= -k**2 + 12*k + 13. Let m be n(13). Let w(t) be the first derivative of -1/10*t**4 + 4/15*t**3 - 1/5*t**2 - 1 + m*t. Factor w(f).
-2*f*(f - 1)**2/5
Let h(m) = m - 12. Let l be h(14). Let w be (l - -2) + (-2)/1. Determine n, given that 17*n**2 - 4*n - 17*n**2 + 22*n**w = 0.
0, 2/11
What is g in 1225/3*g + 1295/3*g**2 + 71/3*g**3 + 1/3*g**4 + 0 = 0?
-35, -1, 0
Let k = -29042 - -29046. Determine d so that -15/4*d**3 - 30 + 5/4*d**k - 15/2*d**2 + 35*d = 0.
-3, 2
Suppose 85*m = 107 + 63. Let -4*j - 3*j**m + 1/2*j**4 + 0*j**3 - 3/2 = 0. What is j?
-1, 3
Let p be (16/36)/((-4)/18*-6). Suppose -2*s = -3*s + 2. Determine u, given that 2/3*u + 1/3*u**s + p = 0.
-1
Let f(y) be the first derivative of -32 + 7/4*y**4 + 5/2*y**2 + 0*y + 11/3*y**3 + 1/5*y**5. Determine s, given that f(s) = 0.
-5, -1, 0
Suppose 7*a - 70 = 2*a. Let x be 4 + (4/(-2) - 0). Factor 26*p**4 + a*p**x + 14*p**3 + 8*p**5 + 2*p + 6*p**3 + 6*p**3 + 4*p**3.
2*p*(p + 1)**3*(4*p + 1)
Determine o, given that 4900 - 280*o - 11048*o**2 + 5526*o**2 + 5526*o**2 = 0.
35
Let w be (-5 - (-6 + -1)) + (-40)/28. Factor -w*h**2 + 2/7 + 2/7*h + 2/7*h**5 - 4/7*h**3 + 2/7*h**4.
2*(h - 1)**2*(h + 1)**3/7
Suppose -5*u + 65 = -4*q, -2*u + 5*q + 3 + 40 = 0. Suppose u = -46*d + 49*d. Determine k, given that k**2 - 4*k**2 - 5*k**2 + 6*k**3 - 2*k**d + 4*k**4 = 0.
-2, 0, 1
Let i = -39 - -43. Factor 3*d**2 + 1 - i*d - 5*d**2 + 5.
-2*(d - 1)*(d + 3)
Let y(i) = -i - 6. Let l be y(-7). Suppose -t = -l - 2. Let 3*f**4 - f**5 + f**3 - 4*f**t + f**3 = 0. What is f?
0, 1, 2
Suppose 0*h + 6/19*h**5 - 26/19*h**3 + 12/19*h**2 + 0 - 32/19*h**4 = 0. Calculate h.
-1, 0, 1/3, 6
Let m(w) be the third derivative of -4*w - 3*w**2 + 0*w**3 + 1/42*w**7 + 0*w**4 - 1/8*w**6 + 1/6*w**5 + 0. Solve m(i) = 0.
0, 1, 2
Let a(s) be the first derivative of 4*s**3/15 + 69*s**2/10 + 17*s/5 + 424. Factor a(l).
(l + 17)*(4*l + 1)/5
Factor 2*m**3 + 420*m - 62 - 66*m**2 + m**3 - 377 - 161.
3*(m - 10)**2*(m - 2)
Let b(g) = 9*g**2 + 253*g - 262. Let t(k) = 6*k**2 + 126*k - 132. Let d(n) = -3*b(n) + 5*t(n). Suppose d(m) = 0. Calculate m.
1, 42
Let k(b) be the second derivative of b**6/540 - b**5/90 + b**4/36 - 4*b**3/3 + 13*b. Let u(n) be the second derivative of k(n). Determine d so that u(d) = 0.
1
Let w(j) = 3*j**2 - 162*j + 600. Let l be w(50). Suppose 2/5*q**5 + 26/5*q**2 - 9/5*q**4 + l*q**3 + 6/5*q - 9/5 = 0. Calculate q.
-1, 1/2, 3
Let o be ((-2)/(-16)*2)/((-3647)/126 - -29). Solve 3/2*k - 3/2*k**3 - o*k**2 + 9/2 = 0 for k.
-3, -1, 1
Let y(b) be the third derivative of -11*b**8/84 + 8*b**7/21 - 7*b**6/30 - 2*b**5/15 + 108*b**2. Factor y(u).
-4*u**2*(u - 1)**2*(11*u + 2)
Let d(k) = -k**3 + k**2 - k - 1. Let m(w) = 3*w**5 + 2*w**4 - 9*w**3 + 8*w**2 - 8*w - 8. Let j(r) = 24*d(r) - 3*m(r). Factor j(b).
-3*b**3*(b + 1)*(3*b - 1)
Suppose 8*b - 76 - 52 = 0. Let x = b + -174/11. Factor 4/11*p - 2/11*p**2 - x.
-2*(p - 1)**2/11
Factor 0 + 57/4*s**2 - 27/8*s**3 - 3*s.
-3*s*(s - 4)*(9*s - 2)/8
Factor -49*z**3 - z**5 - 90*z**2 + 56*z**4 - 2 - 76*z - 22 - 68*z**4.
-(z + 1)**2*(z + 2)**2*(z + 6)
Let a(n) be the third derivative of -n**5/10 - 11*n**4/12 - 28*n**2. Let a(o) = 0. Calculate o.
-11/3, 0
Let h be (8 - 0) + (165/(-10) + 11 - 1). Determine j, given that 54 + 18*j + h*j**2 = 0.
-6
Let q be 214/85 + 1442/(-12257). Find l, given that -2/5*l**2 + 0 - 18/5*l**4 + 8/5*l**5 + q*l**3 + 0*l = 0.
0, 1/4, 1
Let w(q) be the first derivative of -q**7/560 - q**6/240 - 7*q**3/3 - 15. Let u(a) be the third derivative of w(a). Let u(t) = 0. What is t?
-1, 0
Factor 10*w**2 - 23*w**5 + 42*w**5 - 3*w**3 - 10*w**2 - 18*w**5 + 2*w**4.
w**3*(w - 1)*(w + 3)
Let i(u) = -5*u - 70. Let d be i(-14). Factor d + 2/13*l**2 + 2/13*l.
2*l*(l + 1)/13
Let w = -9/2720 - -4089/2720. Factor 0*h**2 + 1/2*h**3 + 1 - w*h.
(h - 1)**2*(h + 2)/2
Suppose 0 = n - 2*d + 11, 0*d - 22 = -3*n - 5*d. Let y be n - (3 + (-72)/14). Suppose 0*q + 2/7*q**4 + y*q**2 - 8/7*q**3 + 0 = 0. What is q?
0, 2
Solve -8/15 + 4/15*d**5 - 2/5*d - 6/5*d**4 + 26/15*d**2 + 2/15*d**3 = 0.
-1, -1/2, 1, 4
Let p(j) be the second derivative of j**5/220 + 41*j**4/66 + 1681*j**3/66 + 891*j. Factor p(y).
y*(y + 41)**2/11
Factor 10/11*u**2 - 12/11*u + 2/11.
2*(u - 1)*(5*u - 1)/11
Suppose 0 = -2*u, 5*u + 31 + 5 = -3*w. Let l be ((-7)/28)/(5/w). Factor 9/5*m + 3/5*m**3 - l - 9/5*m**2.
3*(m - 1)**3/5
Let g = -3626 + 7255/2. Factor -g*p**3 + 6 + 6*p - 3/2*p**2.
-3*(p - 2)*(p + 1)*(p + 2)/2
Let f = -1500 + 1503. Factor -16/9*y**f - 52/9*y**2 + 16/9 + 52/9*y.
-4*(y - 1)*(y + 4)*(4*y + 1)/9
Let z be 280/130 - (-6)/(-39). Factor 10*y - 14*y**4 + 16*y**z + 60*y**3 - 66*y**2 - 16*y**4 + 5*y + 5*y**5.
5*y*(y - 3)*(y - 1)**3
Let i = 236 - 229. Let v(p) be the third derivative of 6*p**2 + 1/1365*p**i + 0 + 0*p**3 + 0*p + 0*p**5 + 0*p**4 + 1/390*p**6. Determine x, given that v(x) = 0.
-2, 0
Factor -3/4*z**2 + 33/4*z - 15/2.
-3*(z - 10)*(z - 1)/4
Let w = 48 + -93. Let b be (-3)/(7/(42/w)). Determine o so that b*o + 4/5*o**4 - 4/5*o**2 - 2/5*o**5 + 0*o**3 + 0 = 0.
-1, 0, 1
Let 2*z**2 + 100 - 52 - 8*z - 42 = 0. Calculate z.
1, 3
Let o(m) be the second derivative of -m**5/150 + m**4/30 + 13*m**2/2 - 30*m. Let d(t) be the first derivative of o(t). Factor d(z).
-2*z*(z - 2)/5
Let q(f) = -f**4 - 5*f**2 + 3*f. Let t be (2/(-6))/(7/63). Let c(y) = 7*y - 25*y**4 - 3*y - 6*y**2 + 24*y**4 + y**3. Let r(h) = t*c(h) + 4*q(h). Factor r(o).
-o**2*(o + 1)*(o + 2)
Suppose -3*n - 7 + 64 = 0. Factor -8*o**2 - 4 + n - 5 - 4 - 22*o.
-2*(o + 3)*(4*o - 1)
Let o(y) be the third derivative of 1/108*y**4 + 0*y**3 + 1/135*y**5 + 0*y + 1/540*y**6 + 6*y**2 + 0. Let o(v) = 0. Calculate v.
-1, 0
Let x(l) be the first derivative of l**5/80 - l**4/48 - l**3/3 + 3*l**2/2 - 15*l - 10. Let p(i) be the first derivative of x(i). Factor p(b).
(b - 2)**2*(b + 3)/4
Let j = -10/191 + 2342/955. Let 0 - 2/5*t**3 + 0*t - j*t**2 + 4*t**4 - 6/5*t**5 = 0. What is t?
-2/3, 0, 1, 3
Let k(f) be the third derivative of f**5/150 - 3*f**4/5 - 76*f**3/15 + 497*f**2. Factor k(p).
2*(p - 38)*(p + 2)/5
Let v(k) be the third derivative of -k**6/60 - 19*k**5/15 - 73*k**4/12 - 12*k**3 + k**2 + 35. Let v(g) = 0. Calculate g.
-36, -1
Factor -90*y - 4 - y**2 - 87*y + 173*y.
-(y + 2)**2
Let 0*p**4 - 96 - 84 + 60*p - 60*p**3 + 175*p**2 + 5*p**4 = 0. What is p?
-1, 1, 6
Find h such that 6 - 14 - 4*h**2 + 51*h**2 + 30*h - 9*h**2 = 0.
-1, 4/19
Let f(n) be the first derivative of n**6/39 + 2*n**5/65 - 11*n**4/26 + 14*n**3/39 + 10*n**2/13 - 16*n/13 + 194. What is p in f(p) = 0?
-4, -1, 1, 2
Let g(i) be the second derivative of -i**6/55 - 333*i**5/110 - 1511*i**4/11 + 3360*i**3/11 + 18816*i**2/11 + 487*i. Solve g(y) = 0 for y.
-56, -1, 2
Let s = -1 + 10. Suppose 2*a + x - s = -2*a, 12 = a - 3*x. Determine z so that z**5 + 2*z**5 - 5*z**5 + 2*z**a = 0.
-1, 0, 1
Let i = -164 + 496/3. Let s = 464 - 1388/3. Factor s + 8/3*y + i*y**2.
4*(y + 1)**2/3
Let w be (10/10)/(2/8). Let r be (w - 8)/4 + 3. Factor -1 - 9*s**2 - s - 1 + s**3 + 4*s**2 - s**4 + 8*s**r.
-(s - 2)*(s - 1)*(s + 1)**2
Let k = -78132 + 2735204/35. Let y = k - 82/5. Solve 4/7*p**3 + 0*p**2 - y*p + 0 - 2/7*p**5 + 0*p**4 = 0.
-1, 0, 1
Factor 24*g**4 + 2*g**5 - 48*g + 2*g**5 - 16*g**2 - 2*g**5 + 36*g**3 + 2*g**5.
4*g*(g - 1)*(g + 2)**2*(g + 3)
Let a(b) be the third derivative of -12*b**2 - 1/420*b**7 - 1/10*b**5 + 0 + 1/40*b**6 + 0*b**3 + 1/6*b**4 + 0*b. Factor a(y).
-y*(y - 2)**3/2
Let b(f) = 7*f**2 + 6 + f**2 + 111*f - 107*f. Let d(z) = -z**2 - z - 1. Let l(w) = b(w) + 6*d(w). Factor l(x).
2*x*(x - 1)
Let j(f) be the third derivative of f**6/240 + f**5/80 + 7*f**3/3 + 7*f**2. Let g(s) be the first derivative of j(s). Factor g(o).
3*o*(o + 1)/2
Let s(j) be the first derivative of 0*j**2 - 1/33*j**6 + 0*j + 0*j**3 + 7 - 1/11*j**4 + 6/55*j**5. Factor s(q).
-2*q**3*(q - 2)*(q - 1)/11
Let o(z) be the third derivative of -z**6/4 + 74*z**5/15 - 355*z**4/12 - 50*z**3/3 - 247*z**2. Factor o(r).
-2*(r - 5)**2*(15*r + 2)
Let x(n) be the first derivative of 3/16*n**2 + 3/8*n**3 - 9/8*n + 7 - 3/32*n**4. Factor x(h).
-3*(h - 3)*(h - 1)*(h + 1)/8
Let y be 328/(-14)*1225/(-150). Let a = y - 190. Determine k so that 4/3*k**2 + 0 - 4/3*k**3 - 4/3*k**4 + a*k = 0.
-1, 0, 1
Let q = -66 - -60. Let m be (1 - 2) + (-3 - q - -1). Solve 2*n**m + 2/5*n**2 + 8/5 - 2/5*n**5 - 16/