 -w - 4*b = -2. Find r such that -3/4*r**w - 3*r + 9 = 0.
-6, 2
Let 262*k**2 - 34*k - 4*k**5 - 52*k**4 - 200*k - 209*k + 88*k**3 - 229*k + 138*k**2 = 0. What is k?
-14, -3, 0, 2
Let w(u) = 5*u**2 - 62*u + 30. Let y be w(12). Suppose -4*x + 3*b - 6 = -15, 0 = -5*x - 2*b - y. Solve -3/5*t**3 + 9/5*t + x*t**2 + 6/5 = 0 for t.
-1, 2
Let u(r) be the first derivative of -4*r**5/5 + 21*r**4 - 224*r**3/3 + 72*r**2 - 6249. Factor u(w).
-4*w*(w - 18)*(w - 2)*(w - 1)
Let p be (((-93)/310)/(3/15))/(3/(-4)). Let v(u) be the first derivative of 0*u + p + 0*u**2 + 4/3*u**3. Suppose v(x) = 0. What is x?
0
Let o(h) = -2*h**3 + 200*h**2 + 1130*h + 1676. Let b(x) = 7*x**3 - 601*x**2 - 3392*x - 5033. Let m(k) = 4*b(k) + 13*o(k). Factor m(t).
2*(t + 3)**2*(t + 92)
Suppose -617 = 17*s + 1712. Let w = -410/3 - s. Factor 0*d - w + 0*d**3 + 2/3*d**2 - 1/3*d**4.
-(d - 1)**2*(d + 1)**2/3
Let k(i) be the first derivative of 1/15*i**3 - 72 + 20*i + 2*i**2. Factor k(v).
(v + 10)**2/5
Suppose 0 = 478*d - 484*d + 4*l + 12, 4*l + 4 = 4*d. Factor 2/7*b**5 - 12/7*b**3 - 6/7 + 2/7*b**d - 4*b**2 - 22/7*b.
2*(b - 3)*(b + 1)**4/7
What is u in -31/5*u**4 - 1303/5*u**2 - 498/5*u**3 - 52/5 - 888/5*u = 0?
-13, -2, -1, -2/31
Let g(y) be the third derivative of y**6/180 - 13*y**5/15 - 79*y**4/36 + 1596*y**2. Factor g(x).
2*x*(x - 79)*(x + 1)/3
Let j(n) be the first derivative of 2*n**3/3 - 27*n**2 + 184*n + 129. Factor j(s).
2*(s - 23)*(s - 4)
Let r(w) be the second derivative of -w**4/60 + 2092*w**3/15 - 2188232*w**2/5 - 1558*w - 1. Find f, given that r(f) = 0.
2092
Factor 2/9*h**2 + 304/9*h - 1570/9.
2*(h - 5)*(h + 157)/9
Let a be 0*64/(-1146 + 58). Factor 15/2*t**3 + a*t + 0 + 1/2*t**4 + 7*t**2.
t**2*(t + 1)*(t + 14)/2
Let u be (-4050)/243*(-48)/(-10). Let x be (4 + 60/(-16))/((-90)/u). Let 0 + 0*s**2 - x*s**3 + 4/9*s**4 + 0*s - 2/9*s**5 = 0. Calculate s.
0, 1
Let k(b) be the first derivative of b**6/90 + 7*b**5/30 + 5*b**4/3 + b**3/3 - 14*b + 17. Let v(d) be the third derivative of k(d). Factor v(r).
4*(r + 2)*(r + 5)
Suppose 357*i = 341*i. Factor 0 + i*p - 2/5*p**3 - 8/5*p**2.
-2*p**2*(p + 4)/5
Let u(h) be the third derivative of -1/12*h**4 + 0 + 0*h - 10/9*h**3 + 61*h**2 + 1/90*h**5. Factor u(k).
2*(k - 5)*(k + 2)/3
Let c be (-28)/126 - 94/(-18). Suppose h - 17 + c = -2*q, -29 = -2*h - 5*q. Suppose -8/7 + 34/7*x - x**3 - 19/7*x**h = 0. Calculate x.
-4, 2/7, 1
Let f(l) = -8*l**3 + 58*l**2 - 62*l - 1363. Let g(v) = -9*v**3 + 57*v**2 - 66*v - 1362. Let y(s) = -6*f(s) + 5*g(s). What is c in y(c) = 0?
-4, 6, 19
Find i such that 25*i**2 + 31*i**2 - 64*i - 458 + 64*i**3 + 4*i**4 + 398 = 0.
-15, -1, 1
Suppose -610*a + 162 = -583*a. Let j(p) be the third derivative of -5*p**2 + 1/60*p**5 + 0*p + 0 + 1/12*p**3 - 1/480*p**a - 5/96*p**4. Factor j(y).
-(y - 2)*(y - 1)**2/4
Let k(l) be the first derivative of 0*l**2 + 2/3*l**3 - 2*l + 14. Solve k(y) = 0 for y.
-1, 1
Let r(j) = j**3 - 24*j**2 - 50*j - 50. Let f be r(26). Let -z - 1383 + z**f + 1371 + 2*z = 0. Calculate z.
-4, 3
Let p(o) be the second derivative of 3/10*o**6 + 5/3*o**4 + 2 + 0*o**3 + 1/42*o**7 + 6/5*o**5 + 0*o**2 + 9*o. Factor p(w).
w**2*(w + 2)**2*(w + 5)
Suppose -4*f + 16 = -44. Suppose -2*h + 122 = 4*p, 3*h = -4*p + 93 + 34. Factor 11*c**2 + f*c**2 + 6*c - p*c**2.
-2*c*(c - 3)
Let o(q) be the third derivative of q**7/945 + q**6/15 + 9*q**5/10 + 136*q**4/27 + 112*q**3/9 + 46*q**2 + 52. Suppose o(s) = 0. Calculate s.
-28, -4, -3, -1
Suppose -89*q + 88 + 179 = 0. Suppose 5*t - 11 - 19 = -2*i, -4*i + 60 = -t. Determine x, given that -29*x**3 - 3*x**2 + 13*x**3 + 4 + i*x**q = 0.
-2, 1
Let 81373 + 44298 - 19*y**2 + 21*y**2 + 1128*y + 33377 = 0. What is y?
-282
Suppose 6/5*p**3 - 2314/5*p + 696/5 + 676/5*p**2 = 0. Calculate p.
-116, 1/3, 3
Let j(h) = -24*h**2 - 186*h - 132. Let l(d) = 37*d**2 + 281*d + 198. Let n(t) = 8*j(t) + 5*l(t). Factor n(w).
-(w + 11)*(7*w + 6)
Let c be 21480/1530 + 84/(-119). Let 0 - c*z**3 - 23/3*z**2 - 7/3*z**4 + 10/3*z = 0. Calculate z.
-5, -1, 0, 2/7
Factor 8*c**3 + 433*c + 77*c**2 - 381*c + 31*c**2.
4*c*(c + 13)*(2*c + 1)
Factor -87/4*o**2 - 17/4*o**3 - 127/4*o - 1/4*o**4 - 14.
-(o + 1)**2*(o + 7)*(o + 8)/4
Let l(h) = -3*h**2 - 24*h + 11. Let q be l(-8). Let 4*k**2 + k - 5*k - 5*k**2 - q*k + 34 = 0. Calculate k.
-17, 2
Solve -17/3 + 2/3*j**5 - 193/6*j**2 + 67/6*j**4 - 29/6*j**3 + 185/6*j = 0.
-17, -2, 1/4, 1
What is t in 1/6*t**4 - 38*t + 19/6*t**2 + 14/3*t**3 - 54 = 0?
-27, -2, 3
Let t + 156*t**5 + 35*t - 578958*t**2 - 957*t**3 + 579042*t**2 + 141*t**4 = 0. Calculate t.
-3, -2/13, 0, 1/4, 2
Factor 1/2*p**3 - 380/3 + 55/6*p**2 - 377*p.
(p - 20)*(p + 38)*(3*p + 1)/6
Let o be 4/4 + -6 + 7. Factor f - 33*f - 32 - 44*f**o + 34*f**2 - f**3.
-(f + 2)*(f + 4)**2
Let m(y) = y**3 + 15 - 4*y**3 + 71*y - 70*y - 39*y**2. Let x be m(-13). Solve 36/5*u + 18/5*u**x + 24/5 + 3/5*u**3 = 0 for u.
-2
Suppose -2*i**3 + 6*i**3 - 1764103*i + 1763961*i - 32 - 55*i**2 = 0. Calculate i.
-2, -1/4, 16
Let h(b) be the first derivative of 4*b**6/15 - 1072*b**5/25 + 18961*b**4/10 - 26054*b**3/3 - 15925*b**2 - 8450*b + 7398. Determine p, given that h(p) = 0.
-1/2, 5, 65
Let b be -5 + (-777)/(-154) + (-14053)/(-5434). What is k in -b*k**2 - 6/19*k**3 + 56/19 - 48/19*k = 0?
-7, -2, 2/3
Let 11134*m - 80*m**2 + 326*m**2 + 1484 - 105*m**2 - 111*m**2 = 0. What is m?
-371, -2/15
Suppose 1355 = 596*k - 2525 + 900. Factor 0 + 984/7*v**2 + 468*v**3 + 462*v**4 + 96/7*v - 147*v**k.
-3*v*(v - 4)*(7*v + 2)**3/7
Let l(k) be the first derivative of 114*k**5/5 - 55*k**4/2 - 118*k**3/3 + 55*k**2 + 4*k - 1314. Let l(n) = 0. Calculate n.
-1, -2/57, 1
Let y(v) be the first derivative of -v**4/12 - 16*v**3/9 + 2*v**2/3 + 64*v/3 - 1816. Determine c, given that y(c) = 0.
-16, -2, 2
Suppose -2907*t + 3785*t = 1707 + 927. Suppose 1/7*l - 4/7*l**2 + 6/7 + 1/7*l**t = 0. What is l?
-1, 2, 3
Let q(i) be the third derivative of -i**8/2240 + i**6/120 - 46*i**3 + 34*i**2 - 2*i. Let z(k) be the first derivative of q(k). Let z(d) = 0. What is d?
-2, 0, 2
Let m = -1503 + 2973. Let a be m/1320 + 3/(-4). Factor -2/11*j**2 + 4/11*j + 0 - a*j**3 + 2/11*j**4.
2*j*(j - 2)*(j - 1)*(j + 1)/11
Let g(l) be the third derivative of -l**6/216 + l**5/36 + 5*l**4/9 + l**3/2 - 37*l**2. Let o(s) be the first derivative of g(s). Let o(h) = 0. Calculate h.
-2, 4
Suppose 10*d + 36 = 446. Let l = 43 - d. Factor 1/2 - 1/2*c**l + 0*c.
-(c - 1)*(c + 1)/2
Let c be 92/8 + -4 - 7/((-84)/(-18)). Let f(s) be the first derivative of -s**3 + c*s - 9 + 3/2*s**2. Factor f(l).
-3*(l - 2)*(l + 1)
Let b(s) be the second derivative of -s**5/4 + 175*s**4/6 + 1520*s**3/3 + 3120*s**2 - 55*s - 11. Factor b(q).
-5*(q - 78)*(q + 4)**2
Let d = -24692 + 24700. Factor d*c**3 + 128/3*c - 32*c**2 - 2/3*c**4 + 0.
-2*c*(c - 4)**3/3
Find g, given that 268/11*g**2 + 2/11*g**4 + 208/11*g + 0 + 62/11*g**3 = 0.
-26, -4, -1, 0
Let m(s) = s**3 - 4*s**2 - 4*s - 3. Let o(i) = 34*i - 199. Let l be o(6). Let v be m(l). Find a such that -2/11*a**v + 0 - 4/11*a = 0.
-2, 0
Factor 83 + 1/4*g**3 + 163/4*g**2 - 124*g.
(g - 2)*(g - 1)*(g + 166)/4
Let p(c) be the second derivative of 25*c**4/4 + 155*c**3/3 + 20*c**2 + c - 58. Let p(g) = 0. Calculate g.
-4, -2/15
Let w(q) = -q + 3. Let g be 48/42 + -1 + (-87)/21. Let f(h) = -h**2 - h - 44. Let r(k) = g*f(k) - 44*w(k). Factor r(t).
4*(t + 1)*(t + 11)
Suppose 2*h = 4, 2*c + 138*h = 135*h + 10. Factor 1/4*l**3 + 2 + 7/4*l**c + 7/2*l.
(l + 1)*(l + 2)*(l + 4)/4
Let v be (-2)/54*((-9)/(-3) - 6). Let q(f) be the second derivative of 4/9*f**3 - 3*f + 0 + v*f**4 + 0*f**2 - 1/15*f**5. Solve q(o) = 0 for o.
-1, 0, 2
Let q(m) = -180*m - 900. Let n be q(-5). Suppose -12*p - 48*p + 120 = n. Suppose 6/5 - 9/5*w + 3/5*w**3 + 0*w**p = 0. Calculate w.
-2, 1
Let h(m) be the second derivative of m**6/30 + 57*m**5/20 - 59*m**4/4 + 179*m**3/6 - 30*m**2 - 1045*m. Determine g, given that h(g) = 0.
-60, 1
Let -22028*s + 43999*s - 21521*s + 449 + s**2 = 0. What is s?
-449, -1
Let a = 13223 - 595031/45. Let f(b) be the first derivative of -a*b**5 + 0*b**4 - 1/27*b**6 + 4/27*b**3 + 1/9*b**2 + 0*b + 4. Determine m so that f(m) = 0.
-1, 0, 1
Let f(h) be the first derivative of h**6/6 + 3*h**5/2 + 19*h**4/4 + 13*h**3/2 + 7*h**2/2 - 2168. Solve f(z) = 0 for z.
-7/2, -2, -1, 0
Let p(n) be the first derivative of 128*n