*u**2 - 3/2*u**3 - 99/2*u + 351.
-3*(u - 2)*(u + 3)*(u + 39)/2
Let k(u) be the second derivative of u**6/100 + 13*u**5/90 + 17*u**4/45 + 4*u**3/15 - 101*u**2/2 + 195*u. Let v(t) be the first derivative of k(t). Factor v(g).
2*(g + 1)*(g + 6)*(9*g + 2)/15
Let f = 190 - 186. Factor 40 - 3*s + f*s - 5*s**2 - 36*s.
-5*(s - 1)*(s + 8)
Suppose -12 = -5*p - 4*m, -m + 8 = 3*p - 2. Suppose 31 = 4*u - 2*j - 3*j, -3*u + 3*j + 21 = 0. Factor -9*g**5 - 12*g**p + u*g**5 - 8*g**3 - 2*g**5 + 3*g**5.
-4*g**3*(g + 1)*(g + 2)
What is b in -186*b + 5441*b**3 + 26*b**2 + 104*b**2 - 5445*b**3 = 0?
0, 3/2, 31
Let h(y) be the third derivative of -y**6/120 - 5*y**2 - 13*y. Let k = -8 + -2. Let i(b) = 2*b**4 - 8*b**3. Let a(q) = k*h(q) + i(q). Factor a(n).
2*n**3*(n + 1)
Let c(s) = -s**3 - 14*s**2 + 73*s + 36. Let l be c(-18). Let n be 6/4*6/l*6. Let 2/3*p + 0 + 4*p**n + 2/3*p**5 + 8/3*p**4 + 8/3*p**2 = 0. What is p?
-1, 0
Factor -5/3 - 53/6*j**2 + j**3 - 23/2*j.
(j - 10)*(j + 1)*(6*j + 1)/6
Let w(k) = -k**3 - 15*k**2 - k - 11. Let p be w(-15). Suppose 5*b + 6*o = 2*o + 6, p*o + 2 = -b. Find l such that 24*l**2 - 13*l**b - 13*l**2 + 2*l = 0.
0, 1
Let y(p) = -5*p**4 + 35*p**3 + 15*p**2 - 45*p + 5. Let k(z) = 10*z**5 - z**3 + z**2 + 3*z + 23 - 11*z**5 - 2*z - 24. Let a(j) = -5*k(j) - y(j). Factor a(m).
5*m*(m - 2)*(m - 1)*(m + 2)**2
Let y(t) be the third derivative of t**6/80 - 59*t**5/40 - t**4/16 + 59*t**3/4 + 146*t**2 + 4. Find m, given that y(m) = 0.
-1, 1, 59
Let p(s) = 13*s**3 - s**2 + s - 12. Let f(u) = 7*u**3 + u - 6. Let w(o) = -11*f(o) + 6*p(o). Let m be w(7). Factor 5 + m*b**3 - 1 + 11*b**2 + 0 + 12*b - 5*b**3.
(b + 1)*(b + 2)*(3*b + 2)
Let m = -539080 + 539083. Factor 27/2 - 27/2*n - 3/8*n**2 + 3/8*n**m.
3*(n - 6)*(n - 1)*(n + 6)/8
Let p = 33 - 34. Let v be -2 + p/((-1)/8). Suppose 21*f**2 - 9*f**3 - 356 + 356 - v*f = 0. Calculate f.
0, 1/3, 2
Suppose 0 = 5*n - 8*y - 90, -171*n = -172*n - 2*y - 18. Determine a so that 0 - 5/6*a**2 - 1/6*a**4 + a**3 - n*a = 0.
-1, 0, 3, 4
Let r(d) be the second derivative of -d**9/10080 + 3*d**8/2240 - d**4/3 + 3*d**2/2 - 3*d - 9. Let s(o) be the third derivative of r(o). Factor s(v).
-3*v**3*(v - 6)/2
Let j = -884 + 3543/4. Let h(s) be the second derivative of s**3 + 0 + 3*s + j*s**4 + 0*s**2. Solve h(i) = 0.
-2/7, 0
Let g(a) = 86*a + 432. Suppose 2*m = z + 3, 95*m + 3 = 92*m. Let c be g(z). Determine d so that -3/8*d**c - 3/8*d + 0 = 0.
-1, 0
Let m be (-3)/3*(-56 - -56). Let i(b) be the first derivative of m*b + 0*b**2 + 4/3*b**3 - 13 + 2*b**5 - 7/2*b**4. Factor i(h).
2*h**2*(h - 1)*(5*h - 2)
Let l(r) be the second derivative of -r**7/42 - r**6/6 - 3*r**5/10 + r**4/3 + 4*r**3/3 + 100*r. Suppose l(c) = 0. Calculate c.
-2, 0, 1
Let z(d) be the first derivative of -3*d**3 - 55 + 0*d + 0*d**2 - 1/5*d**5 - 5/2*d**4. Factor z(m).
-m**2*(m + 1)*(m + 9)
Let g = -85830/229 + 1115306/2977. Let h = -2/229 - g. Suppose h*t**5 + 28/13*t**3 - 30/13*t + 14/13*t**4 + 4/13*t**2 - 18/13 = 0. Calculate t.
-3, -1, 1
Factor -2*t**2 + 2 + 197 - 7 - 3453*t + 3493*t.
-2*(t - 24)*(t + 4)
Let k = 442 - 372. Let r be (0 - (2 - 0))*(-14)/k. Solve r + 2/5*u**3 + 6/5*u + 6/5*u**2 = 0.
-1
Let i(v) be the first derivative of -27*v**4/4 + 93*v**3 + 1203*v**2/2 + 369*v + 182. Determine k so that i(k) = 0.
-3, -1/3, 41/3
Let o = 11612 - 11608. Let j(r) be the third derivative of 0*r - 11/240*r**5 + 0 - 7/6*r**3 - 43*r**2 - 1/480*r**6 - 1/3*r**o. Factor j(d).
-(d + 2)**2*(d + 7)/4
Let o(f) be the first derivative of 5*f**4/14 + 4*f**3/3 - 39*f**2 + 108*f/7 - 2936. Determine r so that o(r) = 0.
-9, 1/5, 6
Let p(o) be the first derivative of -120/7*o**2 + 0*o**5 + 101 + 288/7*o - 2/21*o**6 + 15/7*o**4 - 40/21*o**3. Factor p(j).
-4*(j - 2)**3*(j + 3)**2/7
Suppose 717*m = -574*m + 3873. Let s be (2/6)/((-2)/(-12)). Factor 0 - 2/7*d + 4/7*d**s - 2/7*d**m.
-2*d*(d - 1)**2/7
Let o be 5728*(-29)/(-45936) + (-6)/99. Factor -4/9 - o*r**2 - 4/3*r**4 - 28/9*r**3 - 2*r - 2/9*r**5.
-2*(r + 1)**4*(r + 2)/9
Suppose -3*i - 47 = 4*f, -5*i = -9*f + 5*f - 39. Let a(v) = -v**2 - 12*v - 6. Let u be a(f). Factor -25*m - 20*m**2 - 4 - u*m**3 - 11 + 5.
-5*(m + 1)**2*(m + 2)
Let o = -198391 - -198391. Factor o*x**3 + 0*x - 4/3*x**4 + 4/3*x**2 + 0.
-4*x**2*(x - 1)*(x + 1)/3
Let u(d) be the first derivative of 2*d**3/57 + 364*d**2/19 + 66248*d/19 + 482. Let u(j) = 0. What is j?
-182
Let z(o) be the second derivative of -o**4/20 + 833*o**3/10 - o - 808. Suppose z(q) = 0. Calculate q.
0, 833
Let a(k) be the first derivative of -k**4 + 4*k**2 + 4/3*k**3 + 0*k + 129. Solve a(q) = 0 for q.
-1, 0, 2
Let r(u) be the third derivative of u**8/1680 - u**6/360 + 4*u**3/3 + 100*u**2. Let j(g) be the first derivative of r(g). Solve j(x) = 0 for x.
-1, 0, 1
Let c(j) be the first derivative of -1006/3*j**3 - 490/3*j**5 - 48 - 148/3*j**2 - 8/3*j - 1295/3*j**4. Find m such that c(m) = 0.
-1, -2/35
Suppose -302*b + 294 + 126 - 95 = -279. Factor 0 - 2/7*k**b + 2/7*k.
-2*k*(k - 1)/7
Factor 0*r + 0 + 236*r**2 + 1/3*r**3.
r**2*(r + 708)/3
Let u(d) be the second derivative of -d**5/120 + 5*d**4/2 + 547*d**3/36 + 61*d**2/2 - 8506*d. Determine y so that u(y) = 0.
-2, -1, 183
Let b be (2/(-8))/((-50)/1200). Let -158*n**3 + 86*n + b - 24 - 26 - 40*n**2 + 156*n**3 = 0. Calculate n.
-22, 1
Solve 2/7*q**3 + 40/7*q**2 + 0 + 102/7*q = 0.
-17, -3, 0
Let j be ((-9)/5)/(29/(1015/(-21))). Let n(l) be the first derivative of -4 + 4/3*l - 4/9*l**j - 1/6*l**4 + 1/3*l**2. Determine w, given that n(w) = 0.
-2, -1, 1
Solve -64/7*t**5 + 0 - 32/7*t - 200/7*t**2 + 468/7*t**3 + 152/7*t**4 = 0.
-2, -1/8, 0, 1/2, 4
Suppose 180 = 117*w - 171. Let v(h) be the first derivative of -8/5*h - 1/5*h**2 - 11 + 1/15*h**w. Factor v(d).
(d - 4)*(d + 2)/5
Determine o so that 81/2*o**3 + 99/2*o**2 - 40*o - 50 = 0.
-10/9, 1
Find y, given that 15/4*y**2 + 228 + 1143/2*y = 0.
-152, -2/5
Let k = -13151/6 - -2192. Let y(f) be the second derivative of -16*f + k*f**4 + 0 + 1/18*f**3 - 5/6*f**2. Factor y(j).
(j + 1)*(6*j - 5)/3
Suppose -47 - 247 = 21*y. Let b be (-6)/y*301/645. Factor 1/5*x**2 + b + 2/5*x.
(x + 1)**2/5
Find n, given that -172/13*n - 2/13*n**2 + 174/13 = 0.
-87, 1
Let s(w) = -w + 49. Let t be s(21). Determine v so that 16 - 9*v**2 - 6*v**2 - 29*v**2 + t*v**4 + 16*v - 8*v**5 - 8*v**3 = 0.
-1, -1/2, 1, 2
Let w(x) be the second derivative of -1/36*x**4 - 1/540*x**6 + 0 - 1/27*x**3 - 3*x**2 - 1/90*x**5 + 10*x. Let c(r) be the first derivative of w(r). Factor c(f).
-2*(f + 1)**3/9
Let w(g) be the first derivative of -g**5/30 - 5*g**4/6 + g**3/6 + 105*g**2/2 - 216*g + 688. Factor w(r).
-(r - 3)**2*(r + 8)*(r + 18)/6
Let m(p) be the first derivative of -p**6/9 - 47*p**5/30 - 9*p**4/2 - 41*p**3/9 - 2*p**2/3 + 3*p/2 - 2741. Determine u, given that m(u) = 0.
-9, -1, 1/4
Let c(n) be the third derivative of -n**9/504 - 3*n**8/560 + n**6/120 - 80*n**3/3 + 242*n**2. Let v(q) be the first derivative of c(q). Solve v(d) = 0 for d.
-1, 0, 1/2
Let k be 40 - 61/((-15921)/(-638)). Let 52/9*l**3 + k*l**2 + 2/9*l**4 + 0 + 0*l = 0. What is l?
-13, 0
Let r(j) be the first derivative of 0*j**4 - 8*j**2 + 13 + 0*j + 1/80*j**5 + 0*j**3. Let w(f) be the second derivative of r(f). Suppose w(p) = 0. Calculate p.
0
Suppose 3*p = 0, 3*o + 6*p = 7*p + 243. Let q be o/243 - (-17)/3. Suppose 0 - 6*s - q*s**2 - 3/2*s**3 = 0. Calculate s.
-2, 0
Suppose 42 + 38 = 4*l. Solve -16*a**2 - 16*a - 11*a - 9*a + 2*a**3 - 2*a - l = 0.
-1, 10
Let i(p) be the first derivative of 16*p**3 - 24*p - 24/5*p**5 + 13 + 3/2*p**4 - 3/2*p**2 - 1/2*p**6. Solve i(x) = 0 for x.
-8, -1, 1
Let g(i) be the first derivative of 3*i**4/28 + 512*i**3/7 + 195063*i**2/14 - 396294*i/7 + 3895. Suppose g(p) = 0. Calculate p.
-257, 2
Let o(a) be the first derivative of a**4/72 - 11*a**3/36 + 3*a**2/2 + 4*a - 76. Let b(t) be the first derivative of o(t). Factor b(y).
(y - 9)*(y - 2)/6
Let h = -1590 - -66785/42. Let b(q) be the second derivative of -5/4*q**5 - 11*q - 5/6*q**6 + 0 + h*q**7 + 125/12*q**4 + 40*q**2 + 100/3*q**3. Factor b(t).
5*(t - 4)**2*(t + 1)**3
Let n = -2475 - -2480. Let q(v) be the third derivative of 0*v + 1/15*v**n - 13*v**2 + 0 - 1/30*v**6 + 0*v**4 + 0*v**3. Factor q(w).
-4*w**2*(w - 1)
Suppose 0 = 4*d + 125 - 145. Suppose 4*t = d*w + 28, 3*t - 6*w = -w + 26. Factor -1331/10*f**3 - 66/5*f 