3203 = 799*l - 9595. Factor 36/5*o**3 + 0 - l*o**2 - 14/5*o**4 + 2/5*o**5 + 16/5*o.
2*o*(o - 2)**3*(o - 1)/5
Let l(x) be the third derivative of -x**7/70 + 413*x**6/5 - 1023414*x**5/5 + 281779988*x**4 - 232750270088*x**3 - 1155*x**2. Suppose l(o) = 0. What is o?
826
Let w be 4048/(-1530) - ((-48)/(-27) - 2). Let z = 48/17 + w. Suppose z*u**2 + 2/5 - 4/5*u = 0. What is u?
1
Let a(g) = g**2 - 1380*g - 11102. Let j be a(-8). Determine q, given that -2/3*q**3 + j*q**2 - 4/3*q + 0 = 0.
0, 1, 2
Suppose 4*f + 0*f - 2*j - 14 = 0, 5*j - 21 = -4*f. Factor -38*q**2 - 5*q**3 + 24*q - 3*q**f - 9*q**3 + 5*q**3 + 32*q**2 - 6*q**3.
-3*q*(q - 1)*(q + 2)*(q + 4)
Suppose -5287*h = -6222*h + 1870. Factor 11/2*u**3 - 6*u - 4 + 3*u**h + 3/2*u**4.
(u - 1)*(u + 2)**2*(3*u + 2)/2
Suppose 3*x + 5*r - 173 = 0, 3 = 3*r - 0. Let l be x/(-21) - (-32)/12. Factor 0*o**3 + l - 1/3*o**4 + o**2 + 2/3*o.
-o*(o - 2)*(o + 1)**2/3
Let p(t) be the first derivative of 2*t**5/25 + t**4 + 18*t**3/5 + 18*t**2/5 - 559. Factor p(q).
2*q*(q + 1)*(q + 3)*(q + 6)/5
Let q(w) = -11*w**2 - 24*w - 13. Let i(n) be the first derivative of n**4/4 - n**3/3 - n**2/2 + n + 280. Let m(k) = -4*i(k) + 4*q(k). Factor m(c).
-4*(c + 1)*(c + 2)*(c + 7)
Let o(j) = -47*j**4 - 3*j**3 + 4*j**2 - 4*j + 8. Let n(l) = -l**5 - l**4 + 2*l**3 + l**2 - l + 2. Let b(u) = 4*n(u) - o(u). Let b(t) = 0. Calculate t.
-1/4, 0, 11
Suppose 3*k + 3*r + 0*r = 30, -25 = -3*k - 2*r. Let x = k + 4. Factor 4*q**2 + 0*q**2 + 4*q**4 - x*q**3 + 2*q**2 - q**4.
3*q**2*(q - 2)*(q - 1)
Factor -1011*m - 581 + 0*m**2 - 4*m**2 - 3*m**2 + 179 - 8*m**2.
-3*(m + 67)*(5*m + 2)
Suppose 0*x**5 - 4156*x + 31*x**5 + 55*x**4 + 5325*x**2 + 1620 - 1604*x - 1675*x**3 + 4*x**5 = 0. Calculate x.
-9, 3/7, 2, 3
Let w(u) be the third derivative of -7*u**6/360 - 107*u**5/180 + 251*u**4/36 + 76*u**3/9 - 1520*u**2. Factor w(p).
-(p - 4)*(p + 19)*(7*p + 2)/3
Suppose 46 = -5*i + 3*i. Let f = i + 52. Factor f*y + 4*y**2 + 17 + 14*y - 27*y - 5.
4*(y + 1)*(y + 3)
Let p(i) be the third derivative of -i**7/210 + i**6/12 + 53*i**5/60 + 7*i**4/4 - 31*i**2 - 9*i. Find v, given that p(v) = 0.
-3, -1, 0, 14
Let v(w) = 3*w**4 + 3*w**3 - 18*w**2 + 6*w + 3. Let a(n) = -3*n**4 - 4*n**3 + 22*n**2 - 8*n - 3. Let i(f) = 3*a(f) + 4*v(f). Factor i(c).
3*(c - 1)**2*(c + 1)**2
Let v(c) = 2*c**2 - 228*c + 450. Let x be v(2). Let f(t) be the first derivative of 1/12*t**4 + 4*t - 31 + 25/6*t**x + 14/9*t**3. Factor f(w).
(w + 1)**2*(w + 12)/3
Suppose 2907*j = 2960*j - 159. Let -35/2*l + 19/2*l**2 + 17/2 - 1/2*l**j = 0. Calculate l.
1, 17
Let r(h) = -h**3 + 19*h**2 + 31*h + 5. Let f be r(18). Let m = f - 4431/5. Suppose 8/5*a**2 - 2/5*a**4 - 6/5 - 4/5*a + m*a**3 = 0. Calculate a.
-1, 1, 3
Let y(o) be the second derivative of 0*o**2 + 1 - 2/3*o**4 + 1/2*o**5 - 9*o + 0*o**3 - 1/15*o**6. Factor y(u).
-2*u**2*(u - 4)*(u - 1)
Let h(i) = -i**2 - 423*i - 11788. Let v be h(-30). Solve -9/2*f + 15/2*f**v - 3/2*f**3 - 27/2 = 0 for f.
-1, 3
Factor 103*m**2 + 176 + 95*m**2 + 98*m**2 - 297*m**2 - 86*m.
-(m - 2)*(m + 88)
Let y be 1096/3288*(0/3)/(-3). Let -2/9*r**4 + 0 + 0*r - 2/3*r**3 + y*r**2 = 0. Calculate r.
-3, 0
Let x(u) be the first derivative of -u**4/6 + 34*u**3/9 + 64*u**2/3 - 160*u/3 - 5668. Factor x(s).
-2*(s - 20)*(s - 1)*(s + 4)/3
Suppose 144 - 694 = w. Let s = w + 552. Factor 2*i - s - 1/2*i**2.
-(i - 2)**2/2
Let g(z) be the second derivative of z**5/15 - 5*z**4/6 - 16*z**3 + 97*z**2 - 5*z + 17. Let o(q) be the first derivative of g(q). Factor o(i).
4*(i - 8)*(i + 3)
Let j(y) be the second derivative of 5*y**7/42 - y**6/2 - y**5/4 + 5*y**4/4 + 7*y + 13. Factor j(q).
5*q**2*(q - 3)*(q - 1)*(q + 1)
Let f(t) be the second derivative of t**5/3 + 425*t**4/12 - 335*t**3/18 - 160*t**2 + 428*t. Factor f(b).
5*(b - 1)*(b + 64)*(4*b + 3)/3
Let m(c) = 2*c**4 + 260*c**3 + 283*c**2 - 272*c - 285. Let u(q) = 2*q**4 - 4*q**3 + q**2 - 3. Let w(r) = m(r) - 3*u(r). Factor w(p).
-4*(p - 69)*(p - 1)*(p + 1)**2
Let b be (-21 + 19)*-2*1/5848. Let q = 20463/7310 + b. What is f in -16/5*f**2 + 3/5 - 3/5*f**4 - 2/5*f - q*f**3 = 0?
-3, -1, 1/3
Suppose 14*a - 228 = -5*a. Factor -a*o**2 - 4*o**3 - 9*o - 2062 + o**3 + 2062.
-3*o*(o + 1)*(o + 3)
Let t(r) be the third derivative of -r**8/1680 + 27*r**7/350 - 533*r**6/200 - 1681*r**5/300 - 1613*r**2. Factor t(y).
-y**2*(y - 41)**2*(y + 1)/5
Let k(s) be the second derivative of -s**4/28 - 116*s**3/7 + 385*s + 4. Factor k(d).
-3*d*(d + 232)/7
Let o(m) be the second derivative of -m**7/231 + 23*m**6/165 - 18*m**5/11 + 250*m**4/33 - 64*m**3/33 - 768*m**2/11 - 1741*m. Determine n, given that o(n) = 0.
-1, 2, 6, 8
Let r be ((5 + -14)*1)/(-1). Determine a so that a**2 - 3*a - 4*a - 19*a**2 - 6 - 4*a - r*a - 4*a**3 = 0.
-3, -1, -1/2
Suppose -101690 = 2*j - 7*j + k, 0 = -k. Let j*g**3 - 660*g**4 + 8360*g**2 - 2888*g - 9*g**5 - 4*g**5 - 5*g**5 - 25932*g**3 = 0. What is g?
-19, 0, 2/3
Let a(r) be the second derivative of -8 + 5*r - 1/12*r**4 + 0*r**2 - 1/2*r**3 + 1/80*r**5. Find z, given that a(z) = 0.
-2, 0, 6
Let y(z) = 6*z**2 + 151*z - 969. Let q be (-5)/(-2)*12/15. Let s(u) = -u**2 - 30*u + 194. Let g(x) = q*y(x) + 11*s(x). Factor g(h).
(h - 14)**2
Let b(i) = -i + 1. Suppose -3*p = -4*o - 8*p + 11, 3*p - 14 = 5*o. Let d(w) = -w**2 - 10*w - 1. Let a(j) = o*d(j) + 4*b(j). Factor a(k).
(k + 1)*(k + 5)
Let s = 3/4361 + 2855/2189222. Let c = 124/753 + s. Find m, given that -5/6 + 2/3*m + c*m**2 = 0.
-5, 1
Let z = 147 + -76. Let -1 + z*j - 4*j**2 - 358 + 9*j - 41 = 0. What is j?
10
Let z(r) = 4*r**2 + 193*r - 4684. Let p be z(-66). Find a such that 0 - 1/5*a**3 - 2/5*a**4 + 1/5*a**5 + 2/5*a**p + 0*a = 0.
-1, 0, 1, 2
Let w = 616 - 476. Find c, given that -w*c**2 - 5*c**3 + 213*c - 5*c - 63*c = 0.
-29, 0, 1
Let b(s) be the first derivative of s**4/20 - 2*s**3/5 + 32*s/5 - 5394. Factor b(k).
(k - 4)**2*(k + 2)/5
What is i in 808*i + 814*i - 2427*i + 805*i - 2*i**3 = 0?
0
Factor 729/7 + 1/7*o**2 + 54/7*o.
(o + 27)**2/7
Suppose 2*x = 4*i - 12, 3*x - 28*i + 6 = -26*i. Let p(o) be the third derivative of 0*o + x*o**3 + 3*o**2 - 1/36*o**4 - 1/180*o**6 + 0 - 1/45*o**5. Factor p(a).
-2*a*(a + 1)**2/3
Let k(s) be the third derivative of s**5/15 - 118*s**4/3 + 27848*s**3/3 + 90*s**2. Factor k(v).
4*(v - 118)**2
Let n(d) be the second derivative of -11/2*d**2 - 1/24*d**4 + 0 - 17*d - 23/12*d**3. Let n(c) = 0. What is c?
-22, -1
Factor -1836*r - 7235*r**2 + 14458*r**2 + 280908 - 7220*r**2.
3*(r - 306)**2
Let a = -128372 - -128372. Factor -8/7*n + a - 2/7*n**3 + 8/7*n**2.
-2*n*(n - 2)**2/7
Let t(m) be the first derivative of -2*m**3/3 + 2*m**2 + 448*m - 1743. Factor t(d).
-2*(d - 16)*(d + 14)
Let r(g) = g**2 - 205*g + 9517. Let n be r(71). Suppose -255*m**2 - 1/3*m**4 + 47/3*m**n + 1575*m - 2250 = 0. What is m?
2, 15
Let h = 25 + -21. Factor -8*p + 17*p**2 + h - 13*p**2 + 0.
4*(p - 1)**2
Let q be (-7714)/(-2755) - 2/(-4)*0. Let d = 1/133 + 261/665. Find i such that -d*i**2 - q*i + 16/5 = 0.
-8, 1
Factor -94337 - 411*y + 476*y - 366*y - 4*y**2 - 149699 - 1675*y.
-4*(y + 247)**2
Let q(i) be the second derivative of 6 + 0*i**6 - 1/40*i**5 - 1/36*i**4 + 0*i**2 + 0*i**3 - 4*i + 1/252*i**7. Determine v so that q(v) = 0.
-1, 0, 2
Let b = -2508499/2 + 1254250. Factor -11*h + 24 - b*h**2.
-(h - 2)*(h + 24)/2
Let o(x) = 4*x**3 + 2419*x**2 + 115836*x + 28804. Let y(z) = -3*z**3 - 1610*z**2 - 77224*z - 19203. Let j(f) = -5*o(f) - 8*y(f). Find v, given that j(v) = 0.
-98, -1/4
Let -288 - 20289*d**2 + 20288*d**2 - 527 + 168*d = 0. What is d?
5, 163
Let j(i) = i**3 + 20*i**2 - 2*i + 186. Let y be j(-18). Let s = y - 865. Factor -15/4*f**4 + 55/4*f**3 + 0 - 10*f**2 - s*f.
-5*f*(f - 2)**2*(3*f + 1)/4
Factor -48 + 41*k**2 - 85*k**2 - 105 - 44*k - 15 + 48*k**2.
4*(k - 14)*(k + 3)
Suppose 0 = -48*h + 52*h - 28. Suppose -5*z - 3 = 5*d + h, 0 = 4*z + 8. What is o in -4*o**4 + 0*o**2 + 0 + 2/5*o**5 + 0*o**3 + d*o = 0?
0, 10
Let c(z) = z**3 - 2*z. Let b be c(2). Let p be (21/5)/3 + (-13299)/11935. Factor 0 - 2/7*k + 2/7*k**b - p*k**2 + 2/7*k**3.
2*k*(k - 1)*(k + 1)**2/7
Let y(z) be the second derivative of -2*z**6/15 - 68*z**5/35 - 29*z**4/21 + 40*z**3/3 - 72*z**2/7 + z + 1008. Determine u, given that y(u) = 0.
-9, -2, 2/7, 1
Let a(p) be the first derivative of -2*p**5/5 - 5*p**4 + 14*p**3/3 + 64*p**2 - 120*p - 7917.