 332*m**5/5 + 1469*m**4/8 - 359*m**3/6 - 14*m**2 + 8*m - 12217. What is a in n(a) = 0?
-1/5, 1/4, 4
Let f(s) = -2*s**2 - 15*s + 9. Let q be f(-7). Suppose -11*d = -q*d + 320. Factor d*l**5 + 4*l**2 + 96*l**4 + 73*l**3 - 26*l**3 - 11*l**3.
4*l**2*(l + 1)*(4*l + 1)**2
Let p(s) be the first derivative of 2*s**6/15 - 4*s**5/5 + 4*s**4/3 - 22*s + 22. Let f(y) be the first derivative of p(y). Solve f(n) = 0 for n.
0, 2
Determine g, given that 0 - 1/2*g**4 + 10*g + 13/2*g**3 - 16*g**2 = 0.
0, 1, 2, 10
Let w(h) = 171960*h - 1031696. Let u be w(6). Solve 88/3*k + u - 4/3*k**2 = 0.
-2, 24
Let o be (-42)/(-2) + 9843/772. Factor 6075/8 - o*l + 3/8*l**2.
3*(l - 45)**2/8
Let z(o) be the first derivative of -2/25*o**5 - 2/5*o**3 - 59 + 0*o + 0*o**2 + 2/5*o**4. Factor z(r).
-2*r**2*(r - 3)*(r - 1)/5
Let -23*l**2 + 42*l**2 - 86*l - 14*l**2 - 34*l + 400 = 0. What is l?
4, 20
Let z(p) be the first derivative of -p**7/945 + 17*p**6/540 - 8*p**5/135 + 2*p**2 - 11*p - 103. Let i(s) be the second derivative of z(s). Factor i(x).
-2*x**2*(x - 16)*(x - 1)/9
Let q = 384 - 381. Let b(w) be the first derivative of 0*w - 13 - 4/7*w**2 - 2/21*w**q. Suppose b(h) = 0. Calculate h.
-4, 0
Let h = -107 + -119. Let b = -226 - h. Factor 0 + 2*q**3 - 4/3*q**4 + b*q**2 + 0*q - 2/3*q**5.
-2*q**3*(q - 1)*(q + 3)/3
Let y(h) be the third derivative of h**7/315 + h**6/18 - 2*h**5/5 + 19*h**4/18 - 13*h**3/9 - 81*h**2 - 8*h. Find o such that y(o) = 0.
-13, 1
Let s = 189 - 178. Suppose 0 = 43*g - s*g - 128. Suppose 3/7*m**3 + 0 - 3/7*m**g - 3/7*m + 3/7*m**2 = 0. What is m?
-1, 0, 1
Suppose -4*l = -2*l - 50. Let c(q) = -q**3 + 2*q**2 + 2*q + 5. Let p be c(3). Find o, given that 2*o**4 - 24*o**3 - 6*o**4 - 16 - 27*o**p - l*o**2 - 48*o = 0.
-2, -1
Let d(s) = 21*s**2 - 1039*s - 630. Let q(b) = -20*b**2 + 1040*b + 630. Let c(x) = 5*d(x) + 4*q(x). Factor c(o).
5*(o - 42)*(5*o + 3)
Let n = 15 + -11. Let x be (140/350)/((-6)/(-9)). Factor 0 - 12/5*f - 3/5*f**n + x*f**3 + 12/5*f**2.
-3*f*(f - 2)*(f - 1)*(f + 2)/5
Let k = 1483558/95105 + 16/19021. Let -k*o + 38/5 + 42/5*o**2 - 2/5*o**3 = 0. Calculate o.
1, 19
Let o(m) be the first derivative of -2/9*m**3 - 2/3*m**2 - 44 + 1/12*m**4 + 1/30*m**5 + 0*m. Factor o(t).
t*(t - 2)*(t + 2)**2/6
Let l(b) be the second derivative of -b**4/4 + 33*b**3/2 - 93*b**2 + 601*b. Let l(i) = 0. What is i?
2, 31
Let m(l) be the second derivative of l**6/255 + 76*l**5/85 - l**4/34 - 454*l**3/51 + 304*l**2/17 - 2471*l. Find w, given that m(w) = 0.
-152, -2, 1
Let a(z) be the first derivative of -12*z - 9 + 1/3*z**4 - 1/10*z**5 - 2*z**2 + 1/3*z**3. Let k(t) be the first derivative of a(t). Solve k(u) = 0 for u.
-1, 1, 2
Let n = 1521145 + -1521141. Let g = 0 - -3. Solve 0 - x**2 - 1/4*x**g + 1/4*x + x**n = 0.
-1, 0, 1/4, 1
Let t(f) be the first derivative of 33*f**4/4 - 18*f**3 - 45*f**2/2 + 42*f + 4964. Determine o so that t(o) = 0.
-1, 7/11, 2
Let p(j) be the second derivative of j**7/630 + j**6/90 + j**5/180 - j**4/12 - 165*j**2/2 + 171*j. Let k(r) be the first derivative of p(r). Factor k(h).
h*(h - 1)*(h + 2)*(h + 3)/3
Let u(a) = -10*a**3 + 60*a**2 + 13*a - 96. Let v(n) = -3*n**3 + 15*n**2 + 3*n - 24. Let x(i) = -3*u(i) + 11*v(i). Factor x(b).
-3*(b - 1)*(b + 2)*(b + 4)
Factor -135 - 585*h**2 - 25578*h**3 - 675*h - 25636*h**3 + 51029*h**3 - 20*h**4.
-5*(h + 3)**3*(4*h + 1)
Let w = 525 - 517. Let b be ((-2)/w - 30/8)*-1. Factor 1/5*a + 1/10*a**b - 1/5*a**3 + 0 - 1/10*a**2.
a*(a - 2)*(a - 1)*(a + 1)/10
Let j(c) be the third derivative of 16/3*c**4 - 44 - 2/105*c**7 + 2*c**2 + 4/15*c**6 + 0*c - 32/3*c**3 - 8/5*c**5. Let j(i) = 0. What is i?
2
Let r(t) be the third derivative of -t**9/1512 - t**8/672 - t**7/1008 - 5*t**5/6 + 3*t**2 + 43*t. Let u(n) be the third derivative of r(n). Solve u(w) = 0.
-1/2, -1/4, 0
Let w(t) = 8*t**2 + 36*t + 32. Suppose 4*o - 41 = -5. Let d(n) = -17*n**2 - 71*n - 63. Let i(s) = o*w(s) + 4*d(s). Let i(g) = 0. Calculate g.
-9, -1
Let c(h) be the second derivative of -16*h - 11/6*h**3 + 1/12*h**4 + 5*h**2 + 3. Find p, given that c(p) = 0.
1, 10
Suppose -95*k - 7092 = -113*k. Suppose -385*s - 18 = -k*s. Let -b + 0 - 1/8*b**s = 0. What is b?
-8, 0
Let m = -451/8 + 113/2. Let u(x) be the first derivative of 0*x**3 + 0*x + 0*x**2 - m*x**6 - 8 - 3/20*x**5 + 3/8*x**4. Factor u(l).
-3*l**3*(l - 1)*(l + 2)/4
Let g(v) be the second derivative of -2*v + 2/13*v**2 + 1/39*v**3 - 1/78*v**4 - 3. Find f such that g(f) = 0.
-1, 2
Let k(z) = 2*z**2 + 47*z + 3. Let w be k(0). Let u(l) be the third derivative of 0*l - 1/30*l**5 + 0 - 1/6*l**4 - 11*l**2 - 1/3*l**w. What is o in u(o) = 0?
-1
Suppose -5*o + 10*o = 20. Factor 35*x**2 - 784*x + 6*x**2 + 69*x**2 + 2*x**2 - o*x**3.
-4*x*(x - 14)**2
Factor 5/9*c**2 + 4*c + 0 - 1/9*c**3.
-c*(c - 9)*(c + 4)/9
Let n = -172 + 181. Solve -5*m**3 + 14*m**5 - 18*m**4 + 18*m**2 - n*m - 8*m + 13*m - 5*m**3 = 0.
-1, 0, 2/7, 1
Suppose -36*m = -40*m, 0 = 3*h + m + 2*m - 8*m - 9. Factor -9/2*o**h + 0 + 6*o**2 + 3/2*o**5 + 6*o - 3*o**4.
3*o*(o - 2)**2*(o + 1)**2/2
Suppose -3*k + 11*w = 16*w + 398, -2*k - 260 = 2*w. Let l be k/72*(-2 - 36/(-21)). Suppose -1/2*z**2 + l*z + 0 = 0. Calculate z.
0, 1
Suppose -7/3*y**3 + 0 + 1/3*y**4 - 3*y - 17/3*y**2 = 0. What is y?
-1, 0, 9
Let d(s) = -s**3 - 2*s**2 + s - 1. Let a(l) = 3*l**3 - 123*l**2 + 3966*l + 4098. Let z(m) = -a(m) - 2*d(m). Factor z(w).
-(w - 64)**2*(w + 1)
Let p(j) be the first derivative of -13/3*j**2 - 350 - 2/9*j**3 + 136/3*j. Factor p(v).
-2*(v - 4)*(v + 17)/3
Let c(g) = 6*g**3 - 63*g**2 + 21*g + 90. Let z = 67 - 63. Let w(o) = 23 + 9*o**2 - 3*o - o**3 + 5 - 41. Let u(k) = z*c(k) + 27*w(k). Factor u(b).
-3*(b - 1)*(b + 1)*(b + 3)
Let s = 8 + -4. Suppose -81*p = -170*p + 2225. Let 25*l**3 - 20 + 5*l**s - p*l + l**2 + 9*l**2 + 5*l**2 = 0. Calculate l.
-4, -1, 1
Let g(v) be the first derivative of v**9/6048 - v**8/1680 + v**7/1680 - 2*v**3/3 - 17*v**2/2 + 224. Let c(m) be the third derivative of g(m). Factor c(a).
a**3*(a - 1)**2/2
Let d(w) be the second derivative of 605*w**6/16 - 5973*w**5/8 + 34521*w**4/8 - 2896*w**3 + 768*w**2 - 27*w - 3. Solve d(s) = 0.
2/11, 32/5
Suppose -190 = 45*i - 325. Let h(d) = -d**3 - d**2 - d + 2. Let j be h(0). Solve 0 + 1/2*m**i - 1/2*m**j - 1/2*m + 1/2*m**4 = 0.
-1, 0, 1
Factor -43/3*g - 102 - 1/3*g**2.
-(g + 9)*(g + 34)/3
Suppose -2*b = -3 - 7. Determine w so that -b*w**5 + w**4 - 11*w**4 + 5*w - 2389*w**2 + 2399*w**2 = 0.
-1, 0, 1
Let m = 175 - 171. Find y such that 372*y + 1743 - 3413 + 21*y**m + 474*y**2 + 1742 + 195*y**3 = 0.
-6, -2, -1, -2/7
Suppose 0 = d - 5*t + 1037, 0 = -4*d + 15*t - 13*t - 4112. Let c = d + 1029. Suppose 0*u + 0 + 4/7*u**3 - 2/7*u**4 - 2/7*u**c = 0. Calculate u.
0, 1
Let l(x) be the third derivative of -1/140*x**6 - x**2 + 49*x + 1/28*x**4 - 1/7*x**3 + 0 + 1/70*x**5. Factor l(p).
-6*(p - 1)**2*(p + 1)/7
Suppose 0 = 349*g - 351*g - 5*b - 11, -4*g + 5*b = -23. What is s in 10/3*s**g + 1/3*s**3 + 8 + 28/3*s = 0?
-6, -2
Suppose -6757*d = -6759*d. Let q(j) be the second derivative of -1/48*j**4 + d + 1/4*j**2 - 14*j + 1/24*j**3. Factor q(n).
-(n - 2)*(n + 1)/4
Let w(c) be the first derivative of -5*c**6/6 - 124*c**5 - 9295*c**4/2 + 13020*c**3 - 19845*c**2/2 + 4414. Factor w(f).
-5*f*(f - 1)**2*(f + 63)**2
Let i be 11*(-6)/165*15/((-7)/((-49)/(-14))). Factor 63 - 72*d + 30*d**2 + 1/3*d**4 - 16/3*d**i.
(d - 7)*(d - 3)**3/3
Let p(g) = -4*g + 29. Let y be p(12). Let z = 21 + y. Factor 45*i**2 - 2*i - 47*i**z + 10*i.
-2*i*(i - 4)
Let a(p) = -p**3 + 19*p**2 + 35*p + 15. Let r(b) = -4*b**3 + 96*b**2 + 176*b + 76. Let x(n) = -28*a(n) + 6*r(n). Solve x(z) = 0 for z.
-9, -1
Let g be (-24 - -22)*(13/(-2) + -2). Suppose -g*t + 24 = -5*t. Factor 0 + 1/6*v**5 + 3/2*v**t + 0*v + 7/6*v**4 + 5/2*v**3.
v**2*(v + 1)*(v + 3)**2/6
Let m(j) be the first derivative of 72 + 2/5*j**3 + 73/5*j**2 + 48/5*j. Determine f, given that m(f) = 0.
-24, -1/3
Suppose -130*u + 596*u**5 + 96*u**2 + 46*u - 24*u**4 - 593*u**5 + 9*u**3 = 0. Calculate u.
-2, 0, 1, 2, 7
Let n(a) be the first derivative of 5*a**4/4 + 1340*a**3/3 - 8310*a**2 + 50400*a + 2446. Solve n(f) = 0.
-280, 6
Let o(j) be the first derivative of 2*j**3/33 + 97*j**2/11 - 1020*j/11 + 8459. Factor o(h).
2*(h - 5)*(h + 102)/11
Let n = 2031/19880 - 7/71. Let v(m) be the third derivative of n*m**6 + 0*