 1369/12425. Let f(k) be the first derivative of -8/15*k**3 + 0*k**4 + 0*k**2 + 7 + 0*k + z*k**5. Find v such that f(v) = 0.
-2, 0, 2
Suppose 5*d = t + 24, 16*t - 15*t + 4 = 0. Let q be 9 + -3 + -6 + d. Factor 4/9*v**3 + 4/9*v**2 - 2/3*v + 2/9 + 2/9*v**5 - 2/3*v**q.
2*(v - 1)**4*(v + 1)/9
Let r(h) be the first derivative of 4*h**3/21 + 52*h**2/7 + 192*h/7 - 66. Factor r(i).
4*(i + 2)*(i + 24)/7
Solve -84*j**3 + 3/5*j**5 + 0 + 0*j - 432/5*j**2 - 96/5*j**4 = 0.
-2, 0, 36
Suppose 21*o = 27*o - 18. Suppose -55*t - 5*t**2 + 18*t**3 + 3 - 39 - 13*t**3 + 1 + 10*t**o = 0. What is t?
-1, 7/3
Let j(x) be the second derivative of -1/40*x**6 + 0*x**2 + 1/40*x**5 - 3 - 14*x + 7/48*x**4 + 1/12*x**3. Solve j(n) = 0.
-1, -1/3, 0, 2
Let b(w) be the second derivative of -5*w**7/42 - 5*w**6/3 - 8*w**5 - 95*w**4/6 - 25*w**3/2 + 332*w. Determine q so that b(q) = 0.
-5, -3, -1, 0
Solve -3230/3*i**3 - 98500/3*i**2 - 92480 - 998920/3*i - 35/3*i**4 = 0.
-34, -24, -2/7
Let k(s) be the second derivative of -213*s - 1/6*s**6 + 0*s**3 - 15*s**4 - 3*s**5 + 0 + 0*s**2. Factor k(h).
-5*h**2*(h + 6)**2
Let m = -6899 + 6901. Let a(c) be the second derivative of 0*c**m - 1/36*c**6 - 19*c - 1/24*c**5 + 0*c**3 + 0 + 0*c**4. Factor a(b).
-5*b**3*(b + 1)/6
Let d be (3372/9)/(3*(-6)/(-27)). Suppose 5*q = d + 28. Suppose -q*y**2 - 48*y + 60*y**2 + 144 + 62*y**2 = 0. What is y?
6
Suppose 0 = -92*a + 95*a - 72. Suppose 26*i**2 - 3*i**2 - 26 + a*i - 12*i**2 - 9*i**2 = 0. What is i?
-13, 1
Let k be -1*10/((-60)/558). Suppose 27*i - k + 12 = 0. What is c in -1 + 5/4*c**2 + 0*c + 0*c**i - 1/4*c**4 = 0?
-2, -1, 1, 2
Let v = 35 + -33. Solve 0*w**4 - 132 - 60*w + 32 + 131*w**v + 34 - 38*w**3 + 3*w**4 + 30 = 0.
-1/3, 1, 6
Let v = -44 + 59. Suppose -4*j + v = n - 2*n, 3*j = -2*n + 14. Factor -4*t**4 + 2*t + 4*t**2 - 3*t**4 + 3*t**j - 2*t**5.
-2*t*(t - 1)*(t + 1)**3
Let o = 10150 - 304499/30. Let x(f) be the second derivative of 1/9*f**3 - 5/36*f**4 - 22*f + 1/18*f**6 + 0 - o*f**5 + 0*f**2. Factor x(j).
j*(j - 1)*(j + 1)*(5*j - 2)/3
Let d(a) = 3*a - 60. Suppose z - 86 = -4*l, 0 = -4*l + z - 3*z + 88. Let h be d(l). Determine w, given that 6/11*w - 2/11*w**h + 4/11 + 0*w**2 = 0.
-1, 2
Suppose 0 = -2*d - 68 + 72. Factor 185 - 330 + 3*h**d + 169 - 18*h.
3*(h - 4)*(h - 2)
Let s(h) be the third derivative of -5/84*h**8 - 10*h**2 + 26/3*h**4 - 8/15*h**7 - 11/10*h**6 + 38/15*h**5 - 10 - 16*h**3 + 0*h. Let s(j) = 0. What is j?
-3, -2, 2/5, 1
Let s be 14/(308/2) - (-218)/22. Suppose 5*o - s = h, 31*o - 2*h = 33*o - 4. Factor 0*t**o + 0 - 1/9*t**3 + 0*t.
-t**3/9
Let z(r) be the second derivative of r**4/36 - 863*r**3/9 + 744769*r**2/6 - 7*r - 285. Find k, given that z(k) = 0.
863
Let j(f) be the third derivative of -f**8/1008 + f**7/90 + 17*f**6/180 - 2*f**5/9 + 7072*f**2. Find y such that j(y) = 0.
-4, 0, 1, 10
Let b = -5636 - -5662. Let u(i) be the first derivative of -12 + b*i**3 + 42*i**2 - 9/4*i**4 - 27/5*i**5 + 24*i. What is d in u(d) = 0?
-1, -2/3, 2
Let n be (-54)/(-10) + 4/(-10). Let y = 6914261/7 - 987751. Let -y*a - 6/7*a**4 + 0 - 10/7*a**n + 2*a**3 + 6/7*a**2 = 0. Calculate a.
-1, 0, 2/5, 1
Let n(i) be the second derivative of -i**4/24 - 271*i**3/4 + 7*i - 156. Determine m so that n(m) = 0.
-813, 0
Let l = 640 + -634. Suppose -289 = -59*x + l. Solve 16/5*c**2 - 16/5*c - 4/5*c**x - 8/5*c**4 + 0 + 12/5*c**3 = 0.
-2, 0, 1
Factor 87/2*c**2 + 1/2*c**5 - 3/2*c**4 - 19/2*c**3 - 45*c + 0.
c*(c - 3)**2*(c - 2)*(c + 5)/2
Let r(k) be the first derivative of -4*k**5/15 + 2*k**4 - 4*k**3/3 - 20*k**2/3 - 21. Factor r(w).
-4*w*(w - 5)*(w - 2)*(w + 1)/3
Let c = 11 + -7. Let u = -2495999/6 - -416000. What is h in 1/3*h**2 + u*h**c - 1/2 + 2/3*h - 2/3*h**3 = 0?
-1, 1, 3
Solve 2*r**5 - 151*r - 110*r**2 - 261*r + 54*r**4 - 123*r**3 - 372*r - 394*r**2 + 455*r**3 = 0.
-14, -1, 0, 2
Let j(u) = 59*u**2 - 3321*u + 554427. Let c(g) = -65*g**2 + 3320*g - 554425. Let l(y) = -9*c(y) - 10*j(y). Solve l(h) = 0.
333
Factor 72/5 + 66/5*b**2 + 3/5*b**3 - 141/5*b.
3*(b - 1)**2*(b + 24)/5
Let z be -22 + 9657/1073*50/18. Solve -3/5*o**4 + 0 + 18/5*o + 0*o**z + 21/5*o**2 = 0.
-2, -1, 0, 3
Let l(k) = 5*k**4 - 4830*k**3 + 1152045*k**2 - 2289560*k + 1142420. Let t(y) = -2*y**3 + 3*y**2 + 3*y. Let n(b) = -l(b) + 20*t(b). Factor n(s).
-5*(s - 478)**2*(s - 1)**2
Suppose -4*y - 177 = -3*f, -2*y + y - 223 = -4*f. Let d = 57 - f. Determine z, given that 12*z + 3 + 131*z**2 - 58*z**2 - 64*z**d = 0.
-1, -1/3
Let s(y) be the second derivative of -65*y - 1/12*y**4 - 2*y**2 + 0 - 5/6*y**3. Find q such that s(q) = 0.
-4, -1
Let a(v) = -8*v**3 - 2*v**2 - 6*v - 6. Let x = -60 - -66. Suppose -26 = x*f + 10. Let u(g) = -7*g**3 - g**2 - 5*g - 5. Let z(m) = f*u(m) + 5*a(m). Factor z(y).
2*y**2*(y - 2)
Suppose 7*c + 25 = 12*c. Suppose -5*y = -2*w + 14, -w + 21 = -4*y + 11. Suppose 0 - c*a - 5/2*a**w = 0. Calculate a.
-2, 0
Let h(y) be the first derivative of -5*y**3/12 - 761*y**2/4 - 152*y - 1402. Find w, given that h(w) = 0.
-304, -2/5
Let x(c) be the first derivative of 2*c**5/35 - 34*c**4/7 - 2308*c**3/21 + 11220*c**2 + 381150*c - 2661. Factor x(k).
2*(k - 55)**2*(k + 21)**2/7
What is c in 12/5*c**3 - 3/5*c**4 + 9/5*c**2 - 6*c - 24/5 = 0?
-1, 2, 4
Let c(g) be the second derivative of g**4/12 - g**3 + 4*g**2 + 4*g. Let f be c(5). Find y, given that 3/2*y - 3/2*y**2 + f = 0.
-1, 2
What is u in 4*u**2 - 544/3 + 28/3*u = 0?
-8, 17/3
Let h be (-6)/(-9) - (-4)/3. Factor -4*i**2 - 18*i + 21*i**h + 16*i.
i*(17*i - 2)
Suppose 3*b = 5*w + 16, -2*b + w = -0*w - 6. Find g such that -12*g**3 - 90 - 20*g**b - 8*g + 90 = 0.
-1, -2/3, 0
Let c(n) = -2*n**2 - 299*n - 5914. Let a be c(-126). Suppose 16/3 - 2/3*q**4 + 4/3*q**2 + a*q - 2*q**3 = 0. Calculate q.
-2, -1, 2
Let r(f) = -f**3 - 7*f**2 - f - 5. Let i be r(-7). Let q be (-56)/(-10) - (-120)/(-200). Solve 35*o**4 - i*o**2 - 5*o**q - 2 + 2 - 27*o**4 - o**3 = 0 for o.
-2/5, 0, 1
Let k(m) be the second derivative of 4/15*m**4 + 0 - 1/50*m**5 + 0*m**2 + 133*m - 7/15*m**3. Suppose k(t) = 0. What is t?
0, 1, 7
Factor 35 + 1/5*s**2 - 176/5*s.
(s - 175)*(s - 1)/5
Let m be 2/18 - ((-46)/(-1008))/(-23)*-50. Let z(l) be the third derivative of m*l**4 - 1/210*l**5 + 0 + 0*l**3 + 26*l**2 + 0*l. What is c in z(c) = 0?
0, 1
Suppose -27 = -20*p + 13. Let f be (p - 7) + -1 + (4 - -4). Factor 2/11*g**f - 2/11*g - 4/11.
2*(g - 2)*(g + 1)/11
Factor 1/5*x**3 + 792/5*x - 2268/5 - 15*x**2.
(x - 63)*(x - 6)**2/5
Suppose -22719*c**4 - 37304*c**3 - c**5 + 311045*c - 314624*c**2 + 21983*c**4 - 3*c**5 - 242208 - 831305*c = 0. Calculate c.
-87, -8, -1
Let g be (-305)/976*4/3*(-78)/260. Suppose -12 = -4*r - 0*r. Solve 1/4 - 1/8*n**4 - 5/8*n + g*n**r + 3/8*n**2 = 0 for n.
-2, 1
Let y(l) be the first derivative of -l**5/20 - l**4/2 - 2*l**3 + 27*l**2 + 132. Let c(k) be the second derivative of y(k). Suppose c(r) = 0. Calculate r.
-2
Let a(t) be the first derivative of 20/3*t**3 - 16*t**2 - 17 - t**4 + 16*t. Factor a(n).
-4*(n - 2)**2*(n - 1)
Let p = 2/188505 + 15080/37701. Factor -6/5*k**3 - p*k**4 + 0*k + 2/15*k**5 + 0 - 2/3*k**2.
2*k**2*(k - 5)*(k + 1)**2/15
Let u(x) be the third derivative of x**7/210 + x**6/12 + 2*x**5/15 - 8*x**4/3 + 401*x**2. Determine y so that u(y) = 0.
-8, -4, 0, 2
Let q(b) be the second derivative of b**6/60 - b**4/12 + 68*b**2 - 2*b + 122. Let a(v) be the first derivative of q(v). Solve a(m) = 0.
-1, 0, 1
Let b(k) be the first derivative of 5*k**4/4 + 875*k**3/3 - 440*k**2 - 10138. Solve b(l) = 0.
-176, 0, 1
Let h(k) be the third derivative of k**6/60 + 19*k**5/30 - 95*k**4/6 - 208*k**3/3 - 2*k**2 + 1017*k + 1. Determine t so that h(t) = 0.
-26, -1, 8
Suppose -42*o + 36*o - 72 = 0. Let x be (-15)/o + (-150)/120. Let x + 3/2*n**4 + 0*n + 6*n**2 - 15/2*n**3 = 0. Calculate n.
0, 1, 4
Let p(t) be the first derivative of -t**3/8 - 45*t**2/4 - 825*t/8 - 228. Let p(r) = 0. What is r?
-55, -5
Factor 312*k + 343*k**5 - 9017*k**4 - 4933*k**4 + 1295*k**4 - 2708*k**4 + 11550*k**3 + 1692*k**4 - 3284*k**2.
k*(k - 39)*(7*k - 2)**3
Let w(u) be the first derivative of -u**3/30 + 76*u**2/5 - 11552*u/5 + 398. Factor w(t).
-(t - 152)**2/10
Let v(k) be the second derivative of 1/80*k**5 - 1/12*k**3 - 1/16*k**4 + 1/40*k**6 + 0*k**2 + 1/168*k**7 + 11*k - 5. Factor v(a).
a*(a - 1)*(a + 1)**2*(a + 2)/4
Let v(d) = 11*d**3 - 2*d**2 + d +