**5/4 - 49*i**4/12 + 4*i**3 + 1657*i**2. Determine u so that j(u) = 0.
-12/5, 2/3, 1
Let v(q) be the third derivative of 0*q**3 + 1/1512*q**8 + 0*q**5 + 3*q**2 + 0*q**4 + 0*q + 2/945*q**7 - 1/180*q**6 - 7. Let v(k) = 0. Calculate k.
-3, 0, 1
Let z(n) be the third derivative of n**5/240 + 359*n**4/48 - 719*n**3/24 + 469*n**2 - 8. Solve z(a) = 0.
-719, 1
Let t(z) = -z**3 - 19*z**2 - 59*z + 15. Let s be t(-15). Solve 3*p + 12*p + s*p + 4*p**2 - 7*p + 0*p = 0.
-2, 0
Let f be -7 + ((1470/(-9))/7 - -19)*18/(-10). Solve 2/5*s**5 + 16/5*s**3 - 18/5*s + 8/5 - 12/5*s**4 + f*s**2 = 0 for s.
-1, 1, 4
Let z(m) be the second derivative of -1/57*m**3 + 1/114*m**4 + 1/190*m**5 - 1/285*m**6 + 0*m**2 + 51 - 2*m. Factor z(q).
-2*q*(q - 1)**2*(q + 1)/19
Let g(f) = -4*f - 1 + 2*f - 22*f**2 + 16*f**2 + f**3 + 4*f**2. Let o(q) = -4*q**3 + 68*q**2 - 438*q - 1154. Let k(d) = -2*g(d) - o(d). Factor k(m).
2*(m - 17)**2*(m + 2)
Let a(h) be the first derivative of -5*h**3/3 + 1895*h**2/2 + 1900*h + 1020. Determine r so that a(r) = 0.
-1, 380
Suppose 493*p + 9*u + 266 = 498*p, 0 = 4*p - 3*u - 154. Factor -p + 1/2*r**2 + 55/2*r.
(r - 1)*(r + 56)/2
Let t(z) be the first derivative of -9*z**3 - 1617*z**2 + 720*z + 8912. Solve t(b) = 0 for b.
-120, 2/9
Let j(m) = 23*m**2 - 2*m - 1. Let i(y) = 70*y**2 + 595*y + 1791. Let v(p) = -5*i(p) + 15*j(p). What is c in v(c) = 0?
-598, -3
Let d(z) = 3*z**3 - 140*z**2 + 89*z + 140. Let h be d(46). Factor 10/3*b + 2/3*b**4 - 10/3*b**3 - 2/3*b**h + 0.
2*b*(b - 5)*(b - 1)*(b + 1)/3
Let g be (2 + -4)/((-20)/50). Suppose -3*r = 9, g*m - 7*r - 16 = -5*r. Factor 5/2*y + 15/4*y**3 + 25/4*y**m + 0.
5*y*(y + 1)*(3*y + 2)/4
Let o be (196/(-20) - -10)*(-1 + (-4)/(-3)). Let h(r) be the second derivative of -2/3*r**4 + 0 + o*r**5 - 16/3*r**2 + 2*r + 8/3*r**3. Factor h(l).
4*(l - 2)**3/3
Let t be (-5)/3*3*(-24)/20. Factor -39*a + 5*a**2 + 90 + t*a**2 - 14*a**2 + 6*a**2.
3*(a - 10)*(a - 3)
Let x(b) be the first derivative of b**5/12 + 11*b**4/18 + 23*b**3/18 + b**2 + 61*b - 5. Let a(q) be the first derivative of x(q). Determine l so that a(l) = 0.
-3, -1, -2/5
Suppose 0 + 3/5*a**4 - 12/5*a**3 - 6/5*a + 3*a**2 = 0. Calculate a.
0, 1, 2
Let q be 291*5*(46/(-3) - -15). Let k = q - -535. Solve -6*m**2 - k + 2/5*m**3 + 30*m = 0.
5
Let a(l) = -3*l**4 - 22*l**3 - 33*l**2 - 18*l. Let x(y) = 22*y**3 + 19*y**3 - 62*y**3 + 20*y**3. Let b(r) = -a(r) + 4*x(r). Factor b(n).
3*n*(n + 1)*(n + 2)*(n + 3)
Let t(x) be the first derivative of -5*x**6/6 - 99*x**5 - 6705*x**4/2 - 56590*x**3/3 - 28905*x**2/2 + 99405*x - 1625. Suppose t(k) = 0. Calculate k.
-47, -3, 1
Let q(c) be the second derivative of -c**5/200 + 373*c**4/40 - 139129*c**3/20 + 51895117*c**2/20 + 291*c. Factor q(p).
-(p - 373)**3/10
Let v(g) be the first derivative of -35 - 1/10*g**5 + 19*g**2 + 1/40*g**6 + 0*g**3 + 1/8*g**4 + 0*g. Let s(m) be the second derivative of v(m). Factor s(i).
3*i*(i - 1)**2
Let f = 1288 - 1280. Suppose -n - 4*a = -f*a - 6, 0 = -4*n + 4*a + 12. Let 3/2*k**n + 11/4*k + 3/2 + 1/4*k**3 = 0. What is k?
-3, -2, -1
Let k = 36292 + -181456/5. Solve -4/5*l**2 - 2/5*l + k*l**4 + 2/5*l**5 + 0 + 0*l**3 = 0 for l.
-1, 0, 1
Let r(o) be the second derivative of -o**7/294 + o**6/30 + 41*o**5/140 + 11*o**4/28 - 2*o + 2243. Let r(x) = 0. What is x?
-3, -1, 0, 11
Let j(p) be the first derivative of 12/7*p**3 - 9/14*p**4 + 3/35*p**5 + 28 + 9/7*p - 15/7*p**2. Solve j(a) = 0.
1, 3
Let d(w) be the second derivative of -w**4/48 + 487*w**3/12 + 975*w**2/8 + 80*w + 9. Find r such that d(r) = 0.
-1, 975
Let o(n) be the first derivative of 7*n**5/60 + n**4/12 - 5*n**2/2 + 2*n - 114. Let v(x) be the second derivative of o(x). Factor v(w).
w*(7*w + 2)
Let i(f) be the first derivative of -3*f**5/5 - 9*f**4/2 - 9*f**3 - 426. Determine t so that i(t) = 0.
-3, 0
Let a = 3184/545 + -568/545. Suppose -36/5 - 3/5*c**2 + a*c = 0. Calculate c.
2, 6
Let n(k) be the second derivative of -9*k**4/4 + 19*k**3 - 60*k**2 - 1125*k. Determine i so that n(i) = 0.
2, 20/9
Let v = -2157 + 3142. Find t, given that -v*t - 20 + 1010*t - 4*t**2 - t**2 = 0.
1, 4
Let u(y) = -7*y**3 - 27*y**2 + 558*y + 3518. Let f(t) = -50*t**3 - 190*t**2 + 3905*t + 24625. Let o(a) = 2*f(a) - 15*u(a). Solve o(s) = 0 for s.
-8, 11
Let j = 2258 - 2254. Let c be (j - (-4 + 11)) + 7. Factor -4/7*t**2 + 0 + c*t.
-4*t*(t - 7)/7
Suppose -141*v - 75 = -10*b - 146*v, -3*b - 5*v + 40 = 0. Solve -6300*p + 3610*p**2 - 2881/9*p**3 - 1/9*p**b + 92/9*p**4 + 3000 = 0.
1, 30
Let g(n) = -3*n**3 - 35*n**2 + 77*n - 39. Let u(f) = 12*f**3 + 141*f**2 - 309*f + 156. Let l(p) = -9*g(p) - 2*u(p). Determine s so that l(s) = 0.
-13, 1
Suppose -8*y = -3*y. Factor -h**2 + 16 + 2*h**3 + y - 5*h**2 - 1650*h + 1638*h.
2*(h - 4)*(h - 1)*(h + 2)
Let b = -42233 + 168017/4. Let n = 229 + b. Find v such that -n*v**2 - 1/4 + 1/2*v = 0.
1
Let c be 0*(-3 - 0)/6. Let n be c + 0 - (3 + -143)/5. Solve -12*o**4 + 69 - 69 - 8*o**2 - n*o**3 = 0.
-2, -1/3, 0
Let j(i) be the third derivative of -7*i**8/72 - 107*i**7/9 + 506*i**6/15 + 2548*i**5/45 - 1012*i**4/9 + 208*i**3/3 + i**2 - 516. Solve j(x) = 0.
-78, -1, 2/7, 2
Let m(k) be the second derivative of -k**5/30 + k**4/4 + 6*k**3 + 71*k**2 - 9*k - 5. Let p(d) be the first derivative of m(d). Solve p(t) = 0 for t.
-3, 6
Let o(z) be the third derivative of z**5/80 - 7*z**4/32 - 39*z**3/4 - 1121*z**2 - 1. Factor o(h).
3*(h - 13)*(h + 6)/4
Let i(j) be the third derivative of -3*j**2 + 7/270*j**5 + 10*j + 0 - 1/54*j**4 + 0*j**3. Factor i(h).
2*h*(7*h - 2)/9
Let t(f) be the second derivative of -35*f**4/12 + 100*f**3/3 + 30*f**2 - 1190*f. What is h in t(h) = 0?
-2/7, 6
Solve -15*u + 0 - 5/2*u**5 + 149/2*u**2 + 11/2*u**3 - 29/2*u**4 = 0.
-5, -3, 0, 1/5, 2
Let c be (-18)/(-33) - (72/48)/((-44)/(-8)). Let s(n) be the first derivative of 1/33*n**3 - 1/44*n**4 + c*n + 39 + 5/22*n**2. Factor s(y).
-(y - 3)*(y + 1)**2/11
Let d(u) be the first derivative of -u**9/5292 + u**8/980 - 2*u**6/315 - 25*u**3/3 - 56. Let x(j) be the third derivative of d(j). Factor x(l).
-4*l**2*(l - 2)**2*(l + 1)/7
Let q(i) be the first derivative of 2*i**5/65 - 3*i**4/26 - 4*i**3 + 80*i**2/13 + 3645. Solve q(p) = 0.
-8, 0, 1, 10
Factor 5/3*c**2 + 460/3 + 155*c.
5*(c + 1)*(c + 92)/3
Solve -436/13 + 2/13*r**2 + 214/13*r = 0.
-109, 2
Let b(a) be the first derivative of -a**4/18 + 22*a**3/27 + 5*a**2 - 126*a + 2915. Solve b(k) = 0.
-7, 9
Let h(q) be the third derivative of q**8/504 + q**7/35 - 5*q**6/36 - 173*q**5/90 - 20*q**4/3 - 100*q**3/9 - 1830*q**2. Determine m, given that h(m) = 0.
-10, -2, -1, 5
Let r(c) be the third derivative of c**6/360 + 2*c**5/45 + 2*c**4/9 - 1987*c**2. Suppose r(q) = 0. What is q?
-4, 0
Let u = 3953/154674 - -1/11898. Let l(m) be the second derivative of 16*m + 0*m**2 + 0 - 1/39*m**3 + u*m**4 - 1/130*m**5. What is t in l(t) = 0?
0, 1
Find t, given that 644/17*t + 2/17*t**2 - 38 = 0.
-323, 1
Let k(t) be the first derivative of -9*t**5/70 + 5*t**4/6 - 32*t**3/21 - 4*t**2/7 - 70*t - 12. Let x(d) be the first derivative of k(d). Factor x(j).
-2*(j - 2)**2*(9*j + 1)/7
Factor -557/4 - 279/2*q - 1/4*q**2.
-(q + 1)*(q + 557)/4
Let s(d) = -2*d**2 - 49*d - 11. Let l be s(-24). Suppose -l*p - 25 = -18*p. Let -16/5*a**2 - 24/5*a**3 - 16/5*a**4 + 0 - 4/5*a - 4/5*a**p = 0. What is a?
-1, 0
Let j(d) = -3*d**2 + 4*d + 2. Let b be j(0). Let f(m) be the third derivative of -41*m**b + 0*m + 5/132*m**4 - 3/22*m**3 + 0 - 1/660*m**5. Solve f(t) = 0.
1, 9
Let v(c) be the first derivative of -c**4/22 - 100*c**3/33 + 104*c**2/11 + 6890. Solve v(x) = 0 for x.
-52, 0, 2
Let i(s) = -512*s**3 - 2771*s**2 + 33*s - 23. Let q(n) = -64*n**3 - 342*n**2 + 4*n - 3. Let y(w) = 3*i(w) - 23*q(w). Find h such that y(h) = 0.
-7, 0, 1/64
Let k = -1151 - -1149. Let g be (-1722)/(-336) + (-1 + -6 - k). Factor 5/8*d + 0 - g*d**3 + 1/2*d**2.
-d*(d - 5)*(d + 1)/8
Factor -34/13*v**2 - 2/13*v**3 - 6 - 110/13*v.
-2*(v + 1)*(v + 3)*(v + 13)/13
Let u(l) be the second derivative of -87*l + 1/42*l**4 - 5/7*l**2 + 0 - 4/21*l**3. Suppose u(k) = 0. What is k?
-1, 5
Let p = 161305/2016 + -9205/96. Let u = p + 148/9. Determine r so that -2/7*r**5 + u*r + 10/7*r**2 + 0 - 2/7*r**4 + 6/7*r**3 = 0.
-1, 0, 2
Let a be (32/(-6))/((-21)/63). Suppose 15*j = 11*j + a. Let 3 - 9*p**j - 8 - 7*p**4 + 10*p**2 + 11*p**4 = 0. Calcu