 = -30*c**2 - 5*c + 95. Let f(j) = v*o(j) - 6*u(j). Suppose f(x) = 0. What is x?
-1, 2
Let n(u) be the second derivative of 0 + 1/15*u**6 + 0*u**4 - 2/3*u**3 + 20*u + 1/5*u**5 - u**2. Determine i so that n(i) = 0.
-1, 1
Let v(z) be the third derivative of 0 + 0*z**4 - 1/30*z**5 + 1/30*z**6 + 0*z**3 + 8*z**2 - 1/105*z**7 + 0*z. Factor v(j).
-2*j**2*(j - 1)**2
Let h = 243 + -232. Suppose -3 = 3*m, 3*n = -0*n + 2*m + h. Factor 0 - 5/3*y**4 - 7/3*y**2 - n*y**3 - 1/3*y**5 - 2/3*y.
-y*(y + 1)**3*(y + 2)/3
Let v(o) be the third derivative of 0 + 0*o + 3/8*o**4 + 0*o**5 - 1/40*o**6 - 39*o**2 + o**3. Factor v(k).
-3*(k - 2)*(k + 1)**2
Let o(a) be the second derivative of -10*a**7/21 + 95*a**6/6 - 112*a**5 - 3415*a**4/6 - 2470*a**3/3 - 845*a**2/2 + 4*a + 72. Solve o(m) = 0 for m.
-1, -1/4, 13
Let -9/4*k + 3/4*k**4 - 15/4*k**3 + 21/4*k**2 + 0 = 0. What is k?
0, 1, 3
Let j(q) = -7*q**4 - q**3 + 3*q**2 - q + 2. Let u(x) = -3*x**4 - x + 3*x**4 - x**4. Let w(s) = j(s) - 6*u(s). Factor w(o).
-(o - 2)*(o + 1)**3
Let p(n) = -22*n**5 - 15*n**4 + 26*n**3 + 15*n**2 - 10*n - 6. Let d(h) = -2*h**5 + h**3 - 1. Let a(x) = -6*d(x) + p(x). Determine q so that a(q) = 0.
-2, -1, 0, 1/2, 1
Let m(j) be the third derivative of -j**7/15120 - j**6/864 + j**5/120 - 2*j**4/3 - 13*j**2. Let s(y) be the second derivative of m(y). Solve s(c) = 0 for c.
-6, 1
Let k = 184 - 182. Let x(q) be the third derivative of 0 - 1/75*q**5 + 1/60*q**4 + 0*q**3 + 1/300*q**6 + 0*q - 3*q**k. What is v in x(v) = 0?
0, 1
Let w(i) = i**2 - 398*i + 7601. Let f(h) = 2*h**2 - 396*h + 7602. Let x(k) = -4*f(k) + 3*w(k). Factor x(d).
-5*(d - 39)**2
Let i(l) = -13*l**2 + 29*l - 5. Let c(z) = -32*z**2 + 72*z - 12. Let b(k) = -5*c(k) + 12*i(k). Factor b(w).
4*w*(w - 3)
Let w be 1 + 0/(3 + (1 - 6)). Let k(f) = f + 1. Let b(q) = -3*q**2 - 14*q - 23. Let y(c) = w*b(c) - 4*k(c). Factor y(u).
-3*(u + 3)**2
Let d(u) be the first derivative of -5/6*u**3 + 3/4*u**2 - 5 + 7/24*u**4 - 1/30*u**5 + 0*u. Factor d(p).
-p*(p - 3)**2*(p - 1)/6
Let c(p) be the first derivative of -p**8/11760 - p**7/1960 - p**6/840 - p**5/840 + 8*p**3/3 - 12. Let n(z) be the third derivative of c(z). Solve n(h) = 0.
-1, 0
Let k be (3 + 44/(-16))/(1/((-8)/(-6))). Solve k*t + 0 + 1/3*t**2 - 1/3*t**4 - 1/3*t**3 = 0 for t.
-1, 0, 1
Let p(q) be the third derivative of 0 - 1/60*q**4 + 1/525*q**7 + 1/15*q**3 + 38*q**2 + 0*q - 1/75*q**5 - 1/840*q**8 + 1/150*q**6. Factor p(s).
-2*(s - 1)**3*(s + 1)**2/5
Let r be (-3)/12 - 81/(-4). Let z(v) = -v**2 - 7*v + 8. Let t be z(-7). Factor 3 + r*k - 11 - 4 - t*k**2.
-4*(k - 1)*(2*k - 3)
Let t = -47 - -50. Factor 2*w**2 - 10*w**2 + 6*w**3 - 18*w**3 - 4*w + 8*w**t.
-4*w*(w + 1)**2
Let g(h) = -h**3 - 128*h**2 - 104*h + 2923. Let l be g(-127). Find u such that 1/3*u**3 + 0 + 4/3*u + 5/3*u**l = 0.
-4, -1, 0
Let u(m) be the first derivative of -2*m**3/15 - 28*m**2/5 - 30*m + 18. Factor u(n).
-2*(n + 3)*(n + 25)/5
Suppose -18/5 + 2/5*q**2 + 0*q = 0. Calculate q.
-3, 3
Factor -2/5*z**5 + 2/5 + 6/5*z - 6/5*z**4 - 4/5*z**3 + 4/5*z**2.
-2*(z - 1)*(z + 1)**4/5
Let s(u) be the first derivative of 2*u**3/3 - 18*u**2 - 38*u - 25. Factor s(n).
2*(n - 19)*(n + 1)
Let a = 39581 - 39579. Factor 0*p**a + 2/5*p**3 + 0 + 1/5*p**4 + 0*p.
p**3*(p + 2)/5
Let r(h) = 0*h + 5 - h**2 - 5*h + 3 + 2*h**2. Let m be r(5). Find k, given that -2*k**2 + 1 + 3*k**2 + 3*k**2 + 3 - m*k = 0.
1
Let y(w) be the second derivative of w**5/60 - 22*w**4/9 + 453*w. Factor y(s).
s**2*(s - 88)/3
Factor -372/5*n - 14/5*n**2 + 162/5.
-2*(n + 27)*(7*n - 3)/5
Let r(p) be the first derivative of -12 + 1/7*p**5 + 1/14*p**4 - 10/21*p**3 - 1/14*p**2 + 5/7*p - 1/42*p**6. Suppose r(b) = 0. Calculate b.
-1, 1, 5
Let j(t) = -370*t + 7032. Let v be j(19). Factor 0*x + 0 + x**4 - 3/2*x**3 - x**v.
x**2*(x - 2)*(2*x + 1)/2
Let v(n) be the second derivative of 2*n**7/63 - 2*n**6/45 - 2*n**5/15 + 2*n**4/9 + 2*n**3/9 - 2*n**2/3 + 36*n + 2. Find g, given that v(g) = 0.
-1, 1
Let s = -23 - -23. Suppose -x + 3*x - 6 = s. Solve -15*i**2 - 4 - i**2 - 8*i**2 + 7*i**x - 4*i**4 + 16*i + 9*i**3 = 0 for i.
1
Let m(o) = -o**4 + 23*o**3 - 32*o**2 - 44*o + 3. Let l(f) = 4*f**4 - 47*f**3 + 63*f**2 + 86*f - 7. Let w(y) = -3*l(y) - 7*m(y). Factor w(c).
-5*c*(c - 2)*(c + 1)*(c + 5)
Let c = 29 + -26. Factor -c*p**4 + 275*p - 6*p**3 - 3*p**2 - 275*p.
-3*p**2*(p + 1)**2
Let b(j) be the third derivative of 27*j**8/224 + 27*j**7/10 - 9*j**6/40 - 61*j**5/10 + 111*j**4/16 - 7*j**3/2 + j**2 + 2. Determine r so that b(r) = 0.
-14, -1, 1/3
Factor 2 - 5/4*d**2 - 1/4*d**3 - 1/2*d.
-(d - 1)*(d + 2)*(d + 4)/4
Let g(l) be the first derivative of -4*l**5/5 + l**4 + 4*l**3 - 10*l**2 + 8*l + 9. Let g(z) = 0. Calculate z.
-2, 1
Let -2/5*c**2 - 6/5 - 8/5*c = 0. Calculate c.
-3, -1
Let t(b) = 4*b**2 + 12*b + 5. Let o(w) = -w**2. Let i(n) = -4*n**2 - 9*n - 4. Let k(y) = -2*i(y) + 2*o(y). Let f(z) = 5*k(z) - 8*t(z). Solve f(q) = 0.
-3, 0
Let j = 46 - 26. Let g be 8/(-10) + 76/j. Determine v so that 5*v**3 - 2*v + 4*v**2 + 5*v**3 - 12*v**g = 0.
0, 1
What is y in -17*y + 4*y**2 - 7 + 17 + 2*y**3 - 9*y + 10 = 0?
-5, 1, 2
Let g = -5 + 7. Let x = -50 - -56. Factor -g*q + q + x*q - 10*q**3 + 5*q**5.
5*q*(q - 1)**2*(q + 1)**2
Let p(x) be the second derivative of x**6/105 - x**5/70 - 8*x**4/21 + 16*x**3/21 + 230*x. Factor p(y).
2*y*(y - 4)*(y - 1)*(y + 4)/7
Determine r so that -250/7*r**4 - 48/7 + 376/7*r - 1020/7*r**2 + 150*r**3 = 0.
2/5, 3
Suppose -6 + 0 = -3*l. Factor -3*n**3 - 49*n**l + 31*n**2 - 20*n - 7*n.
-3*n*(n + 3)**2
Let v(n) = -81*n + 144. Let a(c) = -5*c + 9. Let u(z) = -33*a(z) + 2*v(z). Let f be u(3). Solve -2*o**5 + 5*o - 5*o + f*o**5 - 2*o**3 - 4*o**4 = 0.
-1, 0
Let q(c) = c**2 + 6*c + 3. Let d be q(-6). Factor -2*v**2 + 123*v**3 - v**2 - d*v**4 - 117*v**3.
-3*v**2*(v - 1)**2
Let x be 2/(-7) + 5/(-7). Let b(n) be the second derivative of n**4/4 - n**2/2 + n + 6. Let k(j) = j**2. Let w(h) = x*b(h) + 2*k(h). Factor w(m).
-(m - 1)*(m + 1)
Let o be 2/(1*4/8). Let u(b) be the third derivative of 0*b + 0 + 1/2*b**o - 11/40*b**6 - 9/70*b**7 + 0*b**3 + 6*b**2 + 4/5*b**5. Factor u(f).
-3*f*(f - 1)*(f + 2)*(9*f + 2)
Suppose -5*x - 13*u = -85, 3*u - 40 = -5*x - u. Find r such that -36*r**x - 34/3*r + 58*r**3 - 4/3 - 28/3*r**2 = 0.
-2/9, -1/6, 1
Let u(l) be the third derivative of l**5/210 - 3*l**4/28 - 10*l**3/21 + 131*l**2. Factor u(m).
2*(m - 10)*(m + 1)/7
Let q(w) be the second derivative of w**5/210 - w**4/21 + 7*w**2/2 + 7*w. Let d(y) be the first derivative of q(y). Factor d(b).
2*b*(b - 4)/7
Let p(d) be the third derivative of d**7/3360 - d**6/360 - d**5/480 + d**4/24 + 11*d**3/3 + 18*d**2. Let h(m) be the first derivative of p(m). Factor h(c).
(c - 4)*(c - 1)*(c + 1)/4
Let q(y) be the first derivative of -y**3/27 + 2*y**2/3 + 13*y/9 + 151. Determine t so that q(t) = 0.
-1, 13
Let i be (-4)/((-48)/(-44)) + 16/4. Let x(f) be the third derivative of 0*f - 6*f**2 + 1/6*f**4 + 0 + 1/30*f**5 + i*f**3. Suppose x(p) = 0. Calculate p.
-1
Let u(q) = -3*q**5 + 19*q**4 - 31*q**3 + 6*q**2 + 14*q - 11. Let a(s) = s**2 + 1. Let o(f) = 12*a(f) + 4*u(f). Suppose o(p) = 0. What is p?
-2/3, 1, 4
Let z(d) be the third derivative of 5*d**8/1008 - 17*d**7/126 + d**6 + 19*d**5/9 - 440*d**4/9 + 640*d**3/3 + 23*d**2 + 6*d. Solve z(t) = 0.
-3, 2, 8
Let g(p) be the first derivative of 0*p**2 + 4/5*p**3 + 0*p + 6/5*p**6 + 132/25*p**5 + 19/5*p**4 + 14. Factor g(h).
4*h**2*(h + 3)*(3*h + 1)**2/5
Let p(k) be the third derivative of -k**8/112 + 4*k**7/35 - 5*k**6/8 + 19*k**5/10 - 7*k**4/2 + 4*k**3 + k**2 - 2. Factor p(x).
-3*(x - 2)**3*(x - 1)**2
Let u(y) = 24*y**3 - 281*y**2 - 91*y + 11. Let t(i) = -5*i**3 + 56*i**2 + 18*i - 2. Let c(a) = 22*t(a) + 4*u(a). Determine r, given that c(r) = 0.
-2/7, 0, 8
Let l(p) be the third derivative of 2*p**7/735 + p**6/210 - 4*p**5/35 - 2*p**4/3 - 32*p**3/21 + 31*p**2. Factor l(j).
4*(j - 4)*(j + 1)*(j + 2)**2/7
Let q(g) be the third derivative of g**5/30 + 5*g**4/6 - 182*g**2. Suppose q(t) = 0. Calculate t.
-10, 0
Let d(r) be the first derivative of -15*r + 10*r**2 - 5/3*r**3 + 6. Determine k so that d(k) = 0.
1, 3
Factor -45/8 + 3/8*h**2 + 3/4*h.
3*(h - 3)*(h + 5)/8
Let b(l) = 2*l**2 - 7*l - 7. Let g(p) = -p**2 + 3*p + 4. Let r(z) = 2*b(z) + 5*g(z). Let f be r(-2). Solve 2/3*i**3 - 4/9*i**2 + 0*i + f 