*m + 132. Let j(n) = 4*n**3 + 113*n**2 + n - 128. Let u(h) = -6*j(h) - 5*w(h). What is l in u(l) = 0?
-27, -1, 1
Factor 30/7*i**2 + 2/7*i**3 + 18*i + 14.
2*(i + 1)*(i + 7)**2/7
Let p(a) be the second derivative of a**5/20 + a**4/15 - 5*a + 1. Find q, given that p(q) = 0.
-4/5, 0
Find l, given that 0 - 5/6*l**3 - 5/6*l**2 + 0*l = 0.
-1, 0
Suppose 3*r + y = 21, -8 - 6 = -2*r - y. Factor -r*t - 9*t + 3*t**3 + 12*t + 6 - 5*t.
3*(t - 1)**2*(t + 2)
Suppose 0 = -d + 4*y + 14, -276*d = -278*d - 2*y - 2. Solve 1/2 - 1/4*b**3 + 1/4*b - 1/2*b**d = 0.
-2, -1, 1
Let k(c) = -11*c**2 + 1012*c + 525. Let z(w) = 5*w**2 - 504*w - 263. Let d(p) = -3*k(p) - 5*z(p). What is h in d(h) = 0?
-1/2, 65
Let g(u) be the first derivative of 0*u**2 + 0*u**5 + 0*u - 5/4*u**4 + 0*u**3 - 14 + 5/6*u**6. Determine h, given that g(h) = 0.
-1, 0, 1
Let v(c) be the first derivative of -45*c**4/4 - 145*c**3/3 - 155*c**2/2 - 55*c + 684. Factor v(m).
-5*(m + 1)**2*(9*m + 11)
Let t(a) = a**4 + 6*a**3 - 6*a - 3. Let g(x) = 2*x**4 + 18*x**3 - 18*x - 9. Let o(d) = 2*g(d) - 7*t(d). Factor o(p).
-3*(p - 1)*(p + 1)**3
Let d(k) be the second derivative of k**4/15 - 17*k**3/15 - 9*k**2/5 - 39*k + 2. Suppose d(z) = 0. Calculate z.
-1/2, 9
Let n(y) be the third derivative of -y**6/540 - y**5/18 - y**4/9 + 28*y**3/27 - 3*y**2 - 23. Find a such that n(a) = 0.
-14, -2, 1
Let j = -398 - -400. Let -243/5*b**5 - 3312/5*b**j - 1008/5*b - 96/5 - 1566/5*b**4 - 3576/5*b**3 = 0. What is b?
-2, -2/9
Let y be -3 - (1 - 6) - (0 - 0). Factor 0 - 1/6*h**y - h.
-h*(h + 6)/6
What is w in -143*w + 4*w**2 + 18*w**2 + 60 - 42*w**2 - 92*w = 0?
-12, 1/4
Let k be ((-108)/(-30))/((-6)/(-15)). Suppose 0 = 4*h - k*h + 20. Factor 2*w**2 + h*w**3 - 5*w**2 + 5*w**2 - w**4 + 3*w**4.
2*w**2*(w + 1)**2
Let w(u) be the second derivative of -34*u - 5/2*u**2 + 7/6*u**6 - 1/2*u**5 - 5/14*u**7 + 25/6*u**3 + 0 - 5/2*u**4. Let w(j) = 0. Calculate j.
-1, 1/3, 1
Suppose x = 18 + 2. Determine k so that -4*k**2 - 7*k**2 - 3*k**4 + x*k**2 + 6*k**3 - 6*k**2 - 6*k = 0.
-1, 0, 1, 2
Suppose u - 70 = -u. Suppose -4*w + 5*h + 90 = -0*h, -5*h + u = w. Find r such that -w*r - 6*r**2 - 8 + 9*r + 0 = 0.
-2, -2/3
Let h(b) be the first derivative of -55*b**3/3 - 60*b**2 + 120*b - 12. Let t(p) = 9*p**2 + 20*p - 20. Let v(x) = 6*h(x) + 35*t(x). Factor v(y).
-5*(y + 2)*(3*y - 2)
Let d = 36 - 31. Let t(o) be the second derivative of 0 - 2/15*o**d + 1/30*o**6 - 1/9*o**3 + 0*o**2 + 2*o + 7/36*o**4. Factor t(k).
k*(k - 1)**2*(3*k - 2)/3
Suppose -23 = -f + 4*j, 0 = 4*j + 5 + 15. Let w = 111 - 109. Solve 1/3*l**f - 1/3*l + 0 + 1/3*l**w - 1/3*l**4 = 0.
-1, 0, 1
Let n(y) = 5*y**4 - 17*y**3 + 15*y**2 - 7*y - 2. Let m(s) = 85*s**4 - 290*s**3 + 255*s**2 - 120*s - 35. Let j(g) = 2*m(g) - 35*n(g). Factor j(w).
-5*w*(w - 1)**3
Let i(z) be the first derivative of -4*z**3 + 69*z**2/2 + 18*z - 245. Factor i(n).
-3*(n - 6)*(4*n + 1)
Let f(h) be the second derivative of -1/24*h**3 + 4*h + 0*h**2 + 0 + 0*h**4 + 1/80*h**5. Factor f(z).
z*(z - 1)*(z + 1)/4
Let z = -32 - -479/15. Let j = 2/5 + z. Suppose -1/3*b**2 + j*b + 0 = 0. What is b?
0, 1
Let t(d) be the second derivative of 2*d + 1/20*d**6 + 0*d**3 - 7/2*d**2 + 3/20*d**5 + 0 + 1/8*d**4. Let v(o) be the first derivative of t(o). Factor v(z).
3*z*(z + 1)*(2*z + 1)
Let g = 11818 + -59088/5. Factor -g*m**2 + 0*m + 0 + 8/5*m**3.
2*m**2*(4*m - 1)/5
Let p(q) be the second derivative of q**7/210 - q**6/60 + q**4/12 - q**3/6 + 6*q**2 - 35*q. Let l(o) be the first derivative of p(o). Factor l(w).
(w - 1)**3*(w + 1)
Suppose 3*u + 15 = 6*u. Suppose -u = -i - 3. Factor -1/2*w**4 - 11*w**i - 9/2 + 12*w + 4*w**3.
-(w - 3)**2*(w - 1)**2/2
Suppose -14*p**2 + 90*p + 2/3*p**3 - 162 = 0. What is p?
3, 9
Let b(r) be the second derivative of -r**4/32 + r**3/2 - 21*r**2/16 + r - 3. Determine u, given that b(u) = 0.
1, 7
Let o(z) be the third derivative of z**7/175 - z**6/100 - z**5/25 - 7*z**2 + z. Find w such that o(w) = 0.
-1, 0, 2
Let u = -242 + 969/4. Let b(q) be the first derivative of 1/8*q**2 + 0*q + u*q**3 - 1/4*q**4 + 1. Factor b(c).
-c*(c - 1)*(4*c + 1)/4
Let v(y) be the second derivative of -y**4/48 + 5*y**3/6 - 68*y. Factor v(t).
-t*(t - 20)/4
Let z(x) be the third derivative of x**6/60 - 8*x**5/5 + 64*x**4 - 4096*x**3/3 - 187*x**2. Determine p, given that z(p) = 0.
16
Let x(b) be the third derivative of -b**5/12 - 35*b**4/6 - 490*b**3/3 - 31*b**2. Factor x(g).
-5*(g + 14)**2
Factor 39691 - 970*d + 4*d**2 + 30529 - 36*d + 22*d - 9704.
4*(d - 123)**2
Let h be 0*(-4 - (-1 - 50/15)). Let d(q) be the first derivative of 0*q**3 + h*q**4 - 1/18*q**6 + 1/15*q**5 + 0*q + 4 + 0*q**2. Suppose d(g) = 0. What is g?
0, 1
Let f be ((-8)/38)/(49816/(-109212)). Let w = 155/78 - 11/6. Determine t, given that f*t**2 + w*t**3 + 4/13*t + 0 = 0.
-2, -1, 0
Let u(s) = s + 7. Let j be u(-3). Find r such that 7*r + j*r + 27*r**2 - 5*r = 0.
-2/9, 0
Let v(z) be the third derivative of -3*z**6/10 - 5*z**5/3 - 2*z**4 + 8*z**3/3 - 3*z**2 - 8. Factor v(s).
-4*(s + 1)*(s + 2)*(9*s - 2)
Let b(s) be the third derivative of -s**8/840 - s**7/175 + 2*s**5/75 + 3*s**2 - 13*s. Factor b(q).
-2*q**2*(q - 1)*(q + 2)**2/5
Let b(v) be the second derivative of -v**7/700 + v**6/360 + v**5/600 - 2*v**3/3 + v. Let g(o) be the second derivative of b(o). Factor g(a).
-a*(a - 1)*(6*a + 1)/5
Let a(w) = -w**2 + 3*w + 4. Let p be a(3). Factor -7*f**3 - f**3 - 2*f**p - 645*f**2 + 639*f**2.
-2*f**2*(f + 1)*(f + 3)
Factor -75*o**2 - 28*o**3 - 3*o**4 + 0*o + 58*o**3 + 0*o.
-3*o**2*(o - 5)**2
Let z = 213/1055 - 2/1055. Factor 8/5*k + z + 7/5*k**2.
(k + 1)*(7*k + 1)/5
Let r(i) be the first derivative of -8/5*i**5 + 0*i - 16/3*i**3 - 8 + 2*i**2 + 5*i**4. Let r(a) = 0. Calculate a.
0, 1/2, 1
Let s(t) be the first derivative of -t**6/6 + t**5/2 + 5*t**4/4 - 28*t - 5. Let j(l) be the first derivative of s(l). Suppose j(g) = 0. What is g?
-1, 0, 3
Factor -72*i - 8*i - 4*i**3 - 15*i**2 - 5 - 65 + 10 + 9*i**3.
5*(i - 6)*(i + 1)*(i + 2)
Let -10*x**2 - 108*x + 45*x + 51*x - 2 = 0. What is x?
-1, -1/5
Suppose -2*g - 11 - 19 = -2*m, -g = 3*m - 29. Suppose 5*n = -1 + m. Suppose 3*x**n + 4*x**5 - x**5 + 19*x**3 + 3 + 2*x**3 + 9 - 24*x - 15*x**4 = 0. Calculate x.
-1, 1, 2
Let v = 5 - 3. Suppose 4*k - 4 = v*k. Find p, given that 3*p - 6*p**k + 6 + 0*p - p - 3*p**3 + p = 0.
-2, -1, 1
Suppose -2*b = 2*m + 262, -2*b + 2*m = 2*b + 536. Let d be (4/b)/((-8)/56). Factor 6/19*f - d - 2/19*f**2.
-2*(f - 2)*(f - 1)/19
Suppose 22*t = -3 - 107. Let z be ((t/(-6))/(-5))/(2/(-6)). Factor -1/2*u**2 + z*u + 0.
-u*(u - 1)/2
Let j(q) = -30*q**4 - 120*q**3 - 117*q**2 - 30*q - 12. Let o(x) = x**4 + x**2 + 2*x - 1. Let t(v) = j(v) - 9*o(v). Factor t(c).
-3*(c + 1)**3*(13*c + 1)
Let v(h) be the first derivative of -h**7/2100 - 7*h**6/900 + 2*h**5/75 - 40*h**3/3 - 3. Let r(u) be the third derivative of v(u). What is l in r(l) = 0?
-8, 0, 1
Let i = 11/115 + 53/23. Find u, given that -i - 6/5*u**4 + 3*u**3 - 24/5*u + 9/5*u**2 = 0.
-1, -1/2, 2
What is h in 40*h - 30*h**3 - h**5 - 1405*h**4 + 6*h**5 + 1400*h**4 + 20*h**2 = 0?
-2, -1, 0, 2
Let s(m) be the second derivative of 0*m**2 + 1/21*m**4 + 0*m**3 + 0 + 10*m. Factor s(v).
4*v**2/7
Factor -41*m**3 - 43*m**3 - 100*m + 40*m**2 + 134*m**3 - 45*m**3.
5*m*(m - 2)*(m + 10)
Suppose 42*a + 2*z = 39*a + 13, -15 = -3*a - 3*z. Let q(s) be the first derivative of 2/15*s**5 - 2/9*s**a - 4 - 2/3*s**2 + 0*s + 1/3*s**4. Factor q(b).
2*b*(b - 1)*(b + 1)*(b + 2)/3
Factor -4*j**2 - 216*j + 192 - 17*j + 421*j.
-4*(j - 48)*(j + 1)
Let q(s) = 9*s**5 + 19*s**4 + 3*s**3 - s**2 - s - 1. Let g(j) = j**5 + j**4 - j**3 - j**2 - j - 1. Let f(r) = -2*g(r) + 2*q(r). Factor f(l).
4*l**3*(l + 2)*(4*l + 1)
Let g(i) be the first derivative of 33 - 5/6*i**6 + 0*i**2 - 5/4*i**4 - 2*i**5 + 0*i**3 + 0*i. Factor g(d).
-5*d**3*(d + 1)**2
Let p(z) = -21*z**4 + 36*z**3 + 9*z**2 - 42*z + 15. Let j(f) = f**5 - f**4 - f**2 + f + 1. Let y(i) = 3*j(i) + p(i). Factor y(q).
3*(q - 6)*(q - 1)**3*(q + 1)
Let r(j) be the second derivative of j**5/75 - j**4/10 + 6*j**2 + 7*j. Let c(p) be the first derivative of r(p). Determine v, given that c(v) = 0.
0, 3
Let c = 2901/4 + -720. Determine a so that c*a**3 + 9/4 + 51/4*a**2 + 39/4*a = 0.
-1, -3/7
Find y, given that 5*y**5 + 10*y**3 - 356*y + 910*y - 194*y - 45*y**4 + 420*y**