t v(p) = 2*p**3 + 11*p**2 + 6*p + 6. Let h be v(-5). Let y be (h - 1)*(-43 + 44)*1. Solve y - 1/2*z**5 + 0*z**4 + 0*z**2 + 0*z + 1/2*z**3 = 0 for z.
-1, 0, 1
Let z(f) be the third derivative of f**7/280 + 3*f**6/40 + 39*f**5/80 + 7*f**4/8 + 43*f**2 - 7*f. Solve z(b) = 0 for b.
-7, -4, -1, 0
Let z(h) be the second derivative of -h**4/54 - 484*h**3/27 - 58564*h**2/9 - 1342*h. Factor z(n).
-2*(n + 242)**2/9
Let k be (-115)/299 + (-3009)/(-2652). What is n in 0 + 0*n + 3*n**4 + 0*n**2 - k*n**5 - 9/4*n**3 = 0?
0, 1, 3
Let z = 730 + -728. Let f(s) be the second derivative of 0 + 4*s**z - s**5 - 14/3*s**3 - 15*s + 3*s**4 + 2/15*s**6. Find c, given that f(c) = 0.
1, 2
Suppose -43 + 33 = -2*k. Suppose 0 = -k*s + 18 + 42. Find d such that s*d + 50 - 17 + 2*d**2 - 15 + 0*d**2 = 0.
-3
Let s(o) be the first derivative of -8*o**3 + 0*o - 71 + 9*o**4 + 2*o**2 - 16/5*o**5. Suppose s(u) = 0. What is u?
0, 1/4, 1
Let g be (4 + 35/(-10))/((-1)/(-96)). Suppose -g + 151*p + 149*p - 247*p**2 + 67 - 39 + 42*p**2 - 2700*p**3 = 0. What is p?
-2/5, 2/27, 1/4
Let o(n) be the second derivative of 507/2*n**2 + 1/36*n**4 + 0 - 136*n - 13/3*n**3. Factor o(d).
(d - 39)**2/3
Let z be 13/(-1872)*(-3)/(-6)*(-24)/20. Let r(w) be the third derivative of 0*w**3 + 0 + 0*w + 0*w**4 - 11*w**2 + z*w**5. Factor r(c).
c**2/4
Let d(g) be the third derivative of -41*g**2 - 8/15*g**3 - 8/75*g**6 + 0*g + 31/30*g**4 - 56/75*g**5 + 0. Let d(y) = 0. Calculate y.
-4, 1/4
Let r(d) be the second derivative of d**5/35 + d**4/3 - 20*d**3/7 - 564*d. Suppose r(g) = 0. Calculate g.
-10, 0, 3
Suppose -276*z - 969 = -1797. Solve 3/5*h**2 + z - 18/5*h = 0 for h.
1, 5
Factor -17*n + 1567 - 4*n - n**3 - 1469 - 12*n**2.
-(n - 2)*(n + 7)**2
Let u(f) be the first derivative of 0*f**4 + 2/25*f**5 - 10*f**2 - 48/5*f - 18/5*f**3 - 216. Factor u(i).
2*(i - 6)*(i + 1)**2*(i + 4)/5
Let w(q) = -q**3 + 8*q**2 + 7*q + 22. Let j be w(9). Suppose -j*t + 9*t - 15 = 0. Find o such that o**3 + 6 - 8*o + 7*o**t - 10 + 4*o**4 = 0.
-1, 1
Suppose -3*x = r - 17, -r - 29*x + 7 = -28*x. Solve -15*m**r + 14 + 23*m**2 - 12*m**2 + 3*m - 4 = 0.
-5/4, 2
Suppose -19*v = v - 11*v + 25*v. Factor 1/4*y**4 + 4*y**2 + 0*y - 5/2*y**3 + v.
y**2*(y - 8)*(y - 2)/4
Suppose -4*q + 183 = b - 7*q, 991 = 5*b + 4*q. Solve b*m**2 - 96*m**2 + 42*m - 96*m**2 + 72 = 0 for m.
-12, -2
Let i be ((-70)/20)/((-9)/(-72)*-14). Factor 2/9*h**i + 10/9*h + 0.
2*h*(h + 5)/9
Factor -32/7 + 24/7*b + 32/7*b**2 + 6/7*b**3.
2*(b + 2)*(b + 4)*(3*b - 2)/7
Let h(p) = -3*p**2 + 30*p + 1. Let c be h(10). Factor c - 4*b**2 - 13*b + 17*b + 7.
-4*(b - 2)*(b + 1)
Let f(p) be the first derivative of -p**5/30 - p**4/6 - p**3/6 + p**2/3 + 2*p/3 + 475. Factor f(a).
-(a - 1)*(a + 1)*(a + 2)**2/6
Let y(w) = w. Let l(f) be the second derivative of f**4/12 + 19*f**3/6 + 50*f**2 + 98*f. Let i be (-6)/4 - (-14)/(-28). Let v(x) = i*l(x) - 2*y(x). Factor v(o).
-2*(o + 10)**2
Let q be -20 + (-852)/(-42) - 0. Suppose -2*f + 0*f = 7*f. Factor 2/7*y**3 - q*y**2 + f + 0*y.
2*y**2*(y - 1)/7
Let o(y) be the first derivative of 11*y**4/4 + 61*y**3/2 + 45*y**2 + 304*y + 37. Let x(s) be the first derivative of o(s). Factor x(h).
3*(h + 5)*(11*h + 6)
Let r(g) = g**3 + 4*g**2 + g - 1. Let n(m) = -4*m**3 - 22*m**2 + 125*m - 285. Let s(q) = -n(q) - 3*r(q). What is k in s(k) = 0?
-18, 4
Let z = -43573/14 + 3113. Let i(l) be the second derivative of -z*l**3 + l + 3/7*l**2 - 3/35*l**5 + 0 + 3/7*l**4. Factor i(h).
-3*(h - 2)*(2*h - 1)**2/7
Let i(q) be the first derivative of -2*q**3/27 + 7*q**2/9 + 4*q - 326. Determine g, given that i(g) = 0.
-2, 9
Let l(r) be the second derivative of r**4/48 + 25*r**3/24 + 75*r**2/4 - 336*r. Factor l(y).
(y + 10)*(y + 15)/4
Let i(k) be the second derivative of 21/2*k**3 + 0 + 1/5*k**4 + 39/5*k**2 + 113*k. Find f, given that i(f) = 0.
-26, -1/4
Let m(k) be the third derivative of 19*k**5/210 - 457*k**4/42 + 32*k**3/7 + 3*k**2 + 5*k - 21. What is q in m(q) = 0?
2/19, 48
Let r(n) be the third derivative of n**7/210 + n**6/120 - 4*n**5/15 - 2*n**4/3 + 1011*n**2 + 2. Let r(t) = 0. Calculate t.
-4, -1, 0, 4
Let f(v) be the second derivative of -v**6/660 + v**5/22 - 7*v**4/66 + 211*v**2/2 + 2*v - 31. Let j(r) be the first derivative of f(r). Factor j(k).
-2*k*(k - 14)*(k - 1)/11
Let c(s) be the third derivative of -5*s**8/252 - 53*s**7/315 + 11*s**6/36 + 71*s**5/90 - 5*s**4/4 - 2*s**3 + 4*s**2 - 172*s. Solve c(n) = 0 for n.
-6, -1, -3/10, 1
Let w(m) be the third derivative of 0*m - 1/20*m**5 - 11/960*m**6 + 7/16*m**4 + 0 + 1/3*m**3 + 16*m**2. Let w(q) = 0. Calculate q.
-4, -2/11, 2
Let z(c) = -5*c - 137. Let i be z(-29). Suppose t + 5*l - 13 = 0, -4*t + 3*l = 2 - i. Find s, given that -2/5*s**t + 0*s**2 - 1/5*s**4 + 0*s + 0 = 0.
-2, 0
Let y(h) be the third derivative of 1/330*h**5 + 0*h - 19*h**2 + 0 - 8/11*h**3 - 23/132*h**4. Factor y(r).
2*(r - 24)*(r + 1)/11
Let z(l) be the third derivative of 0 - 3/4*l**3 - 5/48*l**6 - 117*l**2 + 7/16*l**4 + 0*l + 1/24*l**5. Find c, given that z(c) = 0.
-1, 3/5
Let h = 1226 - 402. Suppose -h = -3*i + 1384. Find m, given that -60 + 204 + 4*m**2 - 784*m + i*m = 0.
6
Let l = -18766 + 37535/2. Let h(t) be the second derivative of 0*t**3 + 1/4*t**4 - l*t**2 - 39*t + 0. Suppose h(w) = 0. Calculate w.
-1, 1
Let n(m) be the second derivative of m**6/120 + m**5/30 - m**4/24 - m**3/3 - 31*m**2 + 17*m - 2. Let f(z) be the first derivative of n(z). Factor f(y).
(y - 1)*(y + 1)*(y + 2)
Suppose 3*z - 24 = -0*z. Suppose r + 4*v - z = -4, 2*r - v = 8. Suppose 0*y**4 + y - 4*y**5 + 8*y**3 + r*y**4 - 3*y**2 - 5*y + 4 - 5*y**2 = 0. What is y?
-1, 1
Suppose -199*r = 8*r - 48*r - 636. What is v in -r + 52/3*v - 40/3*v**2 = 0?
3/10, 1
Let j = 18736 + -18736. Let a(q) be the first derivative of -3/4*q**2 - 3/10*q**5 + j*q + 1/2*q**3 + 3/8*q**4 - 31. Solve a(b) = 0.
-1, 0, 1
Suppose -3*u - 10 = -t, 48 - 18 = 3*t + 5*u. Factor -f**3 - t*f**2 - 6*f + f**2 - 2*f**3.
-3*f*(f + 1)*(f + 2)
Let p = 709215 - 3546067/5. Solve -p*u + 24/5 - 2/5*u**2 = 0 for u.
-6, 2
Let d(m) be the first derivative of -18 + 0*m - 4/5*m**5 - 2*m**2 + 4/3*m**3 + m**4. Solve d(c) = 0 for c.
-1, 0, 1
Let t = -414075 + 414077. Let -1/2*v**t - 7/2*v + 0 = 0. What is v?
-7, 0
Suppose 5*x + 4*o = -21, -6*o - 91 = x - 40. Let j(t) be the first derivative of 21/4*t - 9/4*t**2 + 26 - 1/4*t**x. Solve j(f) = 0 for f.
-7, 1
Factor -26*b**2 + 100*b**3 - 48*b**4 - 24*b**2 + 5*b**5 + 94*b**2 - 12*b**4 + 50 - 105*b - 34*b**2.
5*(b - 10)*(b - 1)**3*(b + 1)
Let v(u) be the third derivative of -u**8/2688 + u**7/210 - u**6/64 + 14*u**2 + 3. Suppose v(y) = 0. What is y?
0, 3, 5
Let a = 2919/2 + -1459. Let c(y) be the third derivative of 0*y + a*y**3 - 11*y**2 + 0 - 25/48*y**4 - 3/40*y**5. Determine j so that c(j) = 0.
-3, 2/9
Let k = 6143 + -6138. Let x(d) be the second derivative of 15*d - 1/50*d**6 + 0 + 9/100*d**k - 1/10*d**4 + 0*d**3 + 0*d**2. Factor x(s).
-3*s**2*(s - 2)*(s - 1)/5
Let l(r) be the second derivative of 1/4*r**4 + 6/5*r**2 + 0 - 87*r - 3/100*r**5 - 4/5*r**3. Solve l(w) = 0 for w.
1, 2
Factor 3*i**2 + 2*i**2 + 142 - 74 - 38*i + 2*i**2 - 5*i**2.
2*(i - 17)*(i - 2)
Suppose 36 = -0*k + k. Suppose 3*j = 9, -j + 3*j - k = -5*z. Factor 2*h**3 + 0*h**2 - z*h - 4 - 8*h**2 + 16*h.
2*(h - 2)*(h - 1)**2
Factor -36*i**5 - 45*i**5 + 115*i**5 - 7764*i**2 + 9408*i + 900*i**2 - 37*i**5 + 1620*i**3 - 111*i**4.
-3*i*(i - 4)**3*(i + 49)
Let k(m) be the first derivative of -m**3/12 + 26*m**2 + 209*m/4 + 1456. Factor k(w).
-(w - 209)*(w + 1)/4
Factor 680/7 - 62/7*i**2 - 2/7*i**3 + 32*i.
-2*(i - 5)*(i + 2)*(i + 34)/7
Let k(c) be the second derivative of c**7/273 - 71*c**6/195 + 612*c**5/65 + 216*c**4/13 - 1509*c. Suppose k(u) = 0. Calculate u.
-1, 0, 36
Let p(d) = -d**2 + 51*d - 270. Let i be p(6). Let k(h) be the third derivative of i + 0*h - 8*h**2 + 2/21*h**3 - 1/210*h**5 + 1/84*h**4. Solve k(u) = 0.
-1, 2
Factor -128*s**2 - 308*s**2 - 139*s**2 + 48*s**4 + 72*s - 112*s**2 + 537*s**3 + 30*s**4.
3*s*(s - 1)*(s + 8)*(26*s - 3)
Suppose 554*k - 1337 - 879 = 0. Let h(z) be the third derivative of 0 - 1/20*z**5 - 3/8*z**k + 0*z + 0*z**3 - 22*z**2. Suppose h(v) = 0. What is v?
-3, 0
Determine t so that 824*t - 2*t**4 + 34*t**3 + 131 + 11*t**4 - 114 - 177 - 476*t**2 = 0.
-10, 2/9, 2, 4
Factor -10 - 48*u - 25/2*u**2 + 9/2