e the first derivative of -i**4/4 - 2*i**3/3 - i**2 - 4*i - 15. Let s be k(-2). Determine n, given that s*n + 1/2*n**2 - 1/2 = 0.
-1, 1
Let k(i) be the first derivative of 2*i**5/15 - i**4/6 - 2*i**3/3 + 5*i**2/3 - 4*i/3 - 12. Determine w, given that k(w) = 0.
-2, 1
Determine k so that -2*k**2 + k + 7*k**2 - 4*k**2 + k**3 - 3*k**2 = 0.
0, 1
Let w be (30/(-8))/((-72)/96). Let k(h) be the third derivative of 3/100*h**6 + 7/60*h**4 + 0*h - 4*h**2 - 1/10*h**w - 1/15*h**3 + 0. Factor k(r).
2*(r - 1)*(3*r - 1)**2/5
Let c(k) be the second derivative of k**7/7 - k**6/3 + k**5/5 - 2*k. Suppose c(t) = 0. Calculate t.
0, 2/3, 1
Factor 1/4*o**4 + 0 + 1/4*o + 3/4*o**3 + 3/4*o**2.
o*(o + 1)**3/4
Let v(t) be the third derivative of 0 + 0*t + 0*t**3 + 0*t**4 - 2/15*t**7 - 1/15*t**5 + 11/60*t**6 - 2*t**2. Suppose v(f) = 0. Calculate f.
0, 2/7, 1/2
Let a(u) be the third derivative of -u**7/70 - u**6/12 - u**5/5 - u**4/4 - u**3/6 - 12*u**2. Factor a(m).
-(m + 1)**3*(3*m + 1)
Factor -2/5*v**2 + 2/5*v**3 - 4/5*v + 0.
2*v*(v - 2)*(v + 1)/5
Let j = -470 + 474. What is n in -9/4*n**2 + 7/4*n + 5/4*n**3 - 1/2 - 1/4*n**j = 0?
1, 2
Let b(h) be the third derivative of 0*h**3 - 1/1155*h**7 - 4*h**2 + 0*h**4 - 1/660*h**6 + 0*h**5 + 0 + 0*h. Solve b(t) = 0 for t.
-1, 0
Let p(b) be the third derivative of 0*b**3 - 1/60*b**4 - b**2 + 0 + 0*b - 7/600*b**6 - 3/100*b**5. Let p(g) = 0. What is g?
-1, -2/7, 0
Let b(y) = y**2 - 12*y + 13. Let m be b(11). Factor -m*h**2 + 0*h + 2*h**4 - 3*h**5 - 4*h**2 + 4*h**4 + 3*h.
-3*h*(h - 1)**3*(h + 1)
Let m(q) = 31*q**3 + 35*q**2 - 34*q - 20. Let f(l) = 30*l**3 + 35*l**2 - 35*l - 20. Let k(n) = 6*f(n) - 5*m(n). Solve k(h) = 0 for h.
-2, -2/5, 1
Let g be 1 - (-3 + 0) - 3. Let c(t) be the first derivative of 0*t**2 - g + t**3 - t + 1/2*t**4. Solve c(l) = 0.
-1, 1/2
Let f = 7 + 0. Suppose -5*c + 2*w + 15 = -3*w, 2*c - w - f = 0. Factor -n**3 + 0*n - 1/2*n**2 - 1/2*n**c + 0.
-n**2*(n + 1)**2/2
Let j(q) = q**2 + 2*q - 6. Let c be j(-4). Let a(i) be the second derivative of 0*i**3 + 0 - i + 1/7*i**c - 1/42*i**4. Find n such that a(n) = 0.
-1, 1
Let u(t) = -2*t**4 - 23*t**3 - 31*t**2 - t - 4. Let q(r) = -7*r**4 - 15*r**2 - 8*r**4 - r - 11*r**3 + 14*r**4 - 2. Let o(a) = -13*q(a) + 6*u(a). Factor o(v).
(v + 1)**3*(v + 2)
Solve -104*z**3 + 107*z**3 - 2*z**5 + 0*z**5 - z**5 = 0 for z.
-1, 0, 1
Let l(o) = o**4 + o**3 - o. Let i(f) = -f - 3. Let r be i(-4). Let n(v) = 6*v**4 + 9*v**3 - 9*v - 3. Let u(p) = r*n(p) - 3*l(p). Suppose u(d) = 0. What is d?
-1, 1
Let w(l) be the first derivative of l**6/9 - 2*l**5/15 + 3. Suppose w(x) = 0. Calculate x.
0, 1
Let v = 62 + -185/3. Let t(k) be the second derivative of 0*k**2 + 1/84*k**7 - v*k**4 - 1/10*k**6 + k + 3/10*k**5 + 0 + 0*k**3. Factor t(x).
x**2*(x - 2)**3/2
Factor 3/2*c**2 + 0 + 3/2*c.
3*c*(c + 1)/2
Let c(g) be the third derivative of -1/24*g**4 + g**2 + 0 + 2/15*g**5 + 0*g - 2/15*g**6 + 0*g**3. Solve c(u) = 0 for u.
0, 1/4
Let q(o) be the second derivative of o**2 + o**3 - 2*o - 3/10*o**5 + 0 - 1/6*o**4. Factor q(l).
-2*(l - 1)*(l + 1)*(3*l + 1)
Let i(h) = 24*h**2 - 96*h - 51. Let u be 3/(-2)*-1*-14. Let a(r) = 5*r**2 - 19*r - 10. Let m(k) = u*a(k) + 4*i(k). Factor m(n).
-3*(n - 2)*(3*n + 1)
Let l(b) be the third derivative of -b**6/360 - b**5/30 - b**4/6 - 4*b**3/9 + 5*b**2. Factor l(x).
-(x + 2)**3/3
Let q(y) = -y**3 + 11*y**2 + 26*y. Let b be q(13). Factor 1/3 + b*f**3 + 0*f + 1/3*f**4 - 2/3*f**2.
(f - 1)**2*(f + 1)**2/3
Let n = 2/221 + 874/1105. Suppose -18/5*f**2 - 2*f**3 + n + 2*f + 14/5*f**4 = 0. What is f?
-1, -2/7, 1
Suppose -2/3*n**2 + 0*n + 0 = 0. What is n?
0
Let c(v) be the third derivative of -v**4/24 - 7*v**3/3 - v**2. Let d be c(-14). Find z, given that 1/4*z**3 + 0*z + 1/4*z**2 + d = 0.
-1, 0
Factor 0*g**3 + 2/5*g**4 + 0*g**2 + 0*g - 2/5*g**5 + 0.
-2*g**4*(g - 1)/5
Suppose -2*r - 5 = 7. Let z(j) = -255*j**3 + 155*j**2 - 25*j + 7. Let h(d) = 127*d**3 - 77*d**2 + 13*d - 3. Let x(t) = r*z(t) - 15*h(t). What is p in x(p) = 0?
1/5
Let r(y) be the first derivative of -y**6/3 + y**4 - y**2 + 11. Suppose r(v) = 0. Calculate v.
-1, 0, 1
Let j = 1/2 - -1. Let l be (-15)/(-2)*1/5. Factor 1/2*u**3 - 1/2 - j*u**2 + l*u.
(u - 1)**3/2
Let 0*c**2 + 0 - 2/3*c**3 + 0*c = 0. Calculate c.
0
Solve -18*a**2 + 3*a**3 - 2*a**3 - a**4 + 6*a**2 - a**5 + 13*a**2 = 0 for a.
-1, 0, 1
Let d = -514/3 - -173. Let s(j) be the first derivative of 3/4*j**4 - j - 1 + 1/2*j**2 + d*j**3. Solve s(u) = 0 for u.
-1, 1/3
Let k be (6 + (3 - 5))/(-1). Let b(s) = -9*s**2 + 9*s + 7. Let n(a) = 5*a**2 - 5*a - 4. Let f(j) = k*b(j) - 7*n(j). Determine t, given that f(t) = 0.
0, 1
Suppose 8*b - 18 = -b. Let c(o) be the first derivative of 1/3*o**3 + 1/2*o**b - 1 + 0*o. Determine j so that c(j) = 0.
-1, 0
Let o(b) = -2*b**2 - b - 3. Let y(d) = -3*d**2 - d - 4. Suppose -22 = -5*f - 2. Let r(z) = f*o(z) - 3*y(z). Factor r(t).
t*(t - 1)
Let g(w) = -w - 1. Suppose -7*j = -4*j + 3. Let m be g(j). Factor -1/2*s**3 + 0*s + m + 1/4*s**2.
-s**2*(2*s - 1)/4
Find y such that -1/4*y - 1/2*y**4 + 0 + 1/2*y**2 + 1/4*y**5 + 0*y**3 = 0.
-1, 0, 1
Factor -3/4*k + 0 - 3/4*k**2.
-3*k*(k + 1)/4
Let r be (2 + -3)/(3/(-9)). Suppose 2*c**4 - 4*c**r + 3*c**3 + 0*c**2 + c**2 + 4*c**3 = 0. Calculate c.
-1, -1/2, 0
Find f such that -2*f - f**3 - 54 - 3*f**2 + 54 = 0.
-2, -1, 0
Let j(n) be the first derivative of -2*n**6/3 + 2*n**5 + n**4/2 - 14*n**3/3 + n**2 + 4*n - 7. Determine w so that j(w) = 0.
-1, -1/2, 1, 2
Let y = 1 + 3. Let s(l) be the second derivative of 1/15*l**6 - 1/21*l**7 + 1/10*l**5 - 3*l + 0*l**2 + 0*l**3 - 1/6*l**y + 0. Factor s(a).
-2*a**2*(a - 1)**2*(a + 1)
Let -12 - 18*x**2 - 3/4*x**4 + 6*x**3 + 24*x = 0. Calculate x.
2
Let i be 2/6*(-3 + 9). Suppose -i*w = -3*l + 8, 0*l + 4*w = 2*l - 8. Factor 1/4*t**l + 1/2*t + 0.
t*(t + 2)/4
Let b be 66/230 - ((-2510)/230 - -11). What is z in 0 - b*z**2 + 1/5*z**4 + 1/5*z - 1/5*z**3 = 0?
-1, 0, 1
Let b(q) be the first derivative of 2*q**5/5 + 3*q**4 + 26*q**3/3 + 12*q**2 + 8*q + 10. Let b(p) = 0. Calculate p.
-2, -1
Solve -13*z - 13*z**5 - z**4 + 26*z**3 - 2*z**4 + z**4 - 2 + 403*z**2 - 399*z**2 = 0.
-1, -2/13, 1
Let d be (1*1/2)/(2/12). Determine j so that 2/9*j + 2/9*j**d - 4/9*j**2 + 0 = 0.
0, 1
Factor 0 - 10/7*t**2 + 2/7*t.
-2*t*(5*t - 1)/7
Suppose 0*m + 42 = 6*m. Suppose -m*x = -x - 12. Let -27/5*j**4 + 1/5*j + 0 - 9/5*j**x + 27/5*j**3 = 0. What is j?
0, 1/3
Let o(c) = 2*c + 7 - c + c - 3*c. Let g be o(4). Solve 1/2*z**g + 0*z + 1/2*z**2 + 0 = 0.
-1, 0
Let t be 50*-5*(-2)/25. Let j be 8/t + 12/45. Factor 0 - 2/9*d - 2/3*d**3 - 2/9*d**4 - j*d**2.
-2*d*(d + 1)**3/9
Let i(g) = 20*g**5 - 40*g**4 + 56*g**2 - 20*g - 16. Let v(h) = 4*h**5 - 8*h**4 + 11*h**2 - 4*h - 3. Let d(p) = 3*i(p) - 16*v(p). Factor d(q).
-4*q*(q - 1)**3*(q + 1)
Let p(h) be the first derivative of h**3/5 + 6*h**2 + 60*h + 50. Determine f, given that p(f) = 0.
-10
Let i(z) be the second derivative of -z**8/5880 + z**7/1470 - z**5/210 + z**4/84 + z**3/2 + z. Let k(n) be the second derivative of i(n). Factor k(g).
-2*(g - 1)**3*(g + 1)/7
Let d(g) be the second derivative of -2*g**6/15 + 3*g**5/5 + 2*g**4/3 - 8*g**3 + 16*g**2 - 5*g + 3. Factor d(o).
-4*(o - 2)**2*(o - 1)*(o + 2)
Let p(h) = -h**2 + h + 1. Let k(f) = f**3 + 8*f**2 - 9*f - 7. Let v(z) = -3*k(z) - 21*p(z). Suppose v(n) = 0. What is n?
-2, 0, 1
Let h(f) be the third derivative of 2*f**7/105 - 2*f**5/15 + 2*f**3/3 - f**2. Factor h(g).
4*(g - 1)**2*(g + 1)**2
Let j(z) = z**2 + 24. Let a be j(0). Let t(m) = 2*m - 5. Let y be t(4). Solve 3*q**3 + 17*q**y - 45*q**2 + a*q - 4 + 5*q**3 = 0.
2/5, 1
Let g(v) be the first derivative of -7*v**4/54 - v**3/3 - 2*v**2/9 + 3*v + 3. Let q(x) be the first derivative of g(x). Find f such that q(f) = 0.
-1, -2/7
Let m(j) = -j**2 - 7*j + 11. Let q be m(-8). Let w be 1/(-2) - 2/(-4). Let 1/3*u + 9*u**4 + 3*u**2 + 9*u**q + w = 0. Calculate u.
-1/3, 0
Suppose 3*q - 3 = 0, 2*r + q = 3*q + 10. Let n be (-8)/(-6) - r/(-9). Factor -1/2*y**n - 1/2 + y.
-(y - 1)**2/2
Let l be (40/6)/5*(-9)/(-14). What is w in 18/7*w**3 - 20/7*w**4 + l*w**5 + 0 - 4/7*w**2 + 0*w = 0?
0, 1/3, 1, 2
Let v = 9 + -3. Suppose 3*i = 3*r, -3*r = -r - v. Factor 0*n**i - 4/3*n**2 + 2/3*n**5 - 2/3*n + 0 + 4/3*n**4.
2*n*(n - 1)*(n + 1)**3/3
Let c = -8 + 13. Let l(w) = w**4 - w**3 + w**2 