1/480*c**6 + 9*c**2 + 2/3*c**3 + 0 + 5/24*c**4. What is p in t(p) = 0?
-4, -2
Let g(u) be the first derivative of 7*u**5/40 - 19*u**4/32 - 13*u**3/24 + 19*u**2/16 + 3*u/4 + 39. Find m, given that g(m) = 0.
-1, -2/7, 1, 3
Let u(c) be the third derivative of 0 - 1/270*c**5 + 0*c**3 + 0*c + 6*c**2 + 1/108*c**4. Let u(w) = 0. Calculate w.
0, 1
Let u(w) be the third derivative of 4/1155*w**7 + 0 + 10*w**2 + 4/33*w**3 + 1/330*w**5 + 0*w + 1/11*w**4 - 1/55*w**6. Factor u(c).
2*(c - 2)**2*(2*c + 1)**2/11
Let c(v) be the third derivative of -2*v**6/15 - 7*v**5/15 + 7*v**4/3 - 2*v**3 + 5*v**2 + 3*v. Let c(j) = 0. What is j?
-3, 1/4, 1
Let y be 282/408 + 1078/119 + -9. Factor 1/2*r**3 - r - 1/4*r**4 - 1 + y*r**2.
-(r - 2)**2*(r + 1)**2/4
Let i(z) be the first derivative of z**7/21 - z**6/5 + 3*z**5/10 - z**4/6 - 17*z + 11. Let h(m) be the first derivative of i(m). Factor h(s).
2*s**2*(s - 1)**3
Determine a, given that 752/3*a**2 - 2*a**3 - 5292 - 7770*a = 0.
-2/3, 63
Factor 3/2*i**2 - 6 - 9/2*i.
3*(i - 4)*(i + 1)/2
Let p be (10 + 8 + (-2 - 4))/5. Suppose -2 + p*r - 2/5*r**2 = 0. Calculate r.
1, 5
Let -16*m**4 + 2*m**5 + 197 - 105*m + 142 - 14*m**3 - 195 + 417*m + 172*m**2 = 0. Calculate m.
-2, -1, 6
Factor -16/3*c - 1/3*c**2 + 0.
-c*(c + 16)/3
Let b(i) be the second derivative of -7*i**6/6 + 15*i**5/2 - 145*i**4/12 + 5*i**3 - 7*i + 3. Factor b(q).
-5*q*(q - 3)*(q - 1)*(7*q - 2)
Let u = 9 + -12. Let b be (-1 - (0 + u)) + 0. Factor 0*y + 3*y**b - 10*y + 27 - 8*y.
3*(y - 3)**2
Find p such that -156199 - 5*p**3 + 290*p - 135*p**2 + 156199 = 0.
-29, 0, 2
Factor -28/5*t**2 - 3/5*t**3 + 32/5 - 28/5*t.
-(t + 2)*(t + 8)*(3*t - 2)/5
Let o = -6 + 11. Let z(b) = b**3 + 8*b**2 - 10*b - 7. Let l be z(-9). Factor x**l - o*x**3 + 21*x - 18*x - 2*x**2 + 2*x**3 + 2 - x**4.
-(x - 1)*(x + 1)**2*(x + 2)
Let h(n) be the second derivative of -n**8/6720 - n**7/3360 + n**6/1440 + n**5/480 - 11*n**3/6 - 5*n. Let d(a) be the second derivative of h(a). Factor d(u).
-u*(u - 1)*(u + 1)**2/4
Let t(i) be the second derivative of -2*i**6/45 + i**5/5 + i**4/3 - 14*i**3/9 - 4*i**2 + 81*i. Find d, given that t(d) = 0.
-1, 2, 3
Let f be 6*234/378 - 2*(-3)/21. Find m, given that 42/17*m**3 - 54/17*m**5 + 16/17*m**2 - 36/17*m**f + 0 - 8/17*m = 0.
-1, -2/3, 0, 1/3, 2/3
Let a be (26*(-34)/(-221))/(1*7). Find g, given that a + 5/7*g**2 + 8/7*g + 1/7*g**3 = 0.
-2, -1
Let y(s) be the third derivative of s**5/240 + 23*s**4/48 - 47*s**3/24 + 47*s**2. Solve y(o) = 0.
-47, 1
Let s(g) = 42*g**3 - 40*g**2 - 169*g + 382. Let y(r) = -8*r**3 + 8*r**2 + 34*r - 76. Let d(l) = -2*s(l) - 11*y(l). Factor d(p).
4*(p - 3)*(p - 2)*(p + 3)
Let g = 1/1481 + 536/1399545. Let k(o) be the third derivative of 0*o**5 + 8*o**2 + 0*o + g*o**7 + 0*o**3 + 0 + 0*o**4 - 1/540*o**6. What is h in k(h) = 0?
0, 1
Let z(i) = -40*i**3 + i**2 + i - 1. Let a be z(1). Let l be 6/a + (-3)/13*-18. Determine m so that 0 - 5*m**2 + 25/4*m**5 - 21/4*m**3 - m + 5*m**l = 0.
-1, -2/5, 0, 1
Let j(s) be the third derivative of s**5/60 + 13*s**4/4 + 507*s**3/2 + 254*s**2. Factor j(u).
(u + 39)**2
Factor -12*h**2 + 1280/3 - 19/6*h**3 + 224/3*h - 1/6*h**4.
-(h - 5)*(h + 8)**3/6
Solve 19 + 560*g - 3*g**3 + 13 - 13*g**2 + g**3 - 19*g**2 - 558*g = 0.
-16, -1, 1
Let l be 3/12*-17 + 5. Find k such that -1/4*k**3 - 1/2*k + 0 + l*k**2 = 0.
0, 1, 2
Find x such that -75 + 33/2*x**3 - 423/4*x**2 + 165*x - 3/4*x**4 = 0.
1, 10
Let q(t) = t**3 - 13*t**2 + t + 14. Let l be q(13). Let w = l + -23. Factor 14/9*m + 16/9*m**2 - 4/9*m**w + 4/9 + 4/9*m**3 - 2/9*m**5.
-2*(m - 2)*(m + 1)**4/9
Let r(b) = 25 - 22 - 60*b**3 + 60*b - 23 + 96*b**2. Let n(j) = -j**2. Let z(d) = n(d) + r(d). Factor z(p).
-5*(p - 2)*(3*p + 2)*(4*p - 1)
Let w(n) be the second derivative of -n**5/45 - n**4/3 - 46*n**3/27 - 10*n**2/3 - 53*n. Solve w(m) = 0 for m.
-5, -3, -1
Let f(y) = y**4 + y**3 + y**2 - y - 1. Let l(c) = -9*c**5 - 32*c**4 + 45*c**3 + 41*c**2 - 36*c - 2. Let r(a) = -21*f(a) + 3*l(a). Suppose r(q) = 0. What is q?
-5, -1, 1/3, 1
Let i(c) = 2*c**3 - 17*c**2 + 77*c - 17. Let n(y) = y**3 - 6*y**2 + 26*y - 6. Let r(x) = 6*i(x) - 17*n(x). Determine d so that r(d) = 0.
-2, 0, 2
Let c(q) be the second derivative of -2*q**3 + 1/6*q**4 + 16/15*q**6 + q**2 + 0 - 10*q + 12/5*q**5. Suppose c(a) = 0. Calculate a.
-1, 1/4
Let g(x) = -x**3 - 14*x**2 + 10*x - 11. Let f be g(-15). Suppose -f = -6*b + 44. Factor 0*w**4 + 15*w + b*w**4 - 3*w**4 + 30*w**3 - 1 + 3*w**5 + 4 + 30*w**2.
3*(w + 1)**5
Let d(f) = -f**3 + 6*f**2 + 3*f - 7. Let w be d(6). Suppose 3*m - 26 = -w. Find k, given that 20*k + k**m + 4*k**4 + 5*k**5 - 20*k = 0.
-2/3, 0
Let a(v) be the third derivative of -1/10*v**5 - 5/4*v**4 + 0 + 0*v - 25/3*v**3 - 1/300*v**6 - 27*v**2. Factor a(u).
-2*(u + 5)**3/5
Let h = 2776 - 2772. Factor -2/5*m + 2/5*m**5 + 4/5*m**2 + 0 + 0*m**3 - 4/5*m**h.
2*m*(m - 1)**3*(m + 1)/5
Factor -14*i**2 + 5*i - i - 1794*i**3 - 2*i**4 + 2*i + 1804*i**3.
-2*i*(i - 3)*(i - 1)**2
Let r(y) be the second derivative of 7*y**6/150 - y**5/20 - 37*y**4/60 - 31*y**3/30 - 3*y**2/5 - 2*y + 298. Factor r(j).
(j - 3)*(j + 1)**2*(7*j + 2)/5
Suppose -257*p + 267*p - 24 - 6 = 0. Factor -4/9*t**p + 2/9*t**4 + 4/9*t - 2/9*t**2 + 0.
2*t*(t - 2)*(t - 1)*(t + 1)/9
Suppose -g = 5*g - 2*g. Factor g + 2/11*a**4 + 0*a + 6/11*a**3 + 4/11*a**2.
2*a**2*(a + 1)*(a + 2)/11
Let w = 64/37 + -731/444. Suppose 0*y + w*y**2 - 1/3 = 0. What is y?
-2, 2
Let f(p) be the first derivative of 4/9*p - 7/18*p**4 - 19 - 1/3*p**2 - 8/9*p**3. Determine d so that f(d) = 0.
-1, 2/7
Let y(k) be the first derivative of 175*k**6/6 + 204*k**5 + 2155*k**4/4 + 670*k**3 + 410*k**2 + 120*k + 469. Solve y(q) = 0 for q.
-2, -1, -3/7, -2/5
Let z(w) be the second derivative of w**4/4 - 88*w**3 + 11616*w**2 + 391*w. Suppose z(q) = 0. What is q?
88
Let i(r) = -2*r + 6. Let v be i(8). Let n be (-1)/(10/8)*v. Find h, given that -n*h**5 + 5*h**3 + 5*h**2 - 100*h**4 + 3*h**3 - 42*h**5 + 11*h**2 = 0.
-2, -2/5, 0, 2/5
Let i(r) be the second derivative of -r**6/15 - 7*r**5/10 + 3*r**4/2 + 7*r**3/3 - 8*r**2 + 2*r - 48. Find f such that i(f) = 0.
-8, -1, 1
Let x(j) be the third derivative of -1/42*j**4 - 1/210*j**5 + 1/14*j**3 + 1/210*j**6 + 0 - 19*j**2 + 0*j - 1/1470*j**7. Solve x(k) = 0 for k.
-1, 1, 3
Let c(w) be the first derivative of -32/35*w**5 - 44/7*w**4 - 5/7*w**2 - 82/21*w**3 - 40 + 0*w. Let c(h) = 0. Calculate h.
-5, -1/4, 0
Suppose 3*t - 6*t = -9. Solve 44*c**3 + c**2 - 47*c**t - 4*c**2 = 0.
-1, 0
Let w be (52591/245)/11 - (-5)/25. Factor 99/7*v - 27/7 + 90/7*v**3 - w*v**2 + 3/7*v**5 - 27/7*v**4.
3*(v - 3)**2*(v - 1)**3/7
Suppose 0 = 2*m + 4, 2642*o + 2*m = 2637*o + 96. Solve -4/3*j**3 - o*j - 12 - 28/3*j**2 = 0 for j.
-3, -1
Let j = -42 + 42. Let s be -1 + 3 - j/1. Let 0 - 3/7*l**s + 0*l = 0. Calculate l.
0
Suppose -5*q - 12 = 2*f - q, 5*q - 12 = 2*f. Let s be f*(-3)/(-6)*-1. Solve -3*z**s + 3*z + 9*z**4 - 6*z**2 - 9*z**2 + 6*z**4 = 0.
-1, 0, 1/5, 1
Let x = -230 - -178. Let m = x - -54. Solve 1/2*g**m + 0*g + 0 = 0 for g.
0
Suppose -26*g + 23*g = 0. Let s be (-4 - g) + 240/45. What is t in -13/3*t**2 - 5/3*t**3 + 4/3 - s*t = 0?
-2, -1, 2/5
Let n(u) be the first derivative of -5/2*u**2 + 0*u + 5/2*u**3 - 5/8*u**4 - 7. Factor n(r).
-5*r*(r - 2)*(r - 1)/2
Let p = -12 + 3. Let z be (-22)/(-33)*p/(-15). Factor -z*f + 4/5*f**4 + 0*f**3 + 2/5*f**5 + 0 - 4/5*f**2.
2*f*(f - 1)*(f + 1)**3/5
Let f(p) be the third derivative of -p**6/24 + 41*p**5/12 - 95*p**4/12 - 200*p**3/3 + 533*p**2. Determine l so that f(l) = 0.
-1, 2, 40
Let b(f) be the first derivative of 12*f**3 - 18*f**2 - 15. Let a(q) = -7*q**2 + 7*q. Let o(g) = 21*a(g) + 4*b(g). Factor o(t).
-3*t*(t - 1)
Let f(g) be the second derivative of g**5/20 - 5*g**4/4 + 23*g**3/6 + 39*g**2/2 - 34*g + 6. Solve f(z) = 0 for z.
-1, 3, 13
Suppose 0*u = u - 0*u. Suppose 4 = 4*q - p - u, 2*q = -4*p + 20. What is t in 1/6*t**3 + 1/6*t**4 + 0 + 0*t + 0*t**q = 0?
-1, 0
Let t(k) = -2*k**4 + 4*k**3 - 2*k**2 - 3*k + 3. Let b = -19 - -15. Let r(c) = -3*c**4 + 5*c**3 - 2*c**2 - 4*c + 4. Let j(d) = b*t(d) + 3*r(d). Factor j(x).
-x**2*(x - 1)*(x + 2)
Let l(n) be the first derivative of -n**6/3 + 16*n**5/5 - 2*n**4 - 116*n**3/3 + 5*n**2 + 100*n - 168. Determine t so that l(t) = 0.
-2, -1, 1, 5
Let x(n) be the third derivative of n**6/300 + n**5/30