*x**2 + 0 + w*x.
-x**2*(x + 2)/8
Let i(g) be the third derivative of g**5/30 - 86*g**4/3 + 341*g**3 - 2*g**2 + 863*g. Factor i(z).
2*(z - 341)*(z - 3)
Let o = 71 - 57. Factor o + 13 + 67*l - 37*l + 3*l**2.
3*(l + 1)*(l + 9)
Let j be (-1925)/380 - (-4)/((-12)/(-21)). Let v = j + -32/19. Determine k, given that 5/4*k + v*k**3 + k**2 + 1/2 = 0.
-2, -1
Suppose 0 = -9*h - 1025 + 1070. Let -4/5*v + 0*v**4 + 0*v**2 + 0 + 8/5*v**3 - 4/5*v**h = 0. What is v?
-1, 0, 1
Suppose -4*q + 10 = -5*m + 50, 3*q = m - 19. Let l be 8*(-5 - (-55)/10). Factor -27 + 24*f + 4*f**m - 9 + l*f**2 + 0*f**2 - 24*f**3 + 28*f**2.
4*(f - 3)**2*(f - 1)*(f + 1)
Find u such that 825/2*u - 1/6*u**2 + 1238/3 = 0.
-1, 2476
Let w(z) = 55*z**3 + 1180*z**2 - 4115*z + 3030. Let x(h) = -2*h**3 - 5*h**2 + 2*h. Let f(g) = -w(g) - 30*x(g). Factor f(i).
5*(i - 202)*(i - 3)*(i - 1)
Factor -4*h**2 + 4/5*h**3 - 108 - 564/5*h.
4*(h - 15)*(h + 1)*(h + 9)/5
Let h be (-10 - 118/(-12))*(-12 + (-420)/(-49)). Factor -h*v**2 + 6/7 + 23/7*v.
-(v - 6)*(4*v + 1)/7
What is w in -896/3 - 40/3*w**2 + 2/3*w**3 - 416/3*w = 0?
-4, 28
Let g = 3/381308 - -5338303/1143924. Find d such that -g*d**4 + 14/3*d**2 + 2/3*d**5 + 0 + 12*d - 38/3*d**3 = 0.
-2, -1, 0, 1, 9
Let h be (127/18 - 6/(-12)*-14)*1. Let c(t) be the second derivative of -h*t**3 - 1/180*t**6 + 1/60*t**5 - 22*t + 0 + 0*t**2 + 1/72*t**4. Factor c(q).
-q*(q - 2)*(q - 1)*(q + 1)/6
Let q(h) be the third derivative of -h**7/210 - h**6/12 + h**5/20 + 7*h**4/6 - 10*h**3/3 - 41*h**2 - 7*h - 7. Let q(k) = 0. Calculate k.
-10, -2, 1
Suppose -4*t + 4*k = -28, -3*t = 2*k - 26 + 15. What is c in -5*c**2 + t*c - 20 + 30 + 0*c**2 = 0?
-1, 2
Suppose -213/4*g**4 - 306*g + 9/4*g**5 - 108 + 1215/4*g**3 + 645/4*g**2 = 0. What is g?
-1, -1/3, 1, 12
Solve 0*l + 64*l**2 - 2/3*l**5 - 89/3*l**4 + 340/3*l**3 + 0 = 0.
-48, -1/2, 0, 4
Let r(q) be the first derivative of 0*q**3 + 3/14*q**2 - 1/28*q**4 + 70 + 2/7*q. Factor r(x).
-(x - 2)*(x + 1)**2/7
Let f(t) be the second derivative of 2*t**7/21 + 2*t**6/15 - 15*t**5 + 143*t**4/3 - 140*t**3/3 - 1445*t. Find k such that f(k) = 0.
-10, 0, 1, 7
Let m(d) = -d - 1. Let r(l) = l**2 + 11*l + 13. Let y(k) = -5*m(k) + r(k). Let p be y(-15). Factor -2*o**2 - 6*o**3 + 7*o**p + o**2 - 3*o**2 + 4*o.
o*(o - 2)**2
Let v(g) = 13*g**2 - 1144*g - 1142. Let o(n) = -4*n**2 + 2*n + 1. Let t(c) = -3*o(c) - v(c). Factor t(f).
-(f - 1139)*(f + 1)
Factor 7/10*h**4 - 9/5*h + 0 + 6/5*h**3 - 13/10*h**2.
h*(h + 1)*(h + 2)*(7*h - 9)/10
Let b(o) = o**2 - 44*o + 43. Let t be b(1). Suppose 12*d + 17 - 53 = t. Suppose 0*y**2 + 0 + 0*y + 8/3*y**d + 28/3*y**4 + 8*y**5 = 0. Calculate y.
-2/3, -1/2, 0
Suppose 4*u - 3*j - 608 = 0, u - 67 = -5*j + 108. Determine s, given that 125*s**4 - 26*s**2 - 20*s - 364*s**2 - u*s**3 + 40 + 50*s**4 = 0.
-1, -2/5, 2/7, 2
Let l(r) be the first derivative of -44/3*r**3 + 1/540*r**6 + 17 - 1/15*r**5 + 0*r**2 + r**4 + 0*r. Let k(x) be the third derivative of l(x). Factor k(c).
2*(c - 6)**2/3
Let n(g) be the third derivative of 0 + 0*g**3 - 9/28*g**4 - 1/1260*g**6 + 60*g**2 + 1/35*g**5 - g. Find s such that n(s) = 0.
0, 9
Let z(m) be the second derivative of 1/16*m**4 + 1/8*m**3 + 5 + 0*m**2 + 2*m. Suppose z(c) = 0. Calculate c.
-1, 0
Let j be 44/(4752/(-126)) - 79/(-42). Find s such that j*s**4 - 18/7*s**3 + 0 - 33/7*s**2 - 10/7*s = 0.
-1, -2/5, 0, 5
Let q be (-1 - (-10220)/1485) + -10 + 5. Let s = -14/27 + q. Let -4/11*z**3 + 14/11*z**4 - 14/11*z**2 + 0 + s*z = 0. Calculate z.
-1, 0, 2/7, 1
Let w(k) be the first derivative of -1183*k**4/18 - 104*k**3/27 + 304*k**2/9 + 128*k/9 - 2189. Find r such that w(r) = 0.
-4/13, 4/7
Let k(q) be the third derivative of q**5/90 + 51*q**4 + 93636*q**3 + 4971*q**2. Factor k(a).
2*(a + 918)**2/3
Suppose -6*j + 2*j - 1278 = 3*d, -d = -3*j - 952. Let u = j + 321. Factor 3/5*b**u + 6/5 + 0*b**2 - 9/5*b.
3*(b - 1)**2*(b + 2)/5
Factor -934*j + 0*j**2 - 154*j + 3188*j - j**2 + 6*j**2.
5*j*(j + 420)
Let d(i) be the third derivative of i**5/30 + 13*i**4/12 + 4*i**3 + 3*i**2 + 27*i. Suppose d(k) = 0. Calculate k.
-12, -1
Let s(l) be the second derivative of l**4/20 - 2*l**3/5 + 9*l**2/10 - 836*l - 3. Factor s(w).
3*(w - 3)*(w - 1)/5
Let p(a) be the third derivative of -a**6/24 - 3*a**5/2 - 25*a**4/2 - 140*a**3/3 - 1150*a**2 + 2. Find l such that p(l) = 0.
-14, -2
Let t(b) be the third derivative of 0 + 1057/12*b**5 - 370/3*b**4 - 49/24*b**6 - 90*b**2 + 70*b**3 + 0*b. Factor t(d).
-5*(d - 21)*(7*d - 2)**2
Let z(o) be the second derivative of -o**4/24 - 8*o**3/3 + 80*o**2 - 166*o. Find h, given that z(h) = 0.
-40, 8
Let v(u) be the second derivative of -3*u**5/40 + 13*u**4/4 - 71*u**3/4 + 69*u**2/2 + 6179*u. Factor v(q).
-3*(q - 23)*(q - 2)*(q - 1)/2
Suppose -2*t - 4 = x - 12, -3*t = 5*x - 33. Suppose 0 = k + k - x. Factor k*n**2 - 80*n - 28*n**3 + 48*n**2 + 21*n**2 + 32 + 4*n**4.
4*(n - 2)**3*(n - 1)
Let u(n) be the second derivative of -n**7/1260 - n**6/80 + 7*n**5/720 - 79*n**3/3 + 201*n. Let c(k) be the second derivative of u(k). Factor c(x).
-x*(x + 7)*(4*x - 1)/6
Factor -8*y**4 + 13*y**4 + 9753 + 4980*y + 6495*y + 4465*y**2 + 285*y**3 - 2463.
5*(y + 1)*(y + 2)*(y + 27)**2
Let q be ((-12)/6 - -5) + 4. Determine p, given that 4*p - 29*p - q*p**3 + 5*p**4 - 9*p**3 - 45*p**2 + p**3 = 0.
-1, 0, 5
Let x be 3/(-10)*5/36*-6. Let c(o) be the first derivative of 8*o - 2/3*o**3 + 15 - 2*o**2 + x*o**4. Factor c(j).
(j - 2)**2*(j + 2)
Let v(c) be the third derivative of c**5/20 + 15*c**4/4 - 351*c**3/2 + 72*c**2 - 5*c. Factor v(f).
3*(f - 9)*(f + 39)
Let g be (-5)/5 + 26/120*5. Let n(m) be the second derivative of 5*m + 0*m**2 - 1/40*m**5 + 0 - 1/12*m**4 - g*m**3. Determine a so that n(a) = 0.
-1, 0
Let k(q) = q**3 - q**2 - q. Let o(f) = -81*f**5 - 423*f**4 - 403*f**3 - 35*f**2 + 29*f. Let h(i) = -3*k(i) + o(i). Solve h(r) = 0.
-4, -1, -4/9, 0, 2/9
Let k(u) be the third derivative of -2/3*u**3 - 38*u**2 + 1/60*u**6 + 0 + 0*u - 1/12*u**4 + 1/15*u**5. Determine g, given that k(g) = 0.
-2, -1, 1
Let y(t) be the first derivative of -t**3/12 - 735*t**2/2 - 540225*t + 1185. Determine m so that y(m) = 0.
-1470
Let o be 16*-18 - (-126 + 118). Let u be 5*(-16)/o*7. Let 0 - 15*w**3 - 10*w - 45/2*w**u - 5/2*w**4 = 0. What is w?
-4, -1, 0
Let q(p) be the third derivative of 1/6*p**5 - 16*p**2 + p**3 - 1/60*p**6 + 0*p + 1 - 7/12*p**4. Factor q(l).
-2*(l - 3)*(l - 1)**2
Let l(f) = 4*f**4 + 61*f**3 - 208*f**2 - 334*f + 777. Let m(k) = -k**4 - 16*k**3 + 52*k**2 + 84*k - 194. Let q(o) = -2*l(o) - 9*m(o). Factor q(a).
(a - 2)**2*(a + 2)*(a + 24)
Let c(f) = -4*f + 26. Let j be c(6). What is x in 4*x**2 - 2 - 7*x - j + 0 + 3 + 4 = 0?
3/4, 1
Let z(g) be the second derivative of -5*g**7/14 + 81*g**6/70 + 156*g**5/35 - 78*g**4/7 - 136*g**3/7 - 72*g**2/7 + 1113*g. Suppose z(w) = 0. What is w?
-2, -2/5, -2/7, 2, 3
Suppose -197*z - 351 = -144*z - 695*z + 933. Find t such that 2/3*t**z - 28/3*t - 10 = 0.
-1, 15
Let v(h) be the first derivative of 0*h**2 - 1/4*h**4 + 0*h - 122 + 0*h**3. What is s in v(s) = 0?
0
Let g = 10606/171 + -1170/19. Let x(r) be the first derivative of 0*r - g*r**2 + 4/27*r**3 + 1/9*r**4 - 50. Factor x(d).
4*d*(d - 1)*(d + 2)/9
Factor 2/13*s**3 + 298102*s - 5570/13*s**2 + 3880898/13.
2*(s - 1393)**2*(s + 1)/13
Let j be 97/(63147/(-186))*(-14)/8. Determine w, given that -3/2*w**2 - w + 0 - j*w**3 = 0.
-2, -1, 0
Let d = -13323 - -13326. Let x(j) be the second derivative of 0 - 34/5*j**d + 5/2*j**6 + 21/2*j**4 + 12/5*j**2 - 33/4*j**5 - 13*j. Factor x(u).
3*(u - 1)*(5*u - 2)**3/5
Let c(t) be the second derivative of 2/21*t**7 + 0*t**3 + 0*t**2 - 73*t + 2 + 6*t**6 + 528/5*t**5 + 484/3*t**4. Factor c(m).
4*m**2*(m + 1)*(m + 22)**2
Let s = 212113031/159 - 1334049. Let r = -6/53 - s. Factor 49/3 - r*o + 1/3*o**2.
(o - 7)**2/3
Let u(v) be the second derivative of -9*v**5/10 - 314*v**4/3 + 779*v**3/3 - 142*v**2 + 5*v + 27. What is n in u(n) = 0?
-71, 2/9, 1
Factor -1/5*o**3 + 0 - 119/5*o**2 - 234/5*o.
-o*(o + 2)*(o + 117)/5
Let w(k) = -40*k - 284. Let u be w(-8). Suppose 2*p - 40 = -u. Factor -3/7*z + 18/7 - 13/7*z**p + z**3 - 1/7*z**4.
-(z - 3)**2*(z - 2)*(z + 1)/7
Let m(q) be the first derivative of q**4/2 + 124*q**3/3 - 65*q**2 - 252*q - 4993. Find x such that m(x) = 0.
-63, -1, 2
Let -921*s**5 + 916*s**5 - 125 + 260*s + 80*s