e h + (-13)/((-91)/878). Determine m, given that o - 432/7*m - 4/7*m**3 + 72/7*m**2 = 0.
6
Let q = 8226 - 8224. Let s(v) be the first derivative of 3/4*v**q - 25 - 3*v + 1/2*v**3. Factor s(h).
3*(h - 1)*(h + 2)/2
Let k(u) be the second derivative of 2/7*u**3 + 3/35*u**5 + 0*u**2 + 0 - 58*u - 1/105*u**6 - 11/42*u**4. Let k(n) = 0. Calculate n.
0, 1, 2, 3
Let b(n) = -n**2 + 8*n + 1. Let x(g) = g. Let y(z) = b(z) - 5*x(z). Let j(p) = p**2 - 17*p + 19. Let d(q) = -j(q) + y(q). Factor d(r).
-2*(r - 9)*(r - 1)
Let s(x) be the second derivative of x**6/10 - 231*x**5/20 + 75*x**4/2 + 6*x + 93. Suppose s(w) = 0. What is w?
0, 2, 75
Let r(z) be the second derivative of z**5/80 - 3*z**4/16 - 35*z**3/12 - 590*z - 2. Factor r(j).
j*(j - 14)*(j + 5)/4
Let v be (-120)/72 - (60/9)/(-1). Find l such that -4*l**2 + 12*l + 2/3*l**4 - 11/3*l**3 + 1/3*l**v + 0 = 0.
-3, 0, 2
Let l be 338/(-39) - -8 - (-64)/42. Let x = -822 + 824. Suppose 6/7*f**x + 2/7*f + 2/7*f**4 + 0 + l*f**3 = 0. What is f?
-1, 0
Let k(v) be the second derivative of -v**4/16 - 39*v**3/8 + 1653*v**2/4 + 2*v + 5570. Factor k(q).
-3*(q - 19)*(q + 58)/4
Let t(o) be the third derivative of o**7/420 + 19*o**6/120 + 8*o**5/3 - 50*o**4/3 - 2640*o**2. Solve t(n) = 0 for n.
-20, 0, 2
Suppose -3*n = n - 3*n. Suppose 5*z - 28 - 17 = n. Factor z*v**2 - 5*v**2 + 0*v**2.
4*v**2
Let a be 190/24 + (-5085)/678. Let w(s) be the second derivative of 0 + a*s**4 + s**2 - 19*s + 7/6*s**3. What is c in w(c) = 0?
-1, -2/5
Let k be 2/(-28)*1 + 5610/924. Let m(i) be the first derivative of 1/3*i**k - 20 - 4/3*i**3 - 3/2*i**4 + 0*i**2 + 0*i**5 + 0*i. Solve m(g) = 0 for g.
-1, 0, 2
Let h(w) be the third derivative of w**6/40 + 39*w**5/20 - w**4/8 - 39*w**3/2 - 94*w**2 - 7*w - 3. Find b such that h(b) = 0.
-39, -1, 1
Let z(o) be the second derivative of -o**7/189 - 749*o**6/135 - 83*o**5/10 + 749*o**4/54 + 748*o**3/27 - 333*o + 12. Let z(d) = 0. Calculate d.
-748, -1, 0, 1
Let j(y) be the first derivative of 2/23*y**4 + 80 + 0*y**2 - 4/115*y**5 + 16/69*y**3 + 0*y - 1/69*y**6. Find z, given that j(z) = 0.
-2, 0, 2
Factor 0 + 55/2*k**2 - 9075/4*k - 1/12*k**3.
-k*(k - 165)**2/12
Let p(w) be the second derivative of 2*w**7/15 - 68*w**6/75 + 23*w**5/25 + 4*w**4/15 + 1025*w. Find t such that p(t) = 0.
-1/7, 0, 1, 4
Let s(x) be the second derivative of x**4/84 + 643*x**3/3 + 2894143*x**2/2 + 3187*x + 1. Suppose s(f) = 0. What is f?
-4501
Let m = -182/33 + 125/22. Let u(d) be the second derivative of -2*d**2 + 0 + 12*d + 1/3*d**3 + m*d**4. Factor u(x).
2*(x - 1)*(x + 2)
Let v(a) be the third derivative of 2*a + 1/180*a**5 - 54*a**2 + 7/72*a**4 + 0 + 1/3*a**3. Determine l, given that v(l) = 0.
-6, -1
Let c(m) = m**3 + m + 6. Let r(u) = -26*u**3 - 3234*u**2 - 3486277*u - 1252726702. Let s(k) = 50*c(k) + 2*r(k). Solve s(i) = 0.
-1078
Let g(y) = -y**3 - 7*y**2 + 18*y + 2. Let h be g(-9). Let r = -11 + 13. Factor -5*l - 35*l**r + 2*l + 14*l**2 - 12*l**h + 9 - 21*l**3.
-3*(l + 1)**2*(7*l - 3)
Let t(o) be the third derivative of o**5/120 + o**4/4 + 35*o**3/12 + 814*o**2. Find a, given that t(a) = 0.
-7, -5
Let d(k) be the first derivative of -2/15*k**5 - 14/9*k**3 + 6*k**2 - 36 - 5/3*k**4 + 0*k. Solve d(a) = 0.
-9, -2, 0, 1
Let b(u) be the second derivative of -30*u + 19/60*u**5 + 1/18*u**3 + 5/12*u**4 + 7/90*u**6 - 1/3*u**2 + 0. Factor b(l).
(l + 1)**3*(7*l - 2)/3
Let x(v) be the first derivative of -v**7/210 - v**6/60 + v**5/60 + v**4/12 - v**2/2 - 40*v - 69. Let n(r) be the second derivative of x(r). Factor n(d).
-d*(d - 1)*(d + 1)*(d + 2)
Let h be (1105/10)/(5/20). Suppose -6*x**3 + 48*x + 462*x**4 - 68*x**2 + 4*x**5 + 2*x**3 - h*x**4 = 0. What is x?
-4, -3, 0, 1
Suppose 356*t - 356 = 356. Factor -6/5*s**t - 8*s + 14/5.
-2*(s + 7)*(3*s - 1)/5
Let t be 6/38*((-4284)/(-54) + -74). Factor 2/19*b**3 - 8/19 - 10/19*b**2 + t*b.
2*(b - 2)**2*(b - 1)/19
Let s = 8472 - 8469. Let d(y) be the third derivative of -12*y**2 + 0*y**s + 0*y - 1/84*y**7 + 0 + 5/48*y**4 + 1/24*y**5 - 1/48*y**6. Factor d(t).
-5*t*(t - 1)*(t + 1)**2/2
Let z(u) = -5*u**3 + 42*u**2 - 115*u + 86. Let g(s) = s**3 + s**2 - 4*s. Let c(b) = -20*g(b) - 5*z(b). Solve c(p) = 0.
1, 2, 43
Let g(f) be the first derivative of -5*f**4/4 - 215*f**3/3 + 110*f**2 - 2051. Determine t, given that g(t) = 0.
-44, 0, 1
Let a(n) be the second derivative of -n**4/60 + 38*n**3/5 - 226*n**2/5 + 8628*n. Factor a(h).
-(h - 226)*(h - 2)/5
Let u = -580726/23 + 25250. Factor 16/23*l + u + 2/23*l**2.
2*(l + 2)*(l + 6)/23
Let r(w) be the third derivative of w**7/2310 - w**6/165 + w**5/132 + 7*w**4/132 + 1679*w**2. Factor r(u).
u*(u - 7)*(u - 2)*(u + 1)/11
Factor -78 - 3/4*p**2 - 81/2*p.
-3*(p + 2)*(p + 52)/4
Let x = 7833/1738 - 6/869. Let z(m) be the first derivative of -9/4*m**3 - 87/8*m**2 - x*m + 12. Factor z(g).
-3*(g + 3)*(9*g + 2)/4
Solve -98/5*b + 394/5*b**3 + 0 + 176/3*b**2 + 8/15*b**4 = 0 for b.
-147, -1, 0, 1/4
Let x(q) = -11*q**2 + 22*q - 6. Let k(g) = 23*g + 63*g**2 - 14 - 76*g**2 + 10. Let z(a) = 5*k(a) - 6*x(a). Factor z(b).
(b - 16)*(b - 1)
Suppose 3*k - k = 4. Let h = 1228 - 1228. Factor 2*j**3 + k - 38*j**2 + h*j + 36*j**2 - 2*j.
2*(j - 1)**2*(j + 1)
Let v be (8 - (-28)/(-7)) + 11. Suppose -253*z + 20*z**2 + z**3 + 261*z + 4*z**4 + v*z**3 = 0. Calculate z.
-2, -1, 0
Suppose 66*b - 123 - 9 = 0. Let z(g) be the third derivative of -13/24*g**6 + 5/3*g**3 - 3/4*g**5 + 5/24*g**4 - 5/42*g**7 + 18*g**b + 0*g + 1. Factor z(p).
-5*(p + 1)**3*(5*p - 2)
Let n be (-380)/(-60) + ((-49)/(-3))/(-7). Let y(i) be the first derivative of 0*i - 1/22*i**n - 8/33*i**3 + 4 - 4/11*i**2. Find l such that y(l) = 0.
-2, 0
Let w = -299 + 299. Find i, given that i**2 - 28*i**4 + 5*i**3 - 759 + 759 + w*i**2 - 32*i**5 = 0.
-1, -1/8, 0, 1/4
Let u(o) be the third derivative of o**6/24 - 10*o**5/3 - 205*o**4/24 - 9880*o**2. Factor u(q).
5*q*(q - 41)*(q + 1)
Let 0 - 2562/13*t - 2/13*t**2 = 0. What is t?
-1281, 0
Suppose -1/3*t**5 - 80/3 + 65/3*t**3 - 17/3*t**4 - 64/3*t + 97/3*t**2 = 0. What is t?
-20, -1, 1, 4
Let n(g) = -123*g**2 - 43*g + 5. Let x be n(2). Let s = x + 1149/2. Factor 9*w - s*w**4 + 15/2*w**2 - 3*w**3 + 0.
-3*w*(w - 2)*(w + 1)*(w + 3)/2
Let p(u) = -3*u + 6. Let j be p(-6). Let g = -18 + j. Let 3*l**4 + 15*l - 7*l - g*l**2 - 20*l**3 + 12*l**3 + 3 = 0. Calculate l.
-1, -1/3, 1, 3
Let s(k) = 2*k**5 - 9*k**4 - k**3 + 13*k**2 + 3*k. Let t be 6/(-3) + -1 - 0. Let b(n) = -n**5 + 5*n**4 - 7*n**2 - n. Let p(o) = t*s(o) - 5*b(o). Factor p(m).
-m*(m - 2)**2*(m + 1)**2
Factor -3/2*t**2 - 3830406 - 4794*t.
-3*(t + 1598)**2/2
Suppose -5*f = 5, -13 = -5*y + f - 3*f. Factor -5*l + 3*l**4 + 13*l**5 - 16*l**y - 22*l**2 + 2 + 7*l**5 + l**4 - 15*l**5.
(l - 2)*(l + 1)**3*(5*l - 1)
Let q(t) be the first derivative of 2/55*t**5 + 6044/33*t**3 + 54/11*t**4 - 71 + 5618/11*t + 5724/11*t**2. Determine i, given that q(i) = 0.
-53, -1
Suppose 2*x - 14 = 3*t, -31*t - 42 = 488*x - 483*x. Suppose 74/7*w**3 + 104/7*w + 32/7 + 20/7*w**x + 2/7*w**5 + 128/7*w**2 = 0. Calculate w.
-4, -2, -1
Suppose -11*n - 3*n + 1176 = 0. Let p be (-96 + n)/(-1*(1 + 1)). Factor -4*w**2 - 47*w**2 + 10 + 21*w**3 + p*w + 0 + 14.
3*(w - 2)*(w - 1)*(7*w + 4)
Let f(a) = -31*a**2 + 9*a - 11. Let y(j) = 94*j**2 - 26*j + 32. Let m(r) = 11*f(r) + 4*y(r). Let l be m(2). Factor 35*q**2 - 137 + 10*q + l.
5*q*(7*q + 2)
Let o(c) be the first derivative of -11 + 0*c**2 - 4*c + 5/2*c**3 + 3/4*c**5 - 25/6*c**4. Let k(s) be the first derivative of o(s). Factor k(z).
5*z*(z - 3)*(3*z - 1)
Let f(s) be the first derivative of -s**6/105 + 3*s**5/70 + s**4/42 - s**3/7 + 162*s - 42. Let h(x) be the first derivative of f(x). Factor h(m).
-2*m*(m - 3)*(m - 1)*(m + 1)/7
Let r be (-3)/14 - 29/26796*-506. Determine h, given that -1/3*h**2 - 48 + 56/3*h - r*h**3 = 0.
-9, 4
Let y(m) be the second derivative of -m**5/50 + 131*m**4/15 - 104*m**3/3 + 5934*m. Factor y(c).
-2*c*(c - 260)*(c - 2)/5
Let d(n) be the second derivative of 2*n**5/25 + 2687*n**4/30 - 3364*n**3/15 + 673*n**2/5 - 58*n - 8. Determine f, given that d(f) = 0.
-673, 1/4, 1
Let k be 85/15 + 2/(-6). Factor 14*z + 12 + 2/3*z**3 + k*z**2.
2*(z + 2)*(z + 3)**2/3
Suppose -4*s - 216 = -13*s. Factor 26*w + 12*w**2 + s*w**2 + 6*w**4 + 24*w**3 - 10*w - 2*w**4.
4*w*(w + 1)**2*(w + 4)
Let u(a) be the third derivative of -a**7/420 