+ j**6 + 0*j + 31/15*j**5 - 57*j**2 + 0*j**4 + 9/70*j**7 + 0. Solve b(y) = 0 for y.
-2, 0, 31
Let q(c) = 2*c**2 + 2*c - 2. Let u(f) = -9*f**2 - 67*f + 68. Let j(b) = 20*q(b) + 5*u(b). Factor j(p).
-5*(p - 1)*(p + 60)
Suppose -4*i - v + 91 + 138 = 0, 0 = 4*i - 2*v - 214. Suppose i*q = 24 + 88. Find r such that 7/6*r**3 + 3 - 13/6*r**q - 1/6*r**4 - 1/2*r = 0.
-1, 2, 3
Let h = -1/1861 - -42832/53969. Let q = 4855/58 + h. Determine d so that 1/2*d**2 + 13*d + q = 0.
-13
Factor 195 + 20*i**2 + 11*i**2 + 24*i - 64*i**2 + 14*i**2 + 16*i**2.
-3*(i - 13)*(i + 5)
Let c = -124 - -126. Suppose -s + 11*s - 9*s**2 + 4*s**c = 0. What is s?
0, 2
Factor 1/6*d**2 - 10/3*d - 7/2.
(d - 21)*(d + 1)/6
Let q(u) be the third derivative of 23*u**8/56 - 86*u**7/105 - 9*u**6/10 + 44*u**5/15 - 5*u**4/4 - 2*u**3/3 + 2997*u**2. Find g such that q(g) = 0.
-1, -2/23, 1/3, 1
Let c be 1/((-1)/(-2 - 0)). Let n be 68229/99 + 6/(-33). Suppose a**4 - 6 - 681*a**c - 4*a**3 + 4*a - 3*a**4 + n*a**2 = 0. Calculate a.
-3, -1, 1
Let o be ((-6)/(-8))/3 - 33320/(-26656). Let -33/2*c**4 - 30 + 96*c + 129/2*c**3 - 231/2*c**2 + o*c**5 = 0. What is c?
1, 2, 5
Let o be (-34)/170 - 19/5. Let d be o - ((-2)/4)/((-2)/(-28)). Solve -3/2*u**2 + 3/2*u**4 - 1/2*u**d + 1/2*u + 0 = 0 for u.
-1, 0, 1/3, 1
Let b(q) be the second derivative of -q**4/54 + 1978*q**3/27 - 978121*q**2/9 - q + 279. Determine t so that b(t) = 0.
989
Let v(h) be the first derivative of 5/13*h**2 + 99 + 8/13*h + 2/39*h**3. Determine q so that v(q) = 0.
-4, -1
Let z be 3 + -11 - (3 - 11). Suppose x - 162*v + 164*v - 4 = z, -10 = -3*x - 4*v. What is q in -3/2*q**x + 0 + 9/2*q = 0?
0, 3
Let t(f) be the third derivative of 2 + 2/45*f**5 - 5/9*f**3 - 19/36*f**4 + 3*f**2 + 0*f. Factor t(k).
2*(k - 5)*(4*k + 1)/3
Let -689*x**2 + 1347*x**2 + 180*x - 3*x**3 - 694*x**2 - 192 = 0. What is x?
-16, 2
Let v(n) = 19*n**2 - 47*n - 1537. Let c(y) = 54*y**2 - 142*y - 4606. Let j(g) = -5*c(g) + 14*v(g). Factor j(z).
-4*(z - 27)*(z + 14)
Determine p so that 570*p**3 - 46598*p + 46406*p - 14 - 26 - 2*p**2 = 0.
-2/5, -5/19, 2/3
Let c = -279745 - -279747. Factor -3375/2 + 675/2*q + 1/2*q**3 - 45/2*q**c.
(q - 15)**3/2
Let g = 3377 + -3368. Suppose 6 = 3*q - v - 3, 3*q = 3*v + 9. Factor 4*b**3 + 11*b**q + 9 - g - 5*b**2 - 10*b.
5*b*(b - 1)*(3*b + 2)
Suppose 35*l = 51*l - 429 - 435. Let w(g) be the second derivative of 0 + 45/2*g**4 + l*g**3 + 21/5*g**5 + 81/2*g**2 - 10*g + 3/10*g**6. What is f in w(f) = 0?
-3, -1/3
Let d(p) = -p**3 - 23*p**2 - 58*p + 42. Let n be d(-20). What is m in -66*m**2 - 60*m**2 + 3 - 6*m - 3 + 125*m**n + m**3 = 0?
-2, 0, 3
Let 12*h**3 + 62*h**2 - h**4 - 25*h**2 - 19*h**2 - 29*h**2 + 0*h**4 = 0. Calculate h.
0, 1, 11
Suppose 0 = -2*b - 6, -5*g + 41 + 4 = 5*b. What is d in -13*d + 5*d - 18*d**3 + 14*d**3 + 4 - 4*d**4 + g*d**3 = 0?
-1, 1
Let c(n) be the second derivative of -n**4/54 - 20*n**3/9 + 61*n**2/9 - 4*n + 386. Suppose c(h) = 0. Calculate h.
-61, 1
Let p(h) = -15*h**3 + 321*h**2 - 399*h. Let g(c) be the second derivative of -c**5/20 + 5*c**4/3 - 25*c**3/6 + 6*c. Let u(t) = -33*g(t) + 2*p(t). Factor u(w).
3*w*(w - 3)**2
Let k(s) = -8*s**2 - 15*s - 12. Let n(f) = -f**2. Let y be ((9 + 2)*1)/(-1). Let j = y - -12. Let c(o) = j*k(o) - 5*n(o). Let c(h) = 0. Calculate h.
-4, -1
Let g(q) be the first derivative of 2*q**5/35 + q**4/4 - 2*q**3/3 + 5*q**2/14 + 503. Factor g(d).
d*(d - 1)*(d + 5)*(2*d - 1)/7
Let q = 20/2773 + 60946/8319. Solve 44/3 + q*c**2 + 82*c = 0 for c.
-11, -2/11
Let v(p) be the second derivative of p**6/180 + p**5/20 + p**4/6 + 11*p**3/2 + 3*p - 2. Let s(k) be the second derivative of v(k). Factor s(y).
2*(y + 1)*(y + 2)
Suppose 2*w + 5*f = 3 + 1, 0 = -4*f. Factor 706*k**4 - 708*k**4 + k**3 + 28 - k**5 + w*k**2 - 28.
-k**2*(k - 1)*(k + 1)*(k + 2)
Let o(i) be the second derivative of -i**6/360 + i**5/90 + i**4/24 - i**2 + 87*i. Let f(c) be the first derivative of o(c). Determine q so that f(q) = 0.
-1, 0, 3
Determine l, given that 0*l**2 + 1/3*l**4 + 35/3*l**3 + 0 + 0*l = 0.
-35, 0
Let f(h) = 14*h**2 + 244*h - 6352. Let z(g) = -4*g**2 - 67*g + 1815. Let w(i) = 9*f(i) + 32*z(i). Factor w(t).
-2*(t - 38)*(t + 12)
Let g(m) = -2*m**4 + 8*m. Let q(w) = -5*w**4 - 6*w**3 + 11*w**2 + 18*w. Let s(v) = 3*g(v) - q(v). Let s(r) = 0. Calculate r.
0, 1, 2, 3
Let l = -13179/4 - -3295. Let k(s) be the second derivative of 0 + 0*s**2 + 3*s - 3/10*s**5 + s**3 - l*s**4 + 1/10*s**6. Let k(c) = 0. Calculate c.
-1, 0, 1, 2
Let a(l) = -17*l**2 + 394*l - 3617. Let u(s) = 8*s**2 - 196*s + 1808. Suppose 21*g - 18 = 15*g. Let c(m) = g*a(m) + 7*u(m). Factor c(j).
5*(j - 19)**2
Let d be (-1)/3*(-1554)/1036. Factor -1/6*c**3 + d*c**2 + 0 - 1/3*c.
-c*(c - 2)*(c - 1)/6
Let v = -13376 - -13381. Let r(u) be the first derivative of -1/8*u**4 + 1/12*u**6 + 1/6*u**3 + 2 - 1/10*u**v + 0*u + 0*u**2. Suppose r(q) = 0. Calculate q.
-1, 0, 1
Let a(c) = 3*c**2 - 872*c + 61392. Let r be a(171). Solve 15/7*h + 15*h**r - 9/7 + 129/7*h**2 = 0.
-1, -3/7, 1/5
Let h = -2 - 16. Let u be (54/21)/3*(3 - h). Factor 24*k**2 + 12*k - 21*k**3 + 2*k**4 - u*k**4 + k**4.
-3*k*(k - 1)*(k + 2)*(5*k + 2)
Let n = 604 - 590. Let l be (n/56 - 0)*8/3. Factor 8/3 - 8/3*f + l*f**2.
2*(f - 2)**2/3
Let j be (-1)/3 + 56/42. Suppose 0 = -92*f - j + 1. Factor -1/5*s**2 + f*s + 1/5.
-(s - 1)*(s + 1)/5
Suppose -4*n - 5*t = 3, -115*n - 8*t = -112*n + 15. Factor 0 - 3/2*k**2 + 3/4*k + 3/4*k**n.
3*k*(k - 1)**2/4
Let i be (264/(-156))/((-8)/208*12). Find a, given that -64/3*a**4 + 43/3*a - i*a**5 - 32/3*a**3 - 10/3 + 74/3*a**2 = 0.
-5, -1, 2/11, 1
What is v in -160*v**5 + 60*v**2 - 40*v + 650*v**3 + 265*v**2 + 808*v**4 - 20 - 888*v**4 = 0?
-2, -1/2, -1/4, 1/4, 2
Let l(u) = -20 + 11 - 15*u**2 - 26*u + 15 + 50 + 5*u**3 - 20. Let z(y) = 66*y**3 - 195*y**2 - 339*y + 468. Let x(n) = 27*l(n) - 2*z(n). Factor x(p).
3*(p - 6)*(p - 1)*(p + 2)
Let a(y) = -y**2 + 6*y + 2. Let j(h) = -2*h**5 - 60*h**4 + 520*h**3 + 65*h**2 - 548*h - 10. Let o(q) = 5*a(q) + j(q). Solve o(p) = 0.
-37, -1, 0, 1, 7
Let 470*g**4 - 1105920*g - 3317760 - 190*g**5 + 234009*g**2 - 16320*g**3 + 7911*g**2 + 398*g**5 - 213*g**5 = 0. Calculate g.
-2, 24
Factor 1/7*c**2 + 30492 - 132*c.
(c - 462)**2/7
Let b be (-496)/(-7680)*40 - 10/12. Factor -1/4*r**2 - b*r + 2.
-(r - 1)*(r + 8)/4
Let w = 1054190 - 5270944/5. Let n be (6/8)/(15/8). Factor 6/5*k + n + 2/5*k**3 + w*k**2.
2*(k + 1)**3/5
Let n(a) = 23*a**2 - 25*a - 147. Let c be n(-12). Let s be 8943/c - 4/(-30) - 1. Solve -32/7*z + s*z**2 - 4/7*z**4 + 16/7 + 8/7*z**3 = 0 for z.
-2, 1, 2
Suppose -3*p = -a - 1, 0*a - 20 = -4*a. Suppose -4*x = p*u + 2*u, -2*x + 4*u + 12 = 0. Factor 8*h**3 - h + 7*h**3 - 2*h**2 - 14*h**3 + h**4 + h**x.
h*(h - 1)*(h + 1)**2
Suppose 0 = 5*m + 2*r - 6, -4*m + 3*r + 0 = 9. Let l be (m + (-2 - 10/(-8)))/(-3). Solve -l*i**2 + 1 + 3/4*i = 0.
-1, 4
Let q(r) be the second derivative of 1/3*r**3 + 0 - 3/8*r**5 + 5/3*r**4 - 12*r**2 + 84*r + 1/84*r**7 - 1/30*r**6. Let q(o) = 0. Calculate o.
-4, -1, 2, 3
Suppose -4*v + 5809*z = 5808*z, -5*v + 6*z = 38. Factor -20/3*t**3 - 5/3*t + 0 + 25/3*t**v.
-5*t*(t - 1)*(4*t - 1)/3
Let y(h) = -10*h**3 - 10*h**2 + 35*h - 93. Let i(b) = -27*b**3 - 26*b**2 + 104*b - 280. Let l(g) = 3*i(g) - 8*y(g). Find r such that l(r) = 0.
-6, 4
Let p = -320 + 356. Determine l, given that -385*l + 147*l**4 - 19*l**2 + 475*l**3 + 29*l**3 + p + 181*l + 136*l**2 = 0.
-3, -1, 2/7
Let z(b) be the third derivative of -9/20*b**5 + 3/70*b**7 + b**3 - 100 + 0*b + 2*b**2 - 3/8*b**4 - 1/40*b**6. Determine u, given that z(u) = 0.
-1, 1/3, 2
Factor -7396*j**2 + 636056/3*j - 6837602/3 - 2/3*j**4 + 344/3*j**3.
-2*(j - 43)**4/3
Find t, given that 582*t**2 - 696 - 1173*t + 1284 - 23*t**3 + 26*t**3 = 0.
-196, 1
Let o be (24/(-576))/(4 - (-178)/(-40)). Let t(j) be the second derivative of -1/3*j**2 + 0 - o*j**4 - 17*j + 7/27*j**3 + 1/90*j**5. Let t(z) = 0. What is z?
1, 3
Let q = 2652 + -2638. Let l(a) be the second derivative of -1/42*a**3 + q*a + 1/84*a**4 + 0 + 0*a**2. Let l(f) = 0. What is f?
0, 1
Suppose 11*o + 186 = 5*o. Let h = o + 159/5. Find j, given that -2/5*j**2 - 6/5*j - h = 0.
-2, -1
Let c be (6/21)/2 + 600/210. Factor 1/2*s**4 - 4*s - 2 - 3/2*s**2 + s**c.
(s - 2)*(s + 1)**2*(s + 2)/2
Let a be 2/1 - (-30)/(-15). Suppose a = 12*i - 343 - 569. Factor 