 - 9*x**2 + x + g*x + 15*x**3 = 0?
-3, -2/5, 0
Let y(o) be the second derivative of -o**6/105 - o**5/14 - 2*o**4/21 + 22*o - 15. Let y(q) = 0. What is q?
-4, -1, 0
Suppose 207 = -4*w - 4*r + 155, 5*r = 3*w - 81. Factor -544*q**w - 16*q - 2/17.
-2*(68*q + 1)**2/17
Let z(s) = 269*s + 2156. Let m be z(-8). Let u(d) be the second derivative of -8*d + 1/30*d**5 - 7/9*d**3 - 4/3*d**2 + 0 - 1/9*d**m. Let u(n) = 0. What is n?
-1, 4
Let q(m) be the second derivative of -m**6/180 + 19*m**5/90 - 177*m**2/2 - 220*m. Let b(k) be the first derivative of q(k). Find x such that b(x) = 0.
0, 19
Let d(t) be the first derivative of 363*t**5/10 + 5973*t**4/4 + 30517*t**3/2 - 27693*t**2 + 15606*t + 934. Find i, given that d(i) = 0.
-17, 6/11
Suppose 37*x = 45*x - 24. Suppose -6*l - 6 = 3*c - x*l, 6 = 3*c - l. Determine t so that -1/2*t**2 + 3/2*t - c = 0.
1, 2
Suppose 0 = 9*k + 2*g - 2, 115*g = -4*k + 116*g - 1. Factor 4*z**3 + 0 + 0*z**2 + k*z - 1/2*z**4.
-z**3*(z - 8)/2
Let y be (((-1)/2)/1*5)/(365*(-268)/860816). Factor 2/3*n**2 + y + 28/3*n.
2*(n + 3)*(n + 11)/3
Let y(x) be the first derivative of -x**5/10 + 5*x**4/16 + x**3/2 - 9*x**2/8 + 8609. Find r such that y(r) = 0.
-3/2, 0, 1, 3
Let j = -123 + 495/4. Let d = 6277/52 + -1540/13. Factor 3*u + 0 - d*u**3 - j*u**4 + 0*u**2.
-3*u*(u - 1)*(u + 2)**2/4
Let n = -736503/13 - -56657. Find w, given that 0 - 18/13*w - 22/13*w**3 - n*w**2 - 2/13*w**4 = 0.
-9, -1, 0
Suppose -14 - 19 = -3*q. Factor -6 - 40*t**2 - 36*t + 12*t**3 + 0 + 11 + q.
4*(t - 4)*(t + 1)*(3*t - 1)
Let v(t) be the second derivative of -t**6/30 + 6*t**5/5 + 235*t**4/12 + 109*t**3 + 288*t**2 - 193*t - 4. Factor v(n).
-(n - 32)*(n + 2)*(n + 3)**2
Let b(p) = -p**3 - 136*p**2 + 275*p - 194. Let y(i) = -66*i**2 + 138*i - 96. Let t(l) = -3*b(l) + 7*y(l). Factor t(v).
3*(v - 15)*(v - 2)*(v - 1)
Let w be (16/(-364))/(131/(-1291136)). Factor 512/13*l**4 + 23232/13*l**2 + 29282/13 + w*l**3 + 42592/13*l.
2*(4*l + 11)**4/13
Let c(m) be the third derivative of 0*m + 1/24*m**6 + 1/1008*m**8 - 217*m**2 - 7/180*m**5 + 0*m**3 + 0*m**4 - 1/70*m**7 + 0. Factor c(p).
p**2*(p - 7)*(p - 1)**2/3
Let q(v) be the first derivative of -237 - 1010/7*v**2 - 508/3*v**3 - 7/4*v**4 - 288/7*v. Factor q(o).
-(o + 72)*(7*o + 2)**2/7
Let w(b) be the third derivative of 99*b**7/70 - 89*b**6/6 + 296*b**5/5 - 98*b**4 - 8*b**3/3 - b**2 - 1446*b. Factor w(n).
(n - 2)**3*(297*n + 2)
Let r be 3/(-2)*-1*(-144)/(-54). Find w such that 13*w**2 - 32 - 26*w**2 + 11*w**2 + r*w**2 = 0.
-4, 4
Let q be 8/(-18*6/(-18))*1/16. Let h(y) be the third derivative of 0*y + 5/3*y**3 + 5/8*y**4 + 0 + 16*y**2 + q*y**5. Factor h(k).
5*(k + 1)*(k + 2)
Factor -8777/2*c + 1/8*c**4 + 18489/8*c**2 - 135/4*c**3 - 13467/2.
(c - 134)**2*(c - 3)*(c + 1)/8
Let v(g) be the second derivative of g**5/120 + 287*g**4/24 + 82369*g**3/12 + 23639903*g**2/12 + 1688*g. Factor v(s).
(s + 287)**3/6
Let z(n) be the second derivative of n**4/12 + 4*n**3/3 - 5*n**2/2 - n. Let f be z(-9). Factor -6*y**4 - y**5 + 8*y**f - 2*y**2 - 6*y**4 - 5*y**3.
-y**2*(y + 1)**2*(y + 2)
Let m be (-5 + 6)/((-2)/14). Let o be -3*(m + 8)*-1. Factor -4/5*w**o + 12/5 - 28/5*w + 4*w**2.
-4*(w - 3)*(w - 1)**2/5
Let a(v) = -12*v**3 + 13*v**2 - 11*v. Let p(i) = -2*i**2 - 3*i**2 + 6*i**2 + 6*i + 5*i**3 - 8*i**2. Let y(z) = -2*a(z) - 5*p(z). Factor y(w).
-w*(w - 8)*(w - 1)
Let -96 + 14/3*n**2 - 2/9*n**3 - 16*n = 0. Calculate n.
-3, 12
Let z(s) be the third derivative of 2*s**6/3 + 323*s**5/12 + 2075*s**4/6 + 250*s**3 - 10518*s**2. Suppose z(m) = 0. What is m?
-10, -3/16
Let s(n) = 3*n**4 - 683*n**3 - 1363*n**2 - 685*n - 6. Let v(i) = 3*i**4 - 687*i**3 - 1365*i**2 - 687*i - 9. Let w(y) = 3*s(y) - 2*v(y). Factor w(u).
3*u*(u - 227)*(u + 1)**2
Find t, given that 0 + 168/5*t**4 + 0*t + 1/5*t**2 + 144/5*t**5 + 5*t**3 = 0.
-1, -1/12, 0
Let k be (35/15 - 2)*(4 - 3). Let v(z) be the second derivative of 4/3*z**3 + 0 + 13*z - k*z**4 - 2*z**2. What is d in v(d) = 0?
1
Let v(o) be the first derivative of -o**6/3 + 8*o**5/5 - 32*o**3/3 + 16*o**2 + 655. Factor v(p).
-2*p*(p - 2)**3*(p + 2)
Suppose 3*i = -3*p + 24, -106*p + 4 = 8*i - 110*p. Factor -3/2*l + 0 - 3/2*l**4 + 3/2*l**i + 3/2*l**2.
-3*l*(l - 1)**2*(l + 1)/2
Let z(o) = 4*o**2 + 2*o - 4. Let b = -63 - -65. Let j be z(b). Factor j*l**2 - 15*l**2 + 4*l**3 - 2*l**3.
l**2*(2*l + 1)
Let y(p) = 4*p**2 - 14*p - 50. Let i(b) = -216*b + 3 - 2 + 215*b. Let h(n) = -2*i(n) - y(n). Factor h(v).
-4*(v - 6)*(v + 2)
Let n(k) be the second derivative of 1/70*k**5 - 10 + 5*k + 0*k**3 + 1/14*k**4 - 4/7*k**2. Suppose n(j) = 0. What is j?
-2, 1
Let 0 + 46/3*y**3 + 130/3*y**2 + 28*y = 0. What is y?
-42/23, -1, 0
Suppose -2*z + z + 12 = g, -2*g + z + 12 = 0. Suppose k + 35 = g*k. Find d such that k*d**3 - 3*d**4 + 0*d**3 - 2*d**4 = 0.
0, 1
Let g(w) = 5*w**2 - 27*w + 29. Let i be g(5). Suppose 4*s = -12, c - 4*s = -4 + i. Find v such that 8*v**2 + 0 + 7/2*v**c + 2*v = 0.
-2, -2/7, 0
Let k(f) be the first derivative of -f**8/2520 - f**7/315 - f**6/180 - 62*f**3/3 + 2*f - 276. Let y(m) be the third derivative of k(m). Solve y(r) = 0 for r.
-3, -1, 0
Let h(a) = -4*a**2 + 91*a - 865. Let r(n) = 9*n**2 - 185*n + 1731. Let z(m) = 11*h(m) + 5*r(m). Factor z(p).
(p - 10)*(p + 86)
Let h(o) be the third derivative of o**5/90 - 133*o**4/12 - 144*o**2 - o + 2. Factor h(y).
2*y*(y - 399)/3
Let v(a) be the second derivative of 3*a**5/20 + 55*a**4/2 + 213*a**3/2 - 486*a**2 - 2791*a. Factor v(r).
3*(r - 1)*(r + 3)*(r + 108)
Let y be 146/(-292) + (-1 - -3)/2. Let a(s) be the first derivative of -y*s**4 + s**3 - 1/5*s**5 + 2*s**2 - 4*s - 24. Factor a(t).
-(t - 1)**2*(t + 2)**2
Let 0*r + 366/7*r**3 - 724/7*r**2 - 2/7*r**4 + 0 = 0. Calculate r.
0, 2, 181
Factor 912328 + 20*a**2 + 258396 + 17*a**2 - 33*a**2 + 4328*a.
4*(a + 541)**2
Suppose -8 = -75*w + 71*w. Suppose -2*f - 8 = -w*k, 2*f = -4*k - 2*f + 16. Factor -3*d**3 - 5*d - k*d + 4 + 8*d**2 + d**3 - d.
-2*(d - 2)*(d - 1)**2
Let t(c) = 5*c**2 - 38*c + 19. Let u be t(7). Let i be (0 - (-11)/(-22))/u. Factor i*h**2 + 1/4*h + 0.
h*(h + 1)/4
Let d = -1094759/45 - -24329. Let w(q) be the first derivative of -13 - 7/30*q**4 - d*q**3 - 8/15*q - 4/3*q**2. Solve w(h) = 0.
-2, -1, -2/7
Suppose -19*u**2 + 6*u**2 - 1090*u + 4*u**3 + 83*u**2 + 638 - 222*u = 0. Calculate u.
-29, 1/2, 11
Find o such that 19*o**2 + 188*o**2 - 212*o**2 + 565*o = 0.
0, 113
Factor 38 + 77/2*u + 1/2*u**2.
(u + 1)*(u + 76)/2
Let p(n) be the second derivative of n**7 - 64*n**6/15 + 251*n**5/35 - 6*n**4 + 55*n**3/21 - 4*n**2/7 - 1702*n. Suppose p(y) = 0. Calculate y.
1/7, 1/3, 4/7, 1
Let a be (1107/243)/((-2)/(-6)) + 1/3. Let j(o) be the first derivative of 0*o**2 + 0*o + a + 5/3*o**3 - 5/4*o**4. Factor j(u).
-5*u**2*(u - 1)
Suppose 2*c + u + 2 = -2*u, -2*c - u - 2 = 0. Let d be (-24)/60*c/(-13)*-15. Let 6/13*t**2 + d + 20/13*t = 0. What is t?
-3, -1/3
Let q(c) be the third derivative of -c**7/504 + c**6/48 + c**5/6 + 25*c**4/24 - c**3/3 + 86*c**2 - c. Let v(h) be the second derivative of q(h). Factor v(o).
-5*(o - 4)*(o + 1)
Factor -56*n**2 - 62*n**3 + 126*n**3 - 216*n - 62*n**3 + 4*n**4 + 100*n**2 - 164*n**2.
2*n*(n - 6)*(n + 2)*(2*n + 9)
Let q be (-32 - -24)/(1/(26/(-4))). Factor -25*l - 60*l**3 + 96*l**2 + 5*l + 36*l**4 - q*l**4.
-4*l*(l - 1)*(l + 5)*(4*l - 1)
Factor 212812 - 940*m - 299*m**2 - 161*m**2 + 5*m**3 - 212812.
5*m*(m - 94)*(m + 2)
Let h = 7165 - 50151/7. Find s such that h - 3/7*s**2 - 1/7*s**4 - 5/7*s**3 + 5/7*s = 0.
-4, -1, 1
Let y(h) be the third derivative of -h**7/42 + 11*h**6/4 + 124*h**5/3 + 905*h**4/4 + 1095*h**3/2 + 704*h**2. Factor y(d).
-5*(d - 73)*(d + 1)*(d + 3)**2
Let o(c) be the third derivative of -c**7/105 - 49*c**6/30 - 407*c**5/10 + 14455*c**4/3 - 348100*c**3/3 + 235*c**2. Factor o(m).
-2*(m - 10)**2*(m + 59)**2
Let x = 286367 + -2577301/9. Factor x*h**2 + 32/9*h + 10/3.
2*(h + 1)*(h + 15)/9
Let h(d) be the first derivative of -d**4/4 + 4*d**3 + 61*d**2/2 + 48*d + 2570. Factor h(n).
-(n - 16)*(n + 1)*(n + 3)
Let l(g) be the third derivative of 2*g**5/135 + 5*g**4/18 + 14*g**3/27 + g**2 - 585*g - 1. Let l(s) = 0. What is s?
-7, -1/2
Let k be (-23 + 23)*(-16)/(-64). Let j(b) be the third derivative of 1/15*b**5 - 29*b**2 + k*b**3 + 0 - 1/15*b**7 + 1/12*b**6 + 0*b + 0*b**4. Solve j(y) = 0.
-2/7, 0, 1
Let b = 1244