(u + 7)/11
Let m(f) be the first derivative of 0*f + 7/132*f**4 + 1/11*f**3 + 1/660*f**6 + 3*f**2 - 20 + 1/66*f**5. Let y(h) be the second derivative of m(h). Factor y(d).
2*(d + 1)**2*(d + 3)/11
Suppose -51*t + 920 = -5*t. Factor 2*w**5 + 0*w + 9*w - t*w**3 - 9*w + 2*w**4 + 16*w**2.
2*w**2*(w - 2)*(w - 1)*(w + 4)
Let i(c) be the second derivative of -c**4/8 - 335*c**3/4 - 501*c**2/2 + 6*c + 115. Factor i(s).
-3*(s + 1)*(s + 334)/2
Let j(p) = 4*p**4 - 21*p**3 - 73*p**2 - 24*p + 132. Let x(n) = 10*n**4 - 64*n**3 - 220*n**2 - 72*n + 394. Let a(l) = 8*j(l) - 3*x(l). Let a(o) = 0. Calculate o.
-7, -3, 1
Let t = 180 - 180. Suppose 9*j + t*j = 18. Factor -2/7*p**j + 2/7 + 2/7*p - 2/7*p**3.
-2*(p - 1)*(p + 1)**2/7
Let d(n) = -1184*n**3 - 2444*n**2 - 104*n - 24. Let u(v) = -338*v**3 - 698*v**2 - 30*v - 7. Let c(m) = 7*d(m) - 24*u(m). Solve c(r) = 0 for r.
-2, -1/44, 0
Let u be 12 - (63/4 + -6) - (-3)/(-12). What is o in 3/2*o**5 + 15/2*o - 15*o**u + 15*o**3 - 3/2 - 15/2*o**4 = 0?
1
Factor -126/13*y**2 + 0 - 20/13*y + 2*y**3.
2*y*(y - 5)*(13*y + 2)/13
Let u be (-1346)/(-18) + (-192)/(-864). Suppose -330 = -u*r - 30. Let 8/3*o + 0 + r*o**4 + 2/3*o**5 + 8*o**2 + 26/3*o**3 = 0. What is o?
-2, -1, 0
Let d(z) be the third derivative of -z**6/480 - 47*z**5/30 + 755*z**4/96 - 63*z**3/4 - 678*z**2. Suppose d(g) = 0. What is g?
-378, 1
Let o be (-224)/42*(92 + -99). Factor o*d - 1568/3 - 2/3*d**2.
-2*(d - 28)**2/3
Let c = -55988 - -55990. Let 0 - 2/5*u**3 - 6/5*u - 8/5*u**c = 0. What is u?
-3, -1, 0
Factor -2887*j**2 - j**4 - 1247*j**2 - 5565*j**2 + 137677*j + 1815848 + 175*j**3.
-(j - 61)**3*(j + 8)
Factor -90/13*t**2 + 336/13*t + 17248/13 + 2/13*t**3.
2*(t - 28)**2*(t + 11)/13
Let n be 12 + -1 + -4 - (5250/(-40))/(-21). Suppose -7*u + 21 = -0*u. Factor -21/4*s**4 - 3 - n*s**5 - 57/4*s**u - 75/4*s**2 - 12*s.
-3*(s + 1)**3*(s + 2)**2/4
Suppose 2*c = -9 - 3. Let n(d) = 10 + 5*d - 4 - 7 - 4. Let h(w) = w**3 + w**2 + 4*w - 6. Let i(p) = c*n(p) + 5*h(p). Factor i(b).
5*b*(b - 1)*(b + 2)
Let c(b) be the first derivative of -4*b**3/3 + 18*b**2 + 208*b + 3868. Factor c(u).
-4*(u - 13)*(u + 4)
Let p = 74 - 98. Let c = 2 - p. Determine s, given that 0 + 20*s**3 + 89*s**2 - 50*s + c*s**2 - 45 + 200*s = 0.
-3, 1/4
Suppose 0 = -566*f + 504*f + 124. Factor 245/4*n**f + 0 - 5*n**3 - 15*n.
-5*n*(n - 12)*(4*n - 1)/4
Suppose 7*z - 30 = 19. Solve 137*d**2 - 58*d**2 - z - 27*d + 11*d**4 - d**4 - 53*d**3 - 2 = 0 for d.
-1/5, 1, 3/2, 3
Find a such that -40*a**3 - 105*a - 305*a + 18*a**4 + 26*a**4 - 40 + a**4 - 455*a**2 = 0.
-2, -1, -1/9, 4
Let y(q) be the first derivative of 86 + 6*q + 77/10*q**2 + 1/3*q**3. Let y(d) = 0. Calculate d.
-15, -2/5
Let 10/9*i - 2/9*i**3 - 2/9*i**4 + 4/9 + 2/3*i**2 = 0. Calculate i.
-1, 2
Suppose 3*s + 3*c - 18 + 9 = 0, -5*s - 3*c + 15 = 0. Solve -19*t + 182 + 28*t**3 - 88*t**s + 207*t - 62 - 4*t**4 + 12*t**2 = 0.
-15, -1, 2
Let z(f) be the third derivative of -f**5/450 + 485*f**4/18 - 1176125*f**3/9 + 2636*f**2 - 1. Factor z(h).
-2*(h - 2425)**2/15
Let a(n) = -6*n**3 + 8*n**2 - 27*n. Suppose -262 = 2*c - 248. Let f(q) = -8*q**3 + 12*q**2 - 41*q. Let z(j) = c*a(j) + 5*f(j). Solve z(v) = 0 for v.
-4, 0, 2
Let o(s) be the third derivative of 7*s**5/90 - 116*s**4/9 + 44*s**3/3 - 2684*s**2. Suppose o(i) = 0. What is i?
2/7, 66
Let n(b) be the third derivative of b**7/630 - b**6/90 - b**5/10 - 51*b**4/8 - 32*b**2 + 2. Let v(u) be the second derivative of n(u). Factor v(o).
4*(o - 3)*(o + 1)
Suppose 12*a - 10*a + 698 = 2*d, d - 4*a - 352 = 0. Let p = d + -345. Solve 3/2*f - 3/2 - 3/2*f**4 - p*f**3 + 3*f**2 + 3/2*f**5 = 0.
-1, 1
Let t(s) = s**3 - 2*s**2 + 2*s + 1. Let y be t(2). Suppose 5*q = y*g - 20, 2*q - 6*q = -2*g + 6. Factor 16 - 5*o**2 + 15 + 18 - 39 - g*o.
-5*(o - 1)*(o + 2)
Factor 6*t**4 - 9*t**5 + 0*t**5 + 4*t**3 + 7*t**4 + 44*t**3 + 8*t**5.
-t**3*(t - 16)*(t + 3)
Let p(n) be the first derivative of n**3/12 - 409*n**2/16 + 51*n/2 + 204. Factor p(q).
(q - 204)*(2*q - 1)/8
Let q(f) be the second derivative of f**6/900 + 7*f**5/300 - 2*f**4/15 + 55*f**3/6 + 38*f. Let p(i) be the second derivative of q(i). Find h such that p(h) = 0.
-8, 1
Let i = 1551616/3 + -517205. Factor -154/3*v + 5929/3 + i*v**2.
(v - 77)**2/3
Let l = 1/18 + 1/9. Let b be ((-6)/(-11))/(3/(-5)*(-3630)/2662). Factor -l*t**2 - b*t + 0.
-t*(t + 4)/6
Let w(r) be the second derivative of 82*r - 126*r**3 + 3/5*r**5 - 11/2*r**4 - 1/90*r**6 - 1323/2*r**2 + 0. Suppose w(o) = 0. What is o?
-3, 21
Suppose -66*g = -62*g - 68. Factor -t**2 - 42*t + 42*t - g*t.
-t*(t + 17)
Let j(u) be the second derivative of -u**4/6 + 58*u**3 - 344*u**2 - 33*u - 6. Suppose j(o) = 0. Calculate o.
2, 172
Let h(a) be the third derivative of -a**8/1680 - a**7/210 + 3*a**6/200 + 13*a**5/300 - 7*a**4/30 + 2*a**3/5 - 2339*a**2 - 1. Find v, given that h(v) = 0.
-6, -2, 1
Let u(r) = -2*r**4 + 20*r**3 - 13*r**2. Suppose -160*q + 158*q = -12. Let y(i) = -3*i**4 + 21*i**3 - 12*i**2. Let v(j) = q*u(j) - 5*y(j). Factor v(f).
3*f**2*(f - 1)*(f + 6)
Suppose -4*k - 1239 = -5*o, 0 = 5*o + 4*k - 9*k - 1235. Find l, given that 8*l**2 - 6*l**3 - o - 2*l**3 + 243 + 8*l - 2*l**2 + 2*l**4 = 0.
-1, 1, 2
Let g(f) be the first derivative of -f**5/20 + 51*f**4/8 + 26*f**3 + 157*f**2/4 + 105*f/4 + 71. Let g(w) = 0. Calculate w.
-1, 105
Let r(i) be the third derivative of -i**5/15 + 39*i**4/2 + 240*i**3 - 2*i**2 - 765. Factor r(l).
-4*(l - 120)*(l + 3)
Suppose 0 = -5*n + 4*k + 30, k - 2*k - 5 = 0. Suppose -3888*f + 6392 - 21330 - 8390 - 3*f**3 - f**3 - 216*f**n = 0. Calculate f.
-18
Suppose 0 = 9*z - 13*z - 20*z + 288. Let f(r) be the second derivative of -1/57*r**3 + 0 + 1/114*r**4 + z*r + 0*r**2. Factor f(m).
2*m*(m - 1)/19
Let q be 8541/27 - (-1)/(-3). Let v be (-3)/(-24) + q/32. Let -b**2 - v*b - 1 + 10*b + 2*b**2 = 0. What is b?
-1, 1
Factor 4986289/10 + 2233/5*a + 1/10*a**2.
(a + 2233)**2/10
Let x(d) be the second derivative of -d**7/280 + d**6/8 - 6*d**5/5 + 11*d**4/2 + 11*d**3/2 - 8*d. Let i(k) be the second derivative of x(k). Factor i(b).
-3*(b - 11)*(b - 2)**2
Let o = 27647 - 193520/7. Solve 9/7*u**3 + 3/7*u**4 + o*u**2 + 3/7*u + 0 = 0.
-1, 0
Let l(q) be the third derivative of -q**5/180 + 271*q**4/36 - 541*q**3/18 - 6200*q**2. Suppose l(h) = 0. Calculate h.
1, 541
Let l be (3 + -13 + 9)*0. Let o(b) be the second derivative of l + 11*b + 5/12*b**3 + 1/24*b**4 + b**2. Determine i, given that o(i) = 0.
-4, -1
Let f(q) be the third derivative of -1/300*q**5 - 54/5*q**3 + 0*q + 0 + 40*q**2 + 3/10*q**4. Factor f(x).
-(x - 18)**2/5
Suppose 4*i + 3810 = -7*x + 2*x, 4*x - i = -3048. Let l = 764 + x. Factor 0*k**4 - 4/9*k**3 + 1/9*k**5 + 1/3*k - 2/9*k**l + 2/9.
(k - 2)*(k - 1)*(k + 1)**3/9
What is i in -7/2*i + 1/2*i**3 - 30 + 3*i**2 = 0?
-5, -4, 3
Suppose 69*t = 82*t - 5733. Factor 410*b + 267 + 424*b**2 - 35*b + 80*b**3 + 4*b**4 + t*b - 80 + 281.
4*(b + 1)*(b + 3)**2*(b + 13)
Let l be 6/33 - (2 - 6869/33). Let s = l + -1841/9. Let -10/9*w**5 - 100/9*w**3 + 0 + 8*w**2 + 6*w**4 - s*w = 0. What is w?
0, 2/5, 1, 2
Suppose 0 = -4*m - 5*x - 1872, 0 = m + 3*x + 408 + 53. Let q = 477 + m. Determine t, given that 2/5*t**5 + 4/5*t**2 + 4/5*t**3 - 6/5*t**q - 6/5*t + 2/5 = 0.
-1, 1
Let z = 272 - 252. Factor -24*l + 14 - l**3 - z + 14 + 22*l**2 - 5*l**3.
-2*(l - 2)*(l - 1)*(3*l - 2)
Let j(u) = -15*u**4 + 6*u**3 - 15*u**2 - 84*u - 36. Let y(q) = 3*q**4 - q**2 + 4*q. Let n(g) = -j(g) - 6*y(g). Factor n(m).
-3*(m - 3)*(m + 1)*(m + 2)**2
Let a(c) = 22*c**2 - 50*c + 80. Let w(q) = -8*q**2 + 17*q - 27. Let i(x) = x + 2. Let k be i(-5). Let o(f) = k*a(f) - 8*w(f). Factor o(u).
-2*(u - 4)*(u - 3)
Let m(w) be the second derivative of -w**5/180 - 17*w**4/54 + 4*w**3/3 - 9*w + 23. Suppose m(s) = 0. What is s?
-36, 0, 2
Let f(m) be the third derivative of -m**7/560 - m**6/240 + m**5/4 + 154*m**3/3 - 81*m**2. Let x(z) be the first derivative of f(z). Factor x(j).
-3*j*(j - 4)*(j + 5)/2
Let g = -340780/3 - -113595. Factor 1/2*o - 1/6*o**2 + g.
-(o - 5)*(o + 2)/6
Let h be (133/(69426/(-232)))/((-2)/(144/7)). Solve 96/7*n**2 - 10/7*n**4 - h - 40/7*n - 2*n**3 = 0.
-4, -2/5, 1, 2
Let c(k) be the third derivative of k**6/480 + 101*k**5/240 + 2*k**2 + 2*k + 11. Let c(n) = 0. What is n?
-101, 0
Let u(j) = 95*j**3 - 370*j**2 - 785*j - 480. Let v(b) = 14*b**3 - 53*b**2