c?
-1, 0
Let v(z) be the first derivative of 2*z**7/105 - z**6/15 + z**5/15 + 5*z**2/2 + 2. Let s(u) be the second derivative of v(u). Suppose s(p) = 0. What is p?
0, 1
Let r = -1 + 4. Let l be (-1 + 5/(-10))*12/(-9). Factor 0*n**4 + 0*n + 0 - 2/9*n**5 + 0*n**l + 2/9*n**r.
-2*n**3*(n - 1)*(n + 1)/9
Let k(x) be the third derivative of x**6/420 + x**5/42 + x**4/28 - 3*x**3/7 + 2*x**2. Suppose k(z) = 0. Calculate z.
-3, 1
Solve -o**5 + 0*o - 1/3*o**2 + o**3 + 0 + 1/3*o**4 = 0.
-1, 0, 1/3, 1
Let w = -4 - -13. Let -12*c**5 + 4*c + w*c**3 - 16*c**4 + c**4 + 5*c**2 - c + 10*c**2 = 0. Calculate c.
-1, -1/4, 0, 1
Let d = -968 - -968. Factor 0 + 2/9*v**2 + d*v + 0*v**4 + 1/9*v**5 - 1/3*v**3.
v**2*(v - 1)**2*(v + 2)/9
Let t be 1/1 - (-5 + 2). Factor -j**2 + t*j**2 + 2*j - 5*j**2.
-2*j*(j - 1)
Suppose -24*j - 6 = -102. Factor -26/3*x**2 - 40/3*x**3 - 6*x**j - 4/3*x + 0.
-2*x*(x + 1)**2*(9*x + 2)/3
Let u(y) = 2*y**4 - y**3 + 3*y**2 + 3*y. Let l(k) = -5*k**4 + 3*k**3 - 6*k**2 - 7*k. Let s(j) = -3*l(j) - 7*u(j). Factor s(f).
f**2*(f - 3)*(f + 1)
Let v(n) be the third derivative of n**6/60 - n**5/30 - n**4/12 + n**3/3 - 2*n**2. Factor v(d).
2*(d - 1)**2*(d + 1)
Suppose -5*x = -8 - 2. Let a = -199/56 - -33/8. Factor 0 - a*f**x + 2/7*f**3 + 2/7*f.
2*f*(f - 1)**2/7
Let c(q) be the second derivative of 49*q**6/60 - 7*q**5/15 - q**4/3 + 8*q**3/21 + q**2 - q. Let t(n) be the first derivative of c(n). Solve t(i) = 0 for i.
-2/7, 2/7
Let h(s) be the second derivative of -s**7/147 - s**6/105 + s**5/35 - 34*s. Solve h(i) = 0 for i.
-2, 0, 1
Let v = -541 - -545. Solve -3*h**v + 0 + 3*h**5 + 3*h**2 - 9/4*h**3 - 3/4*h = 0.
-1, 0, 1/2, 1
Let l(z) be the first derivative of -z**6/15 - z**5/5 + 4*z - 1. Let s(h) be the first derivative of l(h). Find y, given that s(y) = 0.
-2, 0
Factor 8/3 + 2/3*c**2 - 10/3*c.
2*(c - 4)*(c - 1)/3
Let p(z) = -1. Let g(n) = -5*n**2 + 10*n - 10. Let f(i) = -g(i) + 10*p(i). Factor f(b).
5*b*(b - 2)
Find y, given that 0*y + 0 - 10/7*y**3 - 4/7*y**2 = 0.
-2/5, 0
Let w(x) be the second derivative of 3*x**6/70 + 6*x**5/35 + 3*x**4/14 - 3*x**2/14 - 13*x. Solve w(y) = 0.
-1, 1/3
Let c = -34 + 51. Solve -6*y**3 - 4 + 24*y**3 + 3*y - 3*y + c*y**2 + 5*y**4 = 0 for y.
-2, -1, 2/5
Let x = 3390 - 23680/7. Solve 0*s + x*s**5 - 32/7*s**3 + 0 + 10/7*s**4 + 8/7*s**2 = 0 for s.
-1, 0, 2/5
Let h be (-38)/(-30) + 6/(-10). Factor 0 - h*b**2 + 0*b - 7/3*b**3.
-b**2*(7*b + 2)/3
Let s(g) be the first derivative of -2/3*g**3 + 2*g**2 - 8/3*g + 1/12*g**4 - 5. Factor s(w).
(w - 2)**3/3
Let w = -69/34 - -60/17. Let p(k) be the second derivative of 0 - 4*k + 3/2*k**3 + w*k**2 - k**4. Let p(z) = 0. What is z?
-1/4, 1
Suppose 0*g + 0 - 3/4*g**2 - 3/2*g**3 - 3/4*g**4 = 0. What is g?
-1, 0
Let d = 27 - 17. Let o = 16 - d. Factor -5*r**3 + 0*r**2 - r**3 + 3*r**5 + o*r**4 + 2*r**2 - 5*r**5.
-2*r**2*(r - 1)**3
Suppose -4 = k - 3*k. Factor k*f**3 - 4 + 2*f**2 - 2*f + 1 + 1 + 0*f**2.
2*(f - 1)*(f + 1)**2
Suppose 2*w + 55 = 5*i - 2*w, i - 3*w = 22. Let g = i - 3. Factor -u**3 + 0*u**4 + 0*u**g + u**4.
u**3*(u - 1)
Let u(q) be the third derivative of -q**7/315 - 16*q**2. Factor u(r).
-2*r**4/3
Factor 2*u**4 + 20*u**3 - 25*u**3 + 3*u**4.
5*u**3*(u - 1)
Factor 0*r - 1/4*r**2 + 1/4*r**4 + 0*r**3 + 0.
r**2*(r - 1)*(r + 1)/4
Let y(b) = b**2 + 10*b + 16. Let d be y(-8). Factor d*z + 0 + 0*z**4 + 0*z**2 - 2/3*z**5 + 2/3*z**3.
-2*z**3*(z - 1)*(z + 1)/3
Factor -29*t - 1 + 29*t + t**2.
(t - 1)*(t + 1)
Let r = -147 + 445/3. Let v(g) = g + 12. Let h be v(-10). Factor -2/3 - 2/3*y**h + r*y.
-2*(y - 1)**2/3
Let j be 6/15 + (-56)/(-10). Let g be 2 - 2/j*0. Factor 0*v**2 + 2*v + g*v**2 - v**2 + 1.
(v + 1)**2
Let f be 0/(144/56 - 3/(-7)). Factor 1/4*q**4 - 1/2*q**2 + 1/4*q**3 + 0*q + f.
q**2*(q - 1)*(q + 2)/4
Let d(o) = 7*o**5 - 7*o**4 - 3*o**3 + 3*o**2. Let r(f) = -20*f**5 + 20*f**4 + 8*f**3 - 8*f**2. Let p(z) = 8*d(z) + 3*r(z). Solve p(y) = 0.
0, 1
Let s = 1 + 2. Suppose 4*w**2 + 16*w + 6*w**2 - 3*w**3 + 11 + 5*w**3 - s = 0. Calculate w.
-2, -1
Let v(o) = 5*o**2 - 3*o + 4. Let f(x) = x**2 + x. Let g(w) = -6*f(w) + 2*v(w). Factor g(m).
4*(m - 2)*(m - 1)
Let s(k) = -2*k**2 - 3 + 3*k**2 + 1 + 4*k. Let c(u) = -u**3 + 8*u**2 - 7*u + 1. Let f be c(7). Let t(y) = -y**2 - 1. Let l(d) = f*s(d) + 2*t(d). Solve l(a) = 0.
2
Factor 2/9*s**2 + 2/9 - 4/9*s.
2*(s - 1)**2/9
Let g(v) be the first derivative of v**6/12 - 3*v**5/10 + 3*v**4/8 - v**3/6 + 1. Factor g(u).
u**2*(u - 1)**3/2
Factor 9*o**2 - 44 - 24*o + 56 + 3*o**2 + 3*o**2 - 3*o**3.
-3*(o - 2)**2*(o - 1)
Let x be (-4)/(-12) + -3 + 3. Solve 0 - x*f**2 + 1/3*f = 0.
0, 1
Let s be 9/3 - 152/(-16). Determine k so that -45/2*k**3 - 12*k**2 + 0 - s*k**4 - 2*k = 0.
-1, -2/5, 0
Suppose -3 = -c - 4*d, 0 = 4*c - c + 5*d - 9. Suppose 18/7*m**c + 48/7*m**2 + 26/7*m + 4/7 = 0. Calculate m.
-2, -1/3
Suppose 4*v + 4*d = 16, 6*d = 5*v + 2*d - 29. Let q(n) = n**3 - 6*n**2 + 6*n - 3. Let f be q(v). Determine g so that 5*g + g - 4*g - 2*g**f + 0*g**2 = 0.
0, 1
Let h(z) be the second derivative of -19/50*z**5 - 1/35*z**7 - 2/15*z**3 + 3*z + 0 + 11/30*z**4 + 0*z**2 + 13/75*z**6. Suppose h(l) = 0. What is l?
0, 1/3, 1, 2
Suppose 30 - 10 = 5*l. Let v = 7 - 5. What is d in 4*d - 6*d + 2*d**4 - v*d**2 + 0*d**l + 2*d**3 + 0*d**3 = 0?
-1, 0, 1
Let y(k) be the third derivative of k**6/480 - k**4/96 - 16*k**2. Find d such that y(d) = 0.
-1, 0, 1
Suppose -1/2*t**3 + 6*t**4 + 5/2*t**5 - 2*t - 6*t**2 + 0 = 0. Calculate t.
-2, -1, -2/5, 0, 1
Solve 7/2*c**3 - 1/2*c**4 - 9*c**2 - 4 + 10*c = 0.
1, 2
Solve -4/7*q**4 - 12/7*q**3 - 4/7*q - 12/7*q**2 + 0 = 0.
-1, 0
Let b be ((-3)/(-510))/(4/(-10)). Let q = 277/340 + b. Suppose 2*t**5 + 16/5*t**4 + 0 - q*t**2 + 0*t + 2/5*t**3 = 0. Calculate t.
-1, 0, 2/5
Let k be 1/2 - 11/70. Let r = k - -9/35. Determine w, given that 2/5 - 3/5*w + r*w**3 - 2/5*w**2 = 0.
-1, 2/3, 1
Suppose -51*v = -46*v - 30. Let r(g) be the third derivative of 0*g + 2*g**2 + 1/420*g**v - 1/70*g**5 + 0 + 1/28*g**4 - 1/21*g**3. Factor r(w).
2*(w - 1)**3/7
Let x(s) be the first derivative of -s**4/4 + s**2/2 + 11. Find u, given that x(u) = 0.
-1, 0, 1
Suppose 4*b**2 + 30*b - 9*b**2 - 4*b**2 - 16*b**2 - 5*b**3 = 0. What is b?
-6, 0, 1
Suppose 3*n = -0*n. Suppose n = 3*v + 5 - 11. Factor -22/5*o - 18/5*o**v - 4/5.
-2*(o + 1)*(9*o + 2)/5
Let x(w) = w**4 + 5*w**3 + 4*w**2 - 2. Let o(n) = -2*n**4 - 11*n**3 - 9*n**2 + 5. Let f(u) = -6*o(u) - 15*x(u). Determine l so that f(l) = 0.
-2, -1, 0
Suppose -k + 5 - 1 = 0. Suppose -16 + 0 = -k*c, 4*n + c = 24. Find v such that v**5 + v**4 - 3*v**5 - 3*v**n + 4*v**5 = 0.
0, 1
Let g(x) = -10*x**2 + 0*x**3 - x**3 + 9*x**2 + 1 + x. Let q(y) = 7*y**3 + 3*y**2 - 6*y - 2. Let d(z) = 6*g(z) + q(z). Factor d(w).
(w - 2)**2*(w + 1)
Find f such that 6/5*f**2 + 0 + 4/5*f = 0.
-2/3, 0
Determine k, given that -3/2*k + 0*k**2 + 1/2*k**3 - 1 = 0.
-1, 2
Factor -6/11*h**3 - 42/11*h + 18/11 - 34/11*h**2.
-2*(h + 3)**2*(3*h - 1)/11
Let a(v) = 12*v + 86. Let n be a(-7). Solve 2/3*r**n + 0 - 2/3*r**3 + 0*r = 0 for r.
0, 1
Let f = 46 - 42. Let a(q) be the third derivative of -1/945*q**7 - 3*q**2 - 1/108*q**f + 1/270*q**5 + 0 + 0*q**3 + 1/540*q**6 + 0*q. What is r in a(r) = 0?
-1, 0, 1
Let u(l) be the third derivative of 0 - 5/9*l**4 + 0*l + 4/9*l**3 + 3*l**2 + 5/18*l**5. Factor u(v).
2*(5*v - 2)**2/3
Let a = -62 + 63. Factor -a + 3/2*r - 1/2*r**2.
-(r - 2)*(r - 1)/2
Let c(j) be the first derivative of -j**5/150 + j**4/30 - j**3/15 - 3*j**2/2 + 2. Let s(i) be the second derivative of c(i). Factor s(u).
-2*(u - 1)**2/5
Let y(k) be the third derivative of k**5/75 + k**4/15 + 2*k**3/15 - k**2. Solve y(z) = 0 for z.
-1
Let m = 6 + -6. Let l(t) be the second derivative of 0*t**3 - 1/210*t**7 - t - 1/100*t**5 + m*t**4 - 1/75*t**6 + 0 + 0*t**2. Factor l(g).
-g**3*(g + 1)**2/5
Let t(y) be the first derivative of -3 + 0*y**2 + 1/7*y - 1/21*y**3. Factor t(l).
-(l - 1)*(l + 1)/7
Suppose 2*f - 4 = 6. Let r(g) = 5*g**2 + 0*g**2 - 7*g**3 - f + g**3. Let l(u) = 5*u**3 - 4*u**2 + 4. Let y(x) = -5*l(x) - 4*r(x). Suppose y(p) = 0. What is p?
0
Suppose -3*c = n + 7, -2*c = -2*n + 3*c + 30. Suppose 0 = -0*d - n*d. Find f such that -1/2*f**3 + 0*f**2 - 1/4*f**4 + d + 0*f + 3/4*f**5 = 0.
-2/3, 0, 1
Let u(r) be the first derivative of 12*r**5/35 + r**4/7 - 4*r**3/7 - 2*r**2/7 - 14. Determi