92*x**3 - 4*x**y - 11*x**4 - 175*x**2 + 20*x**4 = 0.
-1, 0, 35
Let -1/8*s**5 - 131/8*s**2 + 27/8*s**3 + 87/4*s + 3/8*s**4 - 9 = 0. What is s?
-6, 1, 3, 4
Find i, given that -12*i**4 - 163*i**2 + 174*i - 68 + 1/2*i**5 + 137/2*i**3 = 0.
1, 2, 17
Let x(q) = -24*q**3 + 190*q**2 + 316*q - 290. Let u(j) = 21*j**3 - 194*j**2 - 314*j + 291. Let b(l) = -6*u(l) - 5*x(l). Factor b(h).
-2*(h - 37)*(h + 2)*(3*h - 2)
Let z(p) be the third derivative of 2*p**7/945 + 17*p**6/270 + 31*p**5/45 + 175*p**4/54 + 196*p**3/27 - 486*p**2 - 1. Find c, given that z(c) = 0.
-7, -2, -1
Let g(s) be the third derivative of 11/40*s**5 + 2*s + 0 + 0*s**3 - 9/80*s**6 - s**2 - 1/8*s**4. Factor g(d).
-3*d*(d - 1)*(9*d - 2)/2
Let t(a) be the first derivative of a**3 - 27*a**2/2 + 42*a - 2004. Find r, given that t(r) = 0.
2, 7
Let d(a) be the first derivative of -15*a**5 + 7740*a**4 - 1069144*a**3 + 1275552*a**2 - 509232*a - 1061. Factor d(w).
-3*(w - 206)**2*(5*w - 2)**2
Suppose -13*r - 28*r = 74*r + r. Let w(d) be the second derivative of 0*d**3 - 8*d + 0 - 1/4*d**4 - 3/20*d**5 + r*d**2. Solve w(y) = 0 for y.
-1, 0
Suppose -11270*y = -11276*y + 2*d + 50, 5*y - 4*d - 86 = 0. Factor 12*j - 4*j**3 + 0 + 104/3*j**y.
-4*j*(j - 9)*(3*j + 1)/3
Let h = 476/1189 + -2/5945. Let t(g) be the first derivative of -11/26*g**4 + 22 - h*g**5 - 4/39*g**3 + 0*g - 4/39*g**6 + 0*g**2. Suppose t(b) = 0. What is b?
-2, -1, -1/4, 0
Let r(s) = -96*s - 1918. Let c be r(-20). Let h(z) be the second derivative of 64/9*z**c + 22*z + 0 + 16/27*z**3 + 1/54*z**4. Factor h(j).
2*(j + 8)**2/9
Solve 1236*w + 436*w**2 - 10*w**3 - 1048*w**2 + 22*w**3 - 15*w**3 = 0.
-206, 0, 2
Let l(t) = -3 - 7 + t**2 - 9 + 14*t + 0. Let y be l(-16). Let y*o**3 + 6*o**3 + 2*o - 7*o**2 + 1 - 15*o**3 = 0. What is o?
-1/4, 1
Let x(a) = -9*a**2 + 1700*a - 168100. Let j(l) = 28*l**2 - 5112*l + 504300. Let p(d) = 5*j(d) + 16*x(d). Factor p(u).
-4*(u - 205)**2
What is j in 5920*j + 37*j**3 - 1/2*j**4 - 1689/2*j**2 - 12800 = 0?
5, 32
Let w(v) = v**2 - 7*v + 30. Let n be w(5). Let g be n/2*((-22)/(-25))/11. Let -2/5*a**4 - 2/5*a + 2/5*a**3 - g + 6/5*a**2 = 0. What is a?
-1, 1, 2
Suppose -140*x**4 + 690540*x**5 + 129*x**2 + 331*x**3 + 479*x**2 - 690544*x**5 + 141*x**3 = 0. Calculate x.
-38, -1, 0, 4
Let d(u) be the first derivative of -2*u**5/5 - 7*u**4 - 118*u**3/3 - 70*u**2 + 5020. Factor d(j).
-2*j*(j + 2)*(j + 5)*(j + 7)
Let r = -143 + 146. Factor 48 + 56 + 156*i - r*i**4 + 110 - 3*i**3 + 54*i**2 - 94.
-3*(i - 5)*(i + 2)**3
Let v(d) be the third derivative of 4/525*d**7 - 11/150*d**5 - 135*d**2 + 0*d - 1/1680*d**8 + 1/6*d**4 + 4/5*d**3 + 0 - 3/200*d**6. Solve v(u) = 0 for u.
-1, 2, 6
Let k(j) be the first derivative of -11*j**6/600 + 17*j**5/150 - j**4/30 + 2*j**3/3 - j**2 + 68. Let u(p) be the third derivative of k(p). Factor u(a).
-(a - 2)*(33*a - 2)/5
Factor 19 - 1/5*y**2 - 14/5*y.
-(y - 5)*(y + 19)/5
Let j = 295 + -291. Suppose 0 = g + 1 - 3. Factor 4*n**g - 30*n**3 - j*n**2 + 31*n**3 - 3*n**2.
n**2*(n - 3)
Let g = 192677/3 - 64217. Determine n, given that g*n - 2/3*n**2 + 0 = 0.
0, 13
Solve -1/2*x**2 - 1/4*x**3 + 2 + x = 0.
-2, 2
Let f = 69/5447 + 10549/27235. Factor 44/5*k**2 - 48/5*k**3 + 18/5*k**4 + f - 16/5*k.
2*(k - 1)**2*(3*k - 1)**2/5
Let h be -10 + -3 + 17 + 0. Let y(o) be the first derivative of 0*o - 8 + 0*o**2 - 1/35*o**5 - 1/28*o**h + 0*o**3. Factor y(p).
-p**3*(p + 1)/7
Let s = -1176 + 1186. Let w(h) be the first derivative of 4/35*h**5 - 1/7*h - 1/21*h**3 - 4/21*h**6 - 2/7*h**2 + s + 5/14*h**4. Let w(b) = 0. What is b?
-1/2, 1
Let z = -59087 + 59089. Factor 1/4*d**3 + 5/4*d**z + 0 + 0*d.
d**2*(d + 5)/4
Let j(g) be the first derivative of -g**6/39 - 30*g**5/13 + 159*g**4/26 + 758*g**3/39 - 462*g**2/13 + 3723. Solve j(h) = 0.
-77, -2, 0, 1, 3
Suppose -x + q - 5504 = -5503, 3*x - q - 3 = 0. Factor -7/10*c**3 + 3/2*c**x - 9/10*c + 0 + 1/10*c**4.
c*(c - 3)**2*(c - 1)/10
Let b(c) be the third derivative of c**6/360 + 17*c**5/180 + 13*c**4/18 + 2*c**2 + 875. Factor b(l).
l*(l + 4)*(l + 13)/3
Let u(z) be the first derivative of -5*z**4/8 - 6335*z**3/6 + 12685*z**2/4 - 6345*z/2 - 4275. Find s such that u(s) = 0.
-1269, 1
Let y be ((-270)/(-232))/9 - (-3)/(-24). Let a = 117/232 - y. Solve -o**2 + 3/2*o**4 - 1/2 - 3/2*o + a*o**5 + o**3 = 0 for o.
-1, 1
Let u(w) be the first derivative of -3*w**5/5 - 81*w**4 - 2915*w**3 + 162*w**2 + 8748*w + 4039. Solve u(a) = 0 for a.
-54, -1, 1
Factor 56*b + 4/3*b**2 + 1364/3.
4*(b + 11)*(b + 31)/3
Let a(k) = -k**3 - k**2 + 4*k - 16. Let d be a(-5). Determine g, given that -217*g + 20*g**4 - d - 100*g**2 + 57*g - 21*g**3 - 4*g**5 - 42*g**3 + 83*g**3 = 0.
-1, 4
Suppose 745 = 3*f - o, 2*f + 176 - 650 = -5*o. Let p(w) = -w**3 + 95*w**2 + 195*w - 93. Let u be p(97). Factor 4*z**4 - 246*z - u*z**2 + 4*z**3 + 489*z - f*z.
4*z*(z - 1)*(z + 1)**2
Suppose -43 = -4*u + 13. Suppose u*b + 66 = 36*b. Solve 0 - 4/9*j**2 + 0*j - 2/9*j**b = 0 for j.
-2, 0
Let h(v) be the second derivative of v**4/66 - 17*v**3/33 - 10*v**2 - 145*v. Factor h(z).
2*(z - 22)*(z + 5)/11
Let s(u) = -44*u + 17 + 19*u**2 - 2145*u**3 + 12*u**2 - 97 + 2144*u**3. Let j(d) = d**3 - d**2 - d. Let l = 14 - 10. Let b(v) = l*j(v) - s(v). Factor b(i).
5*(i - 4)**2*(i + 1)
Suppose 5*f = 12 + 3. Solve -78*y + f*y**4 + 15*y**3 + 15*y**3 - 11*y**3 - 3*y**2 + 59*y**3 = 0.
-26, -1, 0, 1
Let c(u) = 39*u - 89*u + 42*u - 118. Let v be c(-15). Solve 0*i**v + 3/7*i**4 + 0 + 0*i + 6/7*i**3 - 3/7*i**5 = 0.
-1, 0, 2
Let p = -34391 - -137567/4. Find r, given that -1/4*r**2 - 5/4*r - p + 1/4*r**3 = 0.
-1, 3
Let q(h) be the third derivative of h**6/1140 - 89*h**5/570 + 65*h**4/57 - 172*h**3/57 + 14*h**2 - 29*h + 2. Factor q(z).
2*(z - 86)*(z - 2)*(z - 1)/19
Suppose 3/4*k**2 + 2667747/4 + 2829/2*k = 0. Calculate k.
-943
Let -31/4*g**2 - 1/4*g**3 + 11*g + 96 = 0. What is g?
-32, -3, 4
Determine m, given that 0*m**3 - m**3 + 37623 - 37269 - 301*m + 0*m**3 + 64*m**2 = 0.
2, 3, 59
Let s(m) be the third derivative of -m**5/300 + 79*m**4/24 + 66*m**3/5 - 3*m**2 - 27. Factor s(x).
-(x - 396)*(x + 1)/5
Suppose -4*m - 3*i + 0*i + 437 = 0, 3*m - 4*i = 309. Suppose -2*n - 15 = -5*n, 2*f + 2 = 2*n. Factor 4*t**f - m*t**5 + 55*t**5 + 50*t**5.
-2*t**4*(t - 2)
Let y be (432/448 - (-144)/(-126))*(-16 + 0 + -4). Factor -4 - 3/7*v**2 - y*v.
-(v + 7)*(3*v + 4)/7
Let w(q) = 7*q**2 + 181*q + 1230. Let j(s) = -45*s**2 - 1085*s - 7379. Let r(x) = 2*j(x) + 13*w(x). Factor r(t).
(t + 7)*(t + 176)
Suppose 14*c + 153 = 195. Factor 7*t**3 - 2*t**4 + 48*t + 21*t**c - 48*t - 26*t**2.
-2*t**2*(t - 13)*(t - 1)
Determine k, given that -676/11*k + 57122/11 + 2/11*k**2 = 0.
169
Suppose 6*z = 4*z - 8*z + 2*z. Let t(i) be the first derivative of -1/6*i**6 + 0*i**2 + 0*i - 45 + 1/5*i**5 + z*i**3 + 1/2*i**4. Factor t(m).
-m**3*(m - 2)*(m + 1)
Let a(l) be the second derivative of l**4/84 - 479*l**3/21 - 137*l**2/2 - 248*l - 5. Factor a(b).
(b - 959)*(b + 1)/7
Let n(f) = -2*f**2 + 62*f + 5. Let m be n(31). Factor -m*r**2 - 308 - 603 - 274*r - 1089 + 74*r.
-5*(r + 20)**2
Let x(f) be the second derivative of f**5/20 - 129*f**4/4 + 577*f**3/3 - 384*f**2 - 2072*f. Factor x(g).
(g - 384)*(g - 2)*(g - 1)
Let j be 224/(-10)*((-1820)/(-8))/(-13). Suppose 34*t**3 - j + 448*t - 58*t**2 + 44*t**3 - 76*t**3 = 0. Calculate t.
1, 14
Let j(x) = -x**3 - x**2 - 2*x - 2. Let z be j(-1). Suppose z = -5*a + s + 19, 3*s + 2 + 1 = -3*a. Factor -d**a + 327 - 4*d**3 - 15*d - 322 + 15*d**2.
-5*(d - 1)**3
Let a(g) be the first derivative of 0*g - 3/17*g**2 - 5/34*g**4 + 120 + 2/85*g**5 + 14/51*g**3. Factor a(h).
2*h*(h - 3)*(h - 1)**2/17
Let -44/3*i**3 + 2/3*i**4 + 14*i**2 + 0 + 0*i = 0. What is i?
0, 1, 21
Let q(o) be the third derivative of -o**5/12 - 495*o**4/4 - 147015*o**3/2 + 269*o**2. Factor q(x).
-5*(x + 297)**2
Let x(u) be the third derivative of -u + 0 - 12*u**2 + 1/90*u**5 - 13/18*u**4 + 169/9*u**3. Factor x(f).
2*(f - 13)**2/3
Let w(h) be the third derivative of 7/100*h**5 - 9*h + 3*h**2 - 1/8*h**4 + 0*h**3 + 0. Factor w(i).
3*i*(7*i - 5)/5
Suppose 0 = -24*x + 14*x + 20. Factor -1 - 15*z**3 - 5*z**x - 4*z - 4*z - 3 + 14*z**3.
-(z + 1)*(z + 2)**2
Let a(o) be the third derivative of -o**6/30 + 17*o**5/10 - 2*o**4 - 25*o**3/3 - 2*o**2 + 325. Factor a(h).
-2*(h - 25)*(h - 1)*(2*h + 1)
Let m(g) = -81*g - 490. Let n 