135*p**4/8 + 205*p**3/6 - 696*p. Factor m(t).
-5*t*(t - 1)*(t + 82)/2
Let k(z) = -3*z**3 + 150*z**2 - 1869*z + 12. Let o(f) = -6*f**3 + 300*f**2 - 3737*f + 26. Suppose 0 = -11*r - 25 - 41. Let h(s) = r*o(s) + 13*k(s). Factor h(p).
-3*p*(p - 25)**2
Let p(g) be the first derivative of 2*g**5/5 - 25*g**4/2 - 62*g**3/3 + 133*g**2 - 156*g - 412. Factor p(d).
2*(d - 26)*(d - 1)**2*(d + 3)
Let r(g) be the third derivative of -g**6/200 + 37*g**5/100 + 169*g**4/40 - 41*g**3/2 - 2347*g**2. Factor r(d).
-3*(d - 41)*(d - 1)*(d + 5)/5
Let w be (-44)/220*4/(-4)*10. Let z(v) be the first derivative of -40*v + 6*v**w + 4/3*v**3 + 2. Suppose z(k) = 0. What is k?
-5, 2
Let f = -20404/645 - -850/43. Let m = f + 184/15. Factor -m*x**5 + 2*x**4 + 0*x - 16/5*x**3 + 8/5*x**2 + 0.
-2*x**2*(x - 2)**2*(x - 1)/5
Let f = 763673/8 + -96017. Let w = f + 559. Determine g, given that -9/4*g**3 - 1/4 + 9/8*g**5 - 1/4*g**4 + 1/2*g**2 + w*g = 0.
-1, 2/9, 1
Let v = 114928 + -574638/5. Factor -v*q**2 + 36/5 + 14/5*q.
-2*(q - 9)*(q + 2)/5
Find j, given that -129/4*j**2 + 4347/4*j + 1/4*j**3 - 11907/4 = 0.
3, 63
Let a(g) be the second derivative of g**4/30 + 23*g**3/5 + 1188*g**2/5 - 8718*g. Let a(p) = 0. Calculate p.
-36, -33
Suppose 217 - 199 = 9*i. Let q(p) be the first derivative of i - 13/11*p**2 + 12/11*p - 10/33*p**3. Factor q(o).
-2*(o + 3)*(5*o - 2)/11
Let r(k) be the second derivative of k**5/90 - 5*k**4/9 + 83*k**3/27 - 6*k**2 + 87*k + 7. Factor r(i).
2*(i - 27)*(i - 2)*(i - 1)/9
Let f(l) be the second derivative of -l**4/20 + 22*l**3/5 - 129*l**2/10 - 20*l + 65. Factor f(k).
-3*(k - 43)*(k - 1)/5
Let w = 84 + -82. Solve 3*o**2 - 7*o**w - 3*o + 3*o + 4 = 0 for o.
-1, 1
Find i such that 10/3*i**3 + 1024/7*i**2 - 120/7*i - 352/21 = 0.
-44, -2/7, 2/5
Let a(q) = -8*q + 56. Let g be a(6). Factor g - 490*l**3 - 64*l**5 - 115*l - 11*l**5 + 310*l**4 + 360*l**2 - 12 + 14.
-5*(l - 1)**4*(15*l - 2)
Let t(g) be the third derivative of 7/132*g**4 + 1/330*g**5 + 0*g + 4/11*g**3 + 3*g**2 + 0. Factor t(m).
2*(m + 3)*(m + 4)/11
Solve -5*r**2 - 855 + 95*r - 1087 + 332 + 90*r = 0.
14, 23
Let p(u) = -u**2 - 3*u + 2. Let j be p(-3). Find i such that -17*i**2 - 16*i**2 + 59*i**j - 21*i**2 + 140*i + 135 = 0.
-27, -1
Let c(j) = -2*j**2 + 19*j - 32. Let o be c(7). Suppose 6*p - 15 = -o. Find t, given that -6/11*t - 4/11 + 4/11*t**p = 0.
-1/2, 2
Let a(i) be the third derivative of i**6/1980 - i**5/165 - 25*i**3/6 + 5*i**2 + 3. Let o(l) be the first derivative of a(l). What is v in o(v) = 0?
0, 4
Let k = 31362 - 31358. Factor 1/6*i**k + 169/6*i + 0 - 25/6*i**3 + 143/6*i**2.
i*(i - 13)**2*(i + 1)/6
Let m(c) be the first derivative of -c**5/10 - 605*c**4/4 + 2423*c**3/6 - 303*c**2 + 11997. Factor m(g).
-g*(g - 1)**2*(g + 1212)/2
Let h(o) = -8*o**2 + 4344*o - 1192460. Let q(n) = -47*n**2 + 26070*n - 7154761. Let y(j) = -23*h(j) + 4*q(j). Let y(i) = 0. Calculate i.
546
Let g(x) = -119*x**2 - 2022*x + 19. Let a be g(-17). Solve 0 - 3*k + 1/2*k**4 + k**3 - 5/2*k**a = 0 for k.
-3, -1, 0, 2
Let k(c) = 6*c**3 - 86*c**2 + 26*c + 33. Let f be -2*5/25*-35. Let i be k(f). Factor -16 - 20*y**3 - 40*y - 1/2*y**i - 5*y**4 - 40*y**2.
-(y + 2)**5/2
Find y such that 1/2*y**4 + 0*y + 0 + 1/2*y**2 - y**3 = 0.
0, 1
Let z(a) be the second derivative of -148*a - 5/9*a**4 - 27*a**2 + 0 + 1/60*a**5 + 13/2*a**3. What is v in z(v) = 0?
2, 9
Let q(s) be the third derivative of -s**6/360 + s**5/30 - 139*s**3/6 + 2*s**2. Let d(h) be the first derivative of q(h). Find k such that d(k) = 0.
0, 4
Let m(d) = -d**3 + 7*d**2 + 3*d - 10. Suppose 0*a = 4*a - 28. Let k be m(a). Factor -2 - 9*i + 2*i + 2*i**4 - 4*i**3 + k*i.
2*(i - 1)**3*(i + 1)
Find f, given that 16/7*f**2 - 68/7*f**4 + 0 + 128/7*f**3 + 0*f = 0.
-2/17, 0, 2
Let q be (-2)/(-13) + ((2465/442)/((-9)/18) - -13). Suppose 22/5 - 2/5*m + 2/5*m**3 - 22/5*m**q = 0. Calculate m.
-1, 1, 11
Let n(g) = 3*g + 5. Let m be n(-4). Let i(u) = u**2 + 9*u + 19. Let l be i(m). Factor 3*p**l + 2*p**3 - 2*p**2 - 3*p**5 + 2*p**4 + 3*p**5 - 5*p**5.
-2*p**2*(p - 1)**2*(p + 1)
Let t = 110747/5 - 775219/35. What is m in 36/7 + t*m**4 - 50/7*m - 6/7*m**2 + 18/7*m**3 = 0?
-9, -2, 1
Let p(i) = -8536*i + 8538. Let w be p(1). Let -20/17*h - 22/17 + 2/17*h**w = 0. Calculate h.
-1, 11
Let r(p) = p + 11 + 0*p + 13 - 20. Let j be r(-1). Factor 28*g**3 - 10*g**3 + 20 - 2*g**j - 11*g**3 - 20*g**2 - 5*g.
5*(g - 4)*(g - 1)*(g + 1)
Suppose 6*c**2 + 31/8*c**3 + 0 + 2*c - 1/4*c**5 - 3/8*c**4 = 0. What is c?
-4, -1, -1/2, 0, 4
Let p = 67 - 63. Suppose 8 = p*q, -6*q + 2*q = 3*c - 8. Factor -7*l - 4*l**3 + 8*l**2 + c*l**2 + 0*l**2 - 32 + 23*l.
-4*(l - 2)**2*(l + 2)
Let y = 423801/4 + -105950. Factor 0*v - 1/4*v**4 + y*v**3 + 1/2*v**2 + 0.
-v**2*(v - 2)*(v + 1)/4
Let a(c) be the second derivative of 32/3*c**3 + 0 - 26*c + 34*c**2 - 1/3*c**4. Factor a(l).
-4*(l - 17)*(l + 1)
Let h(a) be the first derivative of 9*a**4/4 - 224*a**3 - 231*a**2/2 + 450*a + 1625. Factor h(u).
3*(u - 75)*(u + 1)*(3*u - 2)
Suppose 190 + 696 = 2188*r - 3490. Suppose 69/10*x - 19/5 - 9/5*x**r = 0. What is x?
2/3, 19/6
Let y(n) = 2*n**4 - 15*n**3 - 17*n**2 - 7. Let x(q) = q**3 - 1 - 8*q**2 + 18*q**2 + 0*q**3 - 9*q**2. Let h(p) = -14*x(p) + 2*y(p). Find a such that h(a) = 0.
-1, 0, 12
Factor 7*r**3 - 50*r**3 + 909*r**2 + 84*r**3 - 44*r**3 + 29955 + 38448 - 69309*r.
-3*(r - 151)**2*(r - 1)
Let u = 39/1604822 + -8538513171/2375136560. Let w = 3/592 - u. Find l, given that 6/5*l**4 + 0 - w*l**3 + 2/5*l**2 + 4/5*l**5 + 6/5*l = 0.
-3, -1/2, 0, 1
Let v(y) = -y**4 - y**3 - y + 1. Let d(j) = -j**4 - 10*j**3 + 7*j**2 - 2*j + 2. Suppose 54 = -7*p - 16. Let f(n) = p*v(n) + 5*d(n). Factor f(o).
5*o**2*(o - 7)*(o - 1)
Let l(t) = t**3 + 2*t**2 - 8*t. Let v(g) = -21*g**3 + 78*g**2 - 63*g - 324. Let i(s) = 18*l(s) + v(s). Factor i(y).
-3*(y - 36)*(y - 3)*(y + 1)
Let c(x) be the third derivative of -x**8/6720 + x**7/240 + x**6/30 - 9*x**5/5 + 126*x**2. Let m(w) be the third derivative of c(w). What is y in m(y) = 0?
-1, 8
Find v such that -104/5*v**2 + 2/5*v**5 - 68/5*v**3 + 128/5 - 6/5*v**4 + 48/5*v = 0.
-2, 1, 8
Let i = -199 - -298. Factor 5*v + i*v**2 + 73*v + 5*v**3 + 24*v - 8*v**3.
-3*v*(v - 34)*(v + 1)
Suppose -26*b + 10*b**2 - 141 - 8*b**2 - 368 - 91 = 0. Calculate b.
-12, 25
Let n = 175493/6 - 87742/3. Determine d so that -n*d + 6 - 9/4*d**2 = 0.
-2, 4/3
Let n(w) be the first derivative of 5*w**4/4 + 100*w**3/3 + 625*w**2/2 + 1250*w - 965. Suppose n(x) = 0. Calculate x.
-10, -5
Let l(h) be the first derivative of 7*h**4/3 - 2288*h**3/9 - 1490*h**2/3 - 664*h/3 + 5074. Suppose l(n) = 0. What is n?
-1, -2/7, 83
Let p(g) be the third derivative of -g**8/2520 + 2*g**7/175 - 47*g**6/900 + g**5/15 - 12*g**2 + 11*g. What is k in p(k) = 0?
0, 1, 2, 15
Let r(v) be the first derivative of 4*v**3/3 - 54*v**2 + 720*v + 1243. Suppose r(m) = 0. Calculate m.
12, 15
Let a(g) be the second derivative of 5*g**4/12 + 65*g**3/3 + 825*g**2/2 + 184*g. Factor a(m).
5*(m + 11)*(m + 15)
Suppose -52*z + 53*z = i + 7, -3*z + 2*i + 16 = 0. Let r be (-709)/(-4) - (-1)/(-4). Factor 19 - 56*m + 7*m**2 - 3*m**z + r.
4*(m - 7)**2
Let q(r) be the third derivative of 0 - 74*r**2 - 2/15*r**5 + 0*r + 21/4*r**4 + 16/3*r**3. Let q(o) = 0. What is o?
-1/4, 16
Let p(s) = -s**4 - s**3 - s**2 - 3*s. Let i(v) = -8*v**4 + 72*v**3 - 63*v**2 - 149*v. Let d(n) = i(n) - 3*p(n). Find f, given that d(f) = 0.
-1, 0, 2, 14
Let l(p) = -5*p**3 + 262*p**2 + 1056*p + 1074. Let o(n) = -32*n**3 + 1572*n**2 + 6334*n + 6449. Let r(t) = 39*l(t) - 6*o(t). Suppose r(g) = 0. What is g?
-2, 266
Let i(t) be the first derivative of t**2/2 + 13*t - 11. Let h be i(-8). Solve -h*y**3 + 0*y**2 - y**2 - 4*y**2 - 23*y + 33*y = 0 for y.
-2, 0, 1
Suppose -44*i - 843 = 4525. Let q = 2076/17 + i. Determine p so that -q*p**3 - 2/17*p**4 + 0*p**2 + 0 + 0*p = 0.
-1, 0
Let -t**4 + 234*t**3 + 3037*t**2 + 7*t**3 - 3*t**4 + 2604*t + 99*t**3 - 89*t**2 = 0. What is t?
-7, -1, 0, 93
Factor -179*i**3 - 7*i + 36*i**2 - 3*i + 204*i**3 - 71*i**2 + 20*i**4.
5*i*(i - 1)*(i + 2)*(4*i + 1)
Let r(v) be the third derivative of v**5/510 - 7*v**4/34 + 147*v**3/17 + 1623*v**2. Factor r(h).
2*(h - 21)**2/17
Let h(q) be the first derivative of -q**6/360 - 2*q**5/15 + 2*q**3/3 - 73*q - 209. Let g(y) be the third derivative of h(y). Let g(n) = 0. Calcul