2/5*f**4 - 1016/5*f**2 = 0.
1/3, 3/4, 1, 40
Factor 0 + 226/7*i**4 + 186*i**3 + 1926/7*i**2 + 0*i + 2/7*i**5.
2*i**2*(i + 3)**2*(i + 107)/7
Let j = -108 + 110. Let d(m) be the first derivative of 0*m - 1/3*m**3 + 3/2*m**j - 18. Suppose d(p) = 0. What is p?
0, 3
Let o = -395808 + 395808. Solve 16/5 - 4*r**2 + 4/5*r**4 + 0*r**3 + o*r = 0.
-2, -1, 1, 2
Suppose 48*x - 227 + 3747 = 268*x. Let k(g) be the first derivative of -x + 25*g**2 + 5/3*g**3 + 125*g. Factor k(m).
5*(m + 5)**2
Suppose 0 = 85*t - 104*t + 114. Let o(k) be the second derivative of -1/40*k**5 + 9*k + 1/12*k**3 - 1/2*k**2 + 1/8*k**4 - 1/60*k**t + 0. Factor o(p).
-(p - 1)**2*(p + 1)*(p + 2)/2
Let h(r) be the third derivative of -1/4*r**6 - 1/6*r**5 + 35/24*r**4 - 5/2*r**3 + 48*r**2 + 0*r - 5/336*r**8 + 0 + 5/42*r**7. Suppose h(u) = 0. Calculate u.
-1, 1, 3
Let t be 4/(-40)*(-176)/(-22) - (-28)/5. Factor 16/5*y**2 + 0 - t*y - 2/5*y**3.
-2*y*(y - 6)*(y - 2)/5
Let o(p) be the second derivative of -1/9*p**4 - 1/120*p**5 - 73*p + 0 + 1/4*p**3 + 0*p**2. Factor o(f).
-f*(f - 1)*(f + 9)/6
Let h(x) be the first derivative of -x**4/30 + 4*x**3/45 + x**2/5 + 286. Factor h(u).
-2*u*(u - 3)*(u + 1)/15
Let b(h) be the first derivative of h**4/22 - 190*h**3/33 - 1025*h**2/11 - 5250*h/11 + 1708. Determine n so that b(n) = 0.
-5, 105
Let j(p) be the second derivative of p**8/1680 + p**7/63 - 23*p**6/180 + 2*p**5/5 - 17*p**4/6 - 12*p - 3. Let r(n) be the third derivative of j(n). Factor r(k).
4*(k - 1)**2*(k + 12)
Let r(a) be the third derivative of -1/210*a**7 - a**2 + 1/12*a**6 - 2/5*a**5 + 0*a - 5/12*a**4 + 25/6*a**3 + 178. Factor r(c).
-(c - 5)**2*(c - 1)*(c + 1)
Let k(t) be the first derivative of -t**6/24 + 11*t**5/10 - 105*t**4/16 + 37*t**3/3 - 8*t**2 - 3546. Find v, given that k(v) = 0.
0, 1, 4, 16
Let n(j) be the third derivative of -j**5/300 - 1287*j**4/40 + j**2 - 4083. Factor n(d).
-d*(d + 3861)/5
Let w(l) be the third derivative of l**7/70 + 13*l**6/90 + 11*l**5/60 - 5*l**4/36 - 6*l**2 - 21*l. Suppose w(j) = 0. What is j?
-5, -1, 0, 2/9
Let u = 480 + -426. Factor 12*q - 1 - 3*q**2 + 51 + 54*q - u + 73.
-3*(q - 23)*(q + 1)
Suppose -8*m + 872 = -9*m + 4*d, 2*m + 2*d = -1754. Let c = m + 878. Factor -3/5*n - 2/5 - 1/5*n**c.
-(n + 1)*(n + 2)/5
Let u = -1865 + 1865. Let x(w) be the third derivative of 5/48*w**4 + u*w**3 - 1/120*w**5 + 11*w**2 + 0*w + 0. Factor x(c).
-c*(c - 5)/2
Factor 144*o**3 + 6240 + 2178*o - 193*o + 211*o**3 + 5*o**4 + 1215*o - 2690*o**2.
5*(o - 4)**2*(o + 1)*(o + 78)
Factor 1/3*q**2 + 16 - 16/3*q.
(q - 12)*(q - 4)/3
Let c(r) be the second derivative of 2*r**7/147 + r**6/5 + 4*r**5/5 + 17*r**4/14 + 2*r**3/3 + 4282*r. Let c(h) = 0. What is h?
-7, -2, -1, -1/2, 0
Let k(r) be the third derivative of -r**7/210 + 11*r**6/120 + 19*r**5/20 + 15*r**4/8 + r**2 - 5*r + 42. Determine c, given that k(c) = 0.
-3, -1, 0, 15
Let k(c) = -c**4 + 2*c**3 - c**2 - c - 1. Let l(i) = -9*i**4 + 11*i**2 + 7*i - 23. Let q(s) = -7*k(s) + l(s). Factor q(b).
-2*(b - 1)**2*(b + 1)*(b + 8)
Let m = 42181 - 42179. Suppose 1 + 1/4*w**3 + 3/2*w**m + 9/4*w = 0. What is w?
-4, -1
Let b(i) be the first derivative of 35*i**3/3 - 290*i**2 + 2300*i + 5153. Factor b(c).
5*(c - 10)*(7*c - 46)
Suppose -26*s**3 - 81795*s + 87202 - 4833 - 709*s**2 + 10*s**3 + 15*s**3 + 136*s**2 = 0. What is s?
-287, 1
Suppose -5*m - 5*m = -90. Let n(h) = -3*h**3 + h**2 + 10*h + 2. Let v(s) = -11*s**3 + 2*s**2 + 40*s + 9. Let q(b) = m*n(b) - 2*v(b). Factor q(j).
-5*j*(j - 2)*(j + 1)
Let s(g) be the second derivative of -g**6/30 - 3*g**5/20 + 3*g**4/2 - 2*g**3/3 - 12*g**2 - 1610*g. Factor s(o).
-(o - 2)**2*(o + 1)*(o + 6)
Let v(f) be the third derivative of -f**8/1344 + f**7/70 + f**6/15 - 43*f**5/40 + 113*f**4/96 + 65*f**3/4 - 146*f**2 - 40. Solve v(s) = 0 for s.
-5, -1, 2, 3, 13
Let z = -217641 + 217641. Solve 0 - 1/8*n**3 - 1/8*n**2 + z*n = 0.
-1, 0
Let j = 73872 + -73867. Solve 33/5*r**3 + 19/5*r**4 + 3/5*r**j + 4/5*r + 0 + 21/5*r**2 = 0.
-4, -1, -1/3, 0
Let n(v) be the first derivative of v**6/6 + 81*v**5/20 - 4*v**4 - 7*v**3/4 + 5392. Let n(i) = 0. What is i?
-21, -1/4, 0, 1
Solve 0 + 4*w + 2/3*w**4 - 1/3*w**5 + 28/3*w**2 + 19/3*w**3 = 0.
-2, -1, 0, 6
Let n(w) = w**2 - 4*w - 1. Let h(y) = 5*y**2 + 736*y - 1502. Let q(d) = -h(d) + 2*n(d). Factor q(o).
-3*(o - 2)*(o + 250)
Let n(v) = -132*v**2 + 174*v + 372. Let f(z) = -73*z**2 + 87*z + 186. Let o(b) = 9*f(b) - 5*n(b). Suppose o(c) = 0. Calculate c.
-2, 31
Suppose -288/11*f - 2/11*f**2 + 0 = 0. Calculate f.
-144, 0
Let v(b) be the second derivative of b**4/12 - 124*b**3/3 + 7688*b**2 - 337*b - 3. Factor v(c).
(c - 124)**2
Let c(s) be the third derivative of -s**5/60 + 5*s**4/12 - 4*s**3 + 917*s**2. Factor c(f).
-(f - 6)*(f - 4)
Suppose 0 = -4*t + 33*n - 35*n + 52, t - 2*n - 23 = 0. Suppose -29*f + 72 = -t. Factor -5/3*s**f - 8/3*s**2 + 0 - 4/3*s - 1/3*s**4.
-s*(s + 1)*(s + 2)**2/3
Let j(x) = -2*x**4 + 2*x**3 + 58*x**2 - 178*x + 48. Let i(h) = 2*h**4 - 3*h**3 - 57*h**2 + 187*h - 48. Let n(m) = 8*i(m) + 9*j(m). Solve n(o) = 0 for o.
-8, 1, 3
Let l(j) = -3*j + 24. Let b(u) = 1. Let a(y) = 18*b(y) - l(y). Let d be a(3). Let -3*o**5 - 1104*o + 1104*o + 3*o**d = 0. What is o?
-1, 0, 1
Find o, given that -70*o**3 + 143*o**3 - 72*o**3 - 136*o - 81*o - 49*o - 265*o**2 = 0.
-1, 0, 266
Suppose -4*t + 6*t + 3*t = 0. Find p such that -78*p**2 + 76*p**2 + 6*p + 8*p + t*p - 12 = 0.
1, 6
Let l(z) = 31*z - 2615. Let t be l(85). Let a(x) be the first derivative of -5*x**3 + 5/4*x**4 + 16 + t*x + 0*x**2. Find y, given that a(y) = 0.
-1, 2
Solve 189/8*w - 31/8*w**3 - 7/2*w**2 - 9/4 = 0.
-3, 3/31, 2
Factor -6*v**2 + 14*v**2 + 14*v**2 - 33 - 3 + 14*v.
2*(v - 1)*(11*v + 18)
Let h(a) be the third derivative of a**5/15 + a**4/6 - 60*a**3 - 4542*a**2. Determine l so that h(l) = 0.
-10, 9
Let c(n) be the first derivative of 2*n**3/11 - 56*n**2/11 - 38*n/11 - 4712. Let c(f) = 0. Calculate f.
-1/3, 19
Let v(l) be the second derivative of -3*l**5/70 - 12*l**4/7 + 141*l**3/7 - 348*l**2/7 - 1768*l. Factor v(q).
-6*(q - 4)*(q - 1)*(q + 29)/7
Suppose 1811 + 2900 = 7*f. Let o = 675 - f. Factor -1/4*c**4 + 3/4*c**3 - 1/4*c**5 + 5/4*c**o + 1/2*c + 0.
-c*(c - 2)*(c + 1)**3/4
Let g(h) = 164*h - 19841. Let u be g(121). Solve -4/9*s**2 + 16/9*s - 2/9*s**u + 0 = 0 for s.
-4, 0, 2
Let o(a) be the second derivative of a**5/45 - 4*a**4/9 - 8*a**3/3 + 224*a**2/9 - 41*a + 14. Determine n so that o(n) = 0.
-4, 2, 14
Let w(c) be the second derivative of 3/5*c**3 + 7/50*c**5 - 188*c + 1/2*c**4 + 0*c**2 + 1/75*c**6 + 0. Suppose w(z) = 0. Calculate z.
-3, -1, 0
Let i be 1535 - (-16)/18*(-96)/(-64). Let b = i + -1536. Let -b*v**2 - 2/3 - v = 0. Calculate v.
-2, -1
Let h be (-18)/2 + (-1 - 3668/(-98)). Let x(z) be the first derivative of 208/21*z**3 + 256/7*z - h*z**2 + 31 + 4/35*z**5 - 12/7*z**4. Factor x(f).
4*(f - 4)**2*(f - 2)**2/7
Let a(o) be the third derivative of -o**5/180 + 19*o**4/18 + 79*o**3/6 + 811*o**2. Factor a(j).
-(j - 79)*(j + 3)/3
Let x = -38 + 36. Let h be 2/(-9) - -6*x/(-54). Factor 3*s - 9*s**2 - 28*s + h*s + 21*s**2 + 7*s**3 + 6.
(s - 1)*(s + 3)*(7*s - 2)
Let z(g) = 3*g + 29. Let m be z(-9). Suppose -4*s = -4*a - s + 37, 0 = m*a + 2*s - 22. Factor -2*d + 27*d - 3 - 17 - 15*d**2 + a*d**2.
-5*(d - 4)*(d - 1)
Factor 3*s**2 + 56760*s - 56705*s - 2173 - 1187 + 2*s**2.
5*(s - 21)*(s + 32)
Let f(u) be the second derivative of -5/42*u**7 - 9/4*u**5 + 0*u**3 - 204*u + u**6 + 5/3*u**4 + 0*u**2 + 0. Suppose f(n) = 0. Calculate n.
0, 1, 4
Find n, given that -21/4*n**4 + 207/4*n**3 + 0*n + 15/2*n**2 + 0 = 0.
-1/7, 0, 10
Let h(a) be the first derivative of a**7/168 - a**6/36 - a**5/8 - 203*a**3/3 - 180. Let s(v) be the third derivative of h(v). Factor s(g).
5*g*(g - 3)*(g + 1)
Suppose 2*k + 3*r = -277, -5*r = 4*k + 526 + 25. Let t be 12*1*(15 - k/(-9)). Factor -t + 4/3*u**2 - 2/3*u**3 + 2/3*u.
-2*(u - 2)*(u - 1)*(u + 1)/3
Let c(a) = -5*a**4 - 91*a**3 - 666*a**2 - 1281*a + 2050. Let i(f) = f**4 - f**3 - 6*f**2 + f - 2. Let p(y) = c(y) + i(y). Suppose p(s) = 0. Calculate s.
-8, 1
Let t(l) be the first derivative of l**4/18 + 1970*l**3/27 + 81016*l**2/3 + 53792*l - 3051. Solve t(d) = 0 for d.
-492, -1
What is j in 9/4*j**2 + 142129/4 - 1131/2*j = 0?
377/3
Let g = -9040 - -189844/21. Let y(z) be the first derivative of g*z**