5*y**2/4 + 9*y + 1621. Let m(j) = 0. What is j?
1, 2, 3, 9
Let w(i) be the first derivative of -51*i**4/4 - 71*i**3 + 219*i**2/2 + 45*i + 294. Determine y so that w(y) = 0.
-5, -3/17, 1
Suppose -20 - 95 = -23*m. Let c(w) be the second derivative of 16*w**2 + 0 + 1/15*w**6 - w + 32/3*w**3 + 4/5*w**m + 4*w**4. Find i such that c(i) = 0.
-2
Let q = 12654 + -12654. Let v(x) be the second derivative of 1/60*x**6 - 9*x + 1/8*x**4 + q*x**2 + 0 + 1/12*x**3 + 3/40*x**5. Suppose v(w) = 0. What is w?
-1, 0
Let c(x) = -x**2 + 15*x. Let s be c(15). Suppose 0*b = -3*b + 12. Factor -b*m**5 - 4*m**4 + 0*m**2 + 8*m**3 + 0*m**2 + s*m**2.
-4*m**3*(m - 1)*(m + 2)
Let f(h) = -17*h**2 - 2*h + 3. Let g(m) = m**3 + 2*m**2 - m. Let j(a) = f(a) - 5*g(a). Let o(c) = -c**3 - c**2 + c + 1. Let s(v) = j(v) - 3*o(v). Factor s(z).
-2*z**2*(z + 12)
Suppose 957*g - 942*g - 60 = 0. Let o(f) be the third derivative of 0 + 1/18*f**5 + 0*f - 11/36*f**g - 33*f**2 + 2/9*f**3. Factor o(m).
2*(m - 2)*(5*m - 1)/3
Let f(m) be the third derivative of 47*m - 1/20*m**4 + 1/20*m**5 + 0 + 0*m**3 - 2*m**2 - 1/50*m**6 + 1/350*m**7. Factor f(w).
3*w*(w - 2)*(w - 1)**2/5
Let o be 42/1071 - 606/(-153). Factor 9/7*w + 2/7*w**o + 2*w**2 + 9/7*w**3 + 2/7.
(w + 1)**2*(w + 2)*(2*w + 1)/7
Let -5*o**4 - 150 - 15*o**3 + 95*o + 75*o**2 + 3*o**3 + 4*o**3 - 5*o**3 - 2*o**3 = 0. What is o?
-5, -2, 1, 3
Suppose 1295 + 3*n**2 - 1898*n + 281 + 321 - 2*n**2 = 0. Calculate n.
1, 1897
Let s be ((-4)/(-30)*9)/(6/15). Suppose 3*a = 2*i - 4*i - 2, 5*i = s*a + 16. Let -2*n**i - 4 - 6 + 2*n**4 + 10 = 0. Calculate n.
-1, 0, 1
Suppose -4*m = -18*m - 46970. Let f be (-732)/m + 4/22. Factor 2/15*s**2 - 8/15*s + f.
2*(s - 3)*(s - 1)/15
Let s(b) = -6*b**2 - 18*b. Let r be s(13). Let h = -1243 - r. Factor p**2 + 0 + 0*p - 1/2*p**h - 5/2*p**3 + 2*p**4.
-p**2*(p - 2)*(p - 1)**2/2
Let q = 618 - -552. Solve 20*l**4 - 53*l**3 + 120*l**2 - 1202*l - 55*l**3 + q*l = 0 for l.
0, 2/5, 1, 4
What is w in 2/5*w**3 - 2/15*w**4 - 128/5*w + 124/15*w**2 + 256/15 = 0?
-8, 1, 2, 8
Let i(s) = -6*s**3 - 65*s**2 + 69*s - 20. Let f(d) = 11*d**3 + 124*d**2 - 139*d + 36. Let g(a) = -5*f(a) - 9*i(a). Solve g(k) = 0 for k.
-37, 0, 2
Let f(q) be the first derivative of 3*q**4/16 + 5*q**3/4 - 3*q**2/2 - 15*q - 7203. Factor f(r).
3*(r - 2)*(r + 2)*(r + 5)/4
Let x(h) = -h**2 + 258*h. Let u(p) = 2*p**2 - 256*p. Suppose 5*c + 15 = 0, 48*l + 2*c + 2 = 49*l. Let n(j) = l*u(j) - 3*x(j). Factor n(q).
-5*q*(q - 50)
Suppose 0 = -41*r - 120 + 489. Let c be (r/21)/((-68)/(-238)). Factor -5/2*n - 1 + 1/2*n**4 - c*n**2 + 1/2*n**3.
(n - 2)*(n + 1)**3/2
Let p be ((-15)/3 - -7) + 5855 + -9. Suppose -p*q + 5839*q = -18. Factor -2/7*m + 2/7*m**q - 4/7.
2*(m - 2)*(m + 1)/7
Let f(x) be the second derivative of -5*x**4/12 - 595*x**3/6 + 193*x. Find k, given that f(k) = 0.
-119, 0
Let x(f) = f**3 - 6*f**2 + 113*f - 208. Let z(j) = 3*j**3 - 24*j**2 + 453*j - 834. Let l = -111 + 96. Let v(b) = l*x(b) + 4*z(b). Factor v(k).
-3*(k - 3)**2*(k + 8)
Let c(b) be the third derivative of b**6/1080 + b**5/36 + 2*b**3/3 - b**2 - 2*b. Let k(l) be the first derivative of c(l). Solve k(f) = 0.
-10, 0
Suppose 2*v = 5*c + 63, 11*c = -v + 7*c - 1. Find b, given that -19*b**2 - 8*b - 25*b**2 + 16*b**4 + 10*b**2 - 9*b**4 - v*b**3 = 0.
-1, -2/7, 0, 4
Let p(v) be the second derivative of v**4/16 + 3*v**3/8 + 2408*v. Factor p(a).
3*a*(a + 3)/4
Let l(k) be the first derivative of 48/7*k - 6/7*k**2 - 4/7*k**3 + 121 + 3/28*k**4. Suppose l(a) = 0. What is a?
-2, 2, 4
Let p be -3*2 + 460/69 - (0/(-6) + -6). Suppose -p*d + 2/3*d**3 + 0 - 2*d**2 = 0. Calculate d.
-2, 0, 5
Let g(p) = 10*p - 13*p - 60*p**2 + 53*p**2 + 10. Let m(u) = 13*u**2 + 5*u - 19. Let o(j) = 6*j + 1. Let q be o(-2). Let v(k) = q*g(k) - 6*m(k). Factor v(a).
-(a - 4)*(a + 1)
Let j(w) be the second derivative of -5*w**4/12 + 225*w**3 - 1345*w**2/2 + 19*w + 11. Find z such that j(z) = 0.
1, 269
Suppose 3478 - 3636 = -79*c. Let -12*w**c + 7/2*w**3 + 49/4 - 1/4*w**4 - 7/2*w = 0. What is w?
-1, 1, 7
Let d(w) = w**3 + 7*w**2 - 12*w + 17. Let z be d(-7). Let m be (z - 96) + (-32)/(-10) + -1. Factor 162/5 + m*k + 2/5*k**2.
2*(k + 9)**2/5
Let f(w) = 6*w**2 - 61*w. Let c(t) = -4*t**2 + 41*t. Let b be (20/50)/(6/(-105)). Let k(u) = b*c(u) - 5*f(u). Solve k(l) = 0.
0, 9
Let s(o) be the third derivative of -o**5/60 - 23*o**4/12 - 143*o**3/2 - 5007*o**2. Factor s(f).
-(f + 13)*(f + 33)
Let q(x) = -9*x**3 + 4*x**2 + 2*x + 3. Let f be q(-3). Factor 0*s**4 - 50*s**3 - 2*s**4 - f*s**2 - 288*s - 60*s**2.
-2*s*(s + 1)*(s + 12)**2
Suppose 0 = 6*w - 54, 3*u - 4*w + 2*w = -18. Factor -1/11*o**3 - 5/11*o + u - 6/11*o**2.
-o*(o + 1)*(o + 5)/11
Let k(i) = 17*i + 157. Let d be k(-9). Factor -d*l - 10*l**4 + 5 + 0*l**2 + 11*l**4 + 4*l**3 - 6*l**2.
(l - 1)**2*(l + 1)*(l + 5)
Let z(a) be the first derivative of 15*a**4/16 + 14*a**3/3 - 5*a**2/2 - 4*a + 971. Factor z(q).
(q + 4)*(3*q - 2)*(5*q + 2)/4
Let g be (5/(-10))/(1/(-4)). Suppose 0 = -22*a + 35 + 163. Solve a*o**2 + 19*o**g - 4*o**4 + 4 + 4*o**3 + 44*o + 8*o**2 + 12 = 0.
-1, 4
Factor 10168/7*j - 4/7*j**2 - 6461764/7.
-4*(j - 1271)**2/7
Solve -24*u**3 + 376996 + 8*u**3 - 39080*u - 2452*u**2 + 12*u**3 - 335460*u + 0*u**3 = 0.
-307, 1
Let h(d) be the first derivative of 2*d**5/5 + 2*d**4 - 58*d**3/3 + 24*d**2 + 1014. Factor h(o).
2*o*(o - 3)*(o - 1)*(o + 8)
Let y be ((-2284)/(-8)*-17)/((-27315)/18). Let b = y + 1/607. Factor 2/5*p**3 - 2*p**2 - 8/5 + b*p.
2*(p - 2)**2*(p - 1)/5
Let v(r) be the second derivative of -29*r**3 - 1/8*r**4 - 2*r - 2523*r**2 + 21. Let v(w) = 0. Calculate w.
-58
Let z(r) be the third derivative of -7/270*r**5 + 1/9*r**4 + 16*r**2 + 0 + 1/540*r**6 - 4*r + 0*r**3. Factor z(l).
2*l*(l - 4)*(l - 3)/9
Let m(n) be the second derivative of -22*n**6/25 + 377*n**5/40 - 1841*n**4/120 + 52*n**3/15 + 3*n**2/5 + 7*n - 82. Suppose m(c) = 0. Calculate c.
-1/24, 2/11, 1, 6
What is a in -4/5*a**4 - 72/5*a**3 + 0 + 4/5*a**5 - 32*a + 208/5*a**2 = 0?
-5, 0, 2
Let d = -40328843651/35938996984 + 3/12817046. Let x = 2/701 - d. Factor 1/8*r**3 + 27/8*r + 27/8 + x*r**2.
(r + 3)**3/8
Let p(w) = 10*w**5 - 40*w**4 - 135*w**3 - 70*w**2 - 10*w. Let f(j) = 15*j**5 - 61*j**4 - 202*j**3 - 105*j**2 - 14*j. Let r(b) = 5*f(b) - 7*p(b). Factor r(s).
5*s**2*(s - 7)*(s + 1)**2
Let h(z) be the second derivative of z**5/10 - 25*z**4/8 - 187*z**3/12 - 21*z**2/2 - 1432*z. Find v, given that h(v) = 0.
-2, -1/4, 21
What is z in -4/15 - 38332/15*z**5 + 102/5*z + 12034/15*z**3 + 2146*z**4 - 6194/15*z**2 = 0?
-1/2, 1/37, 2/7, 1
Factor -44/3*o**3 + 41/3*o**2 + 86/3*o + 0 + 1/3*o**4.
o*(o - 43)*(o - 2)*(o + 1)/3
Suppose 2*p = -f - 2*p + 1030, -p - 5213 = -5*f. Let r = f - 1038. Suppose -1/2*n**r + 1/2*n**2 + 1/2*n**3 + 0*n - 1/2*n**5 + 0 = 0. Calculate n.
-1, 0, 1
Let g(y) be the second derivative of -y**5/12 + 145*y**4/36 - 15*y**3 + 227*y. Determine h so that g(h) = 0.
0, 2, 27
Let 89*w**4 + 54*w**4 - 2*w**5 - 16*w**4 + 6*w**5 + 5*w**4 = 0. What is w?
-33, 0
Let n(b) = b**2 - b + 1. Let l(q) = -166*q + 6*q**2 + q**4 + 176*q + 6*q**3 - 6 + 6*q**3 + 3*q**4. Let k(h) = l(h) + 6*n(h). Factor k(i).
4*i*(i + 1)**3
Let j = -84 - -605. Let x = j - 516. Factor 0 + 5/4*t**2 - x*t.
5*t*(t - 4)/4
Let p(y) be the first derivative of 154*y**5/75 - 79*y**4/30 + 4*y**3/45 - 747. Solve p(d) = 0.
0, 2/77, 1
Let h be -1*(-13)/(-546)*-12. Factor -h*l**2 - 20/7*l - 18/7.
-2*(l + 1)*(l + 9)/7
Let l(h) be the third derivative of h**6/24 + 62*h**5/3 - 5*h**4/24 - 620*h**3/3 + 562*h**2. Factor l(z).
5*(z - 1)*(z + 1)*(z + 248)
Let t(m) = 73*m**2 + 2358*m + 1394761. Let r(y) = 128*y**2 + 4717*y + 2789522. Let a(u) = 4*r(u) - 7*t(u). Solve a(d) = 0 for d.
-1181
Suppose 3*x = 6*x + 3*z - 21, 2*z - 26 = -5*x. Let g(b) = -5*b**2 + 57*b - 56. Let y(v) = 5*v**2 - 55*v + 55. Let l(h) = x*y(h) + 5*g(h). Factor l(o).
-5*(o - 12)*(o - 1)
Find k, given that 9/7*k**5 + 0*k + 2760*k**3 + 831/7*k**4 + 6348/7*k**2 + 0 = 0.
-46, -1/3, 0
Suppose 122*o + 488 = 183*o. Let t(b) be the third derivative of 0*b**3 + 0*b**4 + 0*b**5 - 1/540*b**6 + 0*b + 0 + 0*b**7 - 22*b**2 + 1/1512*b**o. Factor t(d).
2*d**3*(d - 1)*(d + 1)/9
Let k(f) be the first derivative of -f**5/360 - f**4/72 - f**3/36 + f**2/2 - f - 88. Let a(p) be the second derivative of k(p). Factor a(c).
-(c + 1)**2/6
Le