 23/2 + 6*x**4 + 5*x**3 + 1/4*x**5 - 37/2*x**2 = 0.
-23, -1, 2
Let j(o) be the first derivative of -o**4/20 - 47*o**3/5 - 2376*o**2/5 + 15552*o/5 - 3258. Factor j(m).
-(m - 3)*(m + 72)**2/5
Let w be -7 + 7 - -2*(-5)/2. Let u(y) = 2*y**2 + 7*y + 1. Let v be u(w). Factor -4*p**3 + 8 - 4 - 12 - v*p**2 - 20*p.
-4*(p + 1)**2*(p + 2)
Let g(c) be the third derivative of c**7/42 + 23*c**6/24 - 113*c**5/12 - 225*c**4/8 - 9*c**2 + 139. Factor g(q).
5*q*(q - 5)*(q + 1)*(q + 27)
Let d(r) be the third derivative of r**6/180 - 16*r**5/45 - 179*r**4/36 - 74*r**3/3 + 189*r**2 + 6*r. Factor d(y).
2*(y - 37)*(y + 2)*(y + 3)/3
Suppose -5*a + 10 = 5*o, 0 = 4*a - 5*o + o - 16. Find u, given that -3*u**a - 2*u**4 + 29*u**2 - 2*u**5 + 5*u - 6*u**3 + 3*u**5 + 3*u**3 - 21*u**2 - 6 = 0.
-2, -1, 1, 3
Let g(q) be the third derivative of q**6/80 + 47*q**5/40 + 87*q**4/16 - 135*q**3/4 + q**2 - 4. Suppose g(r) = 0. What is r?
-45, -3, 1
Let h(v) = -24*v - 278. Let z be h(-13). Factor 37*g**2 + 4 + 11*g**2 + z*g**2 + 30*g - 12*g**2 - 16*g**2.
2*(3*g + 1)*(9*g + 2)
Suppose 4*r - 120 = -5*c - 434, -3 = 3*r. Let y = 64 + c. Factor y*d**2 + 4*d**2 - 4*d**3 + d**3 + 2*d**3.
-d**2*(d - 6)
Let q(v) = 8*v**2 - 19*v + 34. Let d be q(14). Factor y**2 - 33*y**2 - 1336*y - 5*y**3 + d*y + 4*y**4 + 33*y**3.
4*y**2*(y - 1)*(y + 8)
Suppose 2*i = p + 13, i = 3*p - 2*i + 33. Let a be 18/(-7)*(p - 5). Suppose 16*h**4 + h**5 + 27*h + 141*h**2 - 6*h**4 + a*h**3 - 87*h**2 = 0. Calculate h.
-3, -1, 0
Suppose -27*r = -31*r + 112. Factor -6*o + 10*o**2 - 17*o**2 - 3 + r*o**2 + 2*o**3 - 14*o**3.
-3*(o - 1)**2*(4*o + 1)
Let o(b) = -b + 1. Let k(p) = -p**3 - 42*p**2 + 72*p - 29. Let w(f) = 4*k(f) - 60*o(f). Factor w(h).
-4*(h - 1)**2*(h + 44)
Let w(t) be the third derivative of 0*t**4 + 0 + 24*t**2 + t + 0*t**5 - 1/105*t**7 - 5/1176*t**8 + 0*t**3 - 1/210*t**6. Suppose w(k) = 0. Calculate k.
-1, -2/5, 0
Let -255/2 - 261/4*y - 3/4*y**2 = 0. Calculate y.
-85, -2
Let 1060*p**2 - 1405*p + 3*p**4 + 792 - 408*p**3 - 581*p + 539*p**2 = 0. What is p?
1, 2, 132
Let a = -653196 - -653199. Let 17/4*y**a + 8*y**2 + 0 - y = 0. What is y?
-2, 0, 2/17
Suppose -198*x - 4 = -147*x - 4. Factor -1/4*i**2 + x*i + 1/4*i**4 + 1/4*i**5 - 1/4*i**3 + 0.
i**2*(i - 1)*(i + 1)**2/4
Factor 0 + 29/4*t**2 + 7*t**3 + 3/2*t.
t*(4*t + 3)*(7*t + 2)/4
Let g be -80*79/11376 - (-1634)/90. Factor 16*b**2 + g + 4/5*b**3 - 172/5*b.
4*(b - 1)**2*(b + 22)/5
Suppose -5*p = 2*g - 18, 0*g - g = -4*p - 22. Factor -g*b**4 + 6*b**3 + 6*b**4 + 9*b**4 - 32*b.
b*(b - 2)*(b + 4)**2
Factor 0*o**4 - 13*o**3 + 160*o + 12*o**4 + 32*o**2 + 3*o**3 + 2*o**4 - 16*o**4.
-2*o*(o - 4)*(o + 4)*(o + 5)
Let r be (6 - (-6)/(-2))/1. Suppose 7*l + 200 + 20*l + 0*l - 176 + r*l**2 = 0. Calculate l.
-8, -1
Suppose -9*w = -2*w - 2093. Factor 2 - 6 - 295*t**2 + w*t**2.
4*(t - 1)*(t + 1)
Let b(v) = v**3 - 12. Let z be b(3). Determine s so that -22*s**3 - 18 - 9*s**3 + 21*s**3 + 0*s**2 + 51*s - z*s**3 - 20*s**2 = 0.
-2, 3/5
Let w be 1/(-3)*3 - -3. Factor 7*d**w - 13*d**2 + 12*d - 15 + 9*d**2.
3*(d - 1)*(d + 5)
Let g = 436463 - 436458. Factor -1/2*c**2 - 9/4*c + 1/4*c**g + 2*c**3 - 1 + 3/2*c**4.
(c - 1)*(c + 1)**3*(c + 4)/4
Let x(k) be the first derivative of k**3/3 - 712*k**2 - 2852*k - 4119. Let x(y) = 0. What is y?
-2, 1426
Suppose -40*m = 20 - 700. Suppose -l = -5*k - m, -25 = -4*l + 5*k - 2. Factor 1/2*g**3 - l*g + 0 - 3/2*g**2.
g*(g - 4)*(g + 1)/2
Let x(r) = 2*r**4 - r**3. Let k(b) = -7*b**4 + 14*b**3 + 36*b**2 + 56*b + 32. Suppose -6*j + 144 = 6*j. Let q(f) = j*x(f) + 3*k(f). Solve q(t) = 0 for t.
-4, -2
Suppose 4*m + 4 = 0, 0 = 6*x - 3*x + 5*m - 2158. Factor a**5 + a**3 + 14*a**3 + 4*a - x*a**2 + 734*a**2 + 7*a**4.
a*(a + 1)**3*(a + 4)
Suppose 0 = -4*j + p + 3415, 4*j - 2*p + 310 = 3720. Suppose k + j = 10*k. Solve -5*q**2 - 25 + 60*q - k - 60 = 0.
6
Let s(v) be the third derivative of v**8/672 + 2*v**7/21 + 39*v**6/20 + 54*v**5/5 - 280*v**2 + 5. Factor s(a).
a**2*(a + 4)*(a + 18)**2/2
Suppose 0 = -2*s - 4, 17*m - 62 = 13*m + 3*s. Suppose -m*q + 3*q - 6*q = 0. Determine r, given that 3/4*r**3 - 3/4*r**5 + 3/2*r**4 - 3/2*r**2 + 0*r + q = 0.
-1, 0, 1, 2
Let i(r) = r**3. Suppose -34 = -5*x + 116. Let f(m) = 25*m**3 + 3*m**2. Let k(o) = x*i(o) - 5*f(o). Find q, given that k(q) = 0.
-3/19, 0
Suppose 0 = z, -3*i + 32*z - 9 = 27*z. Let n be i + ((-1)/(-3))/(1/15). Factor 6/5*t - 3/5 - 3/5*t**n.
-3*(t - 1)**2/5
Let n be 7/(-18)*(5 - 149501/154). Let h = -1126/3 + n. Determine k so that 1/2 + k**2 - 5/4*k - h*k**3 = 0.
1, 2
Determine v, given that -459*v + 1076 - 170*v**2 + 282*v**2 - 83*v - 110*v**2 = 0.
2, 269
Let y = -818 - -818. Let h be (-2 - 0)/(-12 + y). Factor h*j**2 + 0 - 1/2*j.
j*(j - 3)/6
Let y(q) be the second derivative of q**4/84 + 524*q**3/21 + 137288*q**2/7 + 732*q. Find t, given that y(t) = 0.
-524
Let h(a) be the second derivative of 3/2*a**2 + 17*a - 7/15*a**3 - 1/60*a**4 + 4. Factor h(q).
-(q - 1)*(q + 15)/5
What is r in 0 - 140/3*r**2 - 134*r - 2/3*r**3 = 0?
-67, -3, 0
Suppose 3*u + 5*u = 24. Let b be (-2)/(u/(10/(-4) + -2)). Suppose -18*g**2 - 560*g**4 + 300*g**5 + 288*g**3 - 54*g**2 + 60*g**b = 0. What is g?
0, 3/5, 2/3
Suppose 564 = 11*b + b. Factor b*v**3 - 22*v**3 - 26*v**3 + 13*v**2.
-v**2*(v - 13)
Let k(d) = -10*d**2 - 166*d + 74. Suppose -5*u + 21*n - 23*n + 40 = 0, -4*n - 10 = u. Let r(m) = -m + 1. Let g(p) = u*r(p) - k(p). Find s, given that g(s) = 0.
-16, 2/5
Let j(f) be the second derivative of 19*f - 2/3*f**3 + f**2 + 0 + 1/6*f**4. Determine v, given that j(v) = 0.
1
Let k(b) be the third derivative of -b**7/840 - 3*b**6/40 - 81*b**5/80 + 185*b**4/12 - 50*b**3 - 10*b**2 - 34. Solve k(c) = 0 for c.
-20, 1, 3
Suppose 11*g - 28*g - 17 = 0. Let z(m) = -m. Let y(c) = 2*c**2 - 74*c + 800. Let l(t) = g*y(t) - 6*z(t). Factor l(a).
-2*(a - 20)**2
Let i(u) = -u**3 + 5*u**2 + 18*u - 26. Let v be i(7). Solve -174*y**4 + 3*y**5 + 45*y**v - 72 + 135*y**4 + 66*y**2 - 30*y + 27*y**3 = 0.
-1, 1, 2, 12
Factor 805/2*p**2 - 215/6*p + 5/6 - 735/2*p**3.
-5*(p - 1)*(21*p - 1)**2/6
Let l(u) = 12*u**3 - 71*u**2 + 323*u + 931. Let o(f) = 38*f**3 - 214*f**2 + 968*f + 2792. Let b(d) = 16*l(d) - 5*o(d). Factor b(v).
2*(v - 26)*(v - 9)*(v + 2)
Factor -7*o - 217 + 10*o - 42*o**2 + 38*o**2 + 77*o - 119.
-4*(o - 14)*(o - 6)
Let o(i) be the third derivative of i**8/336 - 73*i**7/210 - i**2 - 588. What is q in o(q) = 0?
0, 73
Let i be (65/21 + -3)/(1/2). Let y(d) be the first derivative of i*d**3 + 0*d**2 - 6 + 0*d + 5/14*d**4 - 2/5*d**5. Solve y(r) = 0 for r.
-2/7, 0, 1
Let q be (2*(-3)/(-6))/((-2)/(-10)). Suppose 0*z + 2*z = -8, z = -q*x + 6. Let -6*i + 15*i**x - 16*i**2 - 2 - 3 = 0. Calculate i.
-5, -1
Suppose -4*i + 2*b = -5*i - 14, 115 = -5*i + 5*b. Let x(c) = -c - 18. Let y be x(i). What is o in 1/3*o**3 - 1/3*o**4 + 1/3*o**y + 0*o + 0 - 1/3*o**5 = 0?
-1, 0, 1
Let p = 328 + -325. Let 7*c + c**2 - 7*c**p + 14*c**4 - 39 + 15 - 12*c**4 + 21 = 0. What is c?
-1, 1/2, 1, 3
Let q(h) be the third derivative of -8/735*h**7 - 12/35*h**5 - 120*h**2 + 0*h**3 + 0 + 0*h + 11/70*h**6 + 1/6*h**4. Find g such that q(g) = 0.
0, 1/4, 1, 7
Let u be 5 - (-5)/(-10)*-30. Let 2*p**5 - p**5 + 5*p**5 - 2*p**5 - 10*p + 20*p**3 - 14*p - u*p**2 + 20*p**4 = 0. Calculate p.
-3, -2, -1, 0, 1
Factor -1/7*o**3 + 32 + 226/7*o**2 - 449/7*o.
-(o - 224)*(o - 1)**2/7
Let c(q) be the second derivative of -q**6/120 + q**5/40 - 46*q**3 - 268*q. Let o(s) be the second derivative of c(s). Factor o(d).
-3*d*(d - 1)
Let f(l) be the first derivative of 11/2*l**4 + 3/5*l**5 - 1/6*l**6 + 38/3*l**3 + 27/2*l**2 + 7*l + 94. Factor f(v).
-(v - 7)*(v + 1)**4
Let f(j) be the first derivative of 2*j**6 - 104*j**5/5 + 70*j**4 - 48*j**3 - 162*j**2 + 216*j + 5578. Solve f(n) = 0.
-1, 2/3, 3
Let x(g) be the second derivative of g**4/3 - 144*g**3 + 23328*g**2 - 6622*g. Determine j, given that x(j) = 0.
108
Suppose -5*s = y + 8 + 15, 5*y + s - 5 = 0. Factor -21*w + 3*w**2 + w + 2*w**y - 25*w.
5*w*(w - 9)
Let c(b) = -2*b**2 + 188*b + 8278. Let x(z) = 3*z**2 - 190*z - 8277. Let o = -282 - -279. Let s(h) = o*x(h) - 4*c(h). Let s(p) = 0. What is p?
-91
Let c(u) be the first derivative of -602*u**3/39 - 2*u**2/13 + 54. Determine m, given that c(m) = 0.
-2/301, 0
Let v(x) be the third derivative of -x**8/1848 + 2*x**7/1155 - 1819*x**2. D