(y) = 0.
-2, 0
Let y(p) be the third derivative of -p**9/432 + p**8/840 - p**3/3 - 2*p**2. Let t(w) be the first derivative of y(w). Factor t(f).
-f**4*(7*f - 2)
Let z(y) be the first derivative of -y**8/3360 + y**6/720 - 2*y**3/3 + 4. Let b(i) be the third derivative of z(i). Factor b(h).
-h**2*(h - 1)*(h + 1)/2
Let w be (-72)/384*(-2)/3. Let y(d) be the third derivative of d**3 + 0*d - w*d**4 + 0 - 1/20*d**5 + 2*d**2. What is j in y(j) = 0?
-2, 1
Let q(d) be the third derivative of 5*d**7/84 - d**6/8 - 2*d**5/15 + 5*d**4/8 - 3*d**3/4 - 42*d**2. Solve q(a) = 0 for a.
-1, 3/5, 1
Suppose -15*l = -11*l - 8. Suppose -4*i = -z - 3*i, 2*i = -3*z + 10. Let -w**3 + z*w**2 - 6*w**4 - 3*w**5 + 2*w**4 - 2*w**l = 0. What is w?
-1, -1/3, 0
Let j(l) be the first derivative of 3*l**5/40 + 9*l**4/8 + 27*l**3/4 + 81*l**2/4 - 6*l + 10. Let i(y) be the first derivative of j(y). Factor i(z).
3*(z + 3)**3/2
Let d(u) be the second derivative of -u**4/15 + 8*u**2/5 - 3*u. Factor d(g).
-4*(g - 2)*(g + 2)/5
Let o(v) be the third derivative of v**8/1512 + 2*v**7/945 - v**6/270 - 2*v**5/135 + v**4/108 + 2*v**3/27 + 4*v**2. Suppose o(p) = 0. Calculate p.
-2, -1, 1
Let n(w) = 15*w**3 + 30*w**2 + 10*w - 5. Let r(b) = b**4 - 14*b**3 - 31*b**2 - 10*b + 6. Let k(m) = -6*n(m) - 5*r(m). Let k(y) = 0. Calculate y.
-2, -1, 0
Let b = -60 - -65. Let r(l) be the third derivative of -1/180*l**b + 1/72*l**4 - 2*l**2 + 0*l + 0 + 0*l**3 - 1/180*l**6. Let r(m) = 0. Calculate m.
-1, 0, 1/2
Let q(c) be the first derivative of -c**6/30 + c**5/5 - 2*c**4/5 + 4*c**3/15 - 13. What is o in q(o) = 0?
0, 1, 2
Let f(x) be the first derivative of -x**4 - 32*x**3/3 - 42*x**2 - 72*x - 27. Solve f(p) = 0.
-3, -2
Let v(u) be the second derivative of u**4/54 - 4*u**3/27 + u**2/3 + 6*u. Solve v(i) = 0 for i.
1, 3
Let d be -3 - 4/(-48)*37. Let c(u) be the second derivative of d*u**4 - 1/4*u**2 - 1/60*u**6 - u - 1/84*u**7 - 1/12*u**3 + 1/20*u**5 + 0. Factor c(v).
-(v - 1)**2*(v + 1)**3/2
Suppose 0*u + 4/5 - 1/5*u**2 = 0. What is u?
-2, 2
Let w(f) be the first derivative of f**6/6 - 2*f**5/5 - f**4 + 8*f**3/3 + 48. Determine o so that w(o) = 0.
-2, 0, 2
Let u(j) be the third derivative of j**8/6720 - j**6/720 + j**4/8 + j**2. Let c(n) be the second derivative of u(n). Determine a, given that c(a) = 0.
-1, 0, 1
Let v(a) = a**3 - 18*a**2 + 18*a - 14. Let w(d) = -d**2 - 7*d + 17. Let c be w(-7). Let r be v(c). Solve 0 + y**r - 1/3*y + 2/3*y**2 = 0 for y.
-1, 0, 1/3
Factor -3*h + 110*h**2 + 6*h - 107*h**2.
3*h*(h + 1)
Suppose r = -0*r + 4. Let -3/2*q - 1 + 17/2*q**2 - 3/2*q**r + 2*q**5 - 13/2*q**3 = 0. Calculate q.
-2, -1/4, 1
Let j(y) be the first derivative of -2*y**3/39 - 3*y**2/13 + 1. Factor j(z).
-2*z*(z + 3)/13
Determine z, given that 1/3*z**3 - 1/3 - 1/3*z + 1/3*z**2 = 0.
-1, 1
Let w(u) be the first derivative of -u**5 + 15*u**4/2 - 20*u**3 + 20*u**2 - 19. Factor w(j).
-5*j*(j - 2)**3
Let k be (-333)/2*6/(-9). Let g = -775/7 + k. Factor 4/7*w**2 - 4/7*w**4 - g*w + 0 + 2/7*w**5 + 0*w**3.
2*w*(w - 1)**3*(w + 1)/7
Factor 1/10*f + 0 + 0*f**2 - 1/10*f**3.
-f*(f - 1)*(f + 1)/10
Let v be 12/(-4) + 1*2. Let g = 4/3 + v. Factor 0*f**2 + 0 - g*f**3 + 1/3*f.
-f*(f - 1)*(f + 1)/3
Let b(d) be the second derivative of 1/4*d**4 - 3*d + 1/2*d**3 + 0 + 0*d**2. Factor b(y).
3*y*(y + 1)
Let x be -1 + (-4)/((-20)/7). Suppose 0 = 5*g - 3 - 17. Suppose 2/5*f + 0 - 2/5*f**3 + x*f**2 - 2/5*f**g = 0. Calculate f.
-1, 0, 1
Let i(w) = -w**3 - w**2 + w + 6. Let j be i(0). Let q = -3 + j. Factor -2*y - q*y**2 - 2*y**3 + 4*y + 3*y**3.
y*(y - 2)*(y - 1)
Let x(t) = -t**3 + t**2 - 5*t - 1. Let u(r) = -4*r. Let d(p) = 6*u(p) - 4*x(p). Factor d(i).
4*(i - 1)**2*(i + 1)
Factor 57*x + 32*x + 52*x + 65*x**2 + 45 - 21*x + 10*x**3.
5*(x + 3)**2*(2*x + 1)
Let b be (-4)/10 - (-1442)/(-20). Let r = b + 74. Factor p**2 + 1/2 + r*p.
(p + 1)*(2*p + 1)/2
Let q(j) be the second derivative of j**5/20 - j**4/4 + j**3/2 - j**2/2 + j - 16. What is t in q(t) = 0?
1
Let j(u) be the second derivative of 1/15*u**6 + 0*u**3 + 0 + 0*u**5 - 1/6*u**4 + 0*u**2 + 3*u. Factor j(v).
2*v**2*(v - 1)*(v + 1)
Factor -2560 - 2*k**5 - 4600*k**2 - 921*k**3 - 6080*k - 3*k**5 - 130*k**4 - 284*k**3.
-5*(k + 1)**2*(k + 8)**3
Suppose 5*y - 8*y + 6 = 0. Suppose -i = y*i - 12. Find m, given that 2*m - m - 4*m**2 + 4 + 3*m**3 - i = 0.
0, 1/3, 1
Let x(n) be the second derivative of 49*n**5/130 - 7*n**4/39 + n**3/39 - 6*n. Factor x(v).
2*v*(7*v - 1)**2/13
Let f(q) = q**4 + q**3 + 2*q**2 + 4*q - 3. Let d(t) = -t**4 - t**3 - t**2 - 3*t + 2. Let u(a) = -5*d(a) - 4*f(a). Factor u(j).
(j - 1)**2*(j + 1)*(j + 2)
Let q(x) be the second derivative of -x**5/210 + 13*x**4/126 - 15*x - 2. Factor q(s).
-2*s**2*(s - 13)/21
Let j(g) be the first derivative of -g**5/330 - g**4/33 - 4*g**3/33 - g**2/2 - 2. Let z(o) be the second derivative of j(o). Factor z(r).
-2*(r + 2)**2/11
Find f, given that -2/5*f**2 + 8/5 - 6/5*f = 0.
-4, 1
Let g(z) = 2*z**4 + 4*z**3 + 10*z**2 + 2*z - 6. Let a(t) = t**4 + 4*t**3 + 9*t**2 + t - 5. Let c(m) = 6*a(m) - 5*g(m). Find w, given that c(w) = 0.
-1, 0, 1
Factor -5*o**3 + 7*o**4 - 9*o**4 + o**5 - 45*o**2 + 108 + 7*o**4.
(o - 2)**2*(o + 3)**3
Let k(f) be the third derivative of -f**7/1050 + f**6/200 + f**5/60 - f**4/40 - 2*f**3/15 - 44*f**2. Factor k(g).
-(g - 4)*(g - 1)*(g + 1)**2/5
Let m(x) be the first derivative of -1/60*x**5 + 1/36*x**4 + x + 0*x**2 - 4 + 0*x**3. Let g(q) be the first derivative of m(q). Determine c so that g(c) = 0.
0, 1
Suppose -2*q + 3*q - 4 = -2*x, 0 = -q + 3*x + 4. Suppose 32 = q*h - 28. What is y in 15 + y**4 - h = 0?
0
Let o be (9 - 3)/(6/4). Factor 1 - 2*n + 6*n**2 - 5*n**3 + 6*n + 5*n**3 + o*n**3 + n**4.
(n + 1)**4
Let o(m) = -m**3 - 8*m**2 - 10*m - 5. Let d be o(-8). Suppose -8*x - 16*x**3 + 6*x**3 + 16*x**2 + 2*x**4 - 75 + d = 0. Calculate x.
0, 1, 2
Let x(n) be the second derivative of -125/21*n**6 - 25/7*n**4 + n + 50/7*n**5 + 20/21*n**3 - 1/7*n**2 + 0. Find k, given that x(k) = 0.
1/5
Suppose 0 = -4*p + 19 - 11. Factor 0*h**2 + 5*h**3 - h + 2*h**p - 6*h**3.
-h*(h - 1)**2
Factor -b**4 - 6*b**2 - b**3 - 153*b - 15*b**3 + 157*b - 5*b**4.
-2*b*(b + 1)*(b + 2)*(3*b - 1)
Suppose 4*k = -0*u + 3*u + 6, 1 = 5*u - 3*k. Let g(x) be the first derivative of x**4 + u*x**3 - 1 + x + 2*x**2 + 1/5*x**5. Factor g(n).
(n + 1)**4
Let l(o) = o**3 - o**2 + o + 1. Let v(k) = 8*k**3 + 10*k**2 + 29*k + 17. Let p(s) = -5*l(s) + v(s). Suppose p(r) = 0. What is r?
-2, -1
Let w(y) = y**3 - y**2 + y - 2. Let v be w(2). What is k in -3*k**3 + 12*k**3 - 12*k**2 + 9*k**3 - 8*k**v + 2*k = 0?
0, 1/4, 1
Let r(f) be the first derivative of -f**7/315 - f**6/180 - 3*f**2/2 - 1. Let d(g) be the second derivative of r(g). Find p such that d(p) = 0.
-1, 0
Let a(x) be the first derivative of 1 + 0*x + x**2 + 11*x**4 + 3*x**6 - 16/3*x**3 - 48/5*x**5. Find j such that a(j) = 0.
0, 1/3, 1
Let d(v) = -v. Let j be d(-9). Let c(f) be the first derivative of -8/3*f**3 + 1 + j*f**2 - 4*f. Factor c(h).
-2*(h - 2)*(4*h - 1)
What is y in 8/3 + 2/3*y**2 - 10/3*y**4 - 11/2*y**3 - 1/2*y**5 + 6*y = 0?
-4, -2, -1, -2/3, 1
Suppose -3*t + 5*j + 20 = 0, -2*t - 5*j = -t + 20. Let x(s) be the first derivative of -1/18*s**4 + t*s + 0*s**3 - 2 + 0*s**2. Suppose x(h) = 0. Calculate h.
0
Suppose -36 = -12*u + 3*u. Factor -2/5*k**u - 2/5*k**5 + 4/5*k**2 + 4/5*k**3 - 2/5*k - 2/5.
-2*(k - 1)**2*(k + 1)**3/5
Let r(v) be the third derivative of v**6/30 + 2*v**5/15 + v**4/4 + v**3 + v**2. Let z(u) = u**3 + u**2 + u + 1. Let q(t) = r(t) - 6*z(t). Factor q(a).
-2*a**2*(a - 1)
Let w be -1 - (-6 - -2 - -1). Factor -1/3*g + 0 + 1/3*g**w.
g*(g - 1)/3
Let a(j) be the second derivative of -j**4/30 - j**3/5 - 2*j**2/5 - 45*j. Factor a(o).
-2*(o + 1)*(o + 2)/5
Suppose 14/23*g**2 + 18/23*g**3 + 0 + 2/23*g**5 + 10/23*g**4 + 4/23*g = 0. Calculate g.
-2, -1, 0
Let o(k) be the third derivative of -11*k**6/40 - 6*k**5/5 - 15*k**4/8 - k**3 + 10*k**2. Factor o(m).
-3*(m + 1)**2*(11*m + 2)
Let u be ((-312)/9)/(-8) + (-2)/6. Let w(b) be the first derivative of -3/10*b**2 - 3/5*b + 3 + 1/5*b**3 + 3/20*b**u. Factor w(l).
3*(l - 1)*(l + 1)**2/5
Let w = 467/198 - 3/22. What is o in -4/9*o**4 + 2/3*o**5 + 8/3*o**2 - w*o**3 - 2/9*o - 4/9 = 0?
-2, -1/3, 1
Let p be 66/24 - 1/(-4). Let a(s) be the first derivative of -4/7*s + 3/7