*2 = 0?
-236, 1
Suppose 30*y - 297 = -3*y. Factor -y*g + 16*g - 2*g**2 - 3*g**3 + 14*g**2 + 26*g + 0*g**3 + 18.
-3*(g - 6)*(g + 1)**2
Let w = 25017 - 25014. Let u(o) be the second derivative of -3/13*o**2 + 1/26*o**4 + 0 - 28*o + 1/130*o**5 - 1/39*o**w. Let u(b) = 0. Calculate b.
-3, -1, 1
Let t(m) = m**5 - 3*m**4 - m**3 + 3*m**2 - 1. Let n = 0 - -1. Let i(j) = -12 + 46 - 14 - 9 - 12. Let w(x) = n*t(x) - i(x). Determine g, given that w(g) = 0.
-1, 0, 1, 3
Let v be 32/144 - (2000/(-225))/5. Let k be (-2)/(-7) - 12/(-105). Factor k*g**v - 28/5*g + 98/5.
2*(g - 7)**2/5
Suppose 4*f + 252 = 18*f. What is q in -4*q**3 - 4*q**4 - 6*q + f - 2 + 0*q**4 - 38*q + 36*q**2 = 0?
-4, 1
Let o(k) be the first derivative of -41/14*k**2 + 62 - 3*k**3 - 6/7*k. Factor o(a).
-(7*a + 3)*(9*a + 2)/7
Let z(p) = -p**3 - 2*p**2 - 11*p + 31. Let q be z(9). Let t = 964 + q. Find b, given that 0 - 1/2*b**t + 0*b - 3/2*b**4 + 3/2*b**2 + 1/2*b**3 = 0.
-3, -1, 0, 1
Let w(o) = 18*o**3 + 37*o**2 - 95*o + 29. Let q(u) = -2*u**3 + u**2 + u + 1. Let v(b) = -11*q(b) - w(b). Determine r, given that v(r) = 0.
1, 10
Let z(j) = 3*j**2 + j - 19. Let o(q) be the third derivative of q**4/24 + q**3/3 + 3*q**2 + 7. Let u(r) = -5*o(r) - z(r). Factor u(l).
-3*(l - 1)*(l + 3)
Let h(c) be the first derivative of -1/2*c**6 - 13 - 3/2*c**2 + 0*c - 16/3*c**3 - 13/2*c**4 - 16/5*c**5. Solve h(x) = 0.
-3, -1, -1/3, 0
Suppose -2 - 3 + 0 + 0*q**3 + 9*q - 3*q**2 - 3*q**3 + 2*q**3 = 0. Calculate q.
-5, 1
Suppose 298 = 3*u - 5*f, 14*u - 15*u + 2*f + 100 = 0. Let j be (-6)/12*u/(-9). Factor -j - 1/3*w**2 - 8/3*w.
-(w + 4)**2/3
Let o = -209047 + 32402081/155. Let r = 15/31 - o. Factor 2/5 - 11/5*g**2 + r*g.
-(g - 1)*(11*g + 2)/5
Let d(r) = -470*r - 77052. Let k be d(-164). Factor -2/5*h**2 - 490 - k*h.
-2*(h + 35)**2/5
Let d(m) be the first derivative of -m**4/4 - 8*m**3/3 + 37*m**2/2 + 44*m + 2009. Solve d(i) = 0 for i.
-11, -1, 4
Factor -10*i - 44*i - 85*i**2 - 15*i + 88*i**2 - 522.
3*(i - 29)*(i + 6)
Let i be (-8)/(-88) - ((-90)/40 + 118/88). Let a be (-3)/(-2) + -2 - -1. What is z in 1/2*z + i - a*z**2 = 0?
-1, 2
Let g(r) be the first derivative of -r**5/30 + 10*r**4/3 - 400*r**3/3 + 25*r**2/2 + 40. Let q(y) be the second derivative of g(y). Factor q(n).
-2*(n - 20)**2
Let y(x) = 6*x**4 - 27*x**3 + 31*x**2 - 20*x + 7. Let t(g) = -g**4 + 7*g**3 - g**2 - 2. Let k(q) = t(q) + y(q). Find o such that k(o) = 0.
1
Let b be (-292)/(-8) + 8/(-16). Solve 4*n**4 + 3*n**3 - 12*n**3 + 5*n**3 - b*n**2 + 36*n = 0 for n.
-3, 0, 1, 3
Let u(w) be the first derivative of -344*w**3/33 + 5*w**2 - 6*w/11 - 581. Suppose u(d) = 0. Calculate d.
3/43, 1/4
Let h(o) = -5*o**3 + 73*o**2 - 421*o - 491. Let c(d) = -12*d**3 + 144*d**2 - 843*d - 979. Let z(f) = -2*c(f) + 5*h(f). Solve z(k) = 0 for k.
-1, 7, 71
Let f = -385 + 392. Let l be f/1 - (-494)/(-78). Factor 2/9*a + 2/3*a**3 + 0 - 2/9*a**4 - l*a**2.
-2*a*(a - 1)**3/9
Suppose 4*a - 2883 = d, -2151 = -3*a - d + 4*d. Let y = -722 + a. Factor 1/6*k**2 - 2/3 + y*k.
(k - 2)*(k + 2)/6
Let n(f) = 28*f**3 - 40*f**2 + 16*f - 4. Let l(t) = t**4 + t**3 + t**2 - 4*t + 1. Let y(j) = -4*l(j) - n(j). Factor y(c).
-4*c**2*(c - 1)*(c + 9)
Let c(t) be the second derivative of -t**5/160 - 5*t**4/48 - 1655*t. Factor c(q).
-q**2*(q + 10)/8
Let d(p) be the third derivative of -89*p**2 + p**3 - 1/6*p**4 - 1/30*p**5 + 0 + 0*p. Factor d(q).
-2*(q - 1)*(q + 3)
Let d(u) be the third derivative of -u**8/112 + 3*u**7/7 + 131*u**6/40 + 42*u**5/5 + 17*u**4/2 - 3543*u**2. Solve d(h) = 0.
-2, -1, 0, 34
Let p(c) be the third derivative of -c**5/360 - 395*c**4/144 - 197*c**3/18 + 101*c**2 - 9*c. Let p(t) = 0. What is t?
-394, -1
Let q(h) be the third derivative of -h**7/42 - 31*h**6/24 - 55*h**5/2 - 1625*h**4/6 - 2500*h**3/3 + 1068*h**2. What is a in q(a) = 0?
-10, -1
Let l(p) = 7*p**2 - 167*p - 174. Let u(v) = -76*v**2 + 1836*v + 1912. Let b(s) = 32*l(s) + 3*u(s). Find z such that b(z) = 0.
-1, 42
Let j(s) be the third derivative of 1/6*s**4 - 1 + 16/3*s**3 + 4*s**2 - 1/120*s**6 - 2/15*s**5 + 0*s. Determine f, given that j(f) = 0.
-8, -2, 2
Suppose 356/7 - 352/7*r - 4/7*r**2 = 0. What is r?
-89, 1
Let u(i) be the first derivative of 3*i**5/35 - 27*i**4/14 + 33*i**3/7 - 24*i**2/7 - 991. Suppose u(r) = 0. Calculate r.
0, 1, 16
Let f = -151 + 303/2. Let h = -99 + 101. Let 0 + 0*y**h + f*y**3 - 1/2*y = 0. Calculate y.
-1, 0, 1
Let c(v) be the first derivative of v**4 + 64*v**3 + 94*v**2 + 51. Factor c(j).
4*j*(j + 1)*(j + 47)
Find l, given that -30 + 1/5*l**3 - 25*l + 26/5*l**2 = 0.
-30, -1, 5
Let z(p) = p**3 + 35*p**2 + 31*p - 88. Let u be z(-34). Suppose -16*c + 18 = -u. Factor 0*o**4 - 1/9*o - 1/9*o**5 + 0*o**c + 2/9*o**3 + 0.
-o*(o - 1)**2*(o + 1)**2/9
Let h(s) be the third derivative of -s**8/168 - 2*s**7/63 - 7*s**6/180 + 2*s**5/45 + s**4/9 + 546*s**2 - 3. Suppose h(f) = 0. What is f?
-2, -1, 0, 2/3
Let v(f) = -2*f**2 - f - 1. Let r = 588 + -582. Let j(i) = -14*i**2 + 116*i - 126. Let u(n) = r*v(n) - j(n). Factor u(z).
2*(z - 60)*(z - 1)
Factor 2*v**3 + 10415*v**2 + 5*v**4 + 2715*v**3 + 6542*v**3 + 1161*v**3.
5*v**2*(v + 1)*(v + 2083)
Let t be 59840/78540*(-159)/(-4). Factor -4/7*q**3 + t*q**2 - 412/7*q + 204/7.
-4*(q - 51)*(q - 1)**2/7
Let w(r) be the first derivative of -4 + 6/7*r + 5/21*r**3 + 17/14*r**2. Suppose w(v) = 0. What is v?
-3, -2/5
Let o(r) be the first derivative of -r**6/3 + 96*r**5/5 + 3*r**4/2 - 292*r**3/3 + 96*r**2 - 6163. What is w in o(w) = 0?
-2, 0, 1, 48
Let o be 1*(-4 - (0 - 231)). Factor 28 + 195*a + 4*a**2 - o*a + 0*a**2.
4*(a - 7)*(a - 1)
Factor 540 - 1000*g + 0*g**3 + 137*g**2 - 61*g**2 + 4*g**3 + 88*g**2 + 292*g.
4*(g - 3)*(g - 1)*(g + 45)
Let z(q) be the first derivative of -q**8/840 + q**7/140 + q**6/20 + q**5/12 + 10*q**3 + q**2 + 17. Let m(w) be the third derivative of z(w). Factor m(t).
-2*t*(t - 5)*(t + 1)**2
Suppose 11*x - 18*x - 1372 = 0. Let h = x + 309. Factor 4*i**4 + 128*i - 2*i**2 - 137*i**3 + 2*i**2 + h*i**3.
4*i*(i - 4)**2*(i + 2)
Suppose -4*n = 3*i - 596, i + 3*n = 150 + 57. Suppose -32*o = 16*o - i. Find a, given that -1/4*a**3 - a**2 + 1/4*a**o + 0 + a = 0.
-2, 0, 1, 2
Suppose 0 = 27*c - 10*c - 3060. Factor -c + 4*q**3 + q**2 + 6*q**2 + 44*q**2 + q**3 + 120*q + 4*q**2.
5*(q - 1)*(q + 6)**2
Let l(g) = 2*g**2 + 47*g - 23. Let o be l(-24). Let r be (o*(-3)/15)/((-6)/10). Suppose -1/3*z**3 + r*z**4 + 0 + 0*z + 0*z**2 = 0. What is z?
0, 1
Let o(i) = -i**2 - 1083*i - 1102. Let g(h) = -h**2 - 1083*h - 1106. Let s(t) = -5*g(t) + 6*o(t). Factor s(n).
-(n + 1)*(n + 1082)
Let p = -938 + 937. Let g be 2*p/6*(-74)/37. Factor -2/3*i**2 + 4/3*i - g.
-2*(i - 1)**2/3
Let c(q) be the third derivative of q**9/12096 - q**8/2240 - q**7/3360 + q**6/480 + q**3 - 40*q**2 - 2. Let o(w) be the first derivative of c(w). Factor o(k).
k**2*(k - 3)*(k - 1)*(k + 1)/4
Suppose 110 = -35*q + 57*q. Let x(p) be the first derivative of 0*p**3 + 0*p - 7/5*p**q - 1/2*p**4 - 5/6*p**6 - 4 + 0*p**2. Factor x(m).
-m**3*(m + 1)*(5*m + 2)
Let y(b) be the first derivative of 0*b - 8/27*b**3 - 60 + b**2. Factor y(u).
-2*u*(4*u - 9)/9
Let c = -24779 + 24784. Let k(n) be the first derivative of 0*n - 15/4*n**4 - n**5 - 12 - 5/2*n**2 - c*n**3. Factor k(y).
-5*y*(y + 1)**3
Suppose 2*g + 3*o + 3 = 0, 24 = 4*g + o - 5*o. Factor 22102*q + 102*q**3 + 234*q**3 - 14112*q**2 - 1843968 + 131607*q - g*q**4 - 64591*q + 174306*q.
-3*(q - 28)**4
Factor 131 + j**3 - 4*j + 3*j**3 + 984 - 257*j**2 + 53 - 911*j**2.
4*(j - 292)*(j - 1)*(j + 1)
Suppose -132 - 116 - 24 = -17*t. Let o(r) be the first derivative of r**4 + 0*r + 4*r**3 - 12/5*r**5 - 4*r**2 + 2/3*r**6 - t. Find q such that o(q) = 0.
-1, 0, 1, 2
Let j(m) be the third derivative of -m**7/840 + m**6/20 - 33*m**5/40 + 77*m**4/12 - 147*m**3/8 + 7604*m**2. Factor j(d).
-(d - 9)*(d - 7)**2*(d - 1)/4
Let b(n) be the second derivative of 5*n**4/12 - 7450*n**3/3 + 5550250*n**2 - 28*n + 5. Determine a, given that b(a) = 0.
1490
Let p(x) be the third derivative of -2*x**5/75 + 17*x**4/20 + 118*x**3/15 - 3696*x**2. Find j such that p(j) = 0.
-2, 59/4
Let h(i) = i**3 + 96*i**2 + 50*i. Let c(d) = 8*d**2 + 4*d. Let p(x) = 25*c(x) - 2*h(x). Factor p(s).
-2*s**2*(s - 4)
Solve -59*p**3 + 39/2*p**4 - 2*p**5 - 15/2 - 11*p + 60*p**2 = 0 for p.
-1/4, 1, 3, 5
Suppose -2*l = -3*l + 9. Suppo