t.
2*(t - 36)**2*(t - 3)*(t - 1)
Let m(t) = -2*t**3 + 4*t**2 - 8*t + 4. Suppose -4*u + 2*g + 14 = 0, -g = -4*g + 9. Let i(w) = w**3 + w**2 + w - 1. Let x(z) = u*m(z) + 5*i(z). Factor x(d).
-5*(d - 3)*(d - 1)**2
Let n(x) be the first derivative of -x**3/9 + 9*x**2 - 368*x/3 + 1299. Let n(z) = 0. Calculate z.
8, 46
Let l(r) = -3*r**2 + 20*r - 1383. Let f(p) = 4*p**2 - 16*p + 1386. Let v(s) = 5*f(s) + 6*l(s). Determine x, given that v(x) = 0.
-38, 18
Let t(d) be the second derivative of 1/2*d**2 + 1/12*d**4 + 0 - 1/3*d**3 - 22*d. Factor t(w).
(w - 1)**2
Let w(p) = -p**3 - 16*p**2 + 46*p - 45. Let k(x) = -2*x**3 - x**2 - 2*x - 1. Let o(m) = -4*k(m) + 4*w(m). Factor o(f).
4*(f - 11)*(f - 2)**2
Let n be 6/(-10) - (-16534)/(-35). Let v be n/(-165) - ((-47)/15 + 3). Factor 3/2*l**v + 0*l + 0*l**4 + 0 + l**2 - 1/2*l**5.
-l**2*(l - 2)*(l + 1)**2/2
Let j(b) be the second derivative of -b**4 - 359*b**3/6 + 43*b**2 + 11*b. Let x(a) = -2*a**2 + a + 1. Let u(r) = j(r) + 4*x(r). Find z such that u(z) = 0.
-18, 1/4
Let g = -493 - -490. Let s be g/6 + (-103)/(-6). What is k in -250/9*k**3 - 10/3*k + 2/9 + s*k**2 = 0?
1/5
Suppose -4*c = -5*w - 543, -20*c + 126 = -19*c + 2*w. Let k = -132 + c. Factor k - v + 1/2*v**2.
v*(v - 2)/2
Let h(u) = 2 - 13*u - 11*u**2 + 2*u**2 + 9*u**2 + u**2. Let t be h(13). Solve -g + 1/5*g**3 + 6/5 - 2/5*g**t = 0.
-2, 1, 3
Let c(p) = 4*p**4 - 556*p**3 + 24756*p**2 - 304134*p - 2211840. Let t(a) = -2*a**2 - a. Let j(w) = c(w) - 6*t(w). Suppose j(s) = 0. Calculate s.
-5, 48
Let q(i) be the second derivative of 0 - 11/16*i**4 - 45/2*i**2 - 3/80*i**5 + 7*i**3 + 139*i. Factor q(x).
-3*(x - 2)**2*(x + 15)/4
Let s(g) = -19*g**2 - 191*g + 260. Let k(q) = 9*q**2 + 96*q - 140. Let m(n) = 9*k(n) + 4*s(n). Factor m(x).
5*(x - 2)*(x + 22)
Let y be (400/(-500))/((-6)/15). Let n(u) be the first derivative of 0*u + 5*u**y - 4 - 1/3*u**3. Factor n(v).
-v*(v - 10)
Let r = -877874/5 - -175575. Factor -1/10*d**2 - 1/2*d - 1/5 + r*d**3.
(d - 2)*(d + 1)*(2*d + 1)/10
Let f(p) = 60*p**2 + 1690*p - 3060. Let l(x) = 7*x**2 + 188*x - 340. Let i(d) = 4*f(d) - 35*l(d). Solve i(t) = 0 for t.
2, 34
Let v(a) be the third derivative of a**5/100 + 547*a**4/40 + 273*a**3/5 - 3858*a**2. What is s in v(s) = 0?
-546, -1
Let q be (-20)/(-2 + 6) + (-1178)/(-217). Let d(o) be the first derivative of q*o**2 - 40/21*o**3 + 4/7*o - 1. Factor d(i).
-2*(4*i + 1)*(5*i - 2)/7
Let v(o) be the first derivative of 5*o**3 + 5*o**2/2 + 1330. Suppose v(u) = 0. What is u?
-1/3, 0
Suppose -3*k**3 - 715*k**2 + 1375*k - 9029 - 8900*k - 190 - 9906 + 8*k**3 = 0. Calculate k.
-5, 153
Suppose 2*f = 3*n - 33, 678*f = 5*n + 676*f - 43. Suppose -8/5*c + 28/5*c**2 - 34/5*c**3 + 17/5*c**4 - 3/5*c**n + 0 = 0. What is c?
0, 2/3, 1, 2
Let q = -1928296/3 + 642872. Factor 70/3*s**4 + 860/3*s**2 + 880/3*s + 365/3*s**3 + q + 5/3*s**5.
5*(s + 1)**2*(s + 4)**3/3
Let r(d) be the third derivative of -d**6/60 - 17*d**5/15 + 80*d**4/3 - 224*d**3 + d**2 - 295*d. Determine m so that r(m) = 0.
-42, 4
Let l(y) = -y**2 + y - 2. Suppose -18*b + 11 = -7. Let m(h) = -118*h**2 - 135*h - 30. Let z(k) = b*m(k) + 3*l(k). Determine a so that z(a) = 0.
-6/11
Determine p so that 72 + 77/2*p**3 - 206*p**2 + 190*p = 0.
-2/7, 18/11, 4
Find u, given that 48 + 65 + 4176*u + 60 + 26912*u**2 - 11 = 0.
-9/116
Let b be (((-690)/4)/(-5))/(25/50). Let o be b/180 - 44/330. Factor o*d**5 - 1/4*d**4 + 0*d**3 + 0*d + 0*d**2 + 0.
d**4*(d - 1)/4
Let y(s) = -3*s**3 - s**2 + s + 1. Let n(p) = 80*p**3 + 35*p**2 - 865*p - 25. Let u(f) = n(f) + 25*y(f). Factor u(k).
5*k*(k - 12)*(k + 14)
Let o(i) be the first derivative of -i**5/630 - 10*i**4/63 - 400*i**3/63 + 38*i**2 + 19. Let k(x) be the second derivative of o(x). What is c in k(c) = 0?
-20
Factor 129/4*x + 1/4*x**2 + 155.
(x + 5)*(x + 124)/4
Let t = -86 - -88. Suppose -t*y = 3*y - 10. Factor 24 - j**y + j**4 - j**3 + j**5 - 24.
j**2*(j - 1)*(j + 1)**2
Suppose -14 = k - 3*x, -9*k + 30 = -12*k + 5*x. Let r(a) = -13*a**2 - 51*a + 139. Let z(j) = -20*j**2 - 76*j + 208. Let o(v) = k*z(v) + 8*r(v). Factor o(u).
-4*(u - 2)*(u + 9)
Let s = -5549/209 - -299/11. Solve 8/19*z**2 + 2/19*z**4 - s*z + 12/19*z**3 - 10/19 = 0 for z.
-5, -1, 1
Let d = 139 + -115. Determine f so that -36*f + 8*f**3 + 4*f**5 + 8*f**2 + 16 + 24*f**3 + 0*f**2 - d*f**4 = 0.
-1, 1, 4
Let j(s) be the third derivative of 0 - 2/45*s**6 + 2/9*s**4 - 2/315*s**7 + 0*s - 126*s**2 + 0*s**3 + 1/45*s**5. Factor j(a).
-4*a*(a - 1)*(a + 1)*(a + 4)/3
Let j be (28/3)/((-26)/39). Let f be j/5 + 1 + -30 + 33. Factor -2/5*m**2 - 4/5 + f*m.
-2*(m - 2)*(m - 1)/5
Let c(o) be the third derivative of -o**6/135 - 7*o**5/90 - 13*o**4/54 - 302*o**2 + 4. Factor c(m).
-2*m*(m + 2)*(4*m + 13)/9
Let p be (-14)/49 + 3800/532. Factor -p*q + 2/7*q**2 + 288/7.
2*(q - 12)**2/7
Suppose 30*z = 50*z - 32400. Let p = z + -1618. Factor p - 3/2*u + 1/4*u**2.
(u - 4)*(u - 2)/4
Let y(r) be the first derivative of r**6/3 + 3*r**5 + 8*r**4 + 4*r**3 - 8*r**2 - 2498. Factor y(f).
f*(f + 2)**2*(f + 4)*(2*f - 1)
Let f(z) = 6*z**3 - 2*z + 1. Let n be f(1). Let x be 162/(-15)*90/432*-8. Factor 837/8*t**4 - 1065/8*t**3 - 243/8*t**n + 3/2 - x*t + 603/8*t**2.
-3*(t - 1)**3*(9*t - 2)**2/8
Let j(d) = -2*d**2 - 13*d - 10. Let t(k) = 2*k**2 + 12*k + 12. Let f = -226 + 232. Let b(s) = f*j(s) + 5*t(s). Find g, given that b(g) = 0.
-9, 0
Let o be (-28)/7 - (-2*1 + -2). Suppose -13*k - 8*k + 42 = o. Factor -2*t**k - 11*t**2 - 24*t - 8*t**2 + 3*t**2 - 3*t**3.
-3*t*(t + 2)*(t + 4)
Let f(r) = 5*r + 7. Let w be f(-1). Suppose -t = -3*t - w, 2*k - 3*t - 11 = 0. Solve 4*p - 5*p + 0*p**4 + p**k - p**3 - p**2 + 2*p**3 = 0 for p.
-1, 0, 1
Let h be (11/(-44))/(10/(-5)). Let g(j) be the first derivative of h*j**2 + 1/2*j - 6 - 1/12*j**3. Let g(l) = 0. Calculate l.
-1, 2
Let r(q) = -15*q**4 - 173*q**3 - 124*q**2 + 2124*q + 3024. Let j(b) = 9*b**4 + 116*b**3 + 82*b**2 - 1416*b - 2016. Let d(y) = 8*j(y) + 5*r(y). Factor d(x).
-3*(x - 21)*(x - 4)*(x + 2)**2
Let b be 2/((-15)/5*(-10)/10*4). Let t(f) be the second derivative of 2/3*f**3 + b*f**4 + f**2 + 0 - 14*f. Suppose t(m) = 0. Calculate m.
-1
Let s(r) be the first derivative of -r**5/100 + r**4/20 + 2*r**3/15 - 66*r - 64. Let c(y) be the first derivative of s(y). Find k such that c(k) = 0.
-1, 0, 4
Let j(r) be the third derivative of r**8/560 - 87*r**7/175 + 387*r**6/10 - 3698*r**5/25 + 3*r**2 - 334. Factor j(q).
3*q**2*(q - 86)**2*(q - 2)/5
Find k such that 0 - 1/3*k**3 + 0*k - 40/3*k**2 = 0.
-40, 0
What is m in -1/9*m**2 - 53/9*m - 322/9 = 0?
-46, -7
Let v = -112891 + 112895. Factor 2/5*s**3 + 4/5*s**2 + 0 + 0*s - 8/5*s**v - 6/5*s**5.
-2*s**2*(s + 1)**2*(3*s - 2)/5
Let v(m) be the first derivative of -10*m - 1/4*m**4 - m**3 + 10 + 3/20*m**5 + 0*m**2. Let q(s) be the first derivative of v(s). Factor q(b).
3*b*(b - 2)*(b + 1)
Let k = 244 + -240. Factor 20*a + 29*a**k + 0*a**3 - 15*a**3 - 24*a**4.
5*a*(a - 2)**2*(a + 1)
Find h, given that -120 - 86*h**3 - 369*h**2 - 363*h - 4*h**4 - 96*h**3 - h**4 + 53*h**3 + 2*h**4 = 0.
-40, -1
Let i(l) be the first derivative of l**3 - 108*l**2 + 420*l + 6935. Factor i(o).
3*(o - 70)*(o - 2)
Let j be -4 - (5904/(-189))/8 - 8064100/(-1050). Factor j*s + 2/5*s**3 + 96*s**2 + 204800.
2*(s + 80)**3/5
Let k(d) be the second derivative of -d**5/10 - 4*d**4/3 - 7*d**3/3 - 1279*d. Find i such that k(i) = 0.
-7, -1, 0
Suppose -1/3*r**4 + 0 + 24*r + 6*r**2 - 11/3*r**3 = 0. What is r?
-12, -2, 0, 3
Let r(v) be the first derivative of -11*v**4/20 - 38*v**3 - 3666*v**2/5 + 1352*v/5 - 1507. Find d such that r(d) = 0.
-26, 2/11
Let a(o) = -10*o**2 - 1584*o + 1402. Let q(c) = 2*c**2 + 318*c - 280. Let n(f) = -5*a(f) - 24*q(f). Suppose n(x) = 0. What is x?
-145, 1
Let q be ((-38)/(-5) - 4) + (-6)/10. Suppose -69*s**4 + 1202*s - 39*s**2 + 21*s**5 + 8*s**3 + 73*s**q - 1196*s = 0. What is s?
0, 2/7, 1
Let c(p) be the first derivative of -2*p**3/15 + 762*p**2/5 + 1526*p/5 - 680. Find d, given that c(d) = 0.
-1, 763
Let t(j) = j**2 + j - 2. Let r(s) = -3*s**2 - 82*s + 8. Let m(c) = -r(c) - 4*t(c). Let l(o) = -16*o. Let d(a) = 11*l(a) + 2*m(a). What is f in d(f) = 0?
-10, 0
Let c(a) = -5*a**4 - 8*a**3 - 105*a**2 - 152*a - 71. Let k(s) = 3*s**4 + 9*s**3 + 101*s**2 + 151*s + 70. Let z(x) = 2*c(x) + 3*k(x). Factor z(f).
-(f - 17)*(f + 1)**2*(f