t i be ((-15)/(-10) + a)*2/10. Factor 0 - i*u**2 + 1/4*u**3 + 0*u.
u**2*(u - 2)/4
Let f(k) be the third derivative of 7*k**2 + 7/240*k**4 - 1/10*k**3 + 0*k - 1/600*k**5 + 0. Factor f(a).
-(a - 6)*(a - 1)/10
Let s be (1/4)/(72/960). Find z such that 1/3*z**2 + s*z + 3 = 0.
-9, -1
Let y(a) be the first derivative of a**6/120 - a**5/20 - 3*a**4/8 - 4*a**3/3 - 21. Let u(w) be the third derivative of y(w). What is k in u(k) = 0?
-1, 3
Factor 1/4*v**2 - 12*v - 49/4.
(v - 49)*(v + 1)/4
Determine x so that 41*x**4 - 69*x**4 - 168*x**3 - x**5 + 490*x**2 + 50*x**4 - 343*x = 0.
0, 1, 7
Let o be ((-6)/(-5))/(90/(-300))*(-2)/40. Find i, given that -o*i**4 + 3/5*i**2 + i - 1/5*i**3 + 2/5 = 0.
-1, 2
Let o = -40849/3 - -13618. Find y, given that 1/3*y**4 + o*y**3 + 0*y + 0 + y**2 - 1/3*y**5 = 0.
-1, 0, 3
Find j, given that 22815/4*j + 939/2*j**3 + 6591/2 + 63/2*j**4 + 3/4*j**5 + 2847*j**2 = 0.
-13, -2, -1
Let b(d) = 140*d + 1055. Let w be b(-7). Factor -324*f**2 - w - 270*f - 648/5*f**3.
-3*(6*f + 5)**3/5
Let a(h) = -h**2 - 3*h - 2. Let l be 24*((-8)/4)/(-2). Let x(q) = -25*q**2 + 0 + l*q**2 - 2*q - 1. Let c(w) = -2*a(w) + 3*x(w). Solve c(r) = 0.
-1, 1
Suppose f + 8/5*f**2 - 14/5 + 1/5*f**3 = 0. Calculate f.
-7, -2, 1
Suppose -1/5*y**5 - 22/5*y**3 - 2*y**4 + 19*y + 10 + 32/5*y**2 = 0. Calculate y.
-5, -1, 2
What is y in 2*y**4 + 2/3 + 14/3*y**3 + 1/3*y**5 + 3*y + 16/3*y**2 = 0?
-2, -1
Let r(x) = -7*x**4 + 126*x**3 - 283*x**2 + 144*x - 4. Let w(z) = 10*z**4 - 125*z**3 + 285*z**2 - 145*z + 5. Let u(o) = 5*r(o) + 4*w(o). Factor u(n).
5*n*(n - 1)**2*(n + 28)
Let x(m) = 7*m**3 - 5*m**2 + 86*m - 106. Let p(y) = -100*y**3 + 70*y**2 - 1205*y + 1485. Let q(r) = -6*p(r) - 85*x(r). Determine n so that q(n) = 0.
-5, 2
Let n(i) be the first derivative of -i**6 + 16*i**5/25 - i**4/10 + 76. Factor n(b).
-2*b**3*(3*b - 1)*(5*b - 1)/5
Let w = -2220 + 2223. Find f, given that 2/3*f - 4/3*f**2 - 2/3*f**w + 4/3 = 0.
-2, -1, 1
Let u be (-78)/(-104) - 1/12. Let r(y) be the second derivative of -u*y**4 + 1/5*y**5 - 2/3*y**3 + 7*y + 4*y**2 + 0. Solve r(a) = 0.
-1, 1, 2
Let r(s) = -5*s - 18. Let i be r(-6). Determine d so that 21*d**5 + 60*d**4 - 43*d**2 + 4*d**5 - 33*d - 10 - 7*d**2 - i*d + 20*d**3 = 0.
-1, -2/5, 1
Let n(r) = -3 - 5*r**2 + r**2 + 5*r**2 + 4*r. Let k(y) = y - 1. Let p be -4*(-18)/(-24)*(-2)/(-6). Let u(s) = p*n(s) + 3*k(s). Find b such that u(b) = 0.
-1, 0
Let b = 10644/1195 - 408/239. Factor 0 + 8*z**2 + 16/5*z + 2/5*z**5 + b*z**3 + 14/5*z**4.
2*z*(z + 1)*(z + 2)**3/5
Let y = 1 + -1. Let t(k) be the third derivative of 1/8*k**4 - 7*k**2 + 0 - 1/3*k**3 + y*k - 1/60*k**5. Factor t(q).
-(q - 2)*(q - 1)
Let q = -13949 - -181339/13. Let 0*h**2 + 8/13*h**4 + 0*h - q*h**5 + 0 - 8/13*h**3 = 0. Calculate h.
0, 2
Let p = -5561 + 5564. Factor -p*y + 3/2*y**2 - 9/2.
3*(y - 3)*(y + 1)/2
Let i(t) be the second derivative of 2/3*t**2 + 0 + 0*t**4 + 31*t + 1/30*t**5 - 1/3*t**3. Factor i(m).
2*(m - 1)**2*(m + 2)/3
Suppose 56/5*w**4 - 88/5 + 136/5*w**3 + 4/5*w**5 + 32/5*w**2 - 28*w = 0. What is w?
-11, -2, -1, 1
Let f(s) be the third derivative of -4*s**7/315 + s**6/9 - 37*s**5/90 + 5*s**4/6 - s**3 - 131*s**2 - 1. Factor f(o).
-2*(o - 1)**2*(2*o - 3)**2/3
Suppose 0 = -63*r + 64*r + 3*o - 5, -r + 3*o - 1 = 0. Factor 0*f**r - 3/4 + 3/2*f**3 + 3/4*f**4 - 3/2*f.
3*(f - 1)*(f + 1)**3/4
Let q(y) be the first derivative of y**4/6 - 4*y**3/9 + y**2/3 - 93. Factor q(p).
2*p*(p - 1)**2/3
Let h be (3 - (-17)/(-7))*(-6)/(-8). Factor -1/7*v**3 + 0*v - 4/7 + h*v**2.
-(v - 2)**2*(v + 1)/7
Suppose -2*k - g + 22 = 0, k = 5*k - g - 50. Determine i so that 15*i + 4*i**2 + 13*i + 0*i**2 - k*i = 0.
-4, 0
Suppose 6*k + 1169 = -1081. Let z be -9 - -5 - (k/12)/5. Factor 5/4*c**3 - z*c**2 + 7/4*c - 1/4*c**4 - 1/2.
-(c - 2)*(c - 1)**3/4
Let g = 9827 + -9822. Solve -9/8*w**4 + 0 - 3/8*w**g + 0*w**3 + 0*w + 0*w**2 = 0.
-3, 0
Let x = -63580 - -696500/11. Let g = x + 262. Factor -2/11*t**2 - 4/11*t - g.
-2*(t + 1)**2/11
Let d = 177/7 + -15923/630. Let z(a) be the third derivative of 1/36*a**4 + d*a**5 + 0 + 0*a + 1/27*a**3 + 6*a**2 + 1/540*a**6. Solve z(b) = 0.
-1
Determine v, given that -12*v**3 + 60 + 21*v**2 + 6*v**2 + 72*v + 5*v**3 + 10*v**3 = 0.
-5, -2
Suppose 4/9*x**3 + 20/9*x**2 + 16/9 + 32/9*x = 0. What is x?
-2, -1
Let a(u) be the first derivative of u**5 - 20*u**4 + 355*u**3/3 - 140*u**2 + 169. Determine c so that a(c) = 0.
0, 1, 7, 8
Let o(p) be the second derivative of 5*p**7/84 - p**6/2 - 9*p**5/2 - 25*p**4/3 - 355*p. Factor o(r).
5*r**2*(r - 10)*(r + 2)**2/2
Let n(d) = -15*d - 18*d + 12 + 31*d. Let o be n(3). Factor -6*f + o*f**2 - 3*f**4 - 3/2*f**5 + 0 + 9/2*f**3.
-3*f*(f - 1)**2*(f + 2)**2/2
Let o be (0 - -6) + 2*34/(-12). Let h(c) be the second derivative of -2/3*c**3 + 0*c**2 + 2*c + 3/2*c**4 + 0 + o*c**6 - 6/5*c**5. Let h(n) = 0. What is n?
0, 2/5, 1
Let k(q) = q**3 + 16*q**2 + 33*q + 33. Let d(u) = 2*u**3 + 34*u**2 + 66*u + 65. Let v(c) = -6*d(c) + 14*k(c). Factor v(z).
2*(z + 3)**2*(z + 4)
Let h(o) = -o**2 + 2*o - 2. Let n be h(5). Let g = 20 + n. Factor y**3 + 2*y**2 + y**2 + 3*y**3 + 5*y**3 + 9*y**4 + g*y**5.
3*y**2*(y + 1)**3
Let x(y) be the second derivative of y**5/4 - 23*y**4/12 - 5*y**3/3 + 26*y + 1. Factor x(n).
n*(n - 5)*(5*n + 2)
Let b(i) be the first derivative of 2*i**5/35 - 11*i**4/7 + 16*i**3 - 70*i**2 + 98*i + 162. Determine x so that b(x) = 0.
1, 7
Let s(g) = 2*g**2 + 14*g + 1. Let z be s(-7). Factor -110*u + 76*u**2 + 39 + z - 51*u**2.
5*(u - 4)*(5*u - 2)
Let v be (2/10)/(-10*4/(-25)). What is z in v*z**2 - 5/4*z + 25/8 = 0?
5
Let g be -2 - 60/(-27) - (-5)/45. Factor 16/3*f - 4/3*f**3 + 0*f**2 - 16/3 + g*f**4.
(f - 2)**3*(f + 2)/3
Let r(d) be the third derivative of -d**5/15 + 7*d**4/3 - 16*d**3 - 10*d**2 + 8. Let r(u) = 0. What is u?
2, 12
Let g(y) = -y**2 - 2*y + 2. Let r be g(1). Let x be r/(3/6*-1). Factor 19*o - 6 + 2*o**x + 2*o - 17*o**2.
-3*(o - 1)*(5*o - 2)
Suppose 21 = 3*a + 3*o, 5*a + 2*o = -o + 29. Let r(z) be the first derivative of -8/7*z + a - 46/21*z**3 - 20/7*z**2 - 1/2*z**4. Factor r(b).
-2*(b + 1)*(b + 2)*(7*b + 2)/7
Let -122/13*t**4 + 0 + 222/13*t**3 - 22/13*t**2 - 12/13*t - 66/13*t**5 = 0. Calculate t.
-3, -2/11, 0, 1/3, 1
Let n be (2 + 3)*(-10 + 11). Let j(g) = -3*g**2 + 14*g + 5. Let q(b) = -3*b**2 + 14*b + 5. Let l(z) = n*j(z) - 4*q(z). Factor l(v).
-(v - 5)*(3*v + 1)
Let s(c) be the second derivative of -c**3/6 + c**2/2 + 10*c. Let l(f) = -2*f**2 - 22*f - 176. Let b(j) = -2*l(j) - 28*s(j). Factor b(v).
4*(v + 9)**2
Find n such that 144*n + 107*n**4 + 50*n**2 - 195*n**3 + 80*n**5 - 19*n - 147*n**4 = 0.
-1, 0, 5/4
Suppose -90 = -3*q + 5*y, 5*q + 0*y = -4*y + 150. Let c be ((-204)/(-85))/(28/q + 0). Let 4/7*h**4 + c*h**2 - 10/7*h + 2/7 - 2*h**3 = 0. What is h?
1/2, 1
Let u be (-10)/4 + (63/(-24))/(-1). Suppose u*j**2 + 0 - 5/8*j = 0. What is j?
0, 5
Let y(j) be the first derivative of -j**6/960 - j**5/80 - j**4/16 + 2*j**3/3 + 25. Let g(f) be the third derivative of y(f). Factor g(q).
-3*(q + 2)**2/8
Let i be (-30)/(-8) + 1 - (-15)/60. Let w(v) be the third derivative of 4*v**2 + 1/180*v**i + 0*v - 1/18*v**3 + 0 + 0*v**4. Solve w(a) = 0.
-1, 1
Factor 10*q - 5/2*q**2 - 15/2.
-5*(q - 3)*(q - 1)/2
Let f(z) = 7*z**2 - 318*z + 5118. Let w(m) = 29*m**2 - 1271*m + 20471. Let d(o) = -9*f(o) + 2*w(o). Factor d(n).
-5*(n - 32)**2
Determine q, given that -10/9 + 2/9*q**2 - 8/9*q = 0.
-1, 5
Suppose -19/4*y**3 + 0 + 1/4*y**4 + 0*y + 45/2*y**2 = 0. What is y?
0, 9, 10
Determine n, given that 2*n**2 + 1/2*n**4 - 1/2*n**5 + 0 - 8*n + 6*n**3 = 0.
-2, 0, 1, 4
Let c(a) be the first derivative of -2*a**5/15 - a**4/2 - 2*a**3/3 - a**2/3 - 300. Factor c(w).
-2*w*(w + 1)**3/3
Let a(n) = 19*n**2 + 391*n + 12. Let c(j) = 23*j**2 + 392*j + 15. Let y(x) = -5*a(x) + 4*c(x). Suppose y(o) = 0. What is o?
-129, 0
Let u = 32/383 + 5521/2681. What is y in -u - 9/7*y**2 - 48/7*y = 0?
-5, -1/3
Let f = -34 + 65. Factor 44 - 8*x + 4*x**2 - 32*x + 87 - f.
4*(x - 5)**2
Let x be (-2 - -6)*2/16. Let c(f) be the first derivative of -1 + 0*f**2 + 0*f - x*f**6 + 3/4*f**4 - 3/5*f**5 + f**3. Factor c(y).
-3*y**2*(y - 1)*(y + 1)**2
Let v(g) be the first derivative of -g**6/6 + 7*g**5/5 - 3*g**4/4 - 23*g**3/3 + 16*g**2 - 12*g - 278. Find s, given that v(s) = 0.
-2, 1, 6
Let x(n) = n**2 - 17*n - 58