35)**2*(u - 6)/5
Solve -24/5 + 459/5*o**2 + 87*o = 0 for o.
-1, 8/153
Let s be (121/16335)/((-4)/(-10)). Let f(d) be the second derivative of 5/27*d**3 + 0 + 17*d + 4/9*d**2 + s*d**4. Find x such that f(x) = 0.
-4, -1
Let m(v) be the first derivative of v**3/18 - 37*v**2/2 - 224*v/3 + 749. What is t in m(t) = 0?
-2, 224
Determine q so that 2*q**4 - 14*q**3 - 12*q**3 + 0*q**4 - 4356*q + 2442*q**2 + 3*q**3 - 113*q**3 = 0.
0, 2, 33
Let f(p) be the first derivative of 22*p**3/3 - 708*p**2 + 512*p - 439. Solve f(r) = 0 for r.
4/11, 64
Suppose 6*o = 2*i + 90, -6 = -5437*i + 5439*i. Determine q, given that 7/4*q**2 + o - 99/2*q = 0.
2/7, 28
Let o(c) = 25*c**3 + 3836*c**2 + 14989*c + 14878. Let l(y) = 5*y**3 + 767*y**2 + 2998*y + 2976. Let v(b) = -11*l(b) + 2*o(b). Factor v(g).
-5*(g + 2)**2*(g + 149)
Let r(c) be the second derivative of 3*c**5/20 - 17*c**4/4 - 10*c**3 + 54*c**2 - 164*c. Factor r(y).
3*(y - 18)*(y - 1)*(y + 2)
Let u(o) be the third derivative of o**8/112 - o**7/14 - 2*o**6/5 + 4*o**5 + 3312*o**2. Factor u(f).
3*f**2*(f - 5)*(f - 4)*(f + 4)
Let x be 1/(148/(-26) + (-25 - (-54 - -23))). Factor 9*n**4 + 12*n**3 + 0 + 1/4*n + x*n**2.
n*(n + 1)*(6*n + 1)**2/4
Suppose 0 = 13*q - 573 - 792. Suppose -2*c - q = -9*c. Let -2*l**5 + 16*l**5 + l**3 - c*l**5 = 0. Calculate l.
-1, 0, 1
Let a = 212 + -204. Factor 9*s**2 + s**5 + 1887*s + 3*s**5 - 1891*s - a*s**4 - s**2.
4*s*(s - 1)**3*(s + 1)
Let n = 7/22 + -5/22. Let q be (-32)/(-3) + (-66310)/6270. Let -1/11*r**2 + q + n*r**3 - 1/11*r = 0. What is r?
-1, 1
Let -2160*y + 3722 - 1022 - 40*y**4 - 648*y**2 + 112*y**3 + 36*y**4 = 0. Calculate y.
-3, 1, 15
Let m be -12*(-3 - (-2)/6). Suppose -86*n + m = -78*n. Suppose -45/2*i**n - 5/2*i**2 + 0 + 0*i - 15*i**3 - 10*i**5 = 0. Calculate i.
-1, -1/4, 0
Let f be 6 - ((-6)/(-2) + 7 + -9). Factor -16*u**3 - 81 - 22*u**2 - f*u**2 - 17*u**3 - 81*u + 30*u**3.
-3*(u + 3)**3
Let q(u) be the second derivative of -u**6/30 - 213*u**5/10 + 107*u**4 - 643*u**3/3 + 429*u**2/2 + 8827*u. Suppose q(l) = 0. Calculate l.
-429, 1
Let w(h) be the third derivative of -h**7/210 + 7*h**6/120 - 11*h**5/60 + 5*h**4/24 + 1930*h**2. Factor w(z).
-z*(z - 5)*(z - 1)**2
Let j(n) be the second derivative of 0*n**2 + 19*n + 1/12*n**4 + 1/3*n**3 + 1. Find c such that j(c) = 0.
-2, 0
Find y such that 30*y**2 - 135 + 4*y**2 - 108*y + 6*y**3 + 0*y**4 - 189 - y**4 - 7*y**2 = 0.
-3, 6
Suppose 76*d**3 + 538/7 - 2/7*d**4 + 1608/7*d**2 + 1612/7*d = 0. What is d?
-1, 269
Solve -216 - 57/2*l**2 - 144*l - 3/2*l**3 = 0.
-12, -4, -3
Let u = -45671711/360 + 126866. Let l(o) be the third derivative of 0*o - 8*o**2 - 1/3*o**4 + 0 + 7/60*o**5 + 2/9*o**3 + u*o**6. Solve l(r) = 0 for r.
-1, 2/7
Factor -3*i**3 - 155*i**2 - 280 + i**3 + 0*i**3 + 0*i**3 - 430*i - 3*i**3.
-5*(i + 1)*(i + 2)*(i + 28)
Find z such that 1/3*z**3 + 137/3*z**2 - 1/3*z - 137/3 = 0.
-137, -1, 1
Determine k, given that -56/15*k - 64/15 + 2/3*k**2 + 2/15*k**3 = 0.
-8, -1, 4
Find z such that 87*z**3 + 17 - 179 + 84*z**3 + 30*z**2 + 9*z - 168*z**3 = 0.
-9, -3, 2
Determine t, given that -1/3*t**2 - 23/3 + 8*t = 0.
1, 23
Let t(q) be the second derivative of 2*q**6/15 - 2*q**5/35 - q**4/3 + 4*q**3/21 - 9*q - 47. Solve t(b) = 0.
-1, 0, 2/7, 1
Let g(c) = -5*c**2 - 55*c + 91. Let h(z) = z**2 + 20*z + 13. Let n be h(-21). Let w(r) = r**2 + 9*r - 15. Let s(x) = n*w(x) + 6*g(x). Factor s(v).
4*(v - 3)**2
Factor -22/3*d**2 + 0 + 8*d - 2/3*d**3.
-2*d*(d - 1)*(d + 12)/3
Let -1/2*p**2 + 79*p - 6241/2 = 0. What is p?
79
Solve 45/2*t + 0 + 3/2*t**2 = 0.
-15, 0
Let b(p) be the third derivative of 8*p**7/315 + 1267*p**6/180 + 2869*p**5/5 + 3237*p**4 + 4056*p**3 + p**2 - 425*p. Find s such that b(s) = 0.
-78, -2, -3/8
Let f = 34/403 - -1039/2015. Factor -f*t**4 - t**2 - 1/5*t**5 + 0*t + 0 + 9/5*t**3.
-t**2*(t - 1)**2*(t + 5)/5
Let -2957 - 428*c**2 + 9*c**3 + 374755*c + 257 - 41*c**3 - 376635*c = 0. What is c?
-5, -27/8
Let q = -569 + 572. Let -20/11*h**q - 2/11*h**4 + 0 + 0*h - 50/11*h**2 = 0. Calculate h.
-5, 0
Let h(a) be the second derivative of -11*a**4/18 + 34*a**3 + 56*a**2/3 - a + 1644. What is c in h(c) = 0?
-2/11, 28
Let q = -7012368/7 - -1001767. Let 0 + 0*x + 12/7*x**2 - q*x**5 - 3/7*x**4 + 4/7*x**3 = 0. Calculate x.
-3, -2, 0, 2
Let b(q) be the first derivative of -13*q**3 + 0*q**5 - 1/40*q**4 + 0*q**2 + 1/600*q**6 + 11 + 0*q. Let w(u) be the third derivative of b(u). Factor w(j).
3*(j - 1)*(j + 1)/5
Let w(f) be the second derivative of -8*f**5/15 + 428*f**4/9 + 431*f**3/9 + 18*f**2 + 2*f - 153. Factor w(m).
-2*(m - 54)*(4*m + 1)**2/3
Let c(g) = -g**3 - 3*g**2 - 2*g + 13. Let i be c(-6). Suppose i*n = 139*n. Factor 1/3*y**3 - 1/3*y**2 + 0*y + n.
y**2*(y - 1)/3
Factor 0*q + 412/3*q**2 + 4/3*q**3 + 0.
4*q**2*(q + 103)/3
Factor -1/4*s**4 + 11/2*s**2 - 1/4*s**3 + 10*s + 0.
-s*(s - 5)*(s + 2)*(s + 4)/4
Let b(c) be the first derivative of -1/3*c**3 + 1/3*c**4 - 17*c + 0*c**2 - 1/10*c**5 + 4. Let v(y) be the first derivative of b(y). What is x in v(x) = 0?
0, 1
Let c(a) = 2*a - 16. Let s be c(9). Suppose h - 56 = -s*l, -h = -3*h - l + 97. Factor 59*b - 5*b**3 + 37*b - 40 - 5*b**2 - h*b.
-5*(b - 2)*(b - 1)*(b + 4)
Let c(q) be the first derivative of 40/9*q - 2/27*q**3 - 194 - 19/9*q**2. Determine z, given that c(z) = 0.
-20, 1
Let u = 126684/316735 + 2/63347. Solve 2/5*c**2 - u*c - 12/5 = 0 for c.
-2, 3
Let q(t) be the first derivative of 35*t**6/12 + 607*t**5/5 - 1473*t**4/4 + 944*t**3/3 + 31*t**2/4 - 111*t - 4771. Let q(o) = 0. What is o?
-37, -2/7, 3/5, 1
Suppose 463*q**3 + 208*q**2 + 302*q**2 + 460*q**3 + 105800 - 1394*q**3 + 466*q**3 - 15180*q = 0. Calculate q.
10, 46
What is l in 4*l**3 + 2146*l + 5120 + 325*l**2 + 4925*l - 1631*l + l**3 = 0?
-32, -1
Let m(i) be the first derivative of 0*i + 0*i**2 + 1/10*i**4 + 11 - 2/15*i**3. Factor m(j).
2*j**2*(j - 1)/5
Let b(l) be the second derivative of -384/35*l**5 + 0 + 81/14*l**2 + 144/7*l**4 - 108/7*l**3 + 75*l. Factor b(x).
-3*(8*x - 3)**3/7
Let k(x) be the third derivative of -11*x**8/1680 - x**7/30 - x**6/100 + 22*x**2 - 2*x. Suppose k(m) = 0. Calculate m.
-3, -2/11, 0
Let b(r) be the second derivative of r - 1/96*r**4 + 1/4*r**2 - 44 + 0*r**3. Suppose b(x) = 0. What is x?
-2, 2
Let l(z) be the third derivative of 0*z + 0 - 1/100*z**5 + 1/40*z**4 + 11*z**2 + 1/600*z**6 + z**3. Let i(n) be the first derivative of l(n). Factor i(p).
3*(p - 1)**2/5
Let b(t) = 8*t**2 - 11*t - 5 + 0*t + 6*t - 8*t. Let i(f) = -4*f**2 + 6*f + 2. Let x(j) = -2*b(j) - 5*i(j). Let x(s) = 0. What is s?
0, 1
Suppose -15 = -4*j - 3*f, 33 = 5*j + 16*f - 17*f. Factor -9*p**2 - j*p**2 + 250 - 17*p - 5*p**3 - 25*p**2 - 8*p.
-5*(p - 2)*(p + 5)**2
Let k be ((-2)/(4/(-158)))/((-17)/68). Let u = k - -316. Solve 0 + 5/2*v**3 + 0*v**2 + u*v - 5/2*v**4 = 0 for v.
0, 1
Let w(l) be the third derivative of l**8/672 + 53*l**7/560 + 149*l**6/120 - 671*l**5/40 + 121*l**4/12 + 19*l**2 + 45*l + 2. Find j, given that w(j) = 0.
-22, 0, 1/4, 4
Let a(h) be the first derivative of -128 + 1/12*h**6 - 13/10*h**5 + 6*h**4 + 0*h + 0*h**2 - 6*h**3. What is b in a(b) = 0?
0, 1, 6
Solve -q**4 - 29*q**3 - 5*q**4 + q**4 + 106*q**2 - 71*q**3 - 286*q**2 = 0 for q.
-18, -2, 0
Let m(w) be the third derivative of -4/11*w**3 + 0 + 0*w + 73*w**2 + 1/330*w**5 + 1/12*w**4. Factor m(u).
2*(u - 1)*(u + 12)/11
Let b be 15*7/7*(-4 - (-39)/9). Let c(a) be the first derivative of -2/15*a**3 - b - 8/5*a + 4/5*a**2. Factor c(f).
-2*(f - 2)**2/5
Let u(t) = -t**2 + 10*t - 7. Suppose -23 - 4 = -3*h. Let d be u(h). Solve -d*n - 2*n**3 - 7*n**3 + 9*n**2 - 4*n + 12*n**2 = 0.
0, 1/3, 2
Let a be -15*(-35 - (-1212)/36)/(4 + 2). Find c such that -4/3*c - 1/6*c**2 + a = 0.
-10, 2
Let f(q) be the first derivative of -56*q**6/3 - 2358*q**5/5 - 3387*q**4 - 11542*q**3/3 + 780*q**2 + 1800*q + 603. Determine u so that f(u) = 0.
-10, -1, -3/7, 3/8
Find p, given that 198 - 723/2*p + 63/2*p**3 + 261/2*p**2 + 3/2*p**4 = 0.
-12, -11, 1
Let d(y) = 74*y + 15099. Let w be d(-204). Factor -1/4*n**5 + n**2 - 1/2*n**4 + 3/4*n**w - n + 0.
-n*(n - 1)**2*(n + 2)**2/4
Let h(m) be the second derivative of m**7/2940 + m**6/315 + m**5/105 - 27*m**3/2 + 3*m**2/2 - 13*m - 2. Let l(g) be the second derivative of h(g). Factor l(y).
2*y*(y + 2)**2/7
Let t be -6*-108*297/(-88). Let h = -2185 - t. Factor 8/7*x + 0 + 