rst derivative of 2*q**2 - 6*q + 11/18*q**3 + 1/24*q**4 + 28. Factor u(b).
(b - 1)*(b + 6)**2/6
Suppose w + 4*k - 361 = 0, 1381 = 4*w - 4*k - k. Factor -w*j - 2 + 174*j + 175*j + 2*j**2.
2*(j - 1)*(j + 1)
What is f in 268*f**2 + 188 - 2*f**3 - 62 + 168*f**2 - 7*f**3 - f**4 - 289*f**2 - 263*f = 0?
-18, 1, 7
Factor -8 - 140/9*d**2 + 2/9*d**5 + 20/9*d**4 + 190/9*d + 0*d**3.
2*(d - 1)**3*(d + 4)*(d + 9)/9
Let j(d) be the first derivative of -d**3/21 - 1716*d**2/7 - 2944656*d/7 + 5009. Solve j(c) = 0.
-1716
Let u = 29/21540 - -2182691/21540. Factor 11552/3 - u*c + 2/3*c**2.
2*(c - 76)**2/3
Find j such that 8*j + 5*j**2 - 147*j - 10*j**2 - 33*j + 820 - 13*j = 0.
-41, 4
Let z(f) be the third derivative of -f**8/840 + f**7/175 + 3*f**6/20 - 7*f**5/6 + 241*f**2 + 2. Determine i so that z(i) = 0.
-7, 0, 5
Let u(g) be the first derivative of -g**6/120 + g**5/12 + g**4/24 - 5*g**3/6 - 29*g**2/2 - 2*g + 176. Let d(t) be the second derivative of u(t). Factor d(k).
-(k - 5)*(k - 1)*(k + 1)
Let m(x) = -x**3 + 2*x**2 + 7*x + 4. Let q be m(0). Factor 131*s**2 + 35*s + s**4 + 33*s**3 - q*s - 68*s**2.
s*(s + 1)**2*(s + 31)
Determine i, given that -3/5*i**4 + 2511/5*i - 2019/5*i**2 + 4374/5 - 159/5*i**3 = 0.
-27, -1, 2
Let m = -265/14 - -136/7. Let k(c) be the first derivative of 3/25*c**5 - 3/5*c**3 + 2/5*c**2 + 0*c - 31 - m*c**4. Factor k(b).
b*(b - 4)*(b + 1)*(3*b - 1)/5
Let a = 3/7 - 11/42. Let n be ((-1)/3)/((-232)/116). Suppose -a - 1/6*d + n*d**2 + 1/6*d**3 = 0. What is d?
-1, 1
What is v in 96/5*v**3 + 2106/5*v**2 - 14/5*v**4 - 1/5*v**5 - 8748/5 + 6561/5*v = 0?
-9, 1, 12
Suppose 51 - 280 = -g + 4*q, -4*g - 4*q = -956. Suppose -13*r = -263 + g. Factor 2*d - 1/3 - d**4 + 10/3*d**3 - 4*d**r.
-(d - 1)**3*(3*d - 1)/3
Let u(g) be the second derivative of -g**5/50 - 109*g**4/15 - 12508*g**3/15 - 67416*g**2/5 - 5306*g. Suppose u(s) = 0. Calculate s.
-106, -6
Let b(c) be the second derivative of -1/80*c**5 - 5/48*c**4 + 103*c + 0 - 7/24*c**3 - 3/8*c**2. Factor b(q).
-(q + 1)**2*(q + 3)/4
Factor 0 + 2/7*q**4 + 78/7*q**2 - 6*q**3 - 38/7*q.
2*q*(q - 19)*(q - 1)**2/7
Let m = -8681971/7 - -1240297. Find i such that -220/7*i + m + 116/7*i**2 - 4/7*i**3 = 0.
1, 27
Find b, given that -3*b**2 - 2*b**3 + 4/3*b - 1/3*b**4 + 4 = 0.
-3, -2, 1
Let g be (((-3)/(-5))/(2079/(-1540)))/(14/(-9)). Factor 0*o + 0 + g*o**4 + 2*o**3 - 16/7*o**2.
2*o**2*(o - 1)*(o + 8)/7
Suppose 0 = 5*r + 5*o + 763 + 647, 4*o = 4*r + 1112. Let c be ((-28)/8)/((8 - 4)/r). Factor -v**2 - 70*v + 2*v**2 + 0*v**2 + 4*v**2 + c.
5*(v - 7)**2
Let f(w) be the first derivative of 5*w**4/4 + 415*w**3 - 2505*w**2/2 + 1255*w + 217. Suppose f(z) = 0. Calculate z.
-251, 1
What is r in -346*r**2 + 352*r + 291*r**2 - 166*r**2 + r**3 - 132*r**2 + 0*r**3 = 0?
0, 1, 352
Let p(l) be the third derivative of -l**8/1512 - 4*l**7/135 - 103*l**6/270 - 76*l**5/135 + 23*l**4/12 + 20*l**3/3 - 3*l**2 + 2*l - 10. Solve p(o) = 0.
-15, -12, -1, 1
Let p(k) be the second derivative of -k**4/90 + 97*k**3/15 - 58*k**2/3 + 26*k + 5. Find r, given that p(r) = 0.
1, 290
Let l(m) = 3*m**2 - 254*m - 1695. Let g(f) = -f + 3. Let s(c) = -7*g(c) - l(c). Factor s(r).
-3*(r - 93)*(r + 6)
Let q(x) be the second derivative of x**7/210 + x**6/90 - x**5/30 + 73*x**4/6 + 188*x. Let b(j) be the third derivative of q(j). Factor b(h).
4*(h + 1)*(3*h - 1)
Factor -146*s**2 - 20440*s + 20889680 + 465*s**2 - 168*s**2 - 146*s**2.
5*(s - 2044)**2
Let p = 841 - 838. What is g in 40*g + 22*g**p - 17*g**3 + 21*g**2 - 5*g**2 + g**2 + 13*g**2 = 0?
-4, -2, 0
Let j(x) be the third derivative of 1/30*x**6 - 3*x + 26/3*x**3 + 18*x**2 + 0 - 25/6*x**4 + 11/15*x**5. Solve j(i) = 0.
-13, 1
Let s(u) be the second derivative of -u**5/60 - 61*u**4/6 + 496*u**3/3 - 2992*u**2/3 - 15186*u. Suppose s(k) = 0. What is k?
-374, 4
Let f(j) = j**2 - 58*j + 844. Let l be f(29). Let g = -20 + 22. Factor 2/7*o**4 + 1/7*o + 0*o**l + 0 - 2/7*o**g - 1/7*o**5.
-o*(o - 1)**3*(o + 1)/7
Let b(g) be the first derivative of 76 + 27/28*g**4 - 4*g**3 + 54/7*g**2 - 48/7*g - 3/35*g**5. Let b(h) = 0. Calculate h.
1, 2, 4
Let q be 152/20*(-1255)/(-4769). Factor 3/2*k**3 + 3/4 - 1/2*k**q - 1/4*k**4 - 1/4*k**5 - 5/4*k.
-(k - 1)**3*(k + 1)*(k + 3)/4
Let w(i) be the third derivative of -i**8/2352 - 281*i**7/735 - 78961*i**6/840 - i**2 + 1335*i. Solve w(f) = 0 for f.
-281, 0
Determine h, given that -170/9*h + 0 + 2/9*h**2 = 0.
0, 85
Let h be 3 + 245 + (-1 - 2) + 5. Let i = h + -247. Suppose 0*s + 2/3*s**i + 4/3*s**2 + 0 = 0. Calculate s.
-2, 0
Let f(u) be the first derivative of -4205*u**3/3 + 580*u**2 - 80*u - 812. Factor f(n).
-5*(29*n - 4)**2
Let z(w) = -4*w**2 + 2*w - 1. Let j(x) = -396*x**2 - 7236*x - 40822. Let m(d) = -j(d) + 18*z(d). Let m(a) = 0. What is a?
-101/9
Solve -10*j**2 + 12/17*j + 28/17*j**5 + 110/17*j**4 + 20/17*j**3 + 0 = 0.
-3, -2, 0, 1/14, 1
Suppose 3*c**2 - 156*c - 45*c + 347*c + c**2 - 1680 + 402*c = 0. Calculate c.
-140, 3
Let c(g) be the third derivative of -g**5/300 - 69*g**4/20 - 14283*g**3/10 + 2*g**2 + 140*g. Factor c(z).
-(z + 207)**2/5
Let c(g) be the first derivative of g**4/9 + 20*g**3/3 + 58*g**2/3 + 33*g + 79. Let s(u) be the first derivative of c(u). Determine z, given that s(z) = 0.
-29, -1
Let i(a) be the first derivative of -a**3/15 + 27*a**2/10 - 72*a/5 + 9849. Factor i(l).
-(l - 24)*(l - 3)/5
Let x = 65 + -2053. Let m be (2/(-14))/(142/x). Suppose 12/5*a**m + 12/5*a + 0 - 9/5*a**3 = 0. What is a?
-2/3, 0, 2
Let w(r) be the second derivative of r**5/5 + 16*r**4/3 + 70*r**3/3 - 104*r**2 - r + 647. Find j such that w(j) = 0.
-13, -4, 1
Suppose 65*n + 52 - 75 = 237. Solve 3/4*d**2 - 3/8*d**5 + 3/2*d**3 - 9/8*d - 3/4*d**n + 0 = 0.
-3, -1, 0, 1
Suppose -12*g - 32*g**2 - 4*g + 1842762*g**3 + 8*g**4 - 1842774*g**3 + 4*g**5 = 0. What is g?
-2, -1, 0, 2
Let k(x) be the first derivative of -2*x**5/5 + 3*x**4/2 + 8*x**3/3 - 12*x**2 + 74. Factor k(g).
-2*g*(g - 3)*(g - 2)*(g + 2)
Suppose -3336*c + 3335*c = 0. Let u(f) be the second derivative of 1/11*f**2 + c*f**3 + 0 - 1/66*f**4 - 10*f. Factor u(m).
-2*(m - 1)*(m + 1)/11
Let g be 12 - 7 - (-1 - -1). Suppose 2*r - 23 = -g*s, 125 = -r + 6*r - s. Factor 12*o**5 + r*o**3 - 14*o**5 - 22*o**3.
-2*o**3*(o - 1)*(o + 1)
Let c be (23 - 2545/110)/(1 + 52/(-44)). What is p in 0 - c*p**2 + 3*p = 0?
0, 4
Let n(k) = 2*k**3 + k. Let f(x) = -9*x**3 + 64*x**2 + 1019*x. Let t(a) = a**3 + 10*a**2 - 22*a + 9. Let y be t(-12). Let w(r) = y*n(r) - 3*f(r). Factor w(m).
-3*m*(m + 32)**2
Let k be 6/(-10) + -10 + (-252)/(-20). Suppose 6 = -k*d + 3*q, 8*d = 4*d - q + 2. Suppose d*f + 2/9*f**3 + 0 + 4/9*f**2 = 0. Calculate f.
-2, 0
Suppose 2*d + 50 = d. Let y be d/20*18/(-15). Factor -2/9*k**2 + 2/9*k**y + 0 - 4/9*k.
2*k*(k - 2)*(k + 1)/9
Let o(a) be the first derivative of 4*a**5/25 - 12*a**4/5 + 56*a**3/5 - 104*a**2/5 + 84*a/5 - 2917. Factor o(v).
4*(v - 7)*(v - 3)*(v - 1)**2/5
Let p = -88 + 140. Let h = 55 - p. Suppose -3*m**4 - 41*m + 41*m + 4*m**5 + 2*m**2 - 3*m**h - 2*m**5 = 0. What is m?
-1, 0, 1/2, 2
Let b(q) be the third derivative of q**8/168 - q**6/20 - q**5/15 + 8*q**2 + 61*q. Factor b(p).
2*p**2*(p - 2)*(p + 1)**2
Let p(y) be the first derivative of -25/7*y**2 + 625/7*y + 1/21*y**3 + 306. Suppose p(w) = 0. What is w?
25
Let x = 101 - 91. Factor 2*c**3 + 2 - 6*c**2 + 14*c**2 - x*c**2 + 0*c**3 - 2*c.
2*(c - 1)**2*(c + 1)
Let g(k) = -45*k**2 + 51*k - 28. Let a(u) be the second derivative of -u**4/3 + u**3/6 + u**2/2 + 62*u. Let t(i) = -44*a(i) + 4*g(i). Solve t(x) = 0.
1, 39
Let a be (23/23)/(1/(-6)*-3). Let q(u) be the first derivative of u**3 + 4 - 9/10*u**a + 0*u. Determine y, given that q(y) = 0.
0, 3/5
Suppose -1713*j + 10 = 5 + 7 - 2. Factor 0 + j*w + 3*w**2 + 1/2*w**3.
w**2*(w + 6)/2
Let o(t) be the second derivative of -54*t**6/5 + 1206*t**5/5 - 4669*t**4/3 + 6928*t**3/3 - 1440*t**2 - t - 2571. Let o(r) = 0. What is r?
4/9, 5, 9
Let d(y) be the first derivative of -27/16*y**4 - 35 + 0*y - 3/8*y**2 - 3/5*y**5 - 3/2*y**3. Determine q so that d(q) = 0.
-1, -1/4, 0
Let q(w) be the third derivative of 1/300*w**6 + 7/45*w**3 - 7/450*w**5 + 0*w - 1/60*w**4 - 35*w**2 + 0. Factor q(x).
2*(x - 1)*(x + 1)*(3*x - 7)/15
Let a be 696/696 + (-32)/(-5) + -3. Determine m, given that 44/15*m**3 + 8/15 + 2/3*m**4 + a*m**2 + 8/3*m = 0.
-2, -1, -2/5
Let a(g) 