7*k + 46. Let y be c(4). What is o in 44058*o**3 - y*o**4 + 4*o**5 + 399*o - 43642*o**3 + 1120*o**2 + 78*o**4 + 945*o + 576 = 0?
-6, -2, -1
Let l(m) be the first derivative of m**3/6 + 499*m**2/4 + 249*m + 6076. Factor l(h).
(h + 1)*(h + 498)/2
Let w(x) be the third derivative of -13/300*x**5 + 0 + x**2 - 6/5*x**3 - 1/600*x**6 - 3*x - 1/3*x**4. Solve w(v) = 0.
-9, -2
Suppose l = -l + 6. Suppose -4*s + 28 = 10*s. Factor 18*f**s + 22*f**3 + 14 - 36*f - 25*f**l + 10.
-3*(f - 2)**3
Let s = -201 + 217. Suppose 0 = 4*q + 4*c - s, -5*q + 18 = 42*c - 38*c. Solve 16/3*h + 4/3 + 7/3*h**q = 0.
-2, -2/7
Let p(l) be the third derivative of l**6/24 + 59*l**5/12 + 395*l**4/12 - 1400*l**3/3 - 3*l**2 + 2*l + 179. Factor p(a).
5*(a - 2)*(a + 5)*(a + 56)
Let t(d) be the second derivative of d**5/200 - 6881*d**4/120 + 592024*d**3/3 - 591680*d**2 - 26*d + 56. Determine q so that t(q) = 0.
1, 3440
Suppose -15*j = 87*j + 4*j - 92 - 226. Solve 24/7*p**2 - 22/7*p - 2/7*p**j + 0 = 0 for p.
0, 1, 11
Let i(f) be the second derivative of f**5/135 + 115*f**4/216 - 29*f**3/54 - f**2 - 2*f. Let x(a) be the first derivative of i(a). Find l, given that x(l) = 0.
-29, 1/4
Factor -144/7*u + 1100/7 + 4/7*u**2.
4*(u - 25)*(u - 11)/7
Let y(x) = x**2 + 5352*x + 32078. Let w be y(-6). Factor -8/3*z + 2/3*z**w + 8/3.
2*(z - 2)**2/3
Let p be (-5)/(((-10)/(-2))/(95 - 100)). Let x(t) be the third derivative of 1/60*t**p - 13*t**2 + 0*t**4 + 0*t**3 + 0*t + 0. What is g in x(g) = 0?
0
Factor 6/5*a + 11/5*a**2 + 1/5*a**4 + 6/5*a**3 + 0.
a*(a + 1)*(a + 2)*(a + 3)/5
Let x = 588 + -558. Suppose x*k**3 + 285*k**2 + 279*k - 194 + 43*k**3 + 32 - k**4 + 4*k**4 + 2*k**4 = 0. Calculate k.
-9, -3, 2/5
Let a(k) be the third derivative of -k**8/448 - k**7/840 + 13*k**6/480 - k**5/80 - 7*k**4/48 + k**3/3 + 351*k**2 + 4*k. Solve a(x) = 0 for x.
-2, -4/3, 1
Let x = -292 - -250. Let c be (-15 - 658/x) + (-448)/(-138). Solve 12/23 - c*h**2 + 34/23*h = 0 for h.
-2/9, 3/5
Let t(h) be the second derivative of h**5/130 - 176*h**4/39 + 695*h**3/13 - 3114*h**2/13 + 24*h - 18. Determine c, given that t(c) = 0.
3, 346
Let n(o) be the first derivative of -o**4/8 + 931*o**3/3 - 3721*o**2/4 + 930*o - 6743. Factor n(h).
-(h - 1860)*(h - 1)**2/2
Let q(p) be the first derivative of -2*p**3/3 + 775*p**2 - 1548*p + 372. Determine b so that q(b) = 0.
1, 774
Let q = 5281/86 + -2576/43. Find i, given that q*i**4 + 1/4*i**5 + 9/4*i**3 + 0*i + 0*i**2 + 0 = 0.
-3, 0
Let c(t) = t**2 + 29*t + 29. Let h(r) = r**2 - 2*r + 7. Let u(b) = -c(b) - h(b). Solve u(g) = 0.
-12, -3/2
Suppose 86 + 54 = 5*m - z, 0 = 5*m - 3*z - 140. Find p, given that m*p**2 - 17*p**2 - 7*p**2 - 4 = 0.
-1, 1
Let b(u) be the third derivative of -u**7/70 - 181*u**6/40 + 91*u**5/10 - 1204*u**2 + 2. Suppose b(r) = 0. Calculate r.
-182, 0, 1
Factor -220*p - 115/3*p**2 - 5/3*p**3 + 0.
-5*p*(p + 11)*(p + 12)/3
Let m(r) = -18*r**2 - 24*r. Let l(s) = 0 + 6 - 4 + 0 - 1. Let g(k) = k - 1. Let t be g(9). Let z(a) = t*l(a) - m(a). Let z(j) = 0. What is j?
-2/3
Let r(t) = -127*t**4 + 257*t**3 - 640*t**2 - 2400*t. Let m(u) = 55*u**4 - 129*u**3 + 320*u**2 + 1200*u. Let n(c) = 7*m(c) + 3*r(c). Factor n(w).
4*w*(w - 30)*(w - 5)*(w + 2)
Suppose -165 = -5*o + 2*x, 0*o - 3*o + 99 = 4*x. Suppose 45 = 4*d + o. Suppose 1 - 1 - d*c - 1 + 5*c - c**2 = 0. What is c?
1
Let b(t) be the third derivative of -t**8/25200 + t**7/6300 + t**6/450 - t**5/10 - 11*t**4/24 + 28*t**2. Let z(w) be the third derivative of b(w). Factor z(l).
-4*(l - 2)*(l + 1)/5
Factor 3/7*b**5 - 9/7*b**4 + 3/7 + 6/7*b**3 - 9/7*b + 6/7*b**2.
3*(b - 1)**4*(b + 1)/7
Suppose 5*f + 0*i + 3*i - 16 = 0, 0 = -4*f + 3*i + 2. Factor 16*u + 18*u + 10*u + 3*u**f + u**2.
4*u*(u + 11)
Let i = -20 + 22. Suppose 4*b = -20, 4*f - 5*b - 20 = 21. Factor -20*x**4 + x**i + 42*x**f - 23*x**4.
-x**2*(x - 1)*(x + 1)
Let n be ((-44)/(-2640))/(10/25). Let v(t) be the third derivative of 1/3*t**5 - 29*t**2 - n*t**6 + 0 - 15*t**3 + 5/8*t**4 + 0*t. Solve v(d) = 0 for d.
-2, 3
Factor 220/3*z + 4/3*z**2 + 688.
4*(z + 12)*(z + 43)/3
Let a(o) be the first derivative of o**6/270 + 2*o**5/5 + 18*o**4 + 432*o**3 - o**2/2 - 46*o + 124. Let k(x) be the second derivative of a(x). Factor k(u).
4*(u + 18)**3/9
Let w(q) be the first derivative of -q**4/3 + 112*q**3/9 + 62*q**2/3 - 232*q/3 + 654. Factor w(m).
-4*(m - 29)*(m - 1)*(m + 2)/3
Let s(k) = 24*k**2 + 10*k - 11. Let i be s(-1). Let d(t) be the third derivative of -18*t**2 + 1/56*t**4 + 0 + 0*t**i + 0*t - 1/35*t**5. What is v in d(v) = 0?
0, 1/4
Let n(u) be the second derivative of -u**4/36 - 32*u**3/3 + 193*u**2/6 + 1364*u. Factor n(x).
-(x - 1)*(x + 193)/3
Let v(j) be the third derivative of -2 + 18/35*j**7 + 61/50*j**6 + 5/112*j**8 + 0*j**3 - 11*j**2 + 0*j - 72/25*j**5 + 8/5*j**4. Suppose v(s) = 0. What is s?
-4, 0, 2/5
Factor 36*i**3 - 205*i - 128 - 2*i**5 + 61*i**3 + 109*i + 36*i**4 + 6*i**5 + 7*i**3 + 80*i**2.
4*(i - 1)*(i + 2)**3*(i + 4)
Let x be (-1 - (-6)/4)/(93/558). Find u such that 8 + 64*u**4 + 2*u**2 + x + 24*u**3 - 24*u - 74*u**4 - 3 = 0.
-1, 2/5, 1, 2
Suppose 10*f - 11 - 9 = 0. Suppose -4 = -f*m, v = 8*m - 7*m. What is u in -4*u**3 + 4 + 155*u**4 + 8*u - 4*u**3 + u**2 - v*u**2 - 158*u**4 = 0?
-2, -1, -2/3, 1
Let b(z) = -6*z**3 - 27*z**2 - 31*z + 10. Let t(k) = -5*k**3 + 8 - 5*k - 26*k**2 - 24*k - 6*k**3 + 2*k**3 + 4*k**3. Let l(n) = -4*b(n) + 5*t(n). Factor l(i).
-i*(i + 1)*(i + 21)
Factor 500000/9 + 530000/9*v + 4/9*v**4 + 3400*v**2 + 604/9*v**3.
4*(v + 1)*(v + 50)**3/9
Let f be -9*-2*4/(-12). Let s(a) = -a**2 - 6*a + 2. Let y be s(f). Factor 10 + 6 + y*o**2 - o**2 + 8*o.
(o + 4)**2
Let f(g) be the third derivative of g**7/105 - 56*g**6/15 + 2164*g**5/5 - 12320*g**4/3 + 48400*g**3/3 - 7*g**2 - 29*g. Determine n so that f(n) = 0.
2, 110
Let 82*y**3 + 20 - 56*y**2 - 374*y - 47*y**3 - 20 - 37*y**3 = 0. Calculate y.
-17, -11, 0
Let s(m) be the second derivative of -20/3*m**4 + 26/15*m**6 - 87*m + 10/21*m**7 - 6/5*m**5 + 1 + 16/3*m**3 + 0*m**2. Solve s(o) = 0 for o.
-2, 0, 2/5, 1
Let o(v) = -v + 7. Let f be o(-5). Suppose 0 = -16*j + f*j + 8. Factor 25*k**4 + 10*k**3 + 15*k**5 + 6*k + j*k - 8*k.
5*k**3*(k + 1)*(3*k + 2)
Let a(l) = -14*l + 36*l - 216 + 10*l - 2*l + 32*l - 6*l**2. Let z(q) = -4*q**2 + 42*q - 144. Let d(t) = 5*a(t) - 8*z(t). Factor d(x).
2*(x - 9)*(x - 4)
Let t(u) be the first derivative of u**4/18 - 76*u**3/27 - 79*u**2/9 - 80*u/9 + 2622. Factor t(n).
2*(n - 40)*(n + 1)**2/9
Factor 12 + s**2 - 56/3*s.
(s - 18)*(3*s - 2)/3
Let q(w) be the third derivative of -w**5/90 - 17*w**4/36 - 10*w**3/3 + w**2 - 13*w - 3. Determine z so that q(z) = 0.
-15, -2
Let w(i) = 3*i**2 - 15*i + 4. Let x(d) = -d**2 + 274*d + 8 - 269*d - 10. Let k(y) = -2*w(y) - 7*x(y). Factor k(b).
(b - 3)*(b - 2)
Let d be 0 - 7 - (-37)/37 - -6. Factor -4/3*v**2 + d*v + 2/3*v**4 - 2/3*v**3 + 0.
2*v**2*(v - 2)*(v + 1)/3
Let t be 2/((119/(-14))/(-17)). Find a, given that -200*a**4 - 3*a**5 - 48*a + 36*a**3 + 12*a**2 + 93*a**t + 110*a**4 = 0.
-2, 0, 1, 4
Let u = -19874/195 + 1370/13. What is o in 22/15*o - u + 2/15*o**2 = 0?
-13, 2
Let f(q) be the second derivative of 2/105*q**6 + 9/35*q**5 + 0*q**2 + 5/7*q**4 + 53 - 50/21*q**3 - q. Suppose f(p) = 0. Calculate p.
-5, 0, 1
Let u(f) be the second derivative of -f**5/150 - 73*f**4/30 - 96*f**3/5 - 172*f**2/3 - 4561*f. Suppose u(o) = 0. What is o?
-215, -2
Let t(r) be the first derivative of 9/2*r - 6/5*r**5 + 39/4*r**2 - 39/8*r**4 + 1/2*r**3 - 48. Determine p, given that t(p) = 0.
-3, -1, -1/4, 1
Let f(v) = -5*v**2 - 563*v - 546. Let i(c) = -9*c**2 - 1125*c - 1096. Let b(o) = -5*f(o) + 3*i(o). Factor b(u).
-2*(u + 1)*(u + 279)
Let o be (-6)/((-1)/(3/2 - 1)). Let f = -14183/4 - -3546. Determine k, given that 0 + 9/4*k**2 + f*k**4 + 0*k + 3/2*k**o = 0.
-3, 0
Let q = -10856 - -10858. Let d(u) be the third derivative of 18*u**q + 7/480*u**5 + 1/12*u**3 + 0*u + 0 + 1/12*u**4. Suppose d(y) = 0. Calculate y.
-2, -2/7
Let t be 160/(-78)*(147/5 - 30). Factor 2/13*b**5 + t*b**3 + 0 + 10/13*b**4 + 8/13*b**2 + 0*b.
2*b**2*(b + 1)*(b + 2)**2/13
Let m = 692127/25 - 27685. Suppose m*a**3 - 1152/25 - 98/25*a**2 + 1248/25*a = 0. What is a?
1, 24
Suppose -395 = 18*w - 97*w. Let k(m) be the second derivative of 3/50*m**w + 0 - 12*m - 3/20*m**4 + 1/10*m**3 + 0*m**2. Factor k(o).
3*o*(o -