rst derivative of -s**6/15 + 76*s**5/5 - 73*s**4/2 - 832*s**3/3 + 444*s**2 + 13536*s/5 + 1239. Suppose m(y) = 0. What is y?
-2, 3, 188
Let v(w) = -w**5 + w**4 + w**3. Let m(u) = -u**5 - 9*u**4 + 19*u**3 + 4*u**2 - 18*u + 8. Let j(g) = m(g) - 3*v(g). Solve j(b) = 0 for b.
-1, 1, 4
Let j be (9/(-4 - -1) - -6) + 1. Factor 9*p**4 - 11*p**2 - j*p**4 - 24*p**3 + 6*p**2 + 19*p**3 + 5*p.
5*p*(p - 1)**2*(p + 1)
Let t(z) = z**2 + 119*z - 15. Let g(a) = 4*a**2 + 479*a - 65. Let f(i) = 6*g(i) - 26*t(i). Determine c, given that f(c) = 0.
-110, 0
Let h be 2 + (-8)/7 - 7206/8407. Suppose -3*i - 35 = -8*i + 4*t, -4*t = 5*i + 5. Factor -16/3*w**2 + h - 16/3*w - 4/3*w**i.
-4*w*(w + 2)**2/3
Suppose 0 = -24*s + 29*s - 45. Let h be (s/6)/(12/3344). Factor 2*l**4 + 418 + 4*l**2 - h + 6*l**3.
2*l**2*(l + 1)*(l + 2)
Let f(k) be the third derivative of k**5/40 - 735*k**4/8 + 540225*k**3/4 + 319*k**2 + 2. What is a in f(a) = 0?
735
Let z(c) be the second derivative of -c**4/78 - 382*c**3/13 - 1145*c**2/13 - 18*c - 24. Factor z(s).
-2*(s + 1)*(s + 1145)/13
Let p(h) be the first derivative of -261*h**3/5 + 471*h**2/2 - 18*h/5 - 2093. Find c, given that p(c) = 0.
2/261, 3
Let r(b) = b**2 - 11606*b - 8491391. Let d(n) = -4*n**2 + 40616*n + 29719868. Let y(h) = -5*d(h) - 18*r(h). Determine i, given that y(i) = 0.
-1457
Let x(p) = p**3 - 2*p**2 - 1. Let a(j) = -4*j**3 + 16*j**2 - 2*j + 2. Suppose 5*g = -350 + 355. Let q(r) = g*a(r) + 6*x(r). Factor q(v).
2*(v - 1)*(v + 1)*(v + 2)
Let b be (1/2)/(11/1034). Suppose 51*m - b*m - 8 = 0. Suppose m*v**3 - 2350*v - 5 + 2344*v + 1 = 0. Calculate v.
-1, 2
Let b(u) be the first derivative of 46 - 5/9*u**3 + 2/3*u**2 + 1/12*u**4 + 0*u. Let b(p) = 0. Calculate p.
0, 1, 4
Suppose 22 + 12 = 2*j. Let u = 278 + -263. Solve 13*o**2 - 28 + 13 + 16*o - j - u*o**2 = 0 for o.
4
Suppose -3*j + 5 = 2*j + t, -3*j + 11 = -t. Factor -155*v**j + 64*v**2 - 30*v - 72 + 88*v**2.
-3*(v + 4)*(v + 6)
Let r(o) be the first derivative of -3/4*o**4 + 62 + 1083*o - 37*o**3 - 969/2*o**2. Suppose r(y) = 0. What is y?
-19, 1
Let t be 1/6 - (-6 - 37/(-6)). Let c = -2945/2 - -1474. Factor c*x**2 + 3*x + t.
3*x*(x + 2)/2
Suppose 56*i - 55*i + 5 = 0. Let t be 35/4 + i - 3. Factor 3/2 - 9/4*f**2 + 3/4*f + 3/4*f**4 - t*f**3.
3*(f - 2)*(f - 1)*(f + 1)**2/4
Let v(x) be the first derivative of x**4/4 - 4*x**3/3 - x**2 + 113*x - 6. Let y be v(0). Factor -2 + y*a - 117*a + a**2 + 6.
(a - 2)**2
Let w(a) be the second derivative of a**6/10 + 18*a**5/5 + 103*a**4/4 + 78*a**3 + 114*a**2 + 686*a. Factor w(u).
3*(u + 1)*(u + 2)**2*(u + 19)
Let s(u) be the third derivative of u**7/525 - 43*u**6/150 + 262*u**5/25 + 598*u**4/3 + 16928*u**3/15 + 2*u**2 - u + 232. Find c such that s(c) = 0.
-4, -2, 46
Let x(h) be the second derivative of 3*h**5/40 - h**4 - 5*h**3/4 + 63*h**2 - 3*h - 439. Solve x(z) = 0.
-3, 4, 7
Let u(s) = -57*s**2 + 85*s - 1760. Let m(w) = 26*w**2 - 42*w + 880. Let q(o) = 13*m(o) + 6*u(o). What is g in q(g) = 0?
-20, 11
Suppose -4*a - 5*a = -207. Let i(u) = -a*u**2 + u**2 - 28*u**2 - 20*u**2 + 25 + 45*u. Let j(g) = 17*g**2 - 11*g - 6. Let f(v) = -6*i(v) - 25*j(v). Factor f(b).
-5*b*(b - 1)
Let o be (-28)/84 - 1/6 - 136/(-144). Factor o - 2/9*k**3 + 2/3*k + 0*k**2.
-2*(k - 2)*(k + 1)**2/9
Let m(c) be the first derivative of c**6/160 - c**5/10 + 13*c**4/32 - 3*c**3/4 + 4*c**2 + 5*c + 18. Let p(v) be the second derivative of m(v). Factor p(r).
3*(r - 6)*(r - 1)**2/4
Factor 4656/5*q**3 - 2/5*q**4 - 542890 - 1084848*q - 2705132/5*q**2.
-2*(q - 1165)**2*(q + 1)**2/5
Let v be (-1701)/84 - -38 - 17. Factor 3/2*y + 3/4*y**2 + v.
3*(y + 1)**2/4
Let k(v) be the first derivative of v**6/480 - 7*v**5/40 + 49*v**4/8 + 76*v**3/3 - 119. Let c(w) be the third derivative of k(w). Factor c(i).
3*(i - 14)**2/4
Let o(v) be the first derivative of -2*v**3/3 - 11*v**2/2 - 8*v + 7. Let z be o(-4). Factor 8*n + z*n**2 - 35 + 35.
4*n*(n + 2)
Let x = 506 + -516. Let u(y) = y**4 + y**3 - y**2 - 1. Let w(b) = 25*b**3 - 10. Let i(k) = x*u(k) + w(k). Factor i(f).
-5*f**2*(f - 2)*(2*f + 1)
Let w(j) be the first derivative of -4*j**3 + 0*j + 64 + 2*j**2 - 4/5*j**5 + 3*j**4. Let w(b) = 0. What is b?
0, 1
Solve -9/2*a + 27 - 3/2*a**2 = 0 for a.
-6, 3
Let q(j) be the third derivative of j**6/600 - 23*j**5/150 + 131*j**4/120 - 43*j**3/15 + 99*j**2 - 6*j. What is d in q(d) = 0?
1, 2, 43
Let a = 4033 - 4031. Let c(n) be the first derivative of 0*n + 0*n**a + 11 - 5/3*n**3. Determine t, given that c(t) = 0.
0
Let m(q) be the first derivative of -q**6/90 - q**5/24 - 56*q**3/3 + 18. Let w(v) be the third derivative of m(v). Factor w(z).
-z*(4*z + 5)
Let r = -322 - -319. Let x(z) = -3*z**3 - 61*z**2 + 18*z - 2. Let i(p) = 3*p**3 + 62*p**2 - 17*p + 3. Let g(b) = r*x(b) - 2*i(b). Factor g(n).
n*(n + 20)*(3*n - 1)
Factor 4 + 14/3*p + 2/3*p**2.
2*(p + 1)*(p + 6)/3
Let j(b) = -b**3 - 4*b**2 + 14*b - 15. Let m be j(-6). Let s be 24/16*(-8)/m. Let 2/9*l + 2/9*l**5 - 2/9 + 4/9*l**2 - 2/9*l**4 - s*l**3 = 0. What is l?
-1, 1
Let o = -36929 - -37065. Let -556/7*a + 80/7 + o*a**2 + 7*a**3 = 0. What is a?
-20, 2/7
Suppose 140*d + 38889 = 143*d. Suppose 796*j**2 + 4348 - d*j + 698 + 80*j**2 - 15*j**3 = 0. What is j?
2/5, 29
Let x(n) be the third derivative of n**6/1500 + 2*n**5/125 + 9*n**4/100 + 967*n**2. Factor x(f).
2*f*(f + 3)*(f + 9)/25
Let v = -46 - -56. Suppose 5*j - v = 3*j + 2*d, -4*j = -5*d - 21. Factor 5*q**j + 11*q - 15*q**3 + 2*q - 5*q**2 + 2*q.
5*q*(q - 3)*(q - 1)*(q + 1)
Let x(i) be the first derivative of 3/2*i**2 + 0*i - 2 + 1/4*i**4 - 4/3*i**3. Solve x(a) = 0 for a.
0, 1, 3
Let j(r) = 28*r**2 + 1340*r - 72. Let x(y) = -4*y**2 - 191*y + 10. Let f(i) = -5*j(i) - 36*x(i). Factor f(o).
4*o*(o + 44)
Let c(a) be the second derivative of -6*a**2 - 2*a + 1/3*a**5 + 0*a**3 + 1/24*a**6 + 5/6*a**4 + 0. Let m(j) be the first derivative of c(j). Factor m(b).
5*b*(b + 2)**2
Suppose 19*d - 27*d + 63 = 13*d. Let p(v) be the second derivative of 1/36*v**d - 1/120*v**5 - 32*v + 0 + 1/12*v**2 - 1/72*v**4. Let p(b) = 0. What is b?
-1, 1
Let c(j) be the first derivative of -j**6/180 + 11*j**5/30 - 121*j**4/12 - 5*j**3/3 - j**2/2 - 86. Let b(g) be the third derivative of c(g). Factor b(r).
-2*(r - 11)**2
Let 0*u + 96/7*u**4 + 4/7*u**5 + 0 - 100/7*u**3 + 0*u**2 = 0. What is u?
-25, 0, 1
Let j(v) be the third derivative of v**7/2520 - v**6/72 + 205*v**4/24 - 201*v**2. Let w(u) be the second derivative of j(u). Factor w(m).
m*(m - 10)
Let u(f) be the second derivative of -5*f**4/12 - 575*f**3/6 - f + 2827. Let u(r) = 0. What is r?
-115, 0
Solve 16*s + 8*s**2 + 130 - 97 - 33 + s**3 = 0 for s.
-4, 0
Let a(c) be the first derivative of -3/25*c**5 - 134 - 8/5*c**3 + 21/20*c**4 + 0*c - 24/5*c**2. Factor a(v).
-3*v*(v - 4)**2*(v + 1)/5
Suppose -3*s - 32*z + 10 = -27*z, z = 3*s - 16. Let 4/7*r**4 + 16/7*r**3 - 16/7*r**2 - 4/7*r**s + 0 + 0*r = 0. Calculate r.
-2, 0, 1, 2
Let o(z) be the second derivative of 21/8*z**4 - 3/5*z**5 + 1/20*z**6 + 160*z + 6*z**2 + 0 - 11/2*z**3. Suppose o(x) = 0. Calculate x.
1, 2, 4
Let m(o) be the second derivative of o**7/420 + 7*o**6/240 - o**5/10 - o**4/4 - o**2/2 + 126*o. Let q(u) be the third derivative of m(u). Factor q(n).
3*(n + 4)*(2*n - 1)
Let n(g) be the second derivative of 3*g**5/10 - 5*g**4/6 + 2*g**3/3 + 743*g + 2. Let n(u) = 0. What is u?
0, 2/3, 1
Let q = -18111 + 18111. Let y(z) be the first derivative of -5/18*z**3 + q*z + 0*z**2 + 5/24*z**4 + 1/6*z**5 - 5/36*z**6 + 13. Factor y(c).
-5*c**2*(c - 1)**2*(c + 1)/6
Let 18/5 + 106/5*f - 124/5*f**2 = 0. What is f?
-9/62, 1
Let v(m) be the first derivative of -65*m**4/2 - 385*m**3/3 - 245*m**2/2 + 10*m - 1964. Factor v(w).
-5*(w + 1)*(w + 2)*(26*w - 1)
Let n(m) = 12226*m - 61126. Let u be n(5). Determine c, given that -1/6*c**5 + 1/6*c**3 + 0*c + 2/3*c**2 - 2/3*c**u + 0 = 0.
-4, -1, 0, 1
Suppose -2*f = g - 14, 7*f = 8*f - g - 1. Let h(x) be the third derivative of 1/3*x**4 + 0*x**3 - x**2 - 1/15*x**f + 0 + 0*x. Factor h(s).
-4*s*(s - 2)
Let t(b) = -b**2 - 4*b + 14. Let o be t(-6). Let g be 210/392 + -4 + (-52)/(-14). Determine y, given that 2*y - 4 - g*y**o = 0.
4
Let r(x) be the third derivative of x**7/504 + x**6/36 + x**5/6 + 43*x**4/8 - x**2 + 68. Let l(c) be the second derivative of r(c). Factor l(u).
5*(u + 2)**2
Let h be (-114092)/(-25