16*c - 455. Find w, given that f(w) = 0.
2, 29
Suppose 2*x + 36 = 120. Let v = -26 + x. Factor -y + 32*y - 5*y**3 - 3*y + v + y**3 + 8*y**2.
-4*(y - 4)*(y + 1)**2
Let j(o) = -o**3 + 13*o**2 + 11*o + 48. Let r be j(14). Let a be 4/r*(-2 - -4). Factor 0*y - 1/3*y**3 + y**2 - a.
-(y - 2)**2*(y + 1)/3
Let d(z) = -75*z**4 + 1033*z**3 - 1297*z**2 + 367*z. Let y(w) = 25*w**4 - 343*w**3 + 432*w**2 - 122*w. Let f(k) = 2*d(k) + 7*y(k). Determine q so that f(q) = 0.
0, 2/5, 1, 12
Let f be (4760/24)/(-17) + 13. Let b(c) be the first derivative of 8*c + 8 - 6*c**2 + f*c**3. Factor b(t).
4*(t - 2)*(t - 1)
Find w, given that 5*w**3 - 4050 + 66*w**2 + 54*w**2 + 43038*w - 44073*w = 0.
-30, -3, 9
Let y(p) = -p**2 - p + 6. Let j(w) = -2*w**2 - 2*w + 13. Let s(l) = 2*j(l) - 5*y(l). Let n be s(-3). Factor -5*m**3 - 67*m**2 + m + m**4 - 4*m + 74*m**n.
m*(m - 3)*(m - 1)**2
Let g be (-2)/10 - 4/(-20). Let v be 8505/1890*(16/(-10))/(-4). Solve -3/5*i**5 + 12/5*i**3 - v*i - 6/5 + g*i**4 + 6/5*i**2 = 0.
-1, 1, 2
Let c(u) = 2*u**3 - 7*u**2 + 4*u - 26. Let j be c(4). Let y be 9/j*((-70)/(-7) - 8). Let 0 + 2/7*w**2 + 0*w + 1/7*w**5 - 3/7*w**y + 0*w**4 = 0. What is w?
-2, 0, 1
Let f(z) be the second derivative of z**6/60 + 17*z**5/5 + 67*z**4/4 + 100*z**3/3 + 133*z**2/4 - 16*z + 4. Suppose f(v) = 0. Calculate v.
-133, -1
Let c = 220348 + -220346. Factor -1/2*h + h**c + 1/2*h**3 - 1.
(h - 1)*(h + 1)*(h + 2)/2
Let z = 1831/50280 - -11/2095. Let b(f) be the third derivative of 5*f**2 + 0*f + 5/6*f**4 - 5/12*f**5 + z*f**6 + 0 + 0*f**3. Factor b(l).
5*l*(l - 4)*(l - 1)
Let b(s) be the first derivative of -38*s**3/9 - 17*s**2 + 12*s - 142. What is l in b(l) = 0?
-3, 6/19
Suppose 7*u - 258 = -251. Let b(l) = -l + 2. Let n(i) = -2*i**4 - 10*i**3 - 12*i**2 + 9*i + 14. Let w(z) = u*n(z) + b(z). Determine o, given that w(o) = 0.
-2, 1
Suppose 29*y + 3*w - 55 = 25*y, -w = 2*y - 27. Let z(k) be the first derivative of y - 8/9*k**3 + 1/6*k**4 + 0*k + k**2. Factor z(f).
2*f*(f - 3)*(f - 1)/3
Factor 32/3*r**3 + 1200 + 5810/3*r + 2384/3*r**2.
2*(r + 72)*(4*r + 5)**2/3
Solve -5*q + 176 + 23 + 5*q**2 - 205 + q**4 + 5*q**3 = 0.
-3, -2, -1, 1
Let d(g) be the first derivative of g**5/5 + 1033*g**4/4 + 4121*g**3/3 + 5147*g**2/2 + 2058*g + 807. Solve d(r) = 0.
-1029, -2, -1
Let d = -442 + -296. Let h = d - -745. Factor -5 - 1/5*b**3 - 11/5*b**2 - h*b.
-(b + 1)*(b + 5)**2/5
Let h(q) be the second derivative of q**7/18900 - q**6/675 + 5*q**4/2 + q**2 + 19*q. Let c(m) be the third derivative of h(m). Suppose c(u) = 0. What is u?
0, 8
Let 0 + 6/11*b**3 + 576/11*b - 168/11*b**2 = 0. Calculate b.
0, 4, 24
Let w(r) be the first derivative of 12*r**2 + 9/5*r**5 + 486*r**3 + 0*r - 81/2*r**4 - 2 - 1/30*r**6. Let k(n) be the second derivative of w(n). Factor k(j).
-4*(j - 9)**3
Let i(p) be the first derivative of 5*p**4/4 - 3010*p**3/3 - 6035*p**2/2 - 3020*p - 6704. Factor i(j).
5*(j - 604)*(j + 1)**2
Let h(j) be the first derivative of -j**8/11760 - j**7/840 - 2*j**3/3 + 7*j + 10. Let t(k) be the third derivative of h(k). Determine v so that t(v) = 0.
-7, 0
Let c(g) = g**3 + 4*g**2 - 3*g - 3. Let z be c(-5). Let m = -7 - z. Determine w, given that -5 - 5*w**2 - 6*w + 0 - m*w + 2*w = 0.
-1
Factor 408/7 - 1014/7*b - 15/7*b**2.
-3*(b + 68)*(5*b - 2)/7
Let t(d) = d**3 - 7*d**2 + 15*d - 7. Let i = -421 - -424. Let s be t(i). Factor 0*y**s + 0 + 1/4*y**3 - 1/4*y.
y*(y - 1)*(y + 1)/4
Factor -173*h**3 + 368*h**3 + 7680*h + 5994 + 4246 - 2360*h**2 - 5*h**4.
-5*(h - 16)**2*(h - 8)*(h + 1)
Factor 2710*u**4 - 65*u**3 + 300 + 183*u**2 + 5*u**3 - 460*u - 2705*u**4 - 97*u**2 + 169*u**2.
5*(u - 5)*(u - 3)*(u - 2)**2
Let q = 974 + -972. Factor 5*h**3 - h**5 + 4*h + 8*h**2 - 2*h**4 - 7*h**3 + 3*h**3 + 0*h**2 + q*h**3.
-h*(h - 2)*(h + 1)**2*(h + 2)
Let p(d) = -19*d + 10. Let z be p(-3). Let s = z + -65. What is m in -2*m**3 - 5*m**2 - m + 12*m**s - 2*m**2 - m = 0?
0, 1/2, 2
Suppose -125 = -11*l - 136. Let p be l*(-5 + (637/10)/13). Find g such that -2/5 - 2/5*g - p*g**2 = 0.
-2
Let z(m) be the second derivative of 441/4*m**5 + 17*m + 0*m**2 + 40/3*m**3 + 70*m**4 + 0. What is i in z(i) = 0?
-4/21, 0
Let p be (-7)/182*-4 + 784/(-26). Let w be 10/p*7*-3. Suppose -144 + 24*j - j**2 + 7*j**2 - w*j**2 = 0. What is j?
12
Suppose 117*h = 22*h - 3 + 3. Let k(x) be the first derivative of 10 - 1/2*x**2 - 1/6*x**3 + h*x. Find u such that k(u) = 0.
-2, 0
Let n(x) = -x - 6. Let j be n(-2). Let h be 0*(2 + -5*j/(-12)). Determine s so that -6*s**2 - 2*s**3 + h*s**2 + s**3 - 4 - 9*s = 0.
-4, -1
Let c(m) be the second derivative of 0 - 97*m - 2/9*m**3 + 0*m**2 - 1/9*m**4. Factor c(l).
-4*l*(l + 1)/3
Let o(r) = r**2 - r + 11. Let x(l) = -367*l**2 + 268*l - 92. Let t(b) = -4*o(b) - x(b). Factor t(h).
3*(11*h - 4)**2
Suppose u - 2505 = -0*u. Suppose -9*w + 4*w = -u. Factor w*y**3 + 3*y**4 - 493*y**3 + y**4.
4*y**3*(y + 2)
Suppose 3*u + 24 = 0, -107 = -28*s + 27*s + 13*u. Let c(k) be the second derivative of 0 - 1/9*k**s - 6*k - 1/54*k**4 + 0*k**2. Factor c(i).
-2*i*(i + 3)/9
Let g = -1111/20 + 279/5. Let n = 1 - 1. Factor n - m**2 + g*m.
-m*(4*m - 1)/4
Let z(i) = -109*i + 1120. Let w be z(10). Let q(b) be the first derivative of -8 - 6*b + 51/2*b**2 - w*b**3. Factor q(f).
-3*(5*f - 2)*(6*f - 1)
Let o be (3/(-5) + 42/45)*6. Let 162*k**2 - 36*k**o - 44*k**2 - 39*k**2 + 4*k**3 - 39*k**2 - 16 - 16*k = 0. Calculate k.
-2, -1, 2
Let o(t) be the first derivative of -5*t**4/16 + 20*t**3/3 + 1175*t**2/8 + 1625*t/2 + 1697. Factor o(u).
-5*(u - 26)*(u + 5)**2/4
Let a(x) be the first derivative of 10/7*x**2 + 2/35*x**5 + 0*x - 261 + 2/7*x**3 - 3/7*x**4. Find w, given that a(w) = 0.
-1, 0, 2, 5
Let q(v) be the first derivative of -v**4/16 - 24*v**3 - 21021*v**2/8 - 20449*v/2 - 907. Factor q(r).
-(r + 2)*(r + 143)**2/4
Solve 0 - 255*g**2 - 249/2*g - 273/2*g**3 - 6*g**4 = 0.
-83/4, -1, 0
Solve 861*r + 1681/2*r**2 + 441/2 = 0 for r.
-21/41
Let u(y) be the third derivative of y**5/12 + 315*y**4/4 + 59535*y**3/2 - 172*y**2. Factor u(d).
5*(d + 189)**2
Let g(a) = -11*a**3 - 2*a**2 - 4*a - 3. Let j be g(-1). Let r(x) be the second derivative of -10/3*x**3 + 25/2*x**2 - j*x + 0 - 5/12*x**4. Factor r(k).
-5*(k - 1)*(k + 5)
Let u = -501/16 - -701/16. Let q(y) be the first derivative of -u*y**2 - 12 + 30*y + 5/3*y**3. Factor q(f).
5*(f - 3)*(f - 2)
Let n = -1703594/9 - -189289. Let 1/9 - n*l - l**3 + 5/3*l**2 = 0. Calculate l.
1/3, 1
Let p(o) = 42*o**4 - 49*o**3 - 45*o**2 + 87*o + 5. Let u(n) = -25*n**4 + 25*n**3 + 22*n**2 - 43*n - 3. Let l(w) = -3*p(w) - 5*u(w). Find h such that l(h) = 0.
-2, 0, 1, 23
Suppose 0 = -1145*l + 1253*l - 432. Let f(q) be the second derivative of -6*q + 0 - 8/7*q**2 - 1/42*q**l + 3/7*q**3. Factor f(k).
-2*(k - 8)*(k - 1)/7
Let l(r) = r**3 + 42*r**2 + 396*r - 479. Let u be l(-18). Factor u + 26/3*c + 1/9*c**2.
(c + 39)**2/9
Suppose -15*i + 13*i - s + 2 = 0, 2*i - 4*s = 22. Factor -10*j**i - 1 - 7*j**2 + 7 + 9*j**3 + 5*j + 5*j**2.
-(j - 2)*(j + 1)*(j + 3)
Let z(m) be the second derivative of -m**5/10 + 23*m**3/6 + 5*m**2/2 + 2*m + 1. Let y(g) = g + 1. Let s(b) = -5*y(b) + z(b). Suppose s(p) = 0. Calculate p.
-3, 0, 3
Let j(i) be the second derivative of -4*i**3 + 6/5*i**5 - i + 59/6*i**4 - 1 - 11/3*i**6 - 4*i**2. Solve j(y) = 0.
-1, -2/11, 2/5, 1
Factor 5043/2*d - 3/8*d**4 + 495/8*d**3 - 2583*d**2 + 0.
-3*d*(d - 82)**2*(d - 1)/8
Let y(u) be the second derivative of 195*u**2 + 5/12*u**4 + 0 - 395/6*u**3 + 304*u. Find l, given that y(l) = 0.
1, 78
Let r(l) be the first derivative of 0*l**2 - 1/4*l**5 - 10 - 5/6*l**4 + 4*l - 5/6*l**3. Let f(k) be the first derivative of r(k). Suppose f(y) = 0. What is y?
-1, 0
Let d be (-3 + (-195)/(-26))/(477/424). Factor -1/2*k**2 + d - k.
-(k - 2)*(k + 4)/2
Let y(z) = z**3 + 19*z**2 - 4*z + 202. Let x be y(-22). Let p = x + 5812/5. Factor 0 - p*b - 96/5*b**3 - 72/5*b**4 - 26/5*b**2.
-2*b*(b + 1)*(6*b + 1)**2/5
Let x(v) be the second derivative of -1/15*v**6 + 3/2*v**4 + 0 + 3*v**3 + 0*v**2 - 70*v - 1/10*v**5. Factor x(r).
-2*r*(r - 3)*(r + 1)*(r + 3)
Factor -1276802/5 - 3196/5*c - 2/5*c**2.
-2*(c + 799)**2/5
Let b be 21 + -1 - (-1 - (-3 + 5)). Suppose -v + 22*f - 3 = 25*f, 5*v - 4*f = b. Factor -1/4*j**4 + 0*j + 1/2*j**2 + 0 + 1/4*j**v.
-j**2*(j - 2)*(j + 1)/4
Determine o so that 0 + 34/7*o**2 - 16/7*o - 