= 440*q - 439*q. Let 34/11*t - 216/11*t**5 + 182/11*t**3 - 4/11 - 254/11*t**4 + 258/11*t**s = 0. What is t?
-1, -1/4, 2/27, 1
Let z(b) be the first derivative of -2 + 5/12*b**5 + 0*b**3 + 0*b + 5/2*b**2 - 1/8*b**6 - 5/12*b**4. Let q(x) be the second derivative of z(x). Factor q(g).
-5*g*(g - 1)*(3*g - 2)
Let j = -1321974 - -2643953/2. Factor j + 17/4*b + 1/4*b**3 + 2*b**2.
(b + 1)*(b + 2)*(b + 5)/4
Let z(u) be the third derivative of -u**6/420 + 11*u**5/42 + 113*u**4/84 + 19*u**3/7 - 1456*u**2. Factor z(v).
-2*(v - 57)*(v + 1)**2/7
Let i(x) be the third derivative of x**5/120 + 35*x**4/4 - 421*x**3/12 - 47*x**2 - 21. Solve i(q) = 0.
-421, 1
Let g = 63733/12 + -5311. Let z(n) be the first derivative of 3/8*n**2 + 15 + 0*n + 1/20*n**5 - g*n**3 - 3/16*n**4. Suppose z(y) = 0. Calculate y.
-1, 0, 1, 3
Let k(r) = -276*r**2 - 8091*r + 1014. Let m(b) = 40*b**2 + 1157*b - 145. Let x(l) = 4*k(l) + 27*m(l). Factor x(q).
-3*(q + 47)*(8*q - 1)
Let z(l) be the third derivative of -l**6/60 - l**5/30 - 2*l**2 + 102*l. Factor z(n).
-2*n**2*(n + 1)
Suppose -4*s - 5*o - 17 = 0, 0 = -9*s + 7*s + 2*o + 14. Suppose q**s + 48*q - 102*q - 5*q**5 + 49*q - 20*q**4 - 21*q**2 - 30*q**3 = 0. What is q?
-1, 0
Let w(u) be the second derivative of -2*u + 5/2*u**2 + 0*u**3 + 1/280*u**6 - 1/420*u**5 - 7 + 0*u**4. Let x(z) be the first derivative of w(z). Factor x(n).
n**2*(3*n - 1)/7
Let s(w) be the second derivative of -w**7/168 + w**6/40 + 17*w**5/80 - 29*w**4/16 + 16*w**3/3 - 15*w**2/2 + 79*w. Find x such that s(x) = 0.
-5, 1, 2, 3
Determine b so that 828*b**4 + 0 - 1344*b - 27/2*b**5 - 4110*b**3 + 4392*b**2 = 0.
0, 2/3, 4, 56
Suppose 4*y + 7 - 567 = 0. Find q, given that -y*q**2 + 361*q**4 - 1088*q**3 + 416*q + 832*q**5 - 304*q + 16 + 807*q**4 = 0.
-2, -1/4, -2/13, 1/2
Let x(g) be the third derivative of g**6/120 + 73*g**5/20 - 37*g**4 + 446*g**3/3 - 10050*g**2. Factor x(v).
(v - 2)**2*(v + 223)
Let x = 1148851/3 - 382947. Solve 28/9 - x*u + 2/9*u**2 = 0 for u.
1, 14
Let t = 310/1809 + 660779/1809. Let j = -365 + t. Solve -4/9*s**3 - 4/9*s**2 + j*s + 4/9 = 0 for s.
-1, 1
Let p(k) be the second derivative of k**7/42 + 3*k**6/10 + k**5/10 - 7*k**4 + 12*k**3 + 586*k + 1. Find c, given that p(c) = 0.
-6, 0, 1, 2
Let k(v) be the third derivative of v**6/280 - 61*v**5/140 - v**4/56 + 61*v**3/14 - 2*v**2 + 26*v + 43. Suppose k(j) = 0. What is j?
-1, 1, 61
Let y(d) = 5*d - 40. Let j be y(8). Suppose -2*v + 4*v - 8 = j. Factor -10*r + 10*r**2 + 4*r**3 - v*r**2 + 6*r.
2*r*(r + 2)*(2*r - 1)
Solve -5194/9 + 1582/9*l + 2/9*l**3 - 134/9*l**2 = 0 for l.
7, 53
Suppose 40*b - 42*b = 36. Let j be ((b/(-15))/1)/(3/10). Factor 0 - 1/11*d**2 - 1/11*d**j + 0*d - 2/11*d**3.
-d**2*(d + 1)**2/11
Let a be ((-6)/9)/((-57)/(-63) + -1). Let p = a + -5. Suppose 23*d**p + 14*d**2 - 34*d**2 - 1 + 2*d = 0. Calculate d.
-1, 1/3
Let d(s) = -s**2 - 18*s + 74. Let z be d(-8). Suppose -11*r = -88*r + z. Suppose 0*b**r + 0*b - 1/2*b**5 + b**3 - 1/2*b**4 + 0 = 0. What is b?
-2, 0, 1
Let v be ((2 + 3)/(3/6))/2. Suppose -3*i = -v*b - 11, -13*b - 1 = i - 10*b. Determine f so that -2/3*f**4 - 13/9*f**3 + 0 - 4/3*f**i - 1/9*f**5 - 4/9*f = 0.
-2, -1, 0
Let q(n) be the third derivative of 0*n - 29/30*n**6 - 22/15*n**5 - 1/12*n**8 + 6*n**4 + 0 - 185*n**2 + 4/7*n**7 - 16/3*n**3. Find k, given that q(k) = 0.
-1, 2/7, 1, 2
Let p be 13 - (-1 - (-3 - (0 + 1))). Factor -8*a**5 + 5*a**2 - 5*a + 16*a**5 + 5*a**2 - 3*a**5 - p*a**4.
5*a*(a - 1)**3*(a + 1)
Let i = 16873/22 - 84101/110. Determine f so that 26/5*f - 32/5*f**2 + i - 6/5*f**3 = 0.
-6, -1/3, 1
Let h(q) be the third derivative of 0*q + 1/192*q**4 - 1/160*q**5 - 51*q**2 + 1/320*q**6 + 0 + 0*q**3 - 1/1680*q**7. Solve h(u) = 0 for u.
0, 1
Let o(q) = -24*q**2 - q + 1. Let p(s) = 141*s**2 - 3768*s - 1186929. Let x(b) = 6*o(b) + p(b). Suppose x(k) = 0. Calculate k.
-629
Suppose 44 = -6*j + 8. Let g(s) = -5*s**2 + 48*s - 229. Let a(l) = l**2 - 12*l + 57. Let x(r) = j*g(r) - 26*a(r). Determine t, given that x(t) = 0.
-9, 3
Let z(p) be the third derivative of p**8/4032 - 5*p**7/1008 + p**5/60 - 35*p**4/6 + 2*p**2 + 27. Let g(x) be the third derivative of z(x). Factor g(b).
5*b*(b - 5)
Let r(i) = -i**2 + i - 1. Let c(q) = 3*q**3 + 18*q**2 - 15*q - 48. Let s = 272 + -271. Let p(z) = s*c(z) + 6*r(z). Determine w, given that p(w) = 0.
-3, 2
Let n(j) = 10*j**2 - 5*j - 23. Let h(i) = i**2 - 3. Suppose -12*v + 223 = 7. Let k(p) = v*h(p) - 2*n(p). Factor k(t).
-2*(t - 4)*(t - 1)
Let w(v) be the first derivative of 3*v**4/28 + 132*v**3/7 - 1924. Factor w(r).
3*r**2*(r + 132)/7
Suppose 6*i = i + 6*i. Let h be (2/14)/(8/28*27/18). Factor -1/3*a**4 + i + 4/3*a**2 - h*a**3 + 4/3*a.
-a*(a - 2)*(a + 1)*(a + 2)/3
Let s(f) be the second derivative of -f**5/20 - f**4/3 + 2*f**3/3 - f**2/2 + 6*f. Let c be s(-5). Solve 13*l + 7*l + 4*l**2 - c*l = 0 for l.
-4, 0
Suppose -560 = 2*w - 6*w. Let u be ((-12)/(-7) - 0) + 40/w. Factor -u*v**3 - 4/5*v**2 + 2*v + 4/5.
-2*(v - 1)*(v + 1)*(5*v + 2)/5
Let v be (205/(-2296)*7)/((-1)/4*2). Let 5/4*r**4 + v*r**2 + 0*r - 5/2*r**3 + 0 = 0. What is r?
0, 1
Let l be (-2)/(-9)*4887/1267*((-7)/3)/(-1). Determine x, given that x**l + 1/3*x**3 + 0 + 0*x = 0.
-3, 0
Find c, given that 5*c**2 - 123592*c**3 - 3*c**2 + 123344*c**3 + 6*c**2 + 1922*c**4 = 0.
0, 2/31
Let j(n) be the first derivative of n**4/8 + 3*n**3/8 - 3*n**2/16 - 5*n/4 + 1501. Factor j(l).
(l - 1)*(l + 2)*(4*l + 5)/8
Let y = 929/10025 + 27/401. Let s(l) be the first derivative of 0*l + 4/15*l**3 - 34 + 1/30*l**6 - 2/5*l**2 - y*l**5 + 3/20*l**4. Suppose s(r) = 0. Calculate r.
-1, 0, 1, 2
Let i(p) = 3*p**3 + 26*p**2 - 605*p - 4480. Let u be i(-7). Factor -12/5*x**4 + 0*x + 27/5*x**3 + u - 6/5*x**2.
-3*x**2*(x - 2)*(4*x - 1)/5
Factor -5/6*n**3 - 165 - 65/3*n**2 + 375/2*n.
-5*(n - 6)*(n - 1)*(n + 33)/6
Let f(p) = 19*p + 114. Suppose 12*h + 30 = 7*h. Let j be f(h). Determine d, given that j*d**3 + 3/5*d + 6/5*d**2 - 6/5*d**4 - 3/5*d**5 + 0 = 0.
-1, 0, 1
Let a be ((-24)/50)/(((-35112)/(-11920))/(-11)). Let j = 1/133 + a. Factor 3/5*k**2 + j + 12/5*k.
3*(k + 1)*(k + 3)/5
Let -81/4*c**2 - 1/4*c**3 + 0 - 146*c = 0. What is c?
-73, -8, 0
Let g(q) = 7*q**3 + 17*q**2 - 24*q. Let i(m) be the second derivative of 12*m**5/5 + 10*m**4 - 28*m**3 + 15*m - 3. Let o(x) = -27*g(x) + 4*i(x). Factor o(v).
3*v*(v - 1)*(v + 8)
Solve -28*w - 290 - 3*w**2 - 4*w**2 - 7*w**2 + 20*w**2 = 0.
-5, 29/3
Factor -1/2*h**3 - 4558*h - 91*h**2 - 36980.
-(h + 10)*(h + 86)**2/2
Let o(t) be the second derivative of t**7/84 + t**6/60 - 3*t**5/10 - 7*t**4/6 - 4*t**3/3 + t - 351. Factor o(l).
l*(l - 4)*(l + 1)*(l + 2)**2/2
Find d such that -3*d**3 + 248334 - 1975*d + 50710*d + d**3 + 7*d**3 + 677631 + 855*d**2 = 0.
-57
Let k be 3094/153 + 10*-2. Let n(u) be the first derivative of 0*u**2 + 0*u**3 + 1/3*u**4 + 0*u**5 + 0*u - k*u**6 + 12. Factor n(o).
-4*o**3*(o - 1)*(o + 1)/3
Solve 550*f + f**2 + 136900 - 1295*f + 5*f = 0 for f.
370
Let r(t) be the first derivative of 11*t**4/12 + 415*t**3/3 - 384*t**2 - 460*t/3 - 1050. Factor r(y).
(y - 2)*(y + 115)*(11*y + 2)/3
Let m(h) be the third derivative of h**9/22680 + h**8/5040 - h**4/12 - 40*h**3/3 - h**2 + 124. Let y(k) be the second derivative of m(k). Factor y(f).
2*f**3*(f + 2)/3
Factor 4415 + 263*g**2 - 2344 - 9*g**3 - 2263 + 806*g.
-(g - 32)*(g + 3)*(9*g - 2)
Let l be 2/5 + (-14)/60. Let k be ((-1)/(-4) + 0)/((569160/(-400))/27 + 53). Let l*w - k*w**2 - 1/6*w**3 + 5/6 = 0. Calculate w.
-5, -1, 1
Suppose 32 + 23*w**3 - w**5 - 4*w**3 - 4*w**2 - 28*w**4 - w**5 + 45*w**3 - 12572*w + 12510*w = 0. What is w?
-16, -1, 1
Let z(d) = 92*d + 1106. Let t be z(-12). Let j(i) be the first derivative of -12/7*i - 2/7*i**3 - 1 - 9/7*i**t. Factor j(m).
-6*(m + 1)*(m + 2)/7
Let d(h) = -h**2 - 1119*h - 92606. Let j be d(-90). Solve 158*o**3 + 272/9*o - 1022/9*o**2 - 72*o**j - 8/3 = 0.
2/9, 3/4, 1
Let t(v) be the first derivative of -v**3/5 - 1167*v**2/10 - 1164*v/5 + 144. Factor t(l).
-3*(l + 1)*(l + 388)/5
Let y = 65042 + -65033. Factor y*h + 20/3*h**2 + 10/3 + h**3.
(h + 1)*(h + 5)*(3*h + 2)/3
Suppose 133/3*u**2 + 1452 + 1/3*u**3 + 1496*u = 0. What is u?
-66, -1
Let u be 5/(-19 + -1)*(-40)/5. Suppose -3*h + 6 = -h. Factor -14*y + y + h*y - y**u - 25.
-(y + 5)**2
Let s(q) be the second derivative of -8/9*q**3 - 84*q 