+ 294*p**2 + 156*p + 24 + 237*p**3 + 87*p**4 = 0.
-2, -1, -1/4
Suppose -33*l = -25*l - 40. Determine z so that -227*z**2 + 32*z**5 - l*z + 186*z**3 - 17*z - 5*z**5 + 167*z**2 - 129*z**4 - 2*z = 0.
-2/9, 0, 1, 2
Let m be (-32)/3*(-9)/30*15. Determine h so that -9*h**4 - 36*h**3 - 138*h**2 - 94*h + 6*h**4 - m + 27*h**2 - 32*h = 0.
-8, -2, -1
Let q(f) = f**3 - 18*f**2 - 17*f - 13. Let j be q(19). What is u in j*u**3 + 28*u**2 - 5*u**4 + 38*u**2 + 90 - 35*u - 71*u**2 - 70*u = 0?
-2, 1, 3
Let h(b) be the second derivative of -b**6/3 + 3*b**5/10 + b**4/3 + 30*b + 3. Factor h(i).
-2*i**2*(i - 1)*(5*i + 2)
Let h(f) be the second derivative of f**5/120 + 11*f**4/72 - 14*f**3/9 + 5*f**2 + 1806*f - 2. Let h(v) = 0. What is v?
-15, 2
Let z be ((-9)/(27/8) - -2)/(-7). Let p be (112/840)/((-7)/(-10)). Factor -z*l**2 + 2/21*l + p.
-2*(l - 2)*(l + 1)/21
Let o(l) = -l**2 + 1. Let w be (-6)/(-2) - (3 - 13)*1. Let i(y) = -3*y**2 + 2 - 19*y + 131 - w*y. Let n(f) = i(f) - 5*o(f). Factor n(z).
2*(z - 8)**2
Let v be ((-65)/(-3575))/((-16)/(-176)). Factor -v*q**2 - 3 - 8/5*q.
-(q + 3)*(q + 5)/5
Let u(g) = g**2 - 40*g - 105. Suppose -18 = 5*k - 2*m, -2*m - 10 = k + k. Let a(l) = -40*l - 108. Let p(o) = k*u(o) + 3*a(o). Determine c so that p(c) = 0.
-2, 12
Let -95*v**2 + 360*v**3 - 694*v**3 + 3*v**4 + 360 + 41*v - 23*v - v**5 - 96*v + 361*v**3 = 0. What is v?
-5, -2, 3, 4
Let o(y) = -y**3 + 7*y**2 - 24*y - 12. Let t be o(9). Let l be (-10)/(-12)*(-104)/t. Factor -2 - l*r**2 - 4/3*r.
-2*(r + 3)**2/9
Let m = 70 - 91. Let z be -3*(32/(-18))/((-14)/m). What is d in -16*d - 2*d**4 + 10*d**3 + z + 11*d**3 - 17*d**3 + 6*d**2 = 0?
-2, 1, 2
Solve -2/13*m**4 + 486/13 - 2376/13*m - 432/13*m**3 + 1836/13*m**2 + 8/13*m**5 = 0.
-9, 1/4, 3
Suppose -3*b - o + 3 = 0, 5*o + 5 = 2112*b - 2117*b. What is f in 11/5*f**3 - 2/5*f**4 - 18/5*f**b + 4/5*f + 8/5 = 0?
-1/2, 2
Let v = -1154/33 - -106/3. Let h = 6384 - 6382. Determine f, given that 6/11*f + 4/11*f**h - v = 0.
-2, 1/2
Let q(c) be the third derivative of 2*c**7/105 - 3*c**6/25 + 7*c**5/25 - 4*c**4/15 - 4*c**2 + c - 188. Determine x so that q(x) = 0.
0, 1, 8/5
Let t(h) = 2*h**3 - 2*h**2 + 40*h - 83. Let l be t(2). Let c(d) be the third derivative of 11*d**2 + 1/60*d**4 + 0 - 1/10*d**3 + 1/60*d**l + 0*d. Factor c(x).
(x + 1)*(5*x - 3)/5
Let t(q) be the third derivative of 0*q - 139*q**2 + 1/8*q**6 + 5*q**3 - 25/24*q**4 + 0 + 1/6*q**7 - 5/168*q**8 - 17/12*q**5. Let t(m) = 0. What is m?
-1, 1/2, 2, 3
Let o(v) be the second derivative of v**7/5880 - v**6/336 + 3*v**5/140 - v**4/6 + 2*v**3/3 + 32*v. Let t(s) be the third derivative of o(s). Factor t(f).
3*(f - 3)*(f - 2)/7
Let w(z) = 2*z**2 + 16*z + 10. Let i be w(-8). Suppose 0 = -3*y + i*y - 28. Find x, given that -10 + 8*x**2 + 10 + 12*x**3 + 3*x**4 + x**y = 0.
-2, -1, 0
Let i(r) be the first derivative of r**4/6 + 2*r**3/3 - 10*r**2/3 - 499. Factor i(h).
2*h*(h - 2)*(h + 5)/3
Suppose 5 + 13 = 3*f - 2*u, 0 = -3*f + 3*u + 21. Suppose -f*z = -20, z + 3*z = -3*g + 26. Factor g*o**4 - 8*o**5 + 4 + o**2 - o**3 + o**4 + 9*o**5 - 8*o**2.
(o - 1)**2*(o + 1)*(o + 2)**2
Suppose 169*a + 5 = 172*a + d, 3*d = 5*a + 15. Find r such that 2/11*r**2 + a + 4/11*r = 0.
-2, 0
Let n(f) = 18*f - 16. Let z be n(1). Factor -160 - 59*u**2 + 2*u**4 - 46*u**3 + 9*u + 139*u**z + 40*u**2 - u.
2*(u - 20)*(u - 2)**2*(u + 1)
Let z(a) be the third derivative of 2*a**2 - 7 - 5/51*a**4 + 47/1785*a**7 + 4/15*a**6 + 0*a + 4/51*a**3 - 3/34*a**8 - 1/10*a**5. Suppose z(w) = 0. Calculate w.
-1, -2/7, 2/9, 1/4, 1
Determine t so that 19/3*t**2 + 95/3*t + 77/3 + 1/3*t**3 = 0.
-11, -7, -1
Let j(x) be the second derivative of -7*x**6/24 - 19*x**5/12 - 25*x**4/12 + 25*x**2/2 + x + 11. Let m(t) be the first derivative of j(t). Factor m(b).
-5*b*(b + 2)*(7*b + 5)
Suppose a - 6*a - g = -26, -2*g = 8. Factor 4 + 5*v + 0*v**2 + 5*v**2 - a*v**2 + 2*v**2.
(v + 1)*(v + 4)
Let q(r) = 7*r**2 - 135*r - 4765. Let y(s) = 3*s**2 - 48*s - 2382. Let o(f) = 6*q(f) - 13*y(f). Factor o(h).
3*(h - 44)*(h - 18)
Suppose 7*v = -28*v + 70. Factor -1060*c**2 - 1058*c**v + 36*c**4 + 2110*c**2 - 28 - 4*c**5 - 56*c**3 + 60*c.
-4*(c - 7)*(c - 1)**3*(c + 1)
Let l(z) = -2*z**2 - 369*z + 3688. Let j be l(-194). Let h be (14/12)/(-7)*-1. Find k, given that -h*k - 1/6*k**j + 1/3 = 0.
-2, 1
Let l(z) be the first derivative of -z**5/240 + 3*z**4/32 - 5*z**3/6 + 46*z**2 + 160. Let q(f) be the second derivative of l(f). Suppose q(c) = 0. Calculate c.
4, 5
Let z = 246879 + -246876. What is q in -56*q - 19/4*q**z + 57/2*q**2 + 1/4*q**4 + 32 = 0?
1, 2, 8
Let r(j) be the third derivative of -j**6/240 - 49*j**5/120 - 203*j**4/24 + 38*j**3 - 350*j**2. Factor r(d).
-(d - 1)*(d + 12)*(d + 38)/2
Suppose -13 = -x - g + 4*g, g - 89 = -3*x. Let l = -25 + x. Let -6*k**3 - 4*k - 2*k**2 + k**l + 2*k**3 + 2*k**4 + 7*k**3 = 0. Calculate k.
-2, -1, 0, 1
Let q(n) be the first derivative of 19*n**4/20 - 43*n**3/15 + n**2 + 4667. Suppose q(f) = 0. What is f?
0, 5/19, 2
Find q such that 2/3*q**2 + 42 + 43/3*q = 0.
-18, -7/2
Factor -280*p + 838/3 + 2/3*p**2.
2*(p - 419)*(p - 1)/3
Let k(g) be the third derivative of 3/14*g**7 - 25/672*g**8 + 1 - 1/4*g**5 + 0*g**4 + 0*g**3 + 0*g - 19*g**2 - 7/48*g**6. Find b, given that k(b) = 0.
-2/5, 0, 1, 3
Suppose -3*z - 287 + 281 = 0. Let p be (105/(-55) - z)/(2/4). Suppose -6/11*f**2 + 0*f**3 + 4/11*f + p*f**4 + 0 = 0. Calculate f.
-2, 0, 1
Let p(f) be the third derivative of 0*f**3 + 0*f + 0*f**5 + 1/21*f**7 - 1/60*f**6 - 16*f**2 - 1 + 0*f**4. Suppose p(x) = 0. Calculate x.
0, 1/5
Let i(z) be the third derivative of z**5/100 - 195*z**4/8 - 1467*z**3/5 + 148*z**2 - 4*z - 4. Find h such that i(h) = 0.
-3, 978
Factor 9 - 129/5*l + 24/5*l**2.
3*(l - 5)*(8*l - 3)/5
Let u(t) be the second derivative of -t**7/63 + 2*t**5/15 - 74*t. Factor u(f).
-2*f**3*(f - 2)*(f + 2)/3
Let n(o) = -16*o - 62. Let k(p) = -6*p**2 - 41*p - 34. Let i be k(-6). Let b be n(i). Determine u so that -2/3*u**b + 4 - 10/3*u = 0.
-6, 1
Let a(x) be the second derivative of 1/12*x**4 + 0 - 112*x + 3/2*x**2 - 1/20*x**5 + 5/6*x**3. Find h, given that a(h) = 0.
-1, 3
Let j(m) = 20*m**3 - 460*m**2 + 616*m + 2848. Let p(t) = 4*t**3 - 93*t**2 + 123*t + 570. Let a(o) = -5*j(o) + 24*p(o). Let a(d) = 0. What is d?
-2, 5, 14
Let r(i) = -8*i + 0*i**2 - 6*i**2 + 2*i**3 - i - i**3 + 4. Let s(z) = -2*z**3 + 13*z**2 + 19*z - 9. Let k(j) = -13*r(j) - 6*s(j). Find p, given that k(p) = 0.
-1, 2
Let o(a) be the first derivative of 75 + 429/14*a**2 - 69/35*a**5 + 363/7*a - 213/14*a**4 - 1/14*a**6 - 14*a**3. Solve o(l) = 0 for l.
-11, -1, 1
Let q(l) = -l**2 + 1. Let z(u) = -2*u**2 + 18*u - 22. Let p(o) = o + 1. Let r(b) = 3*p(b) - z(b). Let v(i) = -q(i) - r(i). What is c in v(c) = 0?
2, 13
Suppose 0 = -3*n - 15, -20 = -24*p + 23*p - 5*n. Suppose 5*j = 2*j + 177. Solve -61 + p*s + 125 - 540*s**3 - j = 0 for s.
-1/6, 1/3
Let q(z) be the second derivative of -z**4/14 - 297*z**3/7 + 516*z**2 + 15573*z. Find k such that q(k) = 0.
-301, 4
Let o(v) be the second derivative of v**5/10 - 7*v**4/3 + 13*v**3/3 + 6*v + 78. Factor o(w).
2*w*(w - 13)*(w - 1)
Let d(j) be the first derivative of -4*j**3/9 - 62*j**2/3 - 144*j - 1068. What is a in d(a) = 0?
-27, -4
Factor 35/2*f**3 + 6 + 64*f - 137/2*f**2.
(f - 2)**2*(35*f + 3)/2
Let z = 376 + -393. Let l(j) = 20*j**3 - 16*j**2 - 62*j + 41. Let v(r) = 7*r**3 - 6*r**2 - 21*r + 14. Let p(q) = z*v(q) + 6*l(q). Factor p(o).
(o - 1)**2*(o + 8)
Let u = 118708 + -118705. Factor -33/2*j**2 + 6*j + 3*j**u + 15/2.
3*(j - 5)*(j - 1)*(2*j + 1)/2
Suppose -7/4*l**2 + 3 - 5/4*l = 0. Calculate l.
-12/7, 1
Factor -2176 + 1677*k - 2*k**4 + 52*k**3 - 738*k**2 + 16*k**3 + 1171*k.
-2*(k - 17)*(k - 8)**2*(k - 1)
Let r(i) = -i**2 - 66*i - 125. Let u(c) = -2*c - 1. Let d(m) = -r(m) + u(m). Solve d(p) = 0 for p.
-62, -2
Factor 47*l + 8*l**2 - 17 - 13 - 20 + 47*l - 89*l + l**3.
(l - 2)*(l + 5)**2
Let k be (560/(-1960))/(3/(-7)). Factor -2/3*s**3 + 1/3*s**4 + k*s - 1/3 + 0*s**2.
(s - 1)**3*(s + 1)/3
Suppose 3*x - 19 = -5*z, -7*x + 4*z = -9*x + 14. Suppose -5*w = -r - x*w - 3, r - 3*w = -6. Factor -4*y**2 + 20*y - 174*y**r - 40 + 14*y**2 + 169*y**3.
-5*(y - 2)**2*(y + 2)
Let w = -57 + 68. Suppose -177*f + w + 203*f + 9 - 4*f**3 + 4*f**2 + 2*f**3 = 0. What is f?
-2, -1, 5
Let v be (-30)/(-4)*2/5. Suppos