 - 2. Suppose o(q) = 0. What is q?
2, 202
Let f(w) be the second derivative of -w**4/6 - 23*w**3/3 - 132*w**2 + 4385*w. Suppose f(i) = 0. What is i?
-12, -11
Let c(m) be the third derivative of m**6/120 + m**5/15 + 5*m**4/24 + m**3/3 - 2*m**2 + 910. Find h such that c(h) = 0.
-2, -1
Let x(t) = -65*t**2 - 981*t - 90. Let p be x(-15). Let i(f) be the second derivative of -5/6*f**3 - 8*f + 10*f**2 + p - 5/24*f**4. Factor i(s).
-5*(s - 2)*(s + 4)/2
Let c(b) be the first derivative of 4/9*b**2 + 111 - 1/18*b**4 + 8/9*b - 2/27*b**3. Factor c(g).
-2*(g - 2)*(g + 1)*(g + 2)/9
Suppose -2/17*l**4 + 0*l + 0 - 220/17*l**2 - 222/17*l**3 = 0. What is l?
-110, -1, 0
What is b in 13*b**3 - 96 - 172*b + 9*b**3 - 19847*b**2 + b**4 + 19792*b**2 = 0?
-24, -1, 4
Let w be (180265/(-9304))/(10/(-8)). Determine c, given that -22*c + 12 - 27*c**2 + w*c**3 + 6*c**4 - 5/2*c**5 = 0.
-2, -1, 2/5, 2, 3
Let w(s) be the first derivative of s**7/2100 + s**6/900 - 2*s**5/75 - s**4/5 - 2*s**3/3 - 28*s - 38. Let o(b) be the third derivative of w(b). Factor o(q).
2*(q - 3)*(q + 2)**2/5
Let w(a) = -a**3 + 18*a**2 + 44*a - 78. Let s be w(20). Determine b, given that -10 - 5*b**4 + 15 - 190*b + 94 + 21 + 60*b**3 + 15*b**s = 0.
-2, 1, 12
Suppose 5*x - 16 = 3*s + x, 3*s + 17 = 5*x. Let v be (s/(-12))/((-1)/(-57)). Suppose -v*w - 20 + 5*w**3 - 10*w**2 - 23*w + 7*w = 0. Calculate w.
-1, 4
Let o = 99 + -45. Solve f**2 - 4*f**2 - 137 + o*f - 106 = 0.
9
Let c(z) be the first derivative of z**4/6 + 1898*z**3/9 - 950*z**2/3 - 5333. Factor c(w).
2*w*(w - 1)*(w + 950)/3
Factor 0 + 600/11*d - 2/11*d**2.
-2*d*(d - 300)/11
Let m be 8 + (462/(-114) - 50/(-950)). Determine n so that -1/2*n**5 + m*n**2 + 0*n + 0 + 3*n**4 - 6*n**3 = 0.
0, 2
Let u = 87438 - 87436. Let 2*z**3 - u*z**2 + z - z**4 - 1/5 + 1/5*z**5 = 0. What is z?
1
Let v = -272217 - -1095573/4. Let p = v - 1676. Factor 1/2*t + 0 + 3/4*t**2 - p*t**4 + 0*t**3.
-t*(t - 2)*(t + 1)**2/4
Suppose 16928 + 15456*w - 28631*w**4 + 828*w - 796*w**2 - 156*w**3 + 28627*w**4 = 0. Calculate w.
-23, -1, 8
Let x be 180/22 - 6/33. Suppose 4*y + 16 = -8*r + 4*r, -4*y + 2*r = -x. Factor -9/2*h**3 + 6*h**4 + 0 - 3/2*h**2 + y*h.
3*h**2*(h - 1)*(4*h + 1)/2
What is t in 100*t + 57*t - 165*t - 76*t - 242*t + t**2 = 0?
0, 326
Let z be -10 + ((-3021)/(-285) - 0). Let -z*c**4 + 0 + 0*c + 6/5*c**3 + 0*c**2 = 0. Calculate c.
0, 2
Let x(g) = -13*g**3 - 109*g**2 - 118*g + 228. Let s(h) = 2*h**3 - h**2 + h. Let q(o) = 6*s(o) + x(o). Factor q(j).
-(j - 1)*(j + 2)*(j + 114)
Let c(g) be the first derivative of 310*g**3/7 + 921*g**2/14 - 9*g/7 - 3654. Factor c(j).
3*(j + 1)*(310*j - 3)/7
Let q(d) = 585*d + 2344. Let g be q(-4). Determine w so that 8/5*w**3 - 6*w**g - 8/5*w + 38/5*w**2 - 8/5 = 0.
-1, -2/5, 2/3, 1
Let -191/5*c**2 - 122/5*c**3 + 32*c - 3/5*c**4 + 156/5 = 0. What is c?
-39, -2, -2/3, 1
Let c be (627/228)/1 + 2/8. Determine u, given that 808/7*u + 49590/7*u**c - 16/7 - 12172/7*u**2 - 8100*u**4 = 0.
2/45, 2/7, 1/2
Let c be 190/315 - 6*9/252. Let i(x) be the second derivative of -1/9*x**3 + 1/30*x**5 - 15*x - c*x**4 + 0 + 1/45*x**6 + 2*x**2. Determine z so that i(z) = 0.
-3, -1, 1, 2
Find o, given that -12/5*o - 9/5*o**3 + 0 - 23/5*o**2 + 3/5*o**4 + 1/5*o**5 = 0.
-4, -1, 0, 3
Suppose -1/2*j**5 - 143/2*j**3 + 79/2*j**2 - 56 + 33/2*j**4 + 72*j = 0. Calculate j.
-1, 1, 4, 28
Let c(u) be the first derivative of 1/20*u**4 + 174 + 1/25*u**5 + 0*u + 0*u**2 - 2/15*u**3. Factor c(s).
s**2*(s - 1)*(s + 2)/5
Let s(r) be the first derivative of -108 - 3/7*r**2 + 0*r - 15/28*r**4 + r**3. Factor s(n).
-3*n*(n - 1)*(5*n - 2)/7
Let r(a) = -5*a + 30 - 5*a + 22*a - 10*a. Let k be r(-13). Factor 0*f**2 + 0*f - 2/9*f**5 + 0*f**3 - 2/9*f**k + 0.
-2*f**4*(f + 1)/9
Let t(v) be the first derivative of 6*v**5/5 - 3508*v**4 + 8208718*v**3/3 - 2733122*v**2 + 5839. Let t(q) = 0. Calculate q.
0, 2/3, 1169
Determine r so that -330/7*r**2 + 108/7*r + 141/7*r**3 - 15/7*r**4 + 216/7 = 0.
-3/5, 2, 6
Let n(r) be the first derivative of -13/21*r**3 + 13/35*r**5 - 9/28*r**4 - 41 + 0*r - 1/7*r**2 + 11/42*r**6. Determine d, given that n(d) = 0.
-1, -2/11, 0, 1
Let w(g) be the third derivative of g**5/180 - 37*g**4/72 + 2*g**3 - 1545*g**2 - 1. Factor w(c).
(c - 36)*(c - 1)/3
Let w(p) = -8*p**3 - 24*p**2 - 16*p. Let t(l) = -4*l**3 - 12*l**2 - 8*l. Suppose 0 = 8*o + 633 - 577. Let v = -2 + 5. Let f(d) = o*t(d) + v*w(d). Factor f(r).
4*r*(r + 1)*(r + 2)
Let u(h) be the third derivative of 11*h**5/135 + 139*h**4/36 - 19*h**3/27 - 1215*h**2. Factor u(d).
2*(d + 19)*(22*d - 1)/9
Determine k, given that -253/5*k - 1/5*k**2 - 150 = 0.
-250, -3
Suppose -16*w + 900 = -732. Find r, given that -2*r**3 + 102 - w + 34*r - 32*r**2 = 0.
-17, 0, 1
Let w(u) = -9*u - 188. Let o be w(-24). Let j be (o/27 + -1)/((-25)/(-150)). Determine s so that -2/9*s**2 + 4/9*s + 0 + j*s**4 - 4/9*s**3 = 0.
-1, 0, 1, 2
Suppose -11*z**3 - 51*z + 63*z - 12*z + 5*z**3 + 430*z**2 = 0. Calculate z.
0, 215/3
Suppose -44/3*v + 8*v**2 + 0 - 1/3*v**3 = 0. Calculate v.
0, 2, 22
Let u(x) be the second derivative of 0 + 76*x + 1/135*x**6 - 28/27*x**3 + 1/90*x**5 - 16/9*x**2 - 2/9*x**4. Factor u(c).
2*(c - 4)*(c + 1)*(c + 2)**2/9
Let b(n) be the second derivative of -n**5/220 - n**4/66 + 3*n**3/2 - 13510*n. Determine p, given that b(p) = 0.
-11, 0, 9
Let h(p) be the second derivative of -p**6/40 - p**5/5 - p**4/8 + 3*p**3 - 45*p**2/2 - 9*p + 1. Let z(c) be the first derivative of h(c). Factor z(t).
-3*(t - 1)*(t + 2)*(t + 3)
Suppose -290 - 273 = -20*o - 503. Factor 2/17*i**o - 22/17*i + 8/17*i**2 + 12/17.
2*(i - 1)**2*(i + 6)/17
Let n = -1045/21 + 8821/21. Let h = n + -370. Solve -3/7*s**3 + 0 + 0*s + h*s**2 = 0.
0, 2/3
Factor -2124/7 + 4/7*j**2 - 200/7*j.
4*(j - 59)*(j + 9)/7
Let 2*u**2 - u**2 + 24811 - 3*u**2 - 62*u - 25179 = 0. Calculate u.
-23, -8
Let l = 505259 + -14145231/28. Let w = l + -267/4. Let 4/7 + 26/7*k**3 + 6/7*k**4 + w*k**2 + 22/7*k = 0. Calculate k.
-2, -1, -1/3
Determine m so that 17/6*m + 1/6*m**3 - 2*m**2 + 5 = 0.
-1, 3, 10
Let q = -11589/10325 - -28/25. Let g = 8257/1239 - q. What is v in -4/3*v - 7/3*v**4 + 0 - g*v**2 - 23/3*v**3 = 0?
-2, -1, -2/7, 0
Let t(p) be the first derivative of -p**4/2 - 194*p**3/3 + p**2 + 194*p - 680. Suppose t(f) = 0. What is f?
-97, -1, 1
Let q = 3575 + -3568. Let i(f) be the first derivative of -1/14*f**4 + q + 0*f + 4/21*f**3 - 1/7*f**2. Factor i(l).
-2*l*(l - 1)**2/7
Suppose 32*c - 78 = -17 + 3. Suppose 2 + 1/4*v**c - 3/2*v = 0. Calculate v.
2, 4
Let g(a) be the first derivative of -a**5 + 35*a**4/4 - 40*a**3/3 - 40*a**2 + 1182. Find i such that g(i) = 0.
-1, 0, 4
Let q(v) be the first derivative of -54*v**5/5 + 23*v**4/2 + 278*v**3/3 + 101*v**2 + 24*v - 1791. Let q(s) = 0. Calculate s.
-1, -4/27, 3
Let i = 798 - 1108. Let v be 16/10*i/(-248). Suppose 0 + 2/3*b**v - 1/3*b**3 + 0*b = 0. Calculate b.
0, 2
Let y(i) be the third derivative of 0 + 0*i + 107/420*i**5 - 22*i**2 + 1/294*i**8 + 2/735*i**7 + 4/21*i**3 - 41/420*i**6 - 25/84*i**4. Factor y(w).
(w - 2)*(w + 4)*(2*w - 1)**3/7
Suppose -4*q + 40 = -43*n + 41*n, 5*n - q = -109. Let p be -3 + (-68)/n + (-30)/(-154). Factor 0 + p*w**2 - 2/7*w.
2*w*(w - 1)/7
Let t be -1 - ((-1 - -4) + 5). Let m be 9/(-2)*6/t. Determine f so that -12*f**2 - 30*f**2 - m*f**4 - 6*f**2 - 24*f**3 = 0.
-4, 0
Let o(b) be the second derivative of 2*b**5/65 + 2335*b**4/78 - 584*b**3/39 + 6341*b. Factor o(t).
2*t*(t + 584)*(4*t - 1)/13
Factor -2486/3*g - 548/3 - 30*g**2.
-2*(5*g + 137)*(9*g + 2)/3
Let x(y) = 8*y**3 - 985*y**2 - 33937*y + 499491. Let b(v) = 2*v**3 - 328*v**2 - 11312*v + 166500. Let o(z) = -14*b(z) + 4*x(z). Factor o(u).
4*(u - 11)*(u + 87)**2
Let y(f) = 5*f**3 + 198*f**2 - 213*f - 414. Let i(g) = -25*g**3 - 989*g**2 + 1064*g + 2072. Let u(a) = 2*i(a) + 11*y(a). Solve u(o) = 0 for o.
-41, -1, 2
Let h(a) be the third derivative of -a**5/270 + 41*a**4/6 - 5043*a**3 - 2782*a**2. Factor h(j).
-2*(j - 369)**2/9
Suppose 0 = 16*q - 602 - 486. Suppose -q*f + 72*f = 20. Factor 0*l**4 - 3/5*l + 0 + 0*l**2 + 6/5*l**3 - 3/5*l**f.
-3*l*(l - 1)**2*(l + 1)**2/5
Solve -1166*l**2 + 1634*l - 24 - 2080*l - 946*l**3 - 238*l**4 + 36 = 0 for l.
-2, -1, 3/119
Suppose -3*t + 85 = 2*t. Factor s**2 + 207*s - 9*s**2 + t*s + 4*s**2 - 3136.
-4*(s - 28)**2
Let b = 2945/147 + -900/49. Let