t - 184*b + 57*b**4 + 200*b**2 - 8*b**3 - 52*b**4 - 40*b**2 = 0.
1, 3, 5
Suppose 3*y - 28*y + 1 + 81 = 16*y. Factor 0 - 8/11*h + 10/11*h**y - 2/11*h**3.
-2*h*(h - 4)*(h - 1)/11
Let o(l) = 4*l**3 - 64*l**2 - 33*l + 528. Let r be o(16). Factor -h**2 + 0*h + 1/2*h**3 + r.
h**2*(h - 2)/2
Let p(r) be the third derivative of 0*r**4 + 1/105*r**7 + 7 + 0*r**5 + 0*r**6 + 2*r**2 - 1/168*r**8 + 0*r + 0*r**3. Factor p(k).
-2*k**4*(k - 1)
Let o(g) be the first derivative of -g**6/17 + 26*g**5/85 - 3*g**4/34 - 22*g**3/17 + 10*g**2/17 + 48*g/17 - 1346. What is i in o(i) = 0?
-1, 4/3, 2, 3
Find w, given that 220*w - 284*w**2 - 2927*w - 671*w + 282*w**2 = 0.
-1689, 0
Let m(n) be the third derivative of n**7/3360 + 7*n**6/240 - 43*n**5/480 + 203*n**3/6 + 78*n**2 - 2. Let c(d) be the first derivative of m(d). Factor c(g).
g*(g - 1)*(g + 43)/4
Let z(u) be the second derivative of -u**6/270 - u**5/9 - 59*u**4/54 - 10*u**3/3 - 9*u**2/2 - 6114*u. Determine i, given that z(i) = 0.
-9, -1
Suppose 618 = 5*h + 2*g, -3*h = -g + 2*g - 370. Let n = h + -100. Factor 19*a**3 - a**5 + n*a**3 - 34*a**3 - 2*a**4 + 12*a + 20*a**2.
-a*(a - 3)*(a + 1)*(a + 2)**2
Let r(h) = -7*h**3 - 70*h**2 - 18*h - 175. Let i be r(-10). Let v be -1*(-34 + (-1)/(-1)). Solve -73*x - 58 - 22 - i*x**2 + v*x = 0.
-4
Let p(w) be the first derivative of 108*w**5/5 - 1521*w**4 + 28172*w**3 + 18530*w**2 - 115600*w + 1188. Suppose p(u) = 0. Calculate u.
-4/3, 1, 85/3
Let x(r) = r**3 - 16*r**2 + 14*r + 19. Let y be x(15). Factor -4*j**3 - 239*j**4 + j + 3*j**5 - 2*j**2 + 120*j**y + 121*j**4.
j*(j - 1)*(j + 1)**2*(3*j - 1)
Let q(w) be the third derivative of w**7/2940 + 2*w**6/315 - w**5/420 - 2*w**4/21 + 29*w**3/2 - 62*w**2. Let t(b) be the first derivative of q(b). Factor t(j).
2*(j - 1)*(j + 1)*(j + 8)/7
Let n = -30/107 + 921/2140. Let i(u) be the second derivative of -1/10*u**6 - 4*u - 1/12*u**4 + 0 + 0*u**3 - n*u**5 - 1/42*u**7 + 0*u**2. Factor i(a).
-a**2*(a + 1)**3
Suppose 86 = k + k. Let n be -3 + k/5 + (-8)/(-20). Determine m, given that 1 + n*m**2 - 5 - 4 - 4*m**2 = 0.
-2, 2
Let d = -467 + 470. Factor 4*u**4 - u**2 + 2*u**5 - u**5 - 2 + d*u**2 - 4*u**2 + 4*u**3 - 5*u.
(u - 1)*(u + 1)**3*(u + 2)
Let p(y) be the first derivative of -4*y**3/15 - 64*y**2/5 + 132*y/5 + 366. Factor p(r).
-4*(r - 1)*(r + 33)/5
Determine m so that 0 + 403/4*m**2 + 101*m - 1/4*m**3 = 0.
-1, 0, 404
Suppose -4*m - 3822 + 3849 = -5*h, -4*h - 2*m + 46 = 0. Determine r, given that -226/5*r**4 - 176/5*r**2 - 374/5*r**3 - 8*r**h - 24/5*r + 0 = 0.
-3, -2, -2/5, -1/4, 0
Let b = 1368 - 1365. Let x be (3 - b)/(10/(5/(-1))). Suppose 2/15*m**5 + 4/15*m**2 + 0 + x*m + 8/15*m**4 + 2/3*m**3 = 0. Calculate m.
-2, -1, 0
Let c(l) = 12*l**3 + 383*l**2 - 41*l - 286. Let m be c(-32). Let m*h**2 + 2*h**4 + 0 - 4/3*h**5 + 0*h + 16/3*h**3 = 0. Calculate h.
-1, -1/2, 0, 3
Let h = -161 - -165. Factor 50*y + h*y**2 - 21*y - 15*y - 6 - 13*y + y**3.
(y - 1)*(y + 2)*(y + 3)
Determine c, given that -301/2*c - 1/4*c**2 - 90601/4 = 0.
-301
Suppose -28 = 9*a - 10. Let h be (-1 - a) + (-1 - 4 - -6). Factor -4*k + 8 + 1/2*k**h.
(k - 4)**2/2
Factor -3146/7 + 18/7*k**2 - 330/7*k + 2/7*k**3.
2*(k - 13)*(k + 11)**2/7
Let g be (-1 + 1 + 6)*(-10438)/(-31314). Solve -10/3*k**g + 16*k + 2/9*k**3 - 24 = 0 for k.
3, 6
Factor 0 + 0*x**2 - 3/7*x**5 + 12/7*x**4 + 36/7*x**3 + 0*x.
-3*x**3*(x - 6)*(x + 2)/7
Find n such that 56 + 21/2*n**4 - 144*n - 1/2*n**5 - 58*n**3 + 136*n**2 = 0.
1, 2, 14
Let g(w) be the first derivative of -3/5*w**5 + 69/7*w**3 + 180/7*w - 45/14*w**4 - 243 + 348/7*w**2. Let g(j) = 0. What is j?
-5, -2, -2/7, 3
Let k(h) be the third derivative of -h**6/120 + 13*h**5/60 + 163*h**4/12 + 52*h**3 - 123*h**2 + 3*h. Factor k(v).
-(v - 26)*(v + 1)*(v + 12)
Factor -420*u**2 + 81/5*u**3 + 14896/5*u - 1/5*u**4 + 65856/5.
-(u - 28)**3*(u + 3)/5
Let q be (-5)/(-3) + (-2)/(-6). Let -44*o - 22*o**3 + 46*o + 4*o**q + 24*o**3 = 0. Calculate o.
-1, 0
Let x(j) be the first derivative of 3/5*j**3 + 114/5*j - 25 + 177/10*j**2. Factor x(w).
3*(w + 19)*(3*w + 2)/5
Determine g, given that 439 + 137 - 46*g**2 - 42*g**2 + 101*g**2 - 198*g - 11*g**2 = 0.
3, 96
Let w be (-10 - -4)/(29/(-31)) + -6. Let c = 89/145 - w. Suppose -1/5*g**3 - 2/5*g**2 + 0 - c*g = 0. Calculate g.
-1, 0
Let t(c) be the third derivative of -c**5/48 - 25*c**4/96 + 5*c**3/4 - 2*c**2 - 92*c - 7. Let t(n) = 0. Calculate n.
-6, 1
Let l(j) be the second derivative of 2/55*j**6 + 6/55*j**5 + 99*j + 1/11*j**3 + 1/231*j**7 + 0*j**2 + 0 + 5/33*j**4. Factor l(p).
2*p*(p + 1)**3*(p + 3)/11
Let v(j) be the second derivative of j**5/15 + 79*j**4/27 + 152*j**3/27 + 110*j - 3. Find z such that v(z) = 0.
-76/3, -1, 0
Suppose 44 = 34*i - 48 - 10. Let r(y) be the first derivative of 0*y - 15 + 0*y**4 + 5/6*y**i + 5/8*y**2 - 5/24*y**6 - 1/2*y**5. Factor r(k).
-5*k*(k - 1)*(k + 1)**3/4
Factor -4794/11*c + 192/11*c**2 - 2/11*c**3 + 8836/11.
-2*(c - 47)**2*(c - 2)/11
Determine h so that 0 + 0*h**2 - 1/5*h**4 - 1/10*h**5 - 1/10*h**3 + 0*h = 0.
-1, 0
Let b(o) = -o**3 + 9*o**2 + 2*o**3 + 15 - 10*o**2 - 4*o. Let i be b(0). Determine l so that -i - 422*l**2 - 12*l - 2942*l**2 - 1 - 452*l = 0.
-2/29
Let h = -5 - -6. Let i be 2 - (h - (6 + -3)). Factor -9*u**3 - 21*u - i*u + 5 + 40*u**2 - 11*u**3.
-5*(u - 1)*(2*u - 1)**2
Let v(i) be the first derivative of -i**4/12 - 2*i**3/9 + i**2/6 + 2*i/3 - 228. Find o such that v(o) = 0.
-2, -1, 1
Factor 2/7*g**5 + 104/7*g**2 + 20/7 + 74/7*g + 20/7*g**4 + 68/7*g**3.
2*(g + 1)**3*(g + 2)*(g + 5)/7
Let w(r) = -7*r**3 + 9*r**2 - 13*r + 3. Let i(g) = 16*g**3 - 19*g**2 + 26*g - 5. Suppose 14*a + 18 = 16*a. Let y(x) = a*w(x) + 4*i(x). Factor y(l).
(l - 1)**2*(l + 7)
Suppose 3/8*g**4 - 2940*g + 84*g**2 + 69/4*g**3 + 0 = 0. What is g?
-28, 0, 10
Let t(o) = -o**2 - 72*o + 154. Let k(b) = -2*b**2 - 76*b + 156. Let s(r) = 5*k(r) - 6*t(r). What is q in s(q) = 0?
4, 9
Suppose -2*a + 8 = 5*p, 3*p - 7 = -5*a + 6*a. Suppose 5*u - 3*h = 72, 0*u = p*u - 3*h - 27. Factor 13*l**2 - 148*l + 51 + 196*l + l**3 - u.
(l + 1)*(l + 6)**2
Suppose -7*a = -3*a. Suppose -74*b + 224 = 23*b - 67. Let -33/4*r**2 + 9/4*r + a - 15/4*r**4 + 39/4*r**b = 0. Calculate r.
0, 3/5, 1
Let k(l) = 3*l**3 - 2*l**2 + 9*l - 8. Let x be k(1). Determine j so that -1 - 2*j - 1/4*j**3 - 5/4*j**x = 0.
-2, -1
Suppose 136*s = 134*s + 8 - 2. Suppose 2/21*j**4 - 10/21*j - 4/21 + 2/21*j**s - 2/7*j**2 = 0. What is j?
-1, 2
Let o(g) be the first derivative of 16/15*g**3 + 4*g - 55 + 1/10*g**4 + 17/5*g**2. Factor o(b).
2*(b + 1)*(b + 2)*(b + 5)/5
Factor 0 + 0*t - 1/4*t**4 + 7/2*t**3 + 15/4*t**2.
-t**2*(t - 15)*(t + 1)/4
Let g(a) be the first derivative of 3*a**4/4 - 29*a**3 + 234*a**2 + 2268*a - 665. Factor g(l).
3*(l - 18)*(l - 14)*(l + 3)
Let i(d) be the second derivative of d**7/5880 - d**6/168 + 5*d**5/56 - d**4/12 - 5*d**3/3 + 26*d. Let y(b) be the third derivative of i(b). Factor y(m).
3*(m - 5)**2/7
Let b = 1215715 - 1215713. Factor -2/15*k**b - 34/5 - 104/15*k.
-2*(k + 1)*(k + 51)/15
Let f(z) be the third derivative of -z**6/300 + 16*z**5/15 + 161*z**4/60 + 2067*z**2. Factor f(g).
-2*g*(g - 161)*(g + 1)/5
Suppose 25 = 26*k - 21*k, -4*p - 2*k + 4330 = 0. Let t = -1080 + p. Solve 0 + 10/17*c**4 - 18/17*c**2 + t*c + 6/17*c**3 + 2/17*c**5 = 0.
-3, 0, 1
Let b(w) be the first derivative of 2*w**6/3 - 200*w**5 - 1010*w**4 - 6080*w**3/3 - 2030*w**2 - 1016*w - 1549. Factor b(q).
4*(q - 254)*(q + 1)**4
Let -1/2*b**3 - 1/2*b**2 + 17/2*b - 15/2 = 0. What is b?
-5, 1, 3
Let f = -66798 - -267207/4. Factor 5/4*y**3 - 5*y**2 + 45/2 - f*y.
5*(y - 3)**2*(y + 2)/4
Factor 0 - 144/5*o - 2/5*o**2.
-2*o*(o + 72)/5
Let x(y) be the second derivative of 2*y**5/75 + 1259*y**4/30 + 19824*y**3 + 222784*y**2/15 - 9*y + 2. Determine l so that x(l) = 0.
-472, -1/4
Let i(b) be the second derivative of -b**7/504 + b**5/24 - b**4 + b**3/6 - 122*b. Let u(m) be the third derivative of i(m). Factor u(s).
-5*(s - 1)*(s + 1)
Let w be ((-2)/(-180 - 2))/((-182)/(-84)). Let y = w + 94622/3549. Factor -y*a - 4*a**2 + 28/3.
-4*(a + 7)*(3*a - 1)/3
Suppose -5*p - 2*l = -436, -323 - 110 = -5*p - l. Factor -4*d + 0 - p*d + 5 - 5 + 5*d**2.
5*d*(d - 18)
Let d(b) be the third derivative of -b**7/315 + 11*b**6/180 - 2*b**5/5 + 4*b**4/9 + 64*b**3/9 + 2*b**2 - 516. Factor d(p).
-2*(p - 4)**3*(p + 1)/