hird derivative of -o**10/105840 - o**9/26460 + o**8/7840 - 31*o**4/24 - 15*o**2. Let s(x) be the second derivative of v(x). Factor s(d).
-2*d**3*(d - 1)*(d + 3)/7
Let f(z) be the first derivative of 3*z**4 + 16*z**3/3 - 2*z**2 - 8*z - 278. Factor f(n).
4*(n + 1)**2*(3*n - 2)
Let u(q) be the first derivative of 2/13*q**3 + 0*q - 26 + 0*q**2 + 1/26*q**4. Factor u(j).
2*j**2*(j + 3)/13
Suppose -7*j + 5*j - y + 8 = 0, 3*y - 4 = 4*j. Solve -3/5*o + 3/5*o**j + 0 = 0.
0, 1
Let a(b) be the second derivative of -b**5/16 + 15*b**4/16 - 25*b**3/6 + 15*b**2/2 + 54*b - 2. Find t, given that a(t) = 0.
1, 2, 6
Suppose -11*a = -28 - 5. Let h(s) be the second derivative of 5*s + 0 + 0*s**2 + 0*s**a - 1/110*s**5 + 1/66*s**4. Determine p so that h(p) = 0.
0, 1
Let y(s) be the first derivative of -s**6/15 - 12*s**5/25 - 6*s**4/5 - 16*s**3/15 - 119. Determine z, given that y(z) = 0.
-2, 0
Let i(u) = u**2 - u - 1. Let j(l) = 4*l**2 + 94*l + 1150. Let d(g) = 2*i(g) - j(g). Find f such that d(f) = 0.
-24
Let y = 28 + -24. Suppose 0 = -y*l + 240 - 32. Suppose 36*n**5 - 36*n**4 + 16*n + 29*n**3 - 81*n**3 - 19 + 3 + l*n**2 = 0. Calculate n.
-1, -2/3, 2/3, 1
Factor 2/9*f**5 + 4/3*f**4 - 2*f - 4/9*f**2 + 16/9*f**3 - 8/9.
2*(f - 1)*(f + 1)**3*(f + 4)/9
Let t be 2 + -4 + 3 + -8. Let x(z) = -9*z**2 - 97*z - 218. Let u(f) = -3*f**2 - 32*f - 73. Let i(k) = t*u(k) + 2*x(k). Suppose i(y) = 0. Calculate y.
-5
Factor 90/11 + 38/11*v**2 - 2/11*v**3 - 126/11*v.
-2*(v - 15)*(v - 3)*(v - 1)/11
Let u(q) = 2*q**4 + 16*q**3 + 44*q**2 - 2*q - 4. Let t(l) = -2*l**4 - 14*l**3 - 45*l**2 + 3*l + 6. Let j(r) = -2*t(r) - 3*u(r). Suppose j(d) = 0. Calculate d.
-7, -3, 0
Let t be (-7)/(-7)*(-1 + 1). Suppose -3*f + 12 = -2*k + 4, 4*f + 2*k - 20 = t. Find c, given that -2*c**5 - c**3 - 2*c**3 + 6*c**f - c**3 = 0.
0, 1, 2
Suppose c = -3 + 5. Suppose w - c*w = -2. Solve -6*n**3 + 0 - 8/5*n**w + 8/5*n = 0.
-2/3, 0, 2/5
Let t = -12 - 53. Let q be 39/t - 42/(-10). Let 4/5 - 14/5*p + q*p**4 + 14/5*p**3 - 22/5*p**2 = 0. Calculate p.
-1, 2/9, 1
Determine l so that 3/2*l**2 - 24 + 0*l = 0.
-4, 4
Let j(a) = a**3 - 17*a**2 + 35*a - 73. Let l be j(15). Find v, given that 0*v**l - 2/9*v**3 + 2/3*v + 4/9 = 0.
-1, 2
Suppose -1 = -2*q + 7. Suppose -q*g**3 - g**4 + g**5 + 4*g**2 - 12822 + 12822 = 0. What is g?
-2, 0, 1, 2
Find c, given that -22*c**2 - 22*c - 10*c - 11 - 41*c - 2*c**3 + 21*c - 21 = 0.
-8, -2, -1
Let n(u) = 5*u**2 - 7*u + 1. Let a(x) = -9*x**2 + 13*x - 1. Let l(k) = 6*a(k) + 11*n(k). Let z be l(0). Factor -y**z + y**3 + y**2 - y**4 + 0*y**4 + 0*y**2.
-y**2*(y - 1)*(y + 1)**2
Let r be (0 + -1)*(286/55 - 7 - -1). Factor 0*l + r - 4/5*l**2.
-4*(l - 1)*(l + 1)/5
Suppose -q = -9*j + 7*j + 6, 5*q + 20 = 5*j. Factor 0 + 1/5*m**j - 1/5*m**3 + 0*m.
-m**2*(m - 1)/5
Let h(a) = 292*a**2 - 17*a - 5. Let j(q) = -145*q**2 + 8*q + 2. Let x(d) = 2*h(d) + 5*j(d). Let x(m) = 0. What is m?
0, 2/47
Let k(h) be the third derivative of h**7/70 + h**6/10 + 3*h**5/20 + 6*h**2 + h. Let k(u) = 0. Calculate u.
-3, -1, 0
Find x such that 13/4*x**2 + 1/4*x - 13/4 - 1/4*x**3 = 0.
-1, 1, 13
Suppose -8*v + 140 = -4*v. Let l be -3 + 14/5 - (-12)/v. Solve -5/7*j**3 + 0 - l*j**2 - 3/7*j**4 + 1/7*j = 0.
-1, 0, 1/3
Let m(o) be the third derivative of 0*o + 0*o**3 + 0 - 1/660*o**6 + 0*o**4 + 9*o**2 + 0*o**5. Determine c so that m(c) = 0.
0
Let p(v) = 3*v**2 - v + 2. Let y be p(1). Let w be (y/10)/((-40)/(-25)). Factor 0*t + 1/4 - w*t**2.
-(t - 1)*(t + 1)/4
Let s = -3/2 + -25/6. Let i = s + 35/6. Find x such that 0 + i*x**2 + 1/3*x = 0.
-2, 0
Let f(x) = 30*x**4 + 163*x**3 + 68*x**2 - 60*x + 5. Let o(y) = -15*y**4 - 81*y**3 - 33*y**2 + 30*y - 3. Let b(g) = 3*f(g) + 5*o(g). Find w, given that b(w) = 0.
-5, -1, 0, 2/5
Let b(k) be the first derivative of -k**8/2352 - k**7/490 - k**6/630 - k**3/3 + 15. Let v(n) be the third derivative of b(n). Suppose v(f) = 0. What is f?
-2, -2/5, 0
Factor -3/5*u**4 + 3/5*u**3 + 3/5*u**2 - 3/5*u + 0.
-3*u*(u - 1)**2*(u + 1)/5
Let h = -4300 - -4302. Determine z, given that -2*z - 5 - 1/5*z**h = 0.
-5
Let z = 103 + -108. Let n be z - -3*(-52)/(-28). Let 1/7 - m**2 - n*m**3 - 2/7*m = 0. What is m?
-1, 1/4
Let k(r) be the first derivative of r**3/9 + r**2/6 - 2*r/3 - 72. Factor k(n).
(n - 1)*(n + 2)/3
Let f(p) be the second derivative of -p**4 - 44*p**3/3 + 90*p**2 - 68*p + 3. What is n in f(n) = 0?
-9, 5/3
Let z be 12/40*(-4)/(-339). Let b = 110746/1695 - z. Factor -280/3*s**2 - 32/3 + b*s**3 - 208/3*s.
4*(s - 2)*(7*s + 2)**2/3
Suppose 171/2*f**3 - 159/2*f**4 + 18 + 6*f**5 + 123/2*f**2 - 183/2*f = 0. What is f?
-1, 1/4, 1, 12
Let a(k) = -8*k + k**2 + 3*k**2 + k + k**2. Let m(x) = -5*x**2 + 6*x. Let b(p) = 4*a(p) + 3*m(p). Let b(f) = 0. What is f?
0, 2
Let t be 0*(154/28)/(-11). Suppose t - 2/3*g**4 + 4/3*g**3 - 4/3*g + 2/3*g**2 = 0. What is g?
-1, 0, 1, 2
Let r(j) = -9*j**4 - 171*j**3 - 2001*j**2 + 7557*j + 6. Let x(t) = -t**4 - t**3 - 2*t + 1. Let k(f) = r(f) - 6*x(f). Factor k(p).
-3*p*(p - 3)*(p + 29)**2
Let n(h) be the second derivative of -h**4/36 + 23*h**3/36 - 21*h**2/4 - 89*h. Factor n(p).
-(p - 7)*(2*p - 9)/6
Let o(g) be the second derivative of 0*g**2 + 1/72*g**4 + 0 + 1/120*g**5 + 0*g**3 - 14*g. Factor o(q).
q**2*(q + 1)/6
Let c(m) = 2*m**2 + m - 2. Let o(v) = 7*v**2 + 236*v + 223. Let u(y) = 6*c(y) - o(y). Factor u(l).
5*(l - 47)*(l + 1)
Suppose 0 = 3*g - 24. Factor -65*d**2 - 1 - g - 35*d - 5*d**4 + 20*d**2 - 1 - 25*d**3.
-5*(d + 1)**3*(d + 2)
Factor 144/5*n + 96 - 3/5*n**3 - 54/5*n**2.
-3*(n - 4)*(n + 2)*(n + 20)/5
Let q(c) = 5*c - 3. Let x(n) = n. Let u(l) = -q(l) + 4*x(l). Let t be u(0). Factor -2*z + 2 + z - 1 + t*z**2 + 4*z + z**3.
(z + 1)**3
Let f be ((-492)/(-8))/((-6)/(-8)). Let w be 1/((-1)/f*-2). Factor -5 + 12*p**4 + 8*p**2 - 2 - 27*p + 1 - w*p**2.
3*(p - 2)*(p + 1)*(2*p + 1)**2
Factor -2/5*n + 12/5 - 2/5*n**2.
-2*(n - 2)*(n + 3)/5
Let d(k) be the third derivative of -k**5/12 + 95*k**4/12 - 185*k**3/6 - 4*k**2 + k. Factor d(t).
-5*(t - 37)*(t - 1)
Let m = 34402 - 172006/5. Solve 54/5*p**5 + 72/5*p**4 - m - 68/5*p**2 - 6*p - 24/5*p**3 = 0.
-1, -2/3, -1/3, 1
Factor 1/7*o**2 + 40/7*o + 39/7.
(o + 1)*(o + 39)/7
Let l(q) be the second derivative of -q**6/480 + q**5/80 - q**4/32 + q**3/24 + 13*q**2/2 + 8*q. Let w(i) be the first derivative of l(i). Factor w(m).
-(m - 1)**3/4
Let n = 834 + -834. Let y(c) be the third derivative of 2*c**2 + 0 - 1/8*c**4 - 1/40*c**6 + n*c**3 + 0*c - 1/10*c**5. Factor y(h).
-3*h*(h + 1)**2
Factor 0 + 3*z**4 + 0*z**2 + 0*z + 3/2*z**3.
3*z**3*(2*z + 1)/2
Let x(p) be the second derivative of p**8/3360 + p**7/420 - p**5/15 - 17*p**4/12 + 15*p. Let u(o) be the third derivative of x(o). Factor u(f).
2*(f - 1)*(f + 2)**2
Suppose -2*h + 5 = -b - 10, 26 = 3*h + 2*b. Let -3 - 8*r**3 + 5*r**3 - 3 - 15*r - 4*r**2 - h*r**2 = 0. What is r?
-2, -1
Let d(k) be the third derivative of -k**5/15 - 13*k**4/2 - 127*k**2 - 2. Solve d(i) = 0.
-39, 0
Suppose -50 = -5*v - 2*d, -2*d + 0*d = -4*v + 22. Let f = 8 + v. Solve -5*w**4 + 16 + w**4 - f*w**3 + 4*w + 12*w - 12*w**2 = 0 for w.
-2, -1, 1
Factor 1/2*d**3 + 0 + d**4 + 0*d + 0*d**2.
d**3*(2*d + 1)/2
Let k(f) be the third derivative of -1/1200*f**6 + 1/240*f**4 + 0*f - 1/300*f**5 - 2*f**2 + 0 + 1/30*f**3. Factor k(d).
-(d - 1)*(d + 1)*(d + 2)/10
Let n(g) be the third derivative of -g**5/240 - g**4/48 + g**3/8 + 93*g**2 - 1. Factor n(p).
-(p - 1)*(p + 3)/4
Let n(x) be the second derivative of 2*x**6/3 - 33*x**5/4 + 110*x**4/3 - 70*x**3 + 40*x**2 + 89*x. Let n(o) = 0. Calculate o.
1/4, 2, 4
Suppose a = 4*y - 17, -4*y + y + 4*a = -3. Factor 14 + 5*r**2 + 17 - 31 - y*r.
5*r*(r - 1)
Let p(l) be the second derivative of -l**5/30 + l**4/18 + 2*l**3/9 + 47*l. Determine u, given that p(u) = 0.
-1, 0, 2
Suppose -3*h = -2*h + 4*x, x = h. Let l(i) be the first derivative of -2/45*i**3 + h*i + 1/30*i**4 - 1/15*i**2 + 2/75*i**5 + 4. Factor l(n).
2*n*(n - 1)*(n + 1)**2/15
Let l(n) be the second derivative of 0*n**2 - 1/21*n**4 + 0*n**3 + 0*n**6 + 6*n - 3/70*n**5 + 0 + 1/147*n**7. Factor l(a).
2*a**2*(a - 2)*(a + 1)**2/7
Suppose 61*j - 36 = 147. Let i(a) be the second derivative of 0 - 1/18*a**4 + 0*a**2 + 1/30*a**5 + 7*a + 0*a**j. Factor i(z).
2*z**2*(z - 1)/3
Let y(u) = -19*u**4 - 11*u**3 + 18*u**2 + 60*u - 61. Let s(c) = -9*c**4 - 6*c**3 + 9*c**2