
-3*s**3*(s - 4)*(s + 2)/4
Factor -90*m**2 - 78*m**3 + 8208*m + 3*m**5 - 8775 - 135*m**3 - 6777 + 18*m**4 - 48*m**3 - 426*m**2.
3*(m - 4)**3*(m + 9)**2
Suppose 4*u + 4*q - 6 = 14, 0 = q. Suppose 2*f - 5*h - 15 = 0, 0*f - u*f - 6 = 2*h. Determine c so that f + 9/2*c**2 - c = 0.
0, 2/9
Let n(y) be the third derivative of y**3 + 0*y - 71/72*y**4 - 1/45*y**5 - 1 - 8*y**2. Let n(r) = 0. Calculate r.
-18, 1/4
Suppose -2176 - 1792 = -230*x - 1754*x. Find b, given that -9/2*b**2 + 4*b - 1/4*b**4 - 5/4 + x*b**3 = 0.
1, 5
Factor 523*k**2 - 1052*k**2 + 530 + 337 + 527*k**2 - k**3 - 279 + 119*k.
-(k - 12)*(k + 7)**2
Let 178/9*f**2 + 0 - 140/9*f + 2/9*f**4 - 40/9*f**3 = 0. What is f?
0, 1, 5, 14
Let n(x) = -5*x**2 + 3. Let b be n(4). Let o = b - -79. Determine l so that -53*l - 3*l**3 - 5*l**3 + 55*l + 6*l**o = 0.
-1/4, 0, 1
Determine l so that 3 - 2 - 189*l - 375*l - 3 - 8836*l**2 - 7 = 0.
-3/94
Let w be (-44)/2178*9 + (-11)/(-484)*1790. Solve -36*n + 8*n**2 + w = 0.
9/4
Let t = 10759482/19 - 566288. Factor -t*v + 4/19 + 4/19*v**2.
2*(v - 2)*(2*v - 1)/19
Let z be ((-372)/2480)/(26/(-1170)). Factor z*q + 3/2*q**2 - 15/4.
3*(q + 5)*(2*q - 1)/4
Let c(p) be the second derivative of -64/7*p**2 + 1/70*p**5 + 8 - 3*p - 2/7*p**4 + 16/7*p**3. Factor c(g).
2*(g - 4)**3/7
Let q(z) be the second derivative of 1/8*z**6 + 4*z**3 - 2*z**2 - 6 + 11/10*z**5 + 7/2*z**4 - 4*z. Factor q(a).
(a + 2)**3*(15*a - 2)/4
Suppose -2*v = -2*p + 50, v - 100 = -8*p + 4*p. Let d be (2365/p)/(-11) + 11. Factor -d*r**2 - 12/5*r - 4/5*r**3 - 4/5.
-4*(r + 1)**3/5
Suppose 5*r = -4*a + 125, 4*a - 91 = -4*r - a. Let l(s) = -s**3 - 4*s**2 - 2*s - 6. Let x be l(-4). Factor -9 - 20*y**2 + r + 15*y**x.
-5*(y - 2)*(y + 2)
Let s = 609 - 611. Let d be -2*(-3)/s + (-132)/(-42). Determine m so that -d*m - 1/7*m**2 + 0 = 0.
-1, 0
Let j(k) be the second derivative of k**7/14 - 3*k**6/10 - 9*k**5/4 - 17*k**4/4 - 3*k**3 - k - 121. Suppose j(q) = 0. Calculate q.
-1, 0, 6
Let w be (-867)/2754*-27 - 7. Solve 9/2*q + 3 + w*q**2 = 0.
-2, -1
Let m(i) = 6*i**2 + 46*i + 45. Let r(x) = -9*x**2 - 42*x - 41. Let c(g) = g**2 - g - 1. Let y(q) = 4*c(q) + r(q). Let j(f) = -4*m(f) - 5*y(f). Factor j(d).
(d + 1)*(d + 45)
Let o = -188353/170 + 18837/17. Factor -3/10*c**2 + 9/2*c - 81/10 - o*c**3.
-(c - 3)**2*(c + 9)/10
Let l = 1/13 - 76/481. Let d = l + 64/333. Solve d*m**3 + 0 - 8/9*m**2 + 16/9*m = 0.
0, 4
Let m(v) be the first derivative of 18*v**5/35 - 170*v**4/7 - 1574*v**3/21 - 74*v**2 - 160*v/7 + 5472. Solve m(a) = 0 for a.
-1, -2/9, 40
Let w be ((-30)/(-9))/((34/(-60))/17). Let q be 14*10/w - 108/(-20). Solve 0*j**3 + 1/7 - 2/7*j**2 + 1/7*j**q + 0*j = 0 for j.
-1, 1
Let a = 170217/38 + -85080/19. Solve 15/8*p**4 + 9/4*p**3 - 3*p + 0 + 3/8*p**5 - a*p**2 = 0.
-2, 0, 1
Let k(g) be the first derivative of 2*g**3/33 - 137*g**2/11 + 272*g/11 - 316. Let k(o) = 0. Calculate o.
1, 136
Let c(p) be the third derivative of p**6/120 - 3*p**5/20 - 295*p**4/8 - 875*p**3/6 - 3*p**2 + 650. Suppose c(v) = 0. Calculate v.
-25, -1, 35
Let x(s) = 3*s - 7*s + 2 - 4 - 26. Let g be x(-8). Factor -u**2 - 16*u**4 - 5*u**3 + 21*u**4 - 2*u - g*u**2 + 7*u.
5*u*(u - 1)**2*(u + 1)
Suppose 3*x - 2*x - j = -5, j = -2*x - 16. Let s be (-48)/112 - 17/x*1. Find c, given that -9*c**2 + 15*c - 12 - 3*c**2 + 9*c - 3*c**s + 3*c**3 = 0.
1, 2
Let t(q) be the first derivative of q**3/3 + 3*q**2/2 - 22*q - 9. Let x be t(-7). Solve -x*l**3 + 6*l**4 - 3*l**3 - 3*l**4 + 12*l**2 - 3*l**3 = 0.
0, 2
Let -3/8*q**3 - 45/8*q - 27/4*q**2 + 51/4 = 0. What is q?
-17, -2, 1
Let c(p) be the third derivative of 2*p**7/105 + p**6/30 - 9*p**5/5 - 27*p**4/2 - 36*p**3 - 3*p**2 - 35*p - 28. Let c(s) = 0. What is s?
-3, -1, 6
Let h(q) be the first derivative of -3/14*q**2 - 215 - 2/7*q + 5/21*q**3. Suppose h(d) = 0. Calculate d.
-2/5, 1
Let o = -1045546 + 1045549. Factor 0 + 4/3*n + 0*n**2 - 1/3*n**4 - n**o.
-n*(n - 1)*(n + 2)**2/3
Let c be (-66*3/15)/(15/(-1600)). Let n be ((-288)/c)/((-3)/4). Factor -2/11 - n*b + 3/11*b**3 + 2/11*b**2.
(b - 1)*(b + 1)*(3*b + 2)/11
Let g(k) be the first derivative of k**5 + 35*k**4/4 - 90*k**2 - 3195. Factor g(j).
5*j*(j - 2)*(j + 3)*(j + 6)
Let b(m) be the third derivative of m**5/30 - 256*m**4 + 786432*m**3 + 15*m**2 - 119. Factor b(g).
2*(g - 1536)**2
Let w(q) be the first derivative of q**5/180 - 25*q**4/18 + 1250*q**3/9 + 64*q**2 + 168. Let t(n) be the second derivative of w(n). Factor t(p).
(p - 50)**2/3
Factor 1/8*a**3 - 1/2*a + 0 - 3/8*a**2.
a*(a - 4)*(a + 1)/8
Suppose 5*q = -l + 27, 0*l + l = 5*q - 23. Suppose 0 = -q*n + 13 + 2. Determine i, given that 6*i**n - i**4 + 4*i**4 - 14*i**2 + 5*i**2 = 0.
-3, 0, 1
Let r(q) = q**3 - 5*q**2 + 4*q + 2. Let v be r(4). Suppose 0 = -5*p - n + 2, 4*n + 20 = v*p + 28. Factor p - 2/5*i**2 + 0*i + 4/5*i**3.
2*i**2*(2*i - 1)/5
Determine k, given that -1/3*k**4 + 26/3*k + 8*k**2 + 3 + 2*k**3 = 0.
-1, 9
Let f = -672 + 684. Let s be (5/15)/(f/27). Find z, given that 0 + 3*z - 3*z**2 + 3*z**4 - 9/4*z**3 - s*z**5 = 0.
-1, 0, 1, 2
Factor 41/5 + 42/5*l + 1/5*l**2.
(l + 1)*(l + 41)/5
Let d = -2832 - -2836. Let j(u) be the second derivative of 0 + 1/11*u**3 + 4*u - 4/11*u**2 + 1/66*u**d. Suppose j(o) = 0. What is o?
-4, 1
Let u(r) = 9*r**3 - 1055*r**2 - 2518*r - 711. Let d(i) = -11*i**3 + 1049*i**2 + 2518*i + 708. Let t(x) = -3*d(x) - 4*u(x). Solve t(j) = 0 for j.
-2, -1/3, 360
Let a(v) be the first derivative of -v**3 - 51*v**2/2 + 54*v + 308. Factor a(r).
-3*(r - 1)*(r + 18)
Let -80/7*h + 52/7 - 1/7*h**3 + 29/7*h**2 = 0. What is h?
1, 2, 26
Let a(s) = -s**4 + 128*s**3 - 392*s**2 + 280*s - 3. Let j(b) = b**4 - 2*b**2 - 4*b + 1. Let z(y) = -a(y) - 3*j(y). Determine w so that z(w) = 0.
-67, 0, 1, 2
Let k(j) be the second derivative of -2*j**7/21 - 118*j**6/45 - 407*j**5/15 - 383*j**4/3 - 2380*j**3/9 - 784*j**2/3 - 1188*j. Suppose k(q) = 0. What is q?
-7, -4, -1, -2/3
Let z(i) be the third derivative of -2*i**5/105 - 29*i**4/84 - 52*i**3/21 + 2390*i**2. Find j such that z(j) = 0.
-4, -13/4
Let q = 328 - 344. Let f be 72/3*(-2)/q. Solve -2/5*g**2 + 0 + 2/5*g**f - 4/5*g = 0 for g.
-1, 0, 2
Let q(i) = -i**2 - 18*i + 69. Let j be q(14). Let t = 1141/3 + j. Let 1/3*u**2 + 4/3 - t*u = 0. Calculate u.
2
Suppose -15*k + 12*k + 2*f - 5 = 0, 3*f = -15. Let c be k + (-7 - 78*2/(-9)). Solve -8/3 - c*p - 2/3*p**2 + 2*p**3 = 0.
-1, -2/3, 2
Solve -352/7*m - 184/7*m**3 - 4/7*m**5 - 128/7 - 368/7*m**2 - 44/7*m**4 = 0.
-4, -2, -1
Let a(o) = -4*o**2 + 103*o - 345. Let r be a(4). Let p(i) be the third derivative of 0*i - 1/75*i**5 - 24/5*i**r - 2/5*i**4 - 40*i**2 + 0. Factor p(t).
-4*(t + 6)**2/5
Suppose -275*l + 276*l - 456 = 0. Let m = l + -454. Let 0 - 4/9*g + 10/9*g**5 + 2*g**3 + 26/9*g**4 - 2/9*g**m = 0. What is g?
-1, 0, 2/5
Let o(l) be the first derivative of l**3/21 - 15*l**2/14 - 544*l/7 + 1861. Factor o(p).
(p - 32)*(p + 17)/7
Find z, given that 1/6*z**3 - 540 - 6*z + 13/3*z**2 = 0.
-18, 10
Let n(y) = -20*y + 68. Let o be n(3). Suppose 286*l + o = 290*l. Factor -2/3*t**2 + 4/3*t + l.
-2*(t - 3)*(t + 1)/3
Let v be (-2)/(-18 + 1144/66). Let d = 142 - 988/7. Determine n so that d*n + 0 - 9/7*n**v - 3/7*n**4 + 3/7*n**5 + 3/7*n**2 = 0.
-1, 0, 1, 2
Let n(q) be the third derivative of -1/12*q**4 + 0*q + 1/210*q**5 + 2 + 31*q**2 + 10/21*q**3. Factor n(u).
2*(u - 5)*(u - 2)/7
Let d be -1 - -1 - 12/(-4). Suppose 3*q + 7*u = 3*u + 374, -3*u + 501 = 4*q. Factor -6*c**d - 6*c**3 + 3 + 75*c**2 - q*c + 24.
-3*(c - 3)**2*(4*c - 1)
Let j(c) be the second derivative of 0 + 22*c**3 + 1/90*c**6 - 3/10*c**5 + 242/3*c**2 + 15*c + 37/36*c**4. Factor j(u).
(u - 11)**2*(u + 2)**2/3
Let z(p) = -p**3 - 2*p**2 + p. Let a(r) = 2*r**5 - 52*r**4 + 440*r**3 - 700*r**2 - 1702*r + 3872. Let o(d) = 2*a(d) + 60*z(d). Suppose o(c) = 0. What is c?
-2, 2, 4, 11
Let i(q) be the second derivative of -q**5/4 - 60*q**4 - 9315*q**3/2 - 71415*q**2 + 3697*q. What is f in i(f) = 0?
-69, -6
Factor -775*z - 84*z**2 + 87*z**2 + 91875 - 430*z + 155*z.
3*(z - 175)**2
Let y = -91 - -96. Suppose 2*k + 3*s - 5 = 0, 3*s + 4 = y*k + 2*s. Suppose 4*j - 4*j**3 - 8*j**2 - 1 + 2 + 8 - k = 0. What is j?
-2, -1, 1
Factor 516/7*r - 272/7*r**2 + 792/7 + 4/7*r**3.
4*(r - 66)*(r - 3)*(r + 1)/7
Suppose -22*f + 23*f + 9 = h, 0 = -f - 2*h + 24. Factor 108/5*s - 648/5 + 54/5*s**f - 3*s**3 