t v(t) = t**3 - 2*t**2 + t. Let f be v(1). Let j(c) be the second derivative of f - c + 1/2*c**2 - 3/8*c**4 - 7/12*c**3. Factor j(g).
-(g + 1)*(9*g - 2)/2
Let j(s) = 3977*s + 35796. Let y be j(-9). Factor -9/2*k**2 - 15/2*k + 9/2 - 6*k**4 + 27/2*k**y.
-3*(k - 1)**3*(4*k + 3)/2
Let w(y) be the first derivative of 4*y**3/3 + 2389*y**2 - 2390*y - 8615. Factor w(p).
2*(p + 1195)*(2*p - 1)
Let h(x) = x**3 + 2*x**2 - 35*x + 10. Let p be h(-7). Let u be p/(-40)*(-20)/25. Factor u*r**2 - 2/5*r + 1/5.
(r - 1)**2/5
Let m = 21508 - 21410. Let -14*l - m - 1/2*l**2 = 0. What is l?
-14
Determine m so that 0*m + 2/7*m**5 + 8*m**3 + 0*m**2 + 58/7*m**4 + 0 = 0.
-28, -1, 0
Suppose 4*g - 764 = 14*g - 984. Let l(t) be the second derivative of -g*t - t**2 + 0 + 1/6*t**3 + 1/12*t**4. Determine u, given that l(u) = 0.
-2, 1
Let o(u) = -11*u - 1. Let f(w) = -12*w. Let k(j) = -4*f(j) + 5*o(j). Let b be k(-1). Factor -m**b - 28*m**4 + 11*m**3 - m**2 + 7*m**5 + 12*m**4.
m**2*(m - 1)**2*(7*m - 2)
Let 126 - 585*s + 11*s - 511*s + 534 - 25*s**2 = 0. Calculate s.
-44, 3/5
Let p(l) = -l - 7. Let h be p(-10). Let n be ((-21)/98)/((-495)/(-44) - 12). Find q such that -4/7*q**h + n*q**5 + 4/7 + 2/7*q + 4/7*q**4 - 8/7*q**2 = 0.
-2, -1, 1
Let v(z) be the first derivative of 0*z + 69 + 1/2*z**4 - 5/3*z**3 + 1/5*z**5 - 3*z**2. Find y such that v(y) = 0.
-3, -1, 0, 2
Let 25*r**2 + 77/2*r + 15 + 3/2*r**3 = 0. What is r?
-15, -1, -2/3
Let n(l) = 9*l**3 + 391*l**2 + 8507*l + 55121. Let s(v) = 55*v**3 + 2345*v**2 + 51050*v + 330725. Let t(y) = 25*n(y) - 4*s(y). Solve t(i) = 0.
-49, -15
Let j(a) be the second derivative of a**5/50 - 264*a**4/5 + 278784*a**3/5 - 147197952*a**2/5 - 2*a - 243. Factor j(q).
2*(q - 528)**3/5
Let d be (2/4 - 6/4)*-5. Suppose -4*g + d*k + 15 = 0, 2*k = -g - 2*k - 12. Factor -6 - 6*a + 0*a - 3*a - 3*a**2 + g*a.
-3*(a + 1)*(a + 2)
Let a = 89 + -39. Let p = a + -47. Factor -p*j**2 + 36*j + 1 - 39*j + 5.
-3*(j - 1)*(j + 2)
Suppose -30*r + 339 + 303 = -48. Let u(s) be the second derivative of 0*s**2 - 1/5*s**5 + 0 + r*s - 2*s**3 + 4/3*s**4. Factor u(t).
-4*t*(t - 3)*(t - 1)
Let i be 26 + -1 + -27 + 30. Suppose -i*g = 8*g - 72. Find u, given that -3 - g*u - 1/3*u**2 = 0.
-3
Let o(k) be the first derivative of 40 + 4/3*k**3 - 6*k - 2*k**4 + 4*k**2 + 2/5*k**5. Factor o(z).
2*(z - 3)*(z - 1)**2*(z + 1)
Let m = 6 - 3. Suppose f + 4*b = 16, -m*f + 40 = -b + 5. Factor 0 - f*c + 3*c**2 - 6 + 9*c.
3*(c - 2)*(c + 1)
Let u(f) be the second derivative of 2*f**7/21 + 19*f**6/30 + 19*f**5/20 - 11*f**4/6 - 14*f**3/3 + 4*f**2 - 4*f + 36. What is t in u(t) = 0?
-2, 1/4, 1
Let 1080 - 245469*u**2 - 245472*u**2 - 1622*u + 490944*u**2 = 0. Calculate u.
2/3, 540
Let i = -867327 + 9540781/11. What is c in 2/11*c**2 - i*c + 4232/11 = 0?
46
Suppose -4*s - 32*i + 27 = -31*i, 0 = 5*s + 5*i - 90. Solve 0*d**s + 2/3*d**4 - 2 - 4*d**2 + 16/3*d = 0.
-3, 1
Find a such that 210*a**3 - 243*a - 1430 - 3013 + 106*a**2 + 596*a**2 - 39*a**4 + 1284 - 3*a**5 - 156*a**3 = 0.
-13, -3, 3
Let w(b) be the third derivative of b**8/60 - 4*b**7/21 + 17*b**6/30 + 3*b**5/5 + 29*b**3/6 + 69*b**2. Let x(v) be the first derivative of w(v). Factor x(l).
4*l*(l - 3)**2*(7*l + 2)
Let q(y) be the first derivative of -28/11*y - 23 - 9/11*y**2 + 4/11*y**3 + 1/22*y**4. Find x such that q(x) = 0.
-7, -1, 2
Let x(p) be the second derivative of -1/36*p**4 + 1/126*p**7 - 4/9*p**3 + 7/60*p**5 + 1/18*p**6 - 2/3*p**2 - 13 + p. Find d, given that x(d) = 0.
-2, -1, 1
Factor 2952/5 + 14764/5*r + 4*r**2.
4*(r + 738)*(5*r + 1)/5
Let y(m) = 3*m**2 - 18*m + 39. Let a be y(7). Solve 292*o + 184*o**4 - 124*o**2 - 447*o**5 - a - 470*o**5 - 388*o**3 + 1013*o**5 = 0 for o.
-3, -1, 1/4, 5/6, 1
Factor -3*y**3 - 7*y + 17*y**2 - 6*y**2 - 200 + 97*y + 4*y**2 - 2*y**3.
-5*(y - 5)*(y - 2)*(y + 4)
Let u(z) = -z**4 + 3*z**3 + 2*z**2 + z - 2. Let a(m) = 2*m**4 - 12*m**3 - 51*m**2 - 40*m + 2. Let c(i) = -2*a(i) - 2*u(i). Solve c(q) = 0 for q.
-3, -1, 0, 13
Suppose 3*z - 65 = 3*l - 221, -4*z = -2*l + 94. Suppose 0 = -4*m - 4*r, -92*m + 2 = -89*m + 2*r. Factor -87*u + 12*u**3 + 12 + 9 + l*u**m - 3.
3*(u - 1)*(u + 6)*(4*u - 1)
Let j = 259868/148257 - -286/7803. Factor 6/19 + j*l - 12/19*l**2.
-2*(l - 3)*(6*l + 1)/19
Let c(j) be the first derivative of -3*j**2 + 3/8*j**4 - 2*j**3 - 53 + 0*j + 3/10*j**5. Find g such that c(g) = 0.
-2, -1, 0, 2
Let d(t) = 3*t + 32. Let z be d(-15). Let h(m) = m**2 + 10*m + 3. Let n be h(z). Let 3 + 42*f + n*f + 7 - 92*f**2 - 2 = 0. Calculate f.
-2/23, 1
Let j(f) be the first derivative of -3*f**4/28 + 3*f**3 - 69*f**2/14 - 2295*f/7 - 15068. Factor j(c).
-3*(c - 17)*(c - 9)*(c + 5)/7
Suppose -3*r**5 + 1108/3*r - 1099/3*r**3 - 260/3 - 277/3*r**4 + 179*r**2 = 0. Calculate r.
-26, -5, -1, 2/9, 1
Suppose 5*c + 147 - 68 = 2*r, 8*r - 76 = 4*c. Factor -392/11 - 2/11*q**r + 56/11*q.
-2*(q - 14)**2/11
Let d(f) = -9*f + 3. Let r be d(-1). Factor -4*a**3 - 9*a + 8 + r*a + 9*a.
-4*(a - 2)*(a + 1)**2
Let l(f) be the second derivative of 1/102*f**4 - 5/17*f**3 - 60*f + 1 + 14/17*f**2. Find h such that l(h) = 0.
1, 14
Let q(x) = 9*x**3 - x + 1. Let h(v) = -200*v**3 - 648*v**2 - 620*v + 28. Let z(i) = h(i) + 4*q(i). Find l, given that z(l) = 0.
-2, 2/41
Let j be 130/(-30) - 6/9. Let y be ((-1)/(-1))/(288/(-58) - j). Factor 11*r**2 - y*r**2 + 8*r**2 + 6*r**2.
-4*r**2
Let f(b) be the third derivative of 0*b + 0 - 10/3*b**3 - 204*b**2 - 1/30*b**5 - 7/12*b**4. Determine j so that f(j) = 0.
-5, -2
Let x be (9 + -6 - 8) + 7. Let o(k) be the first derivative of 6*k - 2/3*k**3 - 21 - 2*k**x. Determine w so that o(w) = 0.
-3, 1
Let s be (3 - (1 + 1))*1. Let m = s + 1. Factor 7*g - 21*g + 55 - 6 + g**m.
(g - 7)**2
Let n be (-114)/209*5/2. Let v = n + 93/44. Factor -3 - 15/4*t - v*t**2.
-3*(t + 1)*(t + 4)/4
Let k(q) be the third derivative of q**7/105 + q**6/12 - 11*q**5/10 + 9*q**4/4 - 6*q**2 + 5*q - 9. Suppose k(n) = 0. Calculate n.
-9, 0, 1, 3
Let i(f) be the second derivative of f**7/560 - f**6/24 + 2*f**5/5 - 2*f**4 - 40*f**3/3 - 2*f - 4. Let x(k) be the second derivative of i(k). Factor x(n).
3*(n - 4)**2*(n - 2)/2
Let t(a) be the third derivative of -7*a**8/12 - 32*a**7/5 + 89*a**6/30 + 88*a**5/5 - 56*a**4/3 + 1561*a**2. Find p, given that t(p) = 0.
-7, -1, 0, 4/7
Let p(w) be the second derivative of -w**5/40 + 13*w**4/24 + 32*w**3/3 + 60*w**2 + 8*w - 18. Determine l, given that p(l) = 0.
-4, -3, 20
Let o(q) be the first derivative of 15*q**6/7 + 192*q**5/35 - 2*q**4/7 - 64*q**3/21 + 8872. What is w in o(w) = 0?
-2, -2/3, 0, 8/15
Let z = 3555 + -3590. Let l(f) = -65*f**3. Let m(s) be the third derivative of -11*s**6/120 + 2*s**2. Let j(t) = z*m(t) + 6*l(t). Factor j(o).
-5*o**3
Factor 113480*l**3 - 340*l**2 - 5420*l - 113476*l**3 - 9500 + 1720*l.
4*(l - 95)*(l + 5)**2
Let k(p) be the third derivative of p**7/420 - 37*p**6/48 + 1615*p**5/24 + 45125*p**4/48 + 3*p**2 + 13*p. Factor k(a).
a*(a - 95)**2*(a + 5)/2
Let z be (1 - -4) + 1254/(-165) - 1*-4. Solve -8/5*k - 1/5*k**2 - z = 0.
-7, -1
Factor -3*t**4 + 59*t**3 - 564*t**2 + 42*t**3 + 480*t - 27*t**3 + 13*t**3.
-3*t*(t - 20)*(t - 8)*(t - 1)
Let p be 4/(-90) + (-1144)/(-3465). Factor p + 6/7*w**2 - 2/7*w**3 - 6/7*w.
-2*(w - 1)**3/7
Let p(f) be the first derivative of -f**4/22 - 434*f**3/33 - 431*f**2/11 - 430*f/11 + 1358. Suppose p(j) = 0. Calculate j.
-215, -1
Let q(z) be the third derivative of -31*z**2 - 1/1344*z**8 + 1/32*z**4 + 0*z**3 + 0*z + 1/80*z**6 + 0 + 0*z**7 - 1/30*z**5. Let q(v) = 0. What is v?
-3, 0, 1
Let p = -11663/24 - -487. Let x(m) be the third derivative of -10/3*m**3 - 27*m**2 + p*m**4 + 0 - 1/12*m**5 + 0*m. Factor x(o).
-5*(o - 4)*(o - 1)
Let d(z) = 7*z**4 + 237*z**3 + 150*z**2 - 497*z - 379. Let q(x) = -x**4 - 39*x**3 - 24*x**2 + 83*x + 63. Let o(s) = -6*d(s) - 38*q(s). Factor o(m).
-4*(m - 15)*(m - 2)*(m + 1)**2
Let d(c) = 3*c**2 - 36*c + 95. Let l be d(-19). Let g = l + -1860. Factor -4/3*x + 6*x**g + 0.
2*x*(9*x - 2)/3
Let a(j) be the first derivative of -17/6*j**2 - 42 - 8/9*j**3 - 2/3*j. Factor a(q).
-(q + 2)*(8*q + 1)/3
Let f = -139 - -147. Suppose 9*x = -4*k + f*x + 62, -3*k + 53 = 4*x. Find d, given that 90*d**2 - 100*d + k + 47 - 35*d**3 + 5*d**4 - 22 = 0.
1, 2
Let d be 3/(27/(-12)) - 100/(-120)*2. Find y such that -d*y**2 + 2 + 1/3*y = 0.
-2, 3
Let w(d) be the s