*m**2 - 1/9*m**3 + 9 - u*m. Factor f(d).
-(d + 1)*(d + 4)/3
Suppose -60*a + 299 = -1. Let i(s) be the second derivative of 5/24*s**3 - 5/24*s**4 + 0*s**2 + 1/16*s**5 + a*s + 0. Find g such that i(g) = 0.
0, 1
Let y(t) be the first derivative of 7*t**3/8 + 201*t**2/8 - 2585. Solve y(b) = 0 for b.
-134/7, 0
Let j(l) be the second derivative of -3*l**6/40 + 15*l**5/16 + 457*l**4/16 + 1195*l**3/8 - 675*l**2/4 + 240*l. Solve j(n) = 0.
-5, 1/3, 18
Let h(j) be the second derivative of j**6/15 + 2*j**5/3 - 23*j**4/6 - 6*j**3 + 636*j. Solve h(w) = 0.
-9, -2/3, 0, 3
Let t(o) be the third derivative of -o**7/560 + o**6/240 + o**5/40 - 68*o**3/3 - 12*o**2 + 5. Let i(y) be the first derivative of t(y). Factor i(u).
-3*u*(u - 2)*(u + 1)/2
Let d(b) = 397*b**2 + 43*b. Let z(g) = 131*g**2 + 14*g. Let s(p) = 4*d(p) - 13*z(p). Factor s(m).
-5*m*(23*m + 2)
Factor 4*q**4 - 68*q**3 - 62*q - 15*q + 172*q**2 + 4*q**2 - 61*q + 26*q.
4*q*(q - 14)*(q - 2)*(q - 1)
Find l such that 182/5*l + 528/5 + 2/5*l**2 = 0.
-88, -3
Determine c so that -71/7*c**3 + 37/7*c**4 + 0 + 0*c - 1/7*c**5 + 5*c**2 = 0.
0, 1, 35
Let r(t) be the second derivative of -2*t**7/357 - t**6/255 + 13*t**5/170 + t**4/51 - 20*t**3/51 + 8*t**2/17 + 837*t. What is j in r(j) = 0?
-2, 1/2, 1, 2
Factor 601*d**2 + 5952 - 3*d**4 + 57*d**3 - 1149*d + 559*d**2 + 3408*d + 2013*d - 188*d**2.
-3*(d - 31)*(d + 4)**3
Let b be -6 - (-220)/10 - (-20)/(-2). Let g(w) be the third derivative of 0 - 7/156*w**4 + 1/195*w**5 + b*w**2 + 1/780*w**6 + 4/39*w**3 + 0*w. Factor g(a).
2*(a - 1)**2*(a + 4)/13
Let w(x) be the first derivative of -7*x**6/15 - 74*x**5/25 + 9*x**4/5 + 296*x**3/15 + 8*x**2 - 885. Let w(l) = 0. What is l?
-5, -2, -2/7, 0, 2
Let f(n) be the first derivative of n**4/2 + 194*n**3/3 + 385*n**2/4 + 48*n - 785. Find z such that f(z) = 0.
-96, -1/2
Let u(i) be the first derivative of -4*i**3/3 - 12*i**2 + 864*i - 3166. Factor u(p).
-4*(p - 12)*(p + 18)
What is q in 0 + 2/23*q**3 - 164/23*q**2 + 320/23*q = 0?
0, 2, 80
Let a(u) be the second derivative of -7*u**6/165 + 59*u**5/110 - 115*u**4/66 + 27*u**3/11 - 18*u**2/11 + 4*u + 13. Suppose a(k) = 0. What is k?
3/7, 1, 6
Let y(m) be the third derivative of -m**8/84 + 16*m**7/105 + 7*m**6/10 - 8*m**5/15 - 10*m**4/3 - 4115*m**2 + 2*m. Solve y(w) = 0 for w.
-2, -1, 0, 1, 10
Let w(x) = 10*x**2 - 50000*x + 49965. Let j(m) = m**2 - 6250*m + 6246. Let b(q) = -25*j(q) + 3*w(q). Solve b(p) = 0 for p.
-1251, 1
Let l(x) be the second derivative of 12/5*x**2 - 1/50*x**5 + 188*x + 0 + 4/15*x**3 - 1/10*x**4. What is i in l(i) = 0?
-3, -2, 2
Let y = -660 - -660. Let x(a) be the second derivative of y + 0*a**2 - 1/6*a**3 + 8*a - 1/48*a**4. Factor x(o).
-o*(o + 4)/4
Let s(v) be the second derivative of -9*v**6/10 + 1479*v**5/20 - 179*v**4/2 - 538*v**3 - 324*v**2 - 4700*v. What is o in s(o) = 0?
-1, -2/9, 2, 54
Let d(b) = 164*b - 22. Let r be d(28). Suppose -3*f - 2743 = -6*f - 2*p, -5*f + r = 5*p. Suppose 915*z**4 - f*z**4 + 2*z**2 + z**5 - 3*z**3 = 0. Calculate z.
-2, 0, 1
Let i = 7941 + -34741877/4375. Let t = 43744/13125 - i. Let -5/2*c**3 + 5/3*c**4 + t*c - 10/3*c**2 + 0 + 5/6*c**5 = 0. Calculate c.
-2, 0, 1
Determine k, given that 362/5*k**2 + 56/5*k**3 + 0 - 84*k + 2/5*k**4 = 0.
-15, -14, 0, 1
Let x(f) be the third derivative of f**8/2688 - 17*f**7/1680 + f**6/12 - 5*f**5/24 - 2208*f**2. Find s, given that x(s) = 0.
0, 2, 5, 10
Suppose -2*d = -8*d + 6. Suppose -5*z = -5*i + 10, i - 9*z - d = -7*z. Suppose 1/2*h**2 - 1/2*h**4 + 1/3*h + 0 - 1/6*h**5 - 1/6*h**i = 0. What is h?
-2, -1, 0, 1
Let j = -76026 - -304105/4. Determine n so that -j*n**2 + 5/4*n + 0 = 0.
0, 5
Suppose -5*x = 2*t + 29, -12*t + 10*t - 14 = 2*x. Let j be (70/(-63))/x*3. Factor -4 - 14/3*b - j*b**2.
-2*(b + 1)*(b + 6)/3
Factor 0 - 34/3*x - 1/6*x**3 + 6*x**2.
-x*(x - 34)*(x - 2)/6
Let u(h) be the first derivative of 3*h**5/20 - 7*h**4/4 - 9*h**3 - 113*h + 106. Let y(p) be the first derivative of u(p). Determine c so that y(c) = 0.
-2, 0, 9
Let u(x) be the first derivative of 9*x**5/5 + 93*x**4/2 + 163*x**3 - 642*x**2 - 1020*x - 3216. What is s in u(s) = 0?
-17, -5, -2/3, 2
Let t(q) be the second derivative of q**5/100 - 3*q**4/10 + 77*q**3/30 - 6*q**2 - 198*q. Factor t(j).
(j - 12)*(j - 5)*(j - 1)/5
Let k(p) = p + 7. Suppose -3*s = -5*l - 23, 0 = -l + 3*l + 2*s + 6. Let w be k(l). Factor -4 + w*g**3 - 108*g**2 + 10*g + 100*g**2 - g**3.
2*(g - 2)*(g - 1)**2
Find x such that 360 + 327*x - 46*x**2 - 5*x**4 + 169*x - 346*x - 40*x**3 - 19*x**2 = 0.
-4, -3, 2
Let z(a) = -9 - 2*a**3 - 11 + 0*a + a**2 + a**2 + 2*a - 2*a**4. Let d(n) = -2. Let t(w) = -10*d(w) + z(w). Factor t(q).
-2*q*(q - 1)*(q + 1)**2
Let s = 13 - 10. Let v = 358/43 - 386/129. Factor -v - 2/3*g**s + 2*g**2 + 4*g.
-2*(g - 4)*(g - 1)*(g + 2)/3
Let f(g) = -10*g**2 - 6*g + 7. Let r be f(1). Let v be r + 6 + 9 - 1. Determine z so that -2 - 17/4*z**3 + 5*z + 7/4*z**v - 4*z**4 + 17/2*z**2 = 0.
-1, 2/7, 2
Let k(h) be the first derivative of -h**7/7140 + h**6/255 + 13*h**5/1020 - 13*h**3/3 - 3*h - 29. Let m(c) be the third derivative of k(c). Factor m(b).
-2*b*(b - 13)*(b + 1)/17
Suppose -47258883 - 24570*d**3 - 533*d**4 - 18753525*d - 1259923*d**2 + 188293*d**2 + 278*d**4 - d**5 = 0. What is d?
-63, -3
Suppose 2*l = 7*l - 4*d - 554, 5*l = -4*d + 586. Factor 48*z**2 - 1061*z - 1092*z + 1988*z + l + 3*z**3.
3*(z - 2)*(z - 1)*(z + 19)
Factor -18*l**2 - 43 + 99*l - 69*l + 9*l**3 - 67*l - 47*l + 3*l**4 - 29.
3*(l - 3)*(l + 2)**3
Let r(m) be the second derivative of -m**6/6 - 3*m**5/2 + 25*m**4/4 + 380*m**3/3 + 600*m**2 + 540*m. Factor r(p).
-5*(p - 5)*(p + 3)*(p + 4)**2
Let f(o) be the third derivative of -o**5/48 - 115*o**4/96 + 5*o**3 - 2*o**2 + 2*o - 6. Solve f(t) = 0.
-24, 1
Suppose -4188/5*o - 2/5*o**2 - 2192418/5 = 0. What is o?
-1047
Let p(i) = 11*i**3 + 34*i**2 + 62*i + 27. Let g(o) = -8*o**3 - 34*o**2 - 62*o - 28. Let v(u) = -3*g(u) - 2*p(u). Find t such that v(t) = 0.
-15, -1
Suppose 47*o = 51*o - 8. What is f in -15*f**2 - 2*f - 4 + 2*f**3 + 55*f**o - 18*f**2 - 18*f**2 = 0?
-2, -1, 1
What is h in -396*h**3 - 263/2*h + 395*h**2 + 133*h**4 - 1/2*h**5 + 0 = 0?
0, 1, 263
Find g such that -2/7*g**3 + 0 + 275/7*g - 549/7*g**2 = 0.
-275, 0, 1/2
Suppose -1354 = 7*f - 374. Let o be f/(-105) - (-130)/33. Determine h, given that -40/11*h**2 + 0 + o*h**3 + 6/11*h + 24/11*h**4 = 0.
-3, 0, 1/4, 1/3
Let y(s) = 205*s + 7587. Let i be y(-37). Suppose -16/9*l**i + 8/9*l**5 - 4/3*l + 2*l**4 + 4/9*l**3 - 2/9 = 0. Calculate l.
-1, -1/4, 1
Let o(j) be the second derivative of j**4/4 + 121*j**3 + 43923*j**2/2 + 737*j. Suppose o(h) = 0. Calculate h.
-121
Let k(x) = x**2 - 2*x. Let p(l) = 3*l**2 + 112*l + 3364. Let r(d) = -2*k(d) + p(d). Factor r(j).
(j + 58)**2
Let s be (3 - 89) + (-52830)/(-587). Determine x, given that -8/3*x - 38/3*x**2 - 5/6*x**s + 0 - 12*x**3 + 7/6*x**5 = 0.
-2, -1, -2/7, 0, 4
Factor -14*h - 17/6*h**2 + 0 + 1/6*h**3.
h*(h - 21)*(h + 4)/6
Let t(a) be the first derivative of 2*a**5/5 + 51*a**4/2 + 506*a**3 + 2645*a**2 - 1432. Factor t(c).
2*c*(c + 5)*(c + 23)**2
Let c(b) = -4*b**3 + 89*b**2 - 146*b + 71. Let w = 118 + -112. Let g(n) = -2*n**3 + 45*n**2 - 72*n + 35. Let d(h) = w*c(h) - 10*g(h). Factor d(r).
-4*(r - 19)*(r - 1)**2
Let x = 234784 + -1173894/5. Factor 4/5*y**2 + 4 - 2/5*y**3 + x*y.
-2*(y - 5)*(y + 1)*(y + 2)/5
Let g(w) be the first derivative of 0*w**3 + 5 + 0*w**4 + 0*w + 4/5*w**5 - 2/3*w**6 + 0*w**2. Factor g(f).
-4*f**4*(f - 1)
Let b be ((6/(-8))/(-3))/(9265/7412). Factor -24/5*o**2 + 0 + 144/5*o + b*o**3.
o*(o - 12)**2/5
Let a(r) be the second derivative of 1/75*r**6 + 0*r**2 - r - 1/105*r**7 + 1/50*r**5 + 2 - 1/30*r**4 + 0*r**3. Factor a(d).
-2*d**2*(d - 1)**2*(d + 1)/5
Determine m so that -279/2*m**4 - 81/2*m**5 - 31/2*m**3 + 56*m + 6 + 267/2*m**2 = 0.
-3, -1, -2/9, 1
Let x(f) = 83*f**2 + 107*f + 606. Let j(v) = 9*v**2 - v - 2. Let p(t) = 9*j(t) - x(t). Let p(c) = 0. What is c?
-52, -6
Suppose 0 = -7*h + 143 - 129. Suppose 111*k - 59*k - 44*k - h*k**3 - 6*k**2 = 0. What is k?
-4, 0, 1
Factor 0*v**2 - 85/4*v**3 + 0 - 39/8*v**4 + 0*v - 1/8*v**5.
-v**3*(v + 5)*(v + 34)/8
Let y(c) = -c + 9. Let h be y(5). Suppose t + z = 3 + 2, -t + 5 = -h*z. Solve 12*d**5 - 5*d**4 - 27*d**t - d**4 + 13*d**5 - 4*d**3 = 0.
-2, -1, 0
Let p(l) = -l**2 - 8*l 