 of -a**6/40 + 93*a**5/80 - 15*a**4/8 + a - 106. Factor c(t).
-3*t**2*(t - 30)*(t - 1)/4
Let t(g) = 3578592*g**2 - 8484*g + 23. Let m(q) = -3578594*q**2 + 8488*q - 26. Let k(a) = -6*m(a) - 7*t(a). Factor k(r).
-5*(846*r - 1)**2
Let y(f) = -9*f**4 - 6828*f**3 - 6720*f**2 + 66*f. Let m(i) = -i**4 - 853*i**3 - 840*i**2 + 8*i. Let p(g) = 33*m(g) - 4*y(g). Factor p(h).
3*h**2*(h - 280)*(h + 1)
Suppose -28 = -3*f - 4*i, -5*f - 6*i + 75 = -5*i. Suppose 12*l + h = 7*l + 6, 0 = -4*h - f. Factor 1/3*q**l - 4/3*q + 0.
q*(q - 4)/3
Factor 1/2*d**3 + 45/2*d + 0 - 7*d**2.
d*(d - 9)*(d - 5)/2
Let w(r) = 585520*r**2 - 56575*r + 1315. Let p(f) = -103327*f**2 + 9984*f - 232. Let m(b) = -45*p(b) - 8*w(b). Factor m(y).
-5*(83*y - 4)**2
Let s be (-12)/(-3) + -58 + -8. Let v = 106 + s. Let 5*f**2 + 66*f + 631 + v*f - 26 = 0. Calculate f.
-11
Let o(z) be the third derivative of -185*z**8/21 - 547*z**7/21 - 101*z**6/8 + 305*z**5/12 + 515*z**4/24 - 5*z**3/2 - 3*z**2 - 870*z. Find a such that o(a) = 0.
-1, -3/8, 1/37, 1/2
Factor 30*z - 12*z + 175831*z**3 + z**2 + z**2 - 175833*z**3 + 0*z**2 - 18.
-2*(z - 3)*(z - 1)*(z + 3)
Let n(v) be the second derivative of -v**5/110 + 113*v**4/33 - 13625*v**3/33 + 95048*v**2/11 + 4125*v. Factor n(x).
-2*(x - 109)**2*(x - 8)/11
Let v(j) = 5*j**2 - 6*j - 155. Let s be v(-11). Let l be ((-1)/(-4))/(43/s). Let 0 + 2/11*r**l + 2/11*r - 4/11*r**2 = 0. What is r?
0, 1
Suppose 8*u - 192 = -4*u. Let y be ((-47)/564)/((-2)/u). Factor 0 + 2/3*h**2 + y*h.
2*h*(h + 1)/3
Let d = 284/63 + -38/9. Let n(j) = -4*j**2 + 154*j + 413. Let p be n(41). Factor -d*m**p - 8/7 + 6/7*m**2 + 0*m.
-2*(m - 2)**2*(m + 1)/7
Let x(y) be the second derivative of 1/15*y**4 - 2/75*y**6 + 0*y**5 + 0*y**2 - 1/105*y**7 + 1 + 1/15*y**3 - 120*y. Determine p so that x(p) = 0.
-1, 0, 1
Suppose 630*g - 4 = 628*g. Suppose 0*c + 3*c - 9 = -g*v, 9 = 3*c - 2*v. Solve -2/11*p**4 + 0*p**c + 4/11*p + 6/11*p**2 + 0 = 0.
-1, 0, 2
Let b(l) be the third derivative of -l**7/945 + 43*l**6/540 - 41*l**5/270 - 43*l**4/108 + 14*l**3/9 + 3794*l**2. Solve b(q) = 0 for q.
-1, 1, 42
Let g(z) = -3*z**3 - 9*z**2 + 350*z + 1354. Let d be g(-4). Determine o so that -10/7*o**d - 16/7*o - 2/7*o**3 - 8/7 = 0.
-2, -1
What is z in -101/3*z**2 + 22*z + z**3 + 0 = 0?
0, 2/3, 33
Let n be (316/(-22))/(290/(-319)) - 15. Factor -4/5 - 1/5*w**3 + 1/5*w**2 + n*w.
-(w - 2)*(w - 1)*(w + 2)/5
Let b(d) = 4 - 22*d**2 - 122*d + 112*d + 4 + 4. Suppose 3*n - 3 = 6. Let h(i) = 7*i**2 + 3*i - 4. Let m(p) = n*b(p) + 10*h(p). Factor m(z).
4*(z - 1)*(z + 1)
Find l such that 2645/4 + 405/2*l**2 + 851*l + 13*l**3 + 1/4*l**4 = 0.
-23, -5, -1
Let z = 35 - 20. Let f be ((-6)/z)/(6/(-135)*3). Factor 1/2*b**4 + 0*b**3 - 3/2 - f*b**2 - 4*b.
(b - 3)*(b + 1)**3/2
Solve -9/2*n + 0 + 31/8*n**2 + 3/4*n**3 - 1/8*n**4 = 0 for n.
-4, 0, 1, 9
Let d = 11722 - 2934. Find f, given that 4 - 97*f + 2028*f**2 + 253*f + 0 + d*f**3 = 0.
-1/13
Let m(z) be the first derivative of 3/2*z**2 + 0*z - 3/32*z**4 + 1/16*z**5 - 1/4*z**3 + 2. Let v(b) be the second derivative of m(b). Factor v(p).
3*(p - 1)*(5*p + 2)/4
Factor o**5 - 210013*o**3 + 112*o**2 + o**4 + 209965*o**3 + 3*o**4 - 80*o.
o*(o - 2)**3*(o + 10)
Let o(w) = -2*w**3 + 4*w**2 - 2*w - 5. Let q = -272 - -271. Let l be o(q). Factor 3/8*m**4 - 3/8*m + 3/4 + 3/8*m**l - 9/8*m**2.
3*(m - 1)**2*(m + 1)*(m + 2)/8
Let -48600*x + 0*x**4 - 6*x**4 + x**4 - 119845 - 5940*x**2 + 9898 - 290*x**3 - 6693 = 0. What is x?
-18, -4
Suppose 2*c = 3 + 1. Suppose i + c = 3*z - 10, -5*i = 5*z. Factor 4*b**2 + 4 + 5*b + 3*b - 3 + z.
4*(b + 1)**2
Let l = 1/57439 - -57437/114878. Let p be ((-5)/(-12) + 0)*2. Determine u so that -p*u**2 - l + 1/6*u**3 + 7/6*u = 0.
1, 3
Let x(r) be the first derivative of 5*r**4/4 - 2475*r**3 + 3675375*r**2/2 - 606436875*r - 4397. Find n, given that x(n) = 0.
495
Let a(n) = -9*n**2 + 377*n - 1170. Let f(c) = 70*c**2 - 2640*c + 8190. Let s(m) = -15*a(m) - 2*f(m). Factor s(u).
-5*(u - 3)*(u + 78)
Let z be 2/(-11) - (204/(-11))/3. Find k such that 4*k - 6*k**2 - 10*k**2 - z*k**2 = 0.
0, 2/11
Find y, given that -18/7 + 144/7*y**2 - 195/7*y + 69/7*y**3 = 0.
-3, -2/23, 1
Let q(p) be the second derivative of -p**5/10 - 55*p**4/6 - 103*p**3/3 + 159*p**2 - 1823*p. Solve q(r) = 0 for r.
-53, -3, 1
Let l(w) be the second derivative of -1 + 1/4*w**5 - 10*w**2 - 3*w + 5/12*w**4 - 10/3*w**3. Let l(h) = 0. What is h?
-2, -1, 2
Let k(d) be the second derivative of -5*d**4/78 - 167*d**3/13 - 100*d**2/13 + 1346*d. Solve k(b) = 0 for b.
-100, -1/5
Suppose -39825*a = -39843*a. Let q(b) be the third derivative of 0*b + a + 1/24*b**4 - 29*b**2 + 1/16*b**3 - 1/160*b**5. Factor q(c).
-(c - 3)*(3*c + 1)/8
Let t(k) be the first derivative of -81*k**4/32 + 861*k**3/8 - 1666*k**2 + 10976*k - 3941. Factor t(a).
-(a - 7)*(9*a - 112)**2/8
Solve 32*b + 128/3*b**2 + 2/3*b**4 + 0 + 34/3*b**3 = 0.
-12, -4, -1, 0
Let u(k) be the second derivative of -5*k**4/12 + 155*k**3/6 - 75*k**2 + 1847*k. Factor u(o).
-5*(o - 30)*(o - 1)
Let q(f) = 61*f. Let u be q(1). Let i = -59 + u. Determine j so that 0*j + 25 - 3*j**2 - 3*j**3 - 1 - 6*j**i + 18*j = 0.
-4, -1, 2
Let 13*q + 1/5*q**3 + 20 + 14/5*q**2 = 0. What is q?
-5, -4
Let m be 3*2/((-6)/(-5)). Suppose 16*u - 42 = -m*u. Solve 0 + 9/4*h - 3/4*h**3 + 3/2*h**u = 0 for h.
-1, 0, 3
Suppose -328574 + 27*q**2 - 3*q**5 - 51*q**3 + 54*q - 27*q**4 + 328574 = 0. What is q?
-6, -3, -1, 0, 1
Let y(o) = 15*o**4 + 85*o**3 - 118*o**2 - 190*o + 16. Let i(c) = -32*c**4 - 170*c**3 + 236*c**2 + 379*c - 40. Let w(l) = -2*i(l) - 5*y(l). Factor w(p).
-p*(p - 2)*(p + 1)*(11*p + 96)
Let h(c) be the first derivative of 7*c**6/39 + 66*c**5/65 - 227*c**4/26 + 242*c**3/13 - 212*c**2/13 + 72*c/13 - 5480. Determine t so that h(t) = 0.
-9, 2/7, 1, 2
Let f(g) be the third derivative of g**8/112 - g**6/10 - g**5/10 + 3*g**4/8 + g**3 - 986*g**2. Let f(r) = 0. What is r?
-1, 1, 2
Suppose 99*w = 97*w + 212. Suppose -36 = w*z - 115*z. Solve -8/5*i**2 + z*i - 16/5 + 1/5*i**3 = 0.
2, 4
Let o(b) = b + 1. Let f(l) = 8*l + 27. Let u(v) = f(v) - 5*o(v). Let w be u(-6). Find y, given that 3 - 1 - 4*y**2 + 2*y**4 + 0*y**w = 0.
-1, 1
Let h(i) = -14*i + 77. Let v be h(5). Factor 45*d**2 - d**2 + 2 - 8*d**5 - 28*d**3 + 34*d**4 - v*d**3 - 21*d**3 - 16*d.
-2*(d - 1)**4*(4*d - 1)
Let d(c) = 5*c**2 + 11*c - 3. Let z(g) be the second derivative of -2*g**4/3 - 4*g**3 + 5*g**2/2 + 15*g. Let o(w) = -5*d(w) - 3*z(w). Factor o(m).
-m*(m - 17)
Let x(u) be the second derivative of u**7/4200 + u**6/900 + u**5/600 + 49*u**4/4 + 21*u + 3. Let n(v) be the third derivative of x(v). Factor n(p).
(p + 1)*(3*p + 1)/5
Let c = 84312 + -84312. Factor 62/17*s**2 - 2/17*s + c.
2*s*(31*s - 1)/17
Let d(z) be the second derivative of -z**6/55 + 1107*z**5/110 - 1101*z**4/22 + 1099*z**3/11 - 1098*z**2/11 - 14*z - 66. Factor d(w).
-6*(w - 366)*(w - 1)**3/11
Let o(u) be the second derivative of u**5/40 + u**4/24 - 149*u**3/12 - 429*u**2/4 - 14735*u. Factor o(b).
(b - 13)*(b + 3)*(b + 11)/2
Let z(v) = 13*v**3 + 1418*v**2 - 2907*v + 1448. Let f(c) = 87*c**3 + 9936*c**2 - 20349*c + 10137. Let k(o) = 4*f(o) - 27*z(o). What is t in k(t) = 0?
1, 484
Suppose -259*q = 42*q - 151*q + 294*q. Factor -3/4 + 3/4*x**2 + q*x.
3*(x - 1)*(x + 1)/4
Let l(n) = 3*n**2 + n - 30. Let z be (4 + -1)/(-3) - -4*2. Let r be l(z). Factor 16*k**2 - 114*k + r*k + 5*k**3 - k**2.
5*k*(k + 1)*(k + 2)
Let a = -1392/47 - -4053/94. Find o, given that 1/2*o**2 + 3*o - a = 0.
-9, 3
Solve 1/4*r**4 + 34225/4*r + 107/4*r**3 + 3663/4*r**2 - 50653 = 0.
-37, 4
Let l be -4 + (2*(-2)/(-34) - (-12600)/2142). Solve 7/3*h**3 + 4/3 - 8/3*h + 1/3*h**5 - 5/3*h**4 + 1/3*h**l = 0.
-1, 1, 2
Suppose w - 16 = -5*p, -2*w - 44 = 3*p - 62. Let i(u) be the second derivative of p*u**3 - 4*u**2 + 3*u + 0 - 1/3*u**4. Let i(x) = 0. What is x?
1, 2
Let k(t) be the second derivative of t**6/40 - 7*t**5/20 - 4*t**3/3 + 3*t**2 - 32*t + 2. Let f(j) be the second derivative of k(j). Suppose f(y) = 0. What is y?
0, 14/3
Let f = 144529/15 - 9635. Let r(v) be the third derivative of f*v**6 + 0*v**3 - 25/168*v**8 + 2/15*v**5 + 1/21*v**7 + 0 + 0*v - 24*v**2 + 0*v**4. Factor r(g).
-2*g**2*(g - 1)*(5*g + 2)**2
Let t(n) = -25*n**5 - 1695*n**4 + 10*n**3 + 3470*n**2 - 65*n - 1715. Let k(h) = -h**5 + 2*h**4 - 3*h + 1. Let y(z) = -20*k(z) + 