19 - 32*q**3 + 4905 + 32*q + 94*q**2 - 9820 + 2*q**4 = 0.
-1, 1, 4, 12
Let o = -46925 + 328477/7. Find w such that 450/7 + 60/7*w + o*w**2 = 0.
-15
Factor -8/9*x**2 - 10 + 1/9*x**3 - 11*x.
(x - 15)*(x + 1)*(x + 6)/9
Solve -111/2*v - 3/2*v**5 - 78*v**2 - 51*v**3 - 15*v**4 - 15 = 0 for v.
-5, -2, -1
Let y be (-20)/(-15)*(19 - 1500/80). Let s(p) be the second derivative of 0*p**2 + 5/4*p**4 + y*p**3 + 3 - 2*p. Find u, given that s(u) = 0.
-2/15, 0
Find c such that 69*c - 11 - 318*c**4 + 27*c**4 + 60*c**4 + 224*c**3 + 8 + 57*c**5 + 130*c**3 - 246*c**2 = 0.
1/19, 1
Let g(t) be the first derivative of 4/3*t**4 + 256/3*t + 28 - 28*t**3 + 160*t**2. Factor g(y).
4*(y - 8)**2*(4*y + 1)/3
Suppose -684/7*j + 84*j**2 - 129/7*j**3 + 3/7*j**4 + 0 = 0. What is j?
0, 2, 3, 38
Suppose -68*i + 71*i = 5*t + 10, -5*t - i + 30 = 0. Determine x, given that 0 + 0*x**2 + 2/11*x**t - 8/11*x + 6/11*x**3 = 0.
-2, 0, 1
Let d be (-1*1)/((-3)/27). Let v(j) = -4*j - 136. Let n be v(-43). Let -27*z**3 + d*z - z - n*z**2 - 3*z + 21*z**4 + 7*z = 0. What is z?
-1, 0, 2/7, 2
Let u(r) be the second derivative of 275/6*r**3 + 15*r**2 - 95/12*r**4 + 2*r - 125. Solve u(d) = 0.
-2/19, 3
Let g(x) be the second derivative of -5/3*x**3 + 60*x + 1/63*x**7 - 4/3*x**2 + 0*x**6 - 1/3*x**5 + 0 - 10/9*x**4. Solve g(u) = 0.
-1, 4
Let n = 108 - 46. Let t = -62 + n. Determine k, given that 20*k**5 + 32*k**3 + 4*k**3 + t*k**2 - 48*k**4 - 8*k**2 + 0*k**3 = 0.
0, 2/5, 1
Factor -2016 - 458*o**2 + 147*o**2 + 2020*o + 148*o**2 + 159*o**2.
-4*(o - 504)*(o - 1)
Let j(n) be the first derivative of -n**6/30 + 3*n**5/4 - 9*n**4/4 + 13*n**3/6 + n + 110. Let x(p) be the first derivative of j(p). Factor x(c).
-c*(c - 13)*(c - 1)**2
Factor 69*z**4 - 72*z**4 - 33075 - 2442*z**2 - 8888*z + 192*z**3 - 4463*z - 6809*z.
-3*(z - 35)**2*(z + 3)**2
Let r = 7806586/8113 + -1262/1159. Factor 2/7*o**2 + r + 232/7*o.
2*(o + 58)**2/7
Let q(p) = p**3 + 9*p**2 + 5. Let m = 14 - 12. Let g(i) = -2*i - 1. Let w(j) = m*q(j) + 10*g(j). Factor w(r).
2*r*(r - 1)*(r + 10)
Let k(f) = -40*f**3 + 75*f**2 - 50*f - 25. Let j(s) = s**3 + s**2 - s + 7. Let v(z) = 5*j(z) + k(z). Let v(o) = 0. What is o?
2/7, 1
Let u be (1*4/(-5))/((-28)/70). Determine c, given that -c**3 - 6*c - u*c**3 + 33*c**2 + 0*c**3 - 42*c**2 = 0.
-2, -1, 0
Let x be (-282)/(-705) - 8/(-5). Determine v so that 12*v + 18 - 129/2*v**x - 15/2*v**4 + 42*v**3 = 0.
-2/5, 1, 2, 3
Find s such that 464/11*s + 42 + 2/11*s**2 = 0.
-231, -1
Let t(f) be the first derivative of -6*f**5/5 + 14*f**4 - 397*f**3/18 + 35*f**2/4 - 4*f/3 - 5742. Let t(w) = 0. Calculate w.
1/6, 1, 8
Let l be 4*(2 + 108/(-72)). Suppose 18/5*a**4 + 0*a**l - 2/5*a**3 - 16/5*a**5 + 0*a + 0 = 0. What is a?
0, 1/8, 1
Let w(n) = -n**2 + 9*n - 6. Let l be w(8). Suppose t = -2*b + 8, 7 + 7 = 5*t - 3*b. Let -g**3 + 24*g**2 + 0*g**3 - 24*g**l - g**t = 0. What is g?
-1, 0
Let p(s) be the second derivative of -1/66*s**4 + 0 + 4/11*s**2 + 182*s - 1/11*s**3. Determine x, given that p(x) = 0.
-4, 1
Suppose 2*o + 104 = 128*z - 141*z, -o + 4*z = -32. Let g(l) be the first derivative of -1/5*l**5 + 1/3*l**3 + 3/4*l**4 + 7 + o*l - 1/6*l**6 - l**2. Factor g(n).
-n*(n - 1)**2*(n + 1)*(n + 2)
Let j(d) be the third derivative of d**6/720 + d**5/20 - 5*d**3/2 - 9*d**2 - 19. Let y(g) be the first derivative of j(g). Suppose y(r) = 0. Calculate r.
-12, 0
Let j be (3 + 116*-1)/(2/(-4)). Suppose -t + j = 220. Suppose 20*p**4 - 17*p + 16*p**3 - 2 + t + p - 24*p**2 = 0. What is p?
-1, 1/5, 1
Determine d so that -1 - 2*d**5 - 3*d + d**2 + 35887*d**3 - 2*d**5 - 35880*d**3 = 0.
-1, -1/2, 1
Let y(f) = 2*f**2 + 127*f - 16315. Let v be y(64). Solve -b**3 + 1/2*b - 3/2 + 1/2*b**v + 3*b**2 - 3/2*b**4 = 0.
-1, 1, 3
Let f = -12588 + 12630. Solve -39 - f*r - 51/4*r**2 - 3/4*r**3 = 0.
-13, -2
Solve -1/3*g**2 - 374/3 - 125*g = 0 for g.
-374, -1
Factor -480*i**3 + 18*i**4 - 2*i**5 - 2048*i + 34*i**4 - 8741*i**2 + 10533*i**2.
-2*i*(i - 8)**3*(i - 2)
What is g in 4 - 258*g**2 - 3*g**5 + 162*g**3 - 33*g**4 + 142*g - 28 + 122*g - 87*g - 21 = 0?
-15, 1
Let h(o) be the third derivative of -o**7/42 + 73*o**6/24 + 37*o**5/6 + 51*o**2. Determine j so that h(j) = 0.
-1, 0, 74
Let w(b) = 42220*b**2 - 13576*b + 1036. Let i(v) = 3838*v**2 - 1234*v + 94. Let g(p) = -32*i(p) + 3*w(p). Let g(q) = 0. What is q?
5/31
Let i(m) be the second derivative of -4*m**5/5 + 257*m**4/3 - 632*m**3/3 + 126*m**2 + 973*m. Let i(h) = 0. Calculate h.
1/4, 1, 63
Let b be 307 + (0 - (-1)/(-2)*-10). Let t = -934/3 + b. Factor -4/3*u**2 - t*u**3 + 0 + 0*u.
-2*u**2*(u + 2)/3
Factor -65*h**2 - 8205*h**3 + 16413*h**3 - 8206*h**3 + 32*h.
h*(h - 32)*(2*h - 1)
Let w(o) be the second derivative of o**4/60 + 257*o**3/6 + 642*o**2/5 + 28*o + 1. Factor w(p).
(p + 1)*(p + 1284)/5
Let h(a) = 33*a**2 + 24135*a - 6918996. Let i(b) = -5*b**2 - 3448*b + 988428. Let v(x) = 4*h(x) + 27*i(x). Let v(d) = 0. What is d?
574
Let v(k) be the second derivative of k**5/10 + 25*k**4 + 99*k**3 + 148*k**2 - 104*k. Determine h so that v(h) = 0.
-148, -1
Let v(d) = d**3 + 46*d**2 + 47*d + 100. Let i be v(-45). Suppose -751*l + i*l**2 + 751*l - 35*l**3 + 25*l**4 = 0. Calculate l.
0, 2/5, 1
Let u(j) be the first derivative of j**8/560 + j**7/35 + 7*j**6/120 + j**3/3 + 14*j + 47. Let l(z) be the third derivative of u(z). Let l(c) = 0. Calculate c.
-7, -1, 0
Let p(z) be the first derivative of -7*z**6/200 - 3*z**5/10 - 9*z**4/10 - 4*z**3/5 - 2*z**2 + z - 23. Let a(n) be the second derivative of p(n). Factor a(i).
-3*(i + 2)**2*(7*i + 2)/5
Let p(v) be the second derivative of -5*v**7/42 + 35*v**6/2 - 2909*v**5/4 + 13345*v**4/4 - 4335*v**3 - 2*v + 433. Solve p(s) = 0 for s.
0, 1, 2, 51
Let j(i) be the second derivative of i**5/4 + 30*i**4 - 245*i**3/2 + 185*i**2 - i + 12. Factor j(a).
5*(a - 1)**2*(a + 74)
Let g(t) be the third derivative of 2*t**6/45 - 239*t**5/45 + 590*t**4/3 + 200*t**3 - 86*t**2 + 6*t. What is y in g(y) = 0?
-1/4, 30
Let u(v) be the third derivative of -v**6/540 - 49*v**5/135 - v**2 + 102*v. Determine z so that u(z) = 0.
-98, 0
Let f = -36 + 42. Suppose 6*a - 5*a = f. Let x(s) = s**2 + 12*s + 9. Let j(u) = -u. Let d(k) = a*j(k) + x(k). Find y such that d(y) = 0.
-3
Suppose 3*a - 6*c = -2*c - 12, a - 9 = -3*c. Suppose -2*r = 3*r - 2*f, 4*r - 3*f + 7 = a. Factor 0 - 10/3*l**3 + 8/3*l**4 - 2/3*l**5 + 4/3*l**r + 0*l.
-2*l**2*(l - 2)*(l - 1)**2/3
Let c(u) = -9*u + 262. Let b be c(26). Factor 148*h**3 - 152*h**3 - b*h**2 - 100*h - 8*h**2 - 4*h**2.
-4*h*(h + 5)**2
Let j(p) = -p**3 - 2*p**2 + 7*p + 15. Let t be j(-4). Suppose 2*k - 3*x = 13, -3*k + t = 3*x - 8*x. Factor -80 - 16*s + 39 + 41 - k*s**2 - s**3.
-s*(s + 4)**2
Let y = 1065364/98645 + 2/98645. Determine f, given that -42/5*f**2 - y*f**4 - 9/5*f - 72/5*f**3 - 3*f**5 + 0 = 0.
-1, -3/5, 0
Let t = -78810/7 - -78812/7. Factor 0 - 1/7*n**3 + 3/7*n - t*n**2.
-n*(n - 1)*(n + 3)/7
Let v be (((-367983)/(-35))/11 - 3) + (-48)/4. Suppose 43904/5 + 168/5*u**2 + 2/5*u**3 + v*u = 0. What is u?
-28
Let h(k) be the third derivative of -19663*k**8/12 - 424*k**7/15 - 2*k**6/15 - 2591*k**2. Factor h(p).
-4*p**3*(371*p + 2)**2
Let w(h) be the first derivative of 4*h**3/3 + 6*h**2 - 216*h - 80. What is u in w(u) = 0?
-9, 6
Let r(p) = 75*p - 5922. Let d be r(79). Let i(b) be the first derivative of -4/3*b**d - 8*b**2 - 37 + 20*b. Solve i(n) = 0.
-5, 1
What is w in 8/9*w**5 + 148/9*w**2 + 0 - 446/9*w**3 - 586/9*w**4 + 0*w = 0?
-1, 0, 1/4, 74
Let o(t) = 17*t**3 - 27*t**2 + 65*t + 97. Let d(s) = 8*s**3 - 2*s**2 - 3*s + 1. Let v(r) = 10*d(r) - 5*o(r). Let v(z) = 0. Calculate z.
-1, 5, 19
Let v(j) be the third derivative of -j**7/105 + 2*j**6/15 - 2*j**5/3 + 4*j**4/3 + 1138*j**2 - j. Suppose v(i) = 0. Calculate i.
0, 2, 4
Let l be (-4 + (145/30 - 0))/(109/327). Factor 3/2 + 2*y - l*y**2 - y**3.
-(y - 1)*(y + 3)*(2*y + 1)/2
Solve 1452/5*f - 175692/5 - 3/5*f**2 = 0 for f.
242
Let n = 12864 + -12861. Let c(l) be the second derivative of 0 + 1/132*l**4 + 11/2*l**2 + 1/3*l**n + 30*l. Solve c(g) = 0 for g.
-11
Let b(s) be the second derivative of -s**6/6 + 5*s**5/4 + 10*s**4 + 935*s + 1. Factor b(a).
-5*a**2*(a - 8)*(a + 3)
Suppose 160 = -3*o + 4*m + 168, -5*m - 10 = -2*o. Let t be 2/(-21) - 33/(-77). Factor t + o*h - 1/3*h**2.
-(h - 1)*(h + 1)/3
Let f(q) be the first derivative of q