/4*g**k + 3/4*g + o.
-3*(g - 1)*(g + 1)*(g + 2)/4
Let d(g) be the third derivative of -g**6/60 - g**5/10 + 71*g**2. Factor d(u).
-2*u**2*(u + 3)
Let s(v) be the first derivative of 2*v**5/55 - 5*v**4/11 + 2*v**3 - 40*v**2/11 + 32*v/11 - 54. Determine d, given that s(d) = 0.
1, 4
Let h(d) be the second derivative of 0 - 1/27*d**3 + 1/90*d**5 + 12*d - 1/54*d**4 + 1/9*d**2. Factor h(j).
2*(j - 1)**2*(j + 1)/9
Let x be (-2)/25 - 14938/(-4850). Find q, given that -10/3 + 3*q**2 + 1/3*q**4 + 7/3*q - 7/3*q**x = 0.
-1, 1, 2, 5
Let x = 1839 - 5516/3. Determine j, given that 1/3*j**4 - 2/3*j - x*j**2 - 1/3*j**5 + j**3 + 0 = 0.
-1, 0, 1, 2
Let u(i) be the third derivative of -i**8/80 + 3*i**7/70 + 13*i**6/200 - 31*i**5/100 - 3*i**4/20 + 8*i**3/5 + 4*i**2 + 8. Suppose u(o) = 0. Calculate o.
-1, 1, 8/7, 2
Let -18/7*c - 8/7*c**2 + 1/7*c**4 - 9/7 + 2/7*c**3 = 0. What is c?
-3, -1, 3
Let s(p) be the second derivative of -p**4/84 - 2*p**3/21 + 6*p**2/7 - 153*p. Solve s(y) = 0.
-6, 2
Factor -16/3*n + 0 + 2/9*n**2.
2*n*(n - 24)/9
Let s = 52793/72 + -6598/9. Factor -2 - s*l**3 - l + 7/8*l**2.
-(l - 4)**2*(l + 1)/8
Suppose -3*s + 5*s - 122 = -2*r, 0 = 3*r + s - 185. Let t = r - 57. Solve 1/4*h**3 + 0 - 1/8*h**t + 0*h**4 + 0*h**2 - 1/8*h = 0.
-1, 0, 1
Factor -7*f**2 + 24*f**3 + 161*f - 357*f + 49*f**2 + 2*f**4.
2*f*(f - 2)*(f + 7)**2
Let w(g) be the first derivative of -5*g**6/6 - 7*g**5/5 + g**4/4 + g**3 + 79. Determine j so that w(j) = 0.
-1, 0, 3/5
Let h(j) be the third derivative of 14*j**2 - 1/20*j**5 + 0*j**3 + 0*j + 1/4*j**4 + 0 - 1/40*j**6. Factor h(p).
-3*p*(p - 1)*(p + 2)
Let m(u) be the third derivative of -u**6/60 + 16*u**5/15 - 221*u**4/12 - 578*u**3/3 + 441*u**2. Factor m(h).
-2*(h - 17)**2*(h + 2)
Factor 2 + 8 - 31 + 16*a + 9*a**2 - 7*a**2 - 19.
2*(a - 2)*(a + 10)
Let s(x) be the first derivative of -2*x**6/3 + 60*x**5 - 1290*x**4 - 17320*x**3/3 - 8970*x**2 - 6084*x + 154. Solve s(j) = 0 for j.
-1, 39
Suppose a + 2*a = -4*m + 46, -a - 2 = -3*m. Suppose 3*l + a = 8*l. Solve 18*j**4 - 5*j**l + 22*j**3 - 2*j + 9*j**2 + 2*j = 0 for j.
-1, -2/9, 0
Let d(i) be the third derivative of i**6/96 + 13*i**5/48 + 25*i**4/12 + 15*i**3/2 + 7*i**2 - 7. Solve d(r) = 0.
-9, -2
What is x in 74/3*x**2 + 10/3*x**3 + 88/3*x + 8 = 0?
-6, -1, -2/5
Let g(m) be the third derivative of 0*m**3 + 25*m**2 - 1/6*m**5 + 1/8*m**6 + 0*m**4 - 1/42*m**7 + 0 + 0*m. Determine v, given that g(v) = 0.
0, 1, 2
Let l(v) = -4*v**2 + 2*v + 3. Let p(w) = -w**2 + w - 1. Let y(c) = -5*l(c) - 5*p(c). Solve y(a) = 0.
-2/5, 1
Let i(o) = o**2 - o - 1. Let x = 2 + -3. Let j(h) = -10*h**2 - 6 - 2*h + 4 - 3*h**3 + 5*h**2 + 9*h**2. Let f(k) = x*j(k) + 2*i(k). Factor f(v).
v**2*(3*v - 2)
Let f(d) be the second derivative of d**5/20 + d**4/12 + d - 9. Factor f(i).
i**2*(i + 1)
Let k(u) = -4*u**3 - 43*u**2 + 9*u - 22. Let f be k(-11). Let v(i) be the second derivative of 1/18*i**3 - 1/36*i**4 + i + 0*i**2 + f. Factor v(g).
-g*(g - 1)/3
Let k(z) be the third derivative of -z**6/40 + 3*z**5/20 + 9*z**4/8 + 5*z**3/2 - 117*z**2. Factor k(t).
-3*(t - 5)*(t + 1)**2
Let v be 2 + (-4)/(-2) - 2. Determine s so that -14*s - v*s + 4 - 17*s + s + 64*s**2 = 0.
1/4
Let j(g) = -3*g**2 - 208*g - 3892. Let z(l) = -2*l + 1. Let u(a) = j(a) + 4*z(a). Factor u(i).
-3*(i + 36)**2
Suppose -3*b - 2*b = -50. Find j such that -15*j**2 + 3*j**4 + 2*j**4 + 5*j - 20*j**3 + b + 15*j**3 = 0.
-1, 1, 2
Factor -36/5 + 0*x + 4/5*x**2.
4*(x - 3)*(x + 3)/5
Let v be (-2 + (-1 - 17))/(-2). Solve v*t**5 + 0*t**3 - 5*t**2 + 5*t**4 - 7*t**3 - 3*t**3 = 0 for t.
-1, -1/2, 0, 1
Let r(w) be the third derivative of w**5/30 - 4*w**4 - 49*w**3/3 - 91*w**2 - w. Factor r(b).
2*(b - 49)*(b + 1)
Suppose 3*a = 3*d - 15, -2*a = -6*d + 2*d + 14. Find b such that -b**3 - 3*b**3 + 7*b**5 - 2*b**4 + d*b**5 - 7*b**5 = 0.
-1, 0, 2
Suppose -24 + 6 = -9*x. Determine n so that -13*n**3 + 20*n - x*n**3 + 5*n**5 - 9*n**2 - 10*n**4 + 29*n**2 = 0.
-1, 0, 2
Let s(j) be the third derivative of -j**6/900 + 7*j**5/450 + 17*j**4/180 + j**3/5 - 111*j**2. Factor s(m).
-2*(m - 9)*(m + 1)**2/15
Let p(q) be the second derivative of 1/120*q**5 - 5/72*q**4 + 0 - 1/6*q**3 + 0*q**2 - 9*q. Factor p(t).
t*(t - 6)*(t + 1)/6
Let l(o) be the first derivative of 30*o + 25/2*o**2 + 5/3*o**3 - 19. Determine f so that l(f) = 0.
-3, -2
Solve 5388*l**2 - 16*l + 4*l**3 + 20 - 4 - 5392*l**2 = 0.
-2, 1, 2
Let v(b) be the second derivative of 3*b - 1/21*b**7 + 0*b**2 + 0 + 0*b**6 + 3/10*b**5 + 0*b**3 - 1/3*b**4. Let v(k) = 0. What is k?
-2, 0, 1
Let k be ((-6)/32)/(1569/(-96232)). Find w such that -4 - 5/2*w**3 - k*w - 21/2*w**2 + 1/2*w**4 = 0.
-1, 8
Let v be (-6)/4*(-1 + -1). Let u(k) = k**3 + 22*k**2 + 41*k + 24. Let i be u(-20). Factor -3*f**3 + 2*f**5 + 10*f**5 + 8*f**i - f**v.
4*f**3*(f + 1)*(3*f - 1)
Suppose -z + 14 = 6*z. Solve -x**5 + 5*x**2 - 5*x**3 + 2*x**3 + x + 3*x - 4*x**4 - x**z = 0.
-2, -1, 0, 1
Let k(p) be the first derivative of p**5/12 - 5*p**3/6 - 5*p**2 - 6. Let l(q) be the second derivative of k(q). Factor l(i).
5*(i - 1)*(i + 1)
Let o = 162 + -162. Let c(m) be the first derivative of 3/8*m**4 - m**2 + 1/10*m**5 + 0*m**3 + 3 + o*m. Factor c(l).
l*(l - 1)*(l + 2)**2/2
Suppose -y - 7 = 2*i + 3, -3*i = -2*y - 6. Let r be (11 + y)*(-1 + 2). Determine p so that -p**r + 3*p**3 + 5*p**2 - 2*p**5 - 6*p**2 + 3*p**4 - 2*p**2 = 0.
-1, 0, 1
Let q(o) be the third derivative of o**5/30 + 3*o**4/4 - 136*o**3/3 - 8*o**2 + 14*o. Find l, given that q(l) = 0.
-17, 8
Factor -1/5*d**4 - 2166/5*d**2 - 76/5*d**3 - 27436/5*d - 130321/5.
-(d + 19)**4/5
Let a(r) = r**3 - 7*r**2 + 2*r - 21. Let b be a(9). Let i = 319/2 - b. Factor -i*t**2 + 3*t - 9/2.
-(t - 3)**2/2
Factor -24*c**2 - 2*c**4 + 343*c - 702*c + 343*c - 12*c**3.
-2*c*(c + 2)**3
Let u(f) be the second derivative of -f**5/90 + f**4/27 + 5*f**3/27 - 2*f**2/3 + f - 46. Factor u(p).
-2*(p - 3)*(p - 1)*(p + 2)/9
Let a(p) be the first derivative of -p**7/315 - p**6/60 - p**5/45 + 3*p**2 + 9. Let q(u) be the second derivative of a(u). Find z such that q(z) = 0.
-2, -1, 0
Let z(h) be the second derivative of -1/6*h**4 + 3*h**2 + 0*h**3 + 1/10*h**5 - 1/60*h**6 - 8*h + 0. Let j(y) be the first derivative of z(y). Solve j(o) = 0.
0, 1, 2
Let t = -4866 - -24333/5. Factor t*k - 3/5*k**2 + 6/5.
-3*(k - 2)*(k + 1)/5
Let d(h) be the third derivative of -2*h**6/75 + 7*h**5/50 - 7*h**4/60 - 2*h**3/5 + 92*h**2. Solve d(v) = 0.
-3/8, 1, 2
Factor -79*u**3 + 99*u**4 + u**5 - 89*u**4 + 104*u**3.
u**3*(u + 5)**2
Suppose -15*q = -38 - 82. Let r(p) be the second derivative of -7/15*p**6 - 4*p**2 - 43/6*p**4 + 3*p**5 + 5*p + q*p**3 + 0. Suppose r(h) = 0. What is h?
2/7, 1, 2
Let d(h) be the third derivative of h**5/12 + 5*h**4/2 + 80*h**3/3 + 336*h**2 + 2*h. Factor d(m).
5*(m + 4)*(m + 8)
Let s(c) be the second derivative of -c**8/672 + c**7/420 + c**6/120 + 31*c**2/2 + 2*c + 6. Let n(g) be the first derivative of s(g). Factor n(m).
-m**3*(m - 2)*(m + 1)/2
Suppose 5*u - 2*b - 307 = 0, 3*u - 2*b + 37 = 218. Suppose -55 + u = 2*t. Factor 24*f**2 + 3*f + 0 + 231/4*f**3 + 147/4*f**t.
3*f*(f + 1)*(7*f + 2)**2/4
Let c(h) be the second derivative of -h**7/7 - h**6/12 + 3*h**5/20 - h**4/24 - 30*h. Suppose c(q) = 0. What is q?
-1, 0, 1/4, 1/3
Find o such that 1577*o**2 - 54*o**4 + 1154*o**4 - 124 - 5057*o**3 - 4 - 32*o + 1159*o**2 - 23*o**3 = 0.
-2/11, 2/5, 4
Suppose -3*u + 619 = 610. Let o(f) be the second derivative of 5*f + 1/2*f**2 + 1/20*f**5 + 0 - 1/6*f**u - 1/12*f**4. Solve o(m) = 0.
-1, 1
Let w(n) be the second derivative of -2*n**6/75 - 2*n**5/25 + 7*n**4/15 - 8*n**3/15 - 40*n + 1. Solve w(s) = 0 for s.
-4, 0, 1
Let a = 4 - -50. Determine z, given that -a*z**2 + 0*z + 54*z**2 - 9*z - 6 + 3*z**3 = 0.
-1, 2
Suppose -3*q - 231 = c, 5*q + 2*c = 2*q - 231. Let v be 12/21*q/(-22). Factor 1/3*l**v - 1/3*l + 0.
l*(l - 1)/3
Let k(h) = -h**2 + 57*h + 6846. Let u be k(116). Determine q so that 3/2 + 37/2*q**u + 41/4*q + 39/4*q**3 = 0.
-1, -2/3, -3/13
Let o(s) be the first derivative of -10 + 23/20*s**2 - 3/5*s + 2/15*s**3. What is y in o(y) = 0?
-6, 1/4
Let y(h) be the first derivative of 2*h**4 + 2/3*h**6 + 0*h - 6*h**2 + 16/5*h**5 - 16/3*h**3 + 31. Factor y(k).
4*k*(k - 1)*(k + 1)**2*(k + 3)
Let c(w) = w**2 - 1. Let m(h) = h**2 + 9*h - 11. Let v be m(-10). Let d(j) = 2*j**2 + 