of b(l). Factor x(i).
3*(i - 1)*(i + 9)/2
Let o = 337 - 330. Factor -18*v - 2 + 6 - o*v**2 + 4 + 2*v**2.
-(v + 4)*(5*v - 2)
Let t(s) = s**2 + 52*s - 461. Let l be t(8). Let w(x) be the second derivative of l*x - 3*x**2 + 0 + 1/4*x**4 + 1/2*x**3. Suppose w(o) = 0. Calculate o.
-2, 1
Let 0 + 17/5*i**3 + 28/5*i + 1/5*i**4 + 44/5*i**2 = 0. Calculate i.
-14, -2, -1, 0
Let l(p) be the second derivative of -1 - 32*p**2 + 94/3*p**3 + p**4 + 10*p. Factor l(y).
4*(y + 16)*(3*y - 1)
Let k = -60/27341 + 1831967/54682. Solve 25/2*g**4 + 11*g + k*g**2 + 69/2*g**3 + 0 + 1/2*g**5 = 0.
-22, -1, 0
Factor 267*i - 467*i**3 + 270*i**2 + 905*i**3 - 435*i**3.
3*i*(i + 1)*(i + 89)
Let c(s) = -2*s**4 - 63*s**3 + 26*s**2 + 243*s - 3. Let m(l) = -3*l**4 - 62*l**3 + 24*l**2 + 242*l - 2. Let i(v) = 2*c(v) - 3*m(v). Factor i(j).
5*j*(j - 2)*(j + 2)*(j + 12)
Find v, given that -1336/5*v**3 - 10496/5 - 15776/5*v - 1584*v**2 - 4/5*v**4 = 0.
-328, -2
Let a(w) be the second derivative of w**7/42 - 29*w**6/30 + 39*w**5/10 + 2292*w. Factor a(o).
o**3*(o - 26)*(o - 3)
Let b = -5 + 68. Let u = -61 + b. Factor 27*t**5 + 2*t**3 + t**3 - t**4 + u*t**4 - 19*t**4.
3*t**3*(3*t - 1)**2
Let l(s) be the first derivative of 16 - 21*s - 5/18*s**4 + 7/9*s**3 - 2/3*s**2. Let c(v) be the first derivative of l(v). Let c(p) = 0. What is p?
2/5, 1
Let z be (-3)/2 + 330/12. Suppose z*w - 47 = -21. Factor -5/4*s - w - 1/4*s**2.
-(s + 1)*(s + 4)/4
Let u(l) = 4*l. Let i(j) be the third derivative of -j**5/60 - 85*j**2. Let r be -1*(-3)/(2 + 1). Let k(y) = r*i(y) - u(y). Factor k(x).
-x*(x + 4)
Let 4/5*h**2 + 0*h - 2/15*h**4 - 2/15*h**3 + 0 = 0. What is h?
-3, 0, 2
Let d(q) be the third derivative of q**5/15 + 19*q**4/6 + 12*q**3 + 129*q**2 - 53*q. Find f such that d(f) = 0.
-18, -1
Let z(a) be the first derivative of a**3/3 - 1341*a**2/2 - 7099. Find o, given that z(o) = 0.
0, 1341
Let s(y) = 2*y**3 - y**2 - 3*y. Let r(q) = -29*q**3 + 401*q**2 + 43*q - 387. Let d(a) = 3*r(a) + 42*s(a). Factor d(p).
-3*(p - 387)*(p - 1)*(p + 1)
Let j be (-135 - -102) + (-3262)/(-98). Suppose -16/7 + 2*q + j*q**2 = 0. What is q?
-8, 1
Let r(f) be the first derivative of -f**6/24 - f**5/3 - 5*f**4/6 + f**2/2 - 15. Let i(g) be the second derivative of r(g). Factor i(t).
-5*t*(t + 2)**2
Let l(d) be the second derivative of -4*d**7/357 - 5*d**6/51 + 27*d**5/85 - d**4/6 - 8*d**3/51 - 2660*d. What is k in l(k) = 0?
-8, -1/4, 0, 1
Factor 134625 + 5*a**2 - 135305 - 351*a + 21*a.
5*(a - 68)*(a + 2)
Let k(c) = -c**3 + 25*c**2 + 54*c + 51. Let z be k(27). Factor 195*b**2 - z*b**4 - 519*b**3 - 105*b**3 - b**5 + 481*b**2.
-b**2*(b - 1)*(b + 26)**2
Let h(m) be the second derivative of -5*m**7/4 - 59*m**6/12 - 15*m**5/4 + 5*m**4/3 + 1186*m. Determine t, given that h(t) = 0.
-2, -1, 0, 4/21
Let n(o) be the first derivative of -o**5/5 - 3343*o**4/20 - 2002*o**3/15 + 668*o**2/5 - 7647. What is b in n(b) = 0?
-668, -1, 0, 2/5
Let j(x) = 11*x**2 + 20*x - 15. Let k(l) = 39*l**2 + 60*l - 43. Let n(t) = 14*j(t) - 4*k(t). Factor n(p).
-2*(p - 19)*(p - 1)
Let y(s) = s**3 + 242*s**2 + 948*s - 950. Let q be y(-238). Factor 20/3*f + 0 + 2/3*f**q.
2*f*(f + 10)/3
Suppose 57*m - 25*m = -26*m. Let z(u) be the second derivative of -12/5*u**4 + 3/2*u**6 - 13*u + 24/5*u**2 + m + 24/5*u**3 - 21/5*u**5. Solve z(x) = 0.
-2/5, 2/3, 2
Let h(n) = n**3 + 1. Let q be h(1). Suppose 14 = -3*y + 4*d, -d + 13 = 6*y - q*y. Solve -20*t**3 - 9*t**2 + 6*t**y + 4*t**5 + 32*t - 4*t**4 + 7*t**2 + 16 = 0.
-1, 2
Let r(w) be the second derivative of -w**6/30 + w**5/20 + w**4/4 - 5*w**3/6 + w**2 + 653*w. Find t such that r(t) = 0.
-2, 1
Let j(g) be the first derivative of 19/32*g**4 + 0*g - 7/20*g**5 + 1/16*g**6 + 57 - 1/6*g**3 - 1/4*g**2. Solve j(i) = 0.
-1/3, 0, 1, 2
Let y = -158 + 161. Suppose 4*g**4 - 4*g**y + 13*g**2 + 7*g**5 - 5*g**5 - 4 - 29*g**2 - 14*g = 0. Calculate g.
-1, 2
Let c(m) be the first derivative of -32/7*m - 10/7*m**2 - 26 - 2/21*m**3. Solve c(o) = 0 for o.
-8, -2
Let a(p) = -96*p**3 + 231*p**2 - 24*p - 9. Let b(l) = 196*l**3 - 462*l**2 + 49*l + 17. Let g(n) = 5*a(n) + 3*b(n). Factor g(w).
3*(w - 2)*(4*w - 1)*(9*w + 1)
Let n(v) = v**5 + v**4 - 2*v**3 + v. Let l(k) = 6*k**5 - 98*k**4 + 936*k**3 - 4060*k**2 + 7842*k - 5488. Let y(s) = -l(s) + 2*n(s). Factor y(h).
-4*(h - 7)**3*(h - 2)**2
Let n(j) be the third derivative of j**5/12 + 725*j**4/3 + 841000*j**3/3 - 92*j**2 + 2*j. Factor n(c).
5*(c + 580)**2
Let h = 795 - 815. Let k be (-147)/(-98) - (-14)/h. Suppose -3/5 - 1/5*r**2 + k*r = 0. What is r?
1, 3
Let h(r) = -2*r**3 + 19*r**2. Suppose -2*l + 0*l + 3*c = -9, -5*l = -3*c. Let p(y) = y**3 - 10*y**2. Let w(g) = l*h(g) - 5*p(g). Determine a so that w(a) = 0.
0, 7
Suppose -4*c = -4*b - 52, -16462*b + 16461*b + 3*c - 39 = 0. Factor b - 2/13*a**3 + 14/13*a**2 + 16/13*a.
-2*a*(a - 8)*(a + 1)/13
Factor 98/17*p**3 + 190/17*p**2 + 0 + 94/17*p + 2/17*p**4.
2*p*(p + 1)**2*(p + 47)/17
Let i = -214 + 223. Suppose -i = -10*c + 11. Determine q, given that -8/7*q + 0 - 2/7*q**c = 0.
-4, 0
Factor 1/5*h**3 + 147/5*h - 343/5 - 21/5*h**2.
(h - 7)**3/5
What is t in -120 + 124/15*t**3 - 2042/15*t**2 + 248*t - 2/15*t**4 = 0?
1, 30
Let c = 134/227 - 175/681. Factor 3*m + c*m**2 + 8/3.
(m + 1)*(m + 8)/3
Let u(z) be the first derivative of 6 + 0*z**2 - 2/21*z**3 + 2/7*z. Factor u(x).
-2*(x - 1)*(x + 1)/7
Let m(w) be the first derivative of -27*w**5/5 + 18*w**4 - 16*w**3 - 6611. Factor m(y).
-3*y**2*(3*y - 4)**2
Let w(q) be the first derivative of -2*q**3/3 - 106*q**2 + 214*q + 4874. Suppose w(u) = 0. Calculate u.
-107, 1
Let v(o) be the first derivative of -o**6/900 + o**4/15 + o**3/3 + 67*o - 98. Let w(z) be the third derivative of v(z). Factor w(x).
-2*(x - 2)*(x + 2)/5
Let b = 6 + -4. Let c be (1 + 5)*(70/168 + 6/(-8)) - -6. Factor 2/9*g**c + 0*g + 0 + 4/9*g**b + 2/3*g**3.
2*g**2*(g + 1)*(g + 2)/9
Let i = -12197/22 + 6148/11. Factor -21/4*b + i + 3/4*b**2.
3*(b - 6)*(b - 1)/4
Let a be -6*2*4/(-16). Suppose -5*t + 15 = -5*s, t - 1 = -s + 6. Factor s*w**3 - a*w**3 + 6*w**3 + 3*w**3 - 4*w**4.
-4*w**3*(w - 2)
Suppose 4*s - 4*r - 12 = 0, -2*r = -4*s - 5*r + 19. Let z be (-4)/(-10) - (s - 957/220). Determine f, given that 3*f**3 + 3*f - 3/4 - z*f**4 - 9/2*f**2 = 0.
1
Suppose 0 = 4*n + 2*x - 30, 0*n + 3*n + 3*x = 30. Let -c**n + c + c**4 + c - 18*c**3 - 7*c**2 + 21*c**3 + 2*c**2 = 0. What is c?
-2, 0, 1
Let q = 442 - 436. Find d, given that 4*d**3 + d**4 - 3*d**4 - d**2 - q*d + d**4 + 0 + 0 = 0.
-1, 0, 2, 3
Let j(l) be the third derivative of -11*l**8/252 - 2*l**7/9 + 47*l**6/120 - 7*l**5/90 - l**4/9 + 1839*l**2 - 2*l. What is u in j(u) = 0?
-4, -2/11, 0, 1/2
Let v(a) be the third derivative of a**5/510 + a**4/4 - 406*a**3/51 + 990*a**2. Find s such that v(s) = 0.
-58, 7
Let 600/7*h**4 - 243270/7*h**3 - 185520/7*h - 29304/7 - 378054/7*h**2 = 0. What is h?
-3/4, -2/5, 407
Let x be -1 + -6 + 1/6*(-880)/(-20). Factor 4/3*y**4 + 0*y**2 + x*y**5 + y**3 + 0 + 0*y.
y**3*(y + 1)*(y + 3)/3
Let k(u) be the first derivative of u**7/6300 + u**6/675 - u**5/180 - 15*u**3 - 149. Let r(a) be the third derivative of k(a). Factor r(i).
2*i*(i - 1)*(i + 5)/15
Determine o so that 729/2 + 198*o**2 + 2511/4*o - 145/2*o**4 - 25/4*o**5 - 263/2*o**3 = 0.
-9, -9/5, -1, 2
Let z(l) = -6*l**3 + 1299*l**2 - 71936*l + 35639. Let j(s) = 6*s**3 - 1302*s**2 + 71937*s - 35640. Let q(b) = 4*j(b) + 3*z(b). Let q(u) = 0. What is u?
1/2, 109
Let c(u) be the first derivative of -u**5/420 + u**4/42 - 25*u**2/2 + 3*u - 54. Let b(p) be the second derivative of c(p). Factor b(j).
-j*(j - 4)/7
Let b be (-22)/(-2) - ((-6023)/(-570) + 2/(-30)). Determine v so that 1/4*v**3 + 0 + 1/4*v + b*v**2 = 0.
-1, 0
Let y(v) be the second derivative of -v**5/20 + 43*v**4/12 + v**3/6 - 43*v**2/2 + 2646*v. Factor y(j).
-(j - 43)*(j - 1)*(j + 1)
Let k = 1063023/184876 - -7/92438. Factor -7*v + 3 + k*v**2 - 2*v**3 + 1/4*v**4.
(v - 3)*(v - 2)**2*(v - 1)/4
Suppose -3*o - 81 = 7*i - 2*i, -4*i + 135 = -5*o. Let x be (3 + 3 + -4)*o/(-2). Suppose 3*t**3 + 59*t - 15*t - 60 + 30*t - 2*t - x*t**2 = 0. What is t?
2, 5
Let s(p) be the first derivative of 8/27*p**3 + 1/18*p**4 + 0*p + 1/3*p**2 + 1. Let s(l) = 0. What is l?
-3, -1, 0
Let x(c) be the third derivative of c**8/672 - 37*c**7/1260 + 29*c**6/120 - 21*c**5/20 + 39*c**4/16 - 9*c**3/4 + 8*c**2 - 