 c = 52 - 50. Factor 659 - 8*g - 4*g**c - 659.
-4*g*(g + 2)
Solve 318*s**2 + 1857*s**2 - 8*s + 3*s - 2175 + 5*s**3 = 0.
-435, -1, 1
Let n = 1023 + -1020. Let v(i) be the first derivative of 0*i - 2/3*i**3 - 6 - n*i**2. Find l, given that v(l) = 0.
-3, 0
Let i be (-47 - (-6790)/140)*(-8*1)/(-4). Let -442/7*v - 8/7*v**i - 64*v**2 - 110/7 = 0. What is v?
-55, -1/2
Let k(i) = i**3 - 4*i**2 + 6*i - 22. Suppose 3*b - 5*n = 2, -b + 2*b + 6 = 5*n. Let x be k(b). Suppose 1/8*v**x + 3/8*v + 0 = 0. What is v?
-3, 0
Let h(c) = c + 5. Let s be h(-1). Solve -s*p**2 + 9*p**3 + 63*p + 46*p**2 - 83 + 113 = 0.
-2, -5/3, -1
Let o be 8/22 - (-105642)/8415 - (-2)/(-17). Suppose -o + 4/5*j**2 - 24/5*j = 0. What is j?
-2, 8
Suppose -1/3*l**5 + 0 + 0*l - 1/3*l**4 + 0*l**2 + 44*l**3 = 0. Calculate l.
-12, 0, 11
Solve 11*p**2 - 100*p**2 - 192*p**3 + 148*p**2 - 507*p**2 + 4*p**5 - 16*p**4 - 320*p = 0.
-2, 0, 10
Find c such that 22*c**4 + 79*c - 2*c**4 - 11*c**4 + 672*c**2 + 318*c**3 + 17*c + 30*c**4 = 0.
-4, -2/13, 0
Let n(o) = 8*o - 24*o + 2 + 9*o**2 + 5. Let y = 2728 - 2733. Let j(u) = 4*u**2 - 8*u + 4. Let k(g) = y*j(g) + 2*n(g). Factor k(h).
-2*(h - 3)*(h - 1)
Let r be 16/(-40) + (-24)/(-10). Suppose 32*o - 12*o**4 + 97*o**3 - 17*o**3 - 476*o**2 + 600*o**r = 0. Calculate o.
-1, -1/3, 0, 8
Let p = 6405 + -2994. Suppose -66*g + p = -483. Factor g*l**2 + 169/2 - 12*l**3 + 156*l + 1/2*l**4.
(l - 13)**2*(l + 1)**2/2
Let t = 44 - -311. Factor -367*a**3 + 1526*a + 5495*a**2 + 122*a**3 + t + 1674*a + 105.
-5*(a - 23)*(7*a + 2)**2
Let x be 77/(-49)*(-9 - -21). Let t = x - -716/35. Factor 2/5*d**5 + 18/5*d + 0 + t*d**4 - 24/5*d**2 - 4/5*d**3.
2*d*(d - 1)**2*(d + 3)**2/5
Determine u, given that -2 + 13/3*u**3 - 14*u**2 + 35/3*u = 0.
3/13, 1, 2
Let y(o) = -3 - 5*o**3 - 3 + o**3 + 5*o**3 - 6*o**2 - 15*o. Let n be y(8). Factor 2/15*l**3 + 16/15*l - 2/3*l**n - 8/15.
2*(l - 2)**2*(l - 1)/15
Suppose -55*k = -51*k - 12. Determine n so that -n**3 - 7*n**2 + 1250 - 1250 - 46*n + k*n**3 + 51*n**2 = 0.
-23, 0, 1
Let q = 335 - 95. Let n be -2 - (0 + q/(-108)). What is a in 56/9*a + 392/9 + n*a**2 = 0?
-14
Let s(x) be the second derivative of -3*x**5/80 - 113*x**4/4 - 50621*x**3/8 + 154587*x**2/4 + 2*x + 1979. Find h, given that s(h) = 0.
-227, 2
Factor 23/5*y**2 + 0 - 22/5*y - 1/5*y**3.
-y*(y - 22)*(y - 1)/5
Suppose -2*m + 80 = -7*m. Let j be -5*m/12*(-12)/(-40). Factor 6/7*k + 6/7*k**3 + 4/7 - 16/7*k**j.
2*(k - 2)*(k - 1)*(3*k + 1)/7
Let h(f) = -9*f**3 + 12*f**2 + 51*f - 64. Let m(i) = 65*i**3 - 85*i**2 - 355*i + 450. Let q(x) = 15*h(x) + 2*m(x). Let q(l) = 0. What is l?
-3, 1, 4
Let f(q) be the first derivative of -20*q - 25/3*q**3 + 5/4*q**4 - 101 + 20*q**2. Determine p so that f(p) = 0.
1, 2
Let 2*b**2 + 2*b**2 + 1016*b - 2*b**2 + 56541 + 72491 = 0. Calculate b.
-254
Let v = 6976102/11 - 634191. Factor v*t**2 - 5/11*t**3 + 8/11 + 14/11*t.
-(t - 2)*(t + 1)*(5*t + 4)/11
Let b be 7296/4224 - (-6)/22. Let g(o) be the second derivative of 0 - 34*o - 5/6*o**4 - 5/6*o**3 + 5/2*o**b. Determine a so that g(a) = 0.
-1, 1/2
Let s be (-53)/(-7) - 6/(-14). Suppose 0 = -s*g + 3*g + 205. Solve 117 + g*h**2 - 5*h**2 - 2*h**3 + 125 + 190 - 216*h = 0 for h.
6
Let g(s) be the third derivative of -s**7/210 - s**6/75 + 53*s**5/100 - 101*s**4/60 + 28*s**3/15 - 2*s**2 + 338*s. Let g(t) = 0. Calculate t.
-7, 2/5, 1, 4
Factor -1380*k**3 - 153383627 + 40048022 - 5251477*k - 5*k**4 + 1097040*k + 275427*k - 2691170*k - 142830*k**2.
-5*(k + 69)**4
Let x(j) be the third derivative of 23*j**2 + 0 + 0*j + 1/10*j**5 + 1/90*j**6 - 2/3*j**4 + 7/6*j**3. Let r(m) be the first derivative of x(m). Factor r(t).
4*(t - 1)*(t + 4)
Let i(v) be the first derivative of 2*v**5/55 - 5*v**4/11 - 2*v**3/3 + 2024. Factor i(z).
2*z**2*(z - 11)*(z + 1)/11
Let l(w) be the second derivative of -w**6/165 - w**5/11 + 41*w**4/6 + 928*w**3/33 + 468*w**2/11 + 3293*w + 1. Find m, given that l(m) = 0.
-26, -1, 18
Let a = 29 - 14. Suppose -a = -2*y - y. Solve -5*d - 12*d**2 - y*d + 36*d**3 + d - 48*d**5 + d + 32*d**4 = 0 for d.
-1/2, 0, 2/3, 1
Suppose 5015 = 12*z + 4943. Let g(o) be the third derivative of -36*o**2 + 1/120*o**z - 5/24*o**4 - 1/210*o**7 + 0 + 1/20*o**5 + 1/3*o**3 + 0*o. Factor g(b).
-(b - 1)**3*(b + 2)
Let v(n) be the third derivative of n**7/17640 - n**6/1260 - n**5/168 + n**4/8 + 2*n**3/3 + 25*n**2. Let w(i) be the second derivative of v(i). Factor w(r).
(r - 5)*(r + 1)/7
Let o(k) be the second derivative of -2*k**5/5 - 877*k**4/12 - 11935*k**3/3 + 9075*k**2/2 - 3*k + 16. Factor o(q).
-(q + 55)**2*(8*q - 3)
Suppose 2*p - 3 - 9 = 0. Suppose 246*q = 249*q - p. Solve -190 - 10*u**q + 5*u**3 + 2*u**4 + 3*u**4 + 190 = 0 for u.
-2, 0, 1
Suppose 9*r**3 + 6*r**3 + 2601*r**2 + 2586*r**2 - r**4 + 53*r + 18 - 5136*r**2 = 0. What is r?
-1, 18
Suppose 7*x = -93 + 128. Solve 1896*g**2 - x*g + 80*g**3 - 35 - 1057*g**2 - 279*g**2 = 0.
-7, -1/4, 1/4
Let f = 1208 - 1107. Let c be ((3 - 1)/2)/(f + -99). Factor c*z**2 + 18 + 6*z.
(z + 6)**2/2
Let h be 1258/510 - (-42)/(-18). Let q(t) be the third derivative of 0*t + 35*t**2 + 0 + 1/300*t**6 + 1/525*t**7 - 1/50*t**5 + h*t**3 - 1/60*t**4. Factor q(w).
2*(w - 1)**2*(w + 1)*(w + 2)/5
Suppose 2*f - 55 = -15*f + 6*f. Let v(w) be the second derivative of -1/18*w**4 - 1/18*w**3 + 2/5*w**f + 0 + 0*w**2 + 12*w. Find l, given that v(l) = 0.
-1/6, 0, 1/4
Let f(t) be the second derivative of -56*t**6/15 + 17*t**5/5 + 2*t**4 + 3576*t. Determine c so that f(c) = 0.
-1/4, 0, 6/7
Let w be -26 + 12 + 103/7. Let k(p) be the second derivative of -1/70*p**5 - 3/14*p**4 + 25/7*p**2 + 0 + p - w*p**3. Factor k(c).
-2*(c - 1)*(c + 5)**2/7
Suppose 2*k + 4*j = 926, k - 165 = 2*j + 290. Let g be 30/k*-3*432/(-90). Suppose g*l**4 + 36/17*l**3 + 2/17*l**5 + 0*l**2 + 0 - 54/17*l = 0. Calculate l.
-3, 0, 1
Suppose -2*j = -4*j - 5*t - 7, 3*t - 11 = -5*j. Solve 30*n**4 - 2*n**5 + 30*n**j - 58*n**4 = 0 for n.
0, 1
Let o(b) = 2*b**2 - 3*b - 3. Let t be o(4). Let u = 90 - 75. Let 4*n**2 + 16 - t*n + 16*n - u*n = 0. What is n?
2
Suppose -y = -3*s - 4, 19 = s + s - 5*y. Let k be (-9)/27 - (s + 8/4). Find u, given that 2/3 - 2/9*u**3 - k*u**2 + 2/9*u = 0.
-3, -1, 1
Let l(v) be the second derivative of -v**7/840 + v**6/60 + 2*v**5/15 + 31*v**3/6 - 112*v. Let q(w) be the second derivative of l(w). Let q(r) = 0. Calculate r.
-2, 0, 8
Let f(x) = 13*x**2 + 11 - 50 + 9*x + 16 + 19. Let l(o) = 26*o**2 + 17*o - 9. Let v(a) = 13*f(a) - 6*l(a). Factor v(k).
(k + 1)*(13*k + 2)
Let b(g) be the first derivative of -21/2*g**4 + 0*g + 0*g**3 - 3/5*g**5 + 298 + 0*g**2. Factor b(y).
-3*y**3*(y + 14)
Let t(k) = -35*k**4 + 32*k**3 - 154*k**2 - 32*k + 129. Let b(x) = -3*x**4 - x**3 - x**2 + x - 1. Let w(y) = 12*b(y) - t(y). Find m such that w(m) = 0.
-47, -1, 1, 3
Let g(f) be the first derivative of f**6/180 + 31*f**5/30 + 961*f**4/12 + 59*f**3/3 - 108. Let x(j) be the third derivative of g(j). Factor x(h).
2*(h + 31)**2
Let r(q) be the third derivative of -q**8/84 + 16*q**7/35 + 26*q**6/15 + 2*q**5/15 - 17*q**4/2 - 52*q**3/3 - 6*q**2 + 161. Factor r(x).
-4*(x - 26)*(x - 1)*(x + 1)**3
Let u = 200 + -198. Suppose 54*o**2 - 118*o**2 - 10*o + 59*o**u + 15 = 0. What is o?
-3, 1
Factor -76*t**4 + 1939346*t + 408*t**3 - 1938354*t - 944*t**2 - 113 + 4*t**5 - 271.
4*(t - 12)*(t - 2)**3*(t - 1)
Let f(b) = b**2 - 10*b - 36. Let j be f(13). Let m be (-16)/(-10) + j/(150/(-20)). What is w in -3/5*w**2 - m*w + 9/5 = 0?
-3, 1
Solve 80/3*r**4 - 266/3*r**3 + 40/3 + 370/3*r**2 - 8/3*r**5 - 208/3*r = 0.
1/2, 2, 5
Let y be (-5)/(-3) - 4*(-7)/21. Factor -18*v**y - 26*v**3 - 6*v - v**2 + 45*v**3.
v*(v - 3)*(v + 2)
Let s(p) be the second derivative of -p**4/42 - 16*p**3/21 + 80*p**2/7 + 2386*p. Solve s(d) = 0 for d.
-20, 4
Let x(l) be the second derivative of -l**5/3 + 46*l**4/3 - 24*l**3 - 14*l**2 - 31*l. Let y(k) be the first derivative of x(k). Factor y(c).
-4*(c - 18)*(5*c - 2)
Suppose -122*q = -123*q + 4. Suppose q = -9*r + 4. Solve 4/3*y - y**3 + 0 + 1/3*y**4 + r*y**2 = 0.
-1, 0, 2
Let p be (-869 - -870)/((-18)/81 - (-94)/18). Factor 0 + p*k**4 + 7/5*k**3 - 16/5*k + 8/5*k**2.
k*(k - 1)*(k + 4)**2/5
Let t(g) be the third derivative of 0 - 7*g**2 - 2*g + 2/315*g**7 + 1/45*g**6 - 1/45*g**5 - 1/9*g**4 + 0*g**3. Factor t(x).
4*x*(x - 1)*(x + 1)*(x + 2)/3
Let d be (-340 - 