2/3
Let q = 1 - 0. Suppose -o - q = -3. Factor -3*h**2 + 2*h - o*h + 3*h + 2*h**2.
-h*(h - 3)
Let g(u) = -4*u**3 + 12*u + 4. Let a be 2/((-4*4/44)/(-2)). Let y(x) = 7*x**3 + x**2 - 23*x - 7. Let b(s) = a*g(s) + 6*y(s). Factor b(h).
-2*(h - 1)**3
Let d = -68 - -70. Let p(v) be the second derivative of -1/24*v**4 + d*v + 0 + 1/2*v**2 - 1/12*v**3. Factor p(h).
-(h - 1)*(h + 2)/2
Let z(s) be the third derivative of -s**7/4200 - s**6/1800 + s**5/150 + s**4/30 - 3*s**3/2 - 10*s**2. Let p(g) be the first derivative of z(g). Factor p(r).
-(r - 2)*(r + 1)*(r + 2)/5
Let u(f) be the first derivative of -5*f**4/4 - 10*f**3/3 - 5*f**2/2 + 55. Factor u(y).
-5*y*(y + 1)**2
Let z = 6431 - 6431. Suppose z - 1/8*g - 1/4*g**2 - 1/8*g**3 = 0. Calculate g.
-1, 0
Find v, given that -20 - 22*v + 4*v**2 - 2*v**2 - 9*v**2 + 5*v**2 = 0.
-10, -1
Suppose 8279*f**3 - 1045*f**4 + 7840*f - 1372 - 10752*f**2 - 2647*f**3 + 21*f**4 = 0. What is f?
1/4, 7/4
Let y(b) be the first derivative of 0*b - 22/15*b**3 + 9/10*b**4 + 2/5*b**2 + 11. Factor y(d).
2*d*(d - 1)*(9*d - 2)/5
Suppose 245*x - 202 = -122 + 1145. What is l in -3*l**x - 33/2*l - 33/2*l**4 - 3 - 69/2*l**3 - 69/2*l**2 = 0?
-2, -1, -1/2
Factor 34/3*k - 12 + 2/3*k**2.
2*(k - 1)*(k + 18)/3
Let y be -6 + 18/(-24)*-12. Let -4/3 + 34/3*f + 26/3*f**y - 56/3*f**2 = 0. Calculate f.
2/13, 1
Let f(b) be the third derivative of -b**5/120 + 49*b**4/48 + 25*b**3/6 - b**2 - 454*b. Factor f(g).
-(g - 50)*(g + 1)/2
Let u = -781/4 + 199. Factor -75/8 - 3/8*x**2 - u*x.
-3*(x + 5)**2/8
Let m(w) be the second derivative of w**5/5 + 5*w**4/3 - 2*w**3/3 - 10*w**2 - 2*w - 4. Factor m(v).
4*(v - 1)*(v + 1)*(v + 5)
Let n(o) be the first derivative of o**8/840 + o**7/126 + o**6/45 + o**5/30 + o**4/36 - o**3/3 + 9. Let b(h) be the third derivative of n(h). Factor b(p).
2*(p + 1)**3*(3*p + 1)/3
Let l be -1*(-222)/45*21. Let v = 104 - l. Factor 1/5*q**5 + 0 - v*q**2 - 1/5*q + 2/5*q**4 + 0*q**3.
q*(q - 1)*(q + 1)**3/5
Let r = 63 - 71. Let f(o) = 4*o**5 - 12*o**4 + 4*o**3 + 4*o**2. Let q(p) = p**4 - p**3. Let y(u) = r*q(u) - f(u). Determine v, given that y(v) = 0.
-1, 0, 1
Let d(a) be the second derivative of 8*a - 1/2*a**4 + 0 + 2*a**3 - 3/20*a**5 + 12*a**2. Factor d(g).
-3*(g - 2)*(g + 2)**2
Suppose -b + z = -16, 44 = b + b - 5*z. Let y be 3/b*(17 - 1). Factor -2/3*p**2 + 1/3*p**3 + 10/3*p**y + 0 + 0*p.
p**2*(2*p + 1)*(5*p - 2)/3
Find j, given that 451*j**3 + 3662*j**3 - 439*j**3 - 2336*j**2 + 488*j - 51 + 19 + 338*j**5 - 2132*j**4 = 0.
2/13, 1, 4
Let t = -1251 - -600481/480. Let h(k) be the third derivative of -2*k**2 + 1/48*k**4 - 1/240*k**5 + 0*k**3 + 0*k + 0 - t*k**6. Factor h(q).
-q*(q - 1)*(q + 2)/4
Let c(q) be the third derivative of 0 - 34*q**2 + 0*q + 1/15*q**5 - 2/3*q**4 + 8/3*q**3. What is s in c(s) = 0?
2
Let u(r) be the second derivative of r**7/630 - r**6/180 - r**5/15 - 31*r**4/12 - 22*r. Let s(d) be the third derivative of u(d). Factor s(z).
4*(z - 2)*(z + 1)
Let n(k) = k**3 + 7*k**2 - 3*k + 4. Let o be n(-7). Factor -25*d**2 + 4*d**3 + o*d**2 - 12*d**4.
-4*d**3*(3*d - 1)
Let j = 4 + -2. Suppose 9*i - 182 = -20. Factor -3*p**3 + 2*p**3 - 7*p**j + i*p**2 - 9*p**2 - p.
-p*(p - 1)