 = -25*c(b) + 3*f(b). Solve x(r) = 0.
2, 13
Let t(x) be the first derivative of -45*x**3 + 0*x + 45/4*x**4 + 135/2*x**2 - x**5 - 5. Suppose t(y) = 0. Calculate y.
0, 3
Let c = 144 + -144. Let d(a) be the third derivative of 1/16*a**5 - 1/12*a**3 - 1/96*a**4 + 0*a - 5*a**2 + 1/120*a**7 + c - 19/480*a**6. Factor d(k).
(k - 1)**3*(7*k + 2)/4
Let u(v) be the first derivative of 2/45*v**5 - 6 - 1/9*v**2 - 1/27*v**6 + 2/9*v - 4/27*v**3 + 1/9*v**4. Factor u(a).
-2*(a - 1)**3*(a + 1)**2/9
Let g(m) be the second derivative of -5/36*m**4 + 4/9*m**3 - 2*m + 1/60*m**5 - 2/3*m**2 + 0. Find o, given that g(o) = 0.
1, 2
Determine a so that -712 + 3*a**3 - 3*a**4 + 6*a**2 + 712 = 0.
-1, 0, 2
Let m(q) be the second derivative of -q**6/45 - 2*q**5/15 + 2*q**4/3 + 32*q**3/9 - 64*q**2/3 - 174*q. Factor m(j).
-2*(j - 2)**2*(j + 4)**2/3
Factor 10/7*f**4 + 0*f + 2/7*f**5 + 8/7*f**3 + 0 + 0*f**2.
2*f**3*(f + 1)*(f + 4)/7
Let w(t) be the second derivative of t**5/10 - 5*t**4/3 - 13*t**3/3 + 22*t**2 + 253*t. Determine p, given that w(p) = 0.
-2, 1, 11
Factor -32/7 - 24/7*z**2 + 4/7*z**3 + 48/7*z.
4*(z - 2)**3/7
Let n(c) be the third derivative of 104*c**5/15 + 35*c**4/2 + 2*c**3/3 + 12*c**2 + 6*c. Factor n(t).
4*(t + 1)*(104*t + 1)
Let t = 533 + -529. Let x(w) be the third derivative of 0*w + 5*w**2 + 1/60*w**6 + 0*w**t + 0*w**3 + 0*w**5 + 0 - 1/105*w**7. Let x(j) = 0. Calculate j.
0, 1
Let y(a) be the second derivative of 1/6*a**4 - 44*a + 0 + 8*a**2 + 2*a**3. Factor y(f).
2*(f + 2)*(f + 4)
Let b(w) be the first derivative of -2*w**5/5 - 3*w**4/2 + 10*w**3/3 + 3*w**2 - 8*w - 204. Factor b(t).
-2*(t - 1)**2*(t + 1)*(t + 4)
Let p be ((-13)/26)/(-5 + 45/12). Let n(i) be the first derivative of 0*i**2 + 0*i + 1/2*i**4 + 0*i**3 + 9 + p*i**5. Factor n(t).
2*t**3*(t + 1)
Let f(t) = 21*t**3 - 144*t**2 - 339*t - 150. Let c(u) = -2*u**3 - 2*u**2 + u - 1. Let m(q) = -12*c(q) - f(q). Determine x, given that m(x) = 0.
-54, -1
Factor 3/4*z**3 - 27/4*z**2 - 135/8*z + 7/8*z**4 + 1/8*z**5 - 81/8.
(z - 3)*(z + 1)*(z + 3)**3/8
Let p(l) be the third derivative of -3/200*l**6 - 38*l**2 + 0*l - 1/5*l**3 + 1/100*l**5 + 1/350*l**7 + 3/40*l**4 + 0. Solve p(b) = 0.
-1, 1, 2
Let u(f) = 5*f**3 + 198*f**2 + 441*f + 220. Let z(r) = -45*r**3 - 1790*r**2 - 3970*r - 1980. Let k(h) = -35*u(h) - 4*z(h). Solve k(s) = 0 for s.
-44, -1
Let n(s) = s**3 + 7*s**2 + 6*s. Let c be n(-6). Suppose 2*o - 4 = 0, c*o - 2*o = 2*f - 14. Factor -16*q**2 + 14*q**2 - 3*q**3 + f - 5.
-q**2*(3*q + 2)
Suppose 7*p = -4*d, -p - 13*d + 12*d = 3. Factor -2*t**3 + 8/5*t**2 + 0 + 0*t + 2/5*t**p.
2*t**2*(t - 4)*(t - 1)/5
Suppose -86 + 58 + 3*g**2 - 197 + 2*g**2 - 35 - 255*g = 0. What is g?
-1, 52
Let b = -158 + 307/2. Let m = b + 5. Factor -m*g**2 - g**4 + 0*g - 3/2*g**3 + 0.
-g**2*(g + 1)*(2*g + 1)/2
Let f(r) be the first derivative of -2/3*r**2 + 21 + 2/9*r**3 + 0*r. Factor f(d).
2*d*(d - 2)/3
Suppose 3*f = 4*q + 20, 4*f - 5*q + 3 = 29. Let a be f/(-24) + (0 - (-52)/24). Factor -6/7*u**3 + 6/7*u - 4/7 + 4/7*u**a.
-2*(u - 1)*(u + 1)*(3*u - 2)/7
Let t(m) be the second derivative of m**4/14 + 4*m**3/7 + 12*m**2/7 - 53*m + 2. Factor t(n).
6*(n + 2)**2/7
Let n(j) be the first derivative of 2*j**5/25 + j**4 + 22*j**3/5 + 44*j**2/5 + 8*j - 714. Let n(t) = 0. What is t?
-5, -2, -1
Let n(b) = -9 - b**3 + 1 - 4*b + 6*b**2 - 1 + 8. Let p(o) = -o**3 + 1. Let c(a) = n(a) + p(a). Find f, given that c(f) = 0.
0, 1, 2
What is g in 9/4*g**5 - 35/4*g**3 - 33/4*g**4 + 2 + 105/4*g**2 - 27/2*g = 0?
-2, 1/3, 1, 4
Factor -107/5*s + 42 + 1/5*s**2.
(s - 105)*(s - 2)/5
Factor -168/11*f**3 - 2/11*f**4 + 0 + 0*f**2 + 0*f.
-2*f**3*(f + 84)/11
Factor 0*l**2 - 7/2*l - 3 + 1/2*l**3.
(l - 3)*(l + 1)*(l + 2)/2
Let t be ((-60)/(-230)*-23)/(-5 + 1 - -1). Factor -2/7*z - 4/21 - 2/21*z**t.
-2*(z + 1)*(z + 2)/21
Factor -252 - 131*l**2 + 4*l**3 - 132*l + 242*l**2 - 115*l**2.
4*(l - 7)*(l + 3)**2
Find w such that -9 + 75/8*w - 3/8*w**2 = 0.
1, 24
Determine g, given that 107*g**4 - 157*g**4 + 10*g**3 - 25*g**3 = 0.
-3/10, 0
Let j(f) = -f**2 + f - 5. Let c(s) = -4*s**2 + 32*s - 62. Let w(l) = c(l) - 2*j(l). Factor w(y).
-2*(y - 13)*(y - 2)
Factor -2/7*w**4 + 0 - 50/7*w - 10*w**2 - 22/7*w**3.
-2*w*(w + 1)*(w + 5)**2/7
Let i(t) = -32*t**2 - 20*t + 132. Let o(w) = 13*w**2 + 8*w - 53. Let r(c) = 5*i(c) + 12*o(c). What is q in r(q) = 0?
-3, 2
Let d(u) = 15*u**3 - u**2 + u - 1. Let b be d(1). Determine m so that 18*m - 3*m**2 + b - 13 - 28 = 0.
3
Let v(r) be the first derivative of r**7/840 + r**6/480 - r**5/80 - r**4/96 + r**3/12 - 3*r**2 - 11. Let c(o) be the second derivative of v(o). Factor c(a).
(a - 1)**2*(a + 1)*(a + 2)/4
Let n be 6/8 - 1*52/(-16). Factor -2*w**5 + 3*w**3 - 2*w**5 - 48*w**3 - 27*w**2 - 21*w**n + w**5.
-3*w**2*(w + 1)*(w + 3)**2
Suppose 16*q - 18*q = 5*b - 6, -q + 3 = -3*b. Solve b + 5/2*z - 5/2*z**2 = 0 for z.
0, 1
Let r = 309 + -309. Let t(k) = k**2 - 2*k - 1. Let l be t(3). What is g in -1/5*g**3 + 0*g + 2/5*g**l + r = 0?
0, 2
Let q(z) be the second derivative of -z**7/735 - z**6/420 + z**5/210 + z**4/84 - 11*z**2/2 + 13*z. Let b(w) be the first derivative of q(w). Factor b(l).
-2*l*(l - 1)*(l + 1)**2/7
Let u(k) be the first derivative of -1/18*k**4 + 0*k**2 + 6 + 3*k - 1/9*k**3. Let g(n) be the first derivative of u(n). Find w such that g(w) = 0.
-1, 0
Suppose 3*b - 4*z + 7 = 0, 7*z - 10*z + 9 = -b. Let s(x) be the first derivative of 2 - 3*x**2 - 1/2*x**4 - 2*x - 2*x**b. Find r, given that s(r) = 0.
-1
Let n(o) = -2*o - 24. Let v(w) = -3*w - 23. Let l(z) = 5*n(z) - 4*v(z). Let j be l(14). Solve 0*k**3 + 0*k**2 + 0*k - 4/7*k**4 - 6/7*k**5 + j = 0.
-2/3, 0
Let i(b) be the third derivative of -b**7/1470 + b**6/420 + b**5/140 - b**4/42 - 2*b**3/21 - 5*b**2 + 3*b. Suppose i(g) = 0. What is g?
-1, 2
Suppose k = 2*k - 6*k. Let v(t) be the second derivative of 0*t**3 + 1/12*t**4 - 5*t + 0 + k*t**2. Determine m so that v(m) = 0.
0
Let m(u) be the second derivative of u**6/360 - u**5/45 + u**4/18 - 6*u**2 - 8*u. Let x(o) be the first derivative of m(o). What is v in x(v) = 0?
0, 2
Let c(j) be the second derivative of j**4/60 - j**3/10 - 87*j. Determine r, given that c(r) = 0.
0, 3
Let o(n) = -21*n**4 - 15*n**3 - 7*n**2 - 2*n - 11. Let a(v) = 2*v**4 + 2*v**3 + 2*v**2 + v + 1. Let m(b) = -44*a(b) - 4*o(b). Factor m(k).
-4*k*(k + 1)*(k + 3)**2
Let c = 85 + -79. Let r be 16/3 + (-4)/c - 4. What is v in 0*v - r*v**4 + 0 - v**3 - 1/3*v**2 = 0?
-1, -1/2, 0
Suppose 6 = 29*h - 26*h. What is q in -5*q**h - q + 21*q + 3*q**2 - 2*q**2 = 0?
0, 5
Let o(d) = 6*d**2 - 80*d + 30. Let v be o(13). Factor -l**v + 0*l - 1/2*l**2 + 3/2*l**3 + 0.
-l**2*(l - 1)*(2*l - 1)/2
Let c(f) = -f + 1. Let o = -118 - -116. Let n be c(o). Suppose 6*a**n - 1/4 - 3/2*a - 4*a**4 - 1/4*a**2 = 0. Calculate a.
-1/4, 1
Let l = -655/2 + 328. Let c(m) be the second derivative of 2*m + 1/10*m**5 + 0 + m**2 + m**3 + l*m**4. Find q such that c(q) = 0.
-1
Factor 29 - 12*k**2 + 77 + 5*k**3 - 3*k**2 - 50*k - 9 + 23.
5*(k - 4)*(k - 2)*(k + 3)
Suppose 0 + 0*q + 1/4*q**2 - 1/8*q**3 = 0. Calculate q.
0, 2
Let d(w) be the second derivative of 0 - 1/40*w**6 - 3/40*w**5 + w + 3/16*w**4 + 1/2*w**3 - 3/2*w**2. Find o such that d(o) = 0.
-2, 1
Let i(v) be the first derivative of v**6/18 + v**5/5 - v**4/2 - 8*v**3/9 + 393. Let i(p) = 0. Calculate p.
-4, -1, 0, 2
Let v(s) be the third derivative of -s**10/9450 + s**9/1008 - s**8/420 - s**7/315 - s**5/6 - 17*s**2. Let g(c) be the third derivative of v(c). Factor g(b).
-4*b*(b - 2)**2*(4*b + 1)
Let z(f) be the third derivative of f**7/42 - f**6/12 - f**5/4 - 53*f**2 - 3*f. Factor z(t).
5*t**2*(t - 3)*(t + 1)
Let k = -343 + 577. Find c such that -k*c - 2*c**2 + 234*c - 2*c**2 = 0.
0
Determine o, given that 588*o + 5488 + 21*o**2 + 1/4*o**3 = 0.
-28
Let y(j) = -9*j**3 + 33*j**2 + 10*j - 295. Let n(u) = -4*u**3 + 16*u**2 + 6*u - 148. Let i(r) = -5*n(r) + 2*y(r). Factor i(s).
2*(s - 5)**2*(s + 3)
Factor 1/7*j**4 + 4225/7*j + 43/7*j**3 + 8788/7 + 663/7*j**2.
(j + 4)*(j + 13)**3/7
Let c(y) be the first derivative of 45 + 0*y + 100/3*y**3 + 3*y**5 + 35/2*y**4 + 20*y**2. Find s, given that c(s) = 0.
-2, -2/3, 0
Let k be 15/(-63) - -1 - 630/1470. Factor 0 + 0*n - k*n**2.
-n**2/3
Suppose -61 = 8*i - 13. Let v be i/18 - ((-13)/3 + 1). Determine y, given that -10/13*y**2 + 2/13*