n that -j*i**4 + 2/3*i**2 + 2/3*i**5 + 0*i + 0 - 2/3*i**3 = 0.
-1, 0, 1
Let r be -2*(-63)/660 - 0. Let k = 1/110 + r. Solve -1/5*h**4 - k*h + 1/5*h**3 + 0 + 1/5*h**2 = 0 for h.
-1, 0, 1
Suppose -15 = 5*n, 0 = -5*i - 2*n - 0*n + 624. Let b be (-28)/49 - (-100)/i. Find k such that -2/9 + 2/9*k - 2/9*k**3 + b*k**2 = 0.
-1, 1
Let k(f) be the first derivative of -f**3/6 + 7. Solve k(i) = 0.
0
Let m be 1/5 + 28/10. Let o(v) be the first derivative of -2/15*v**3 + m - 1/5*v**2 + 2/25*v**5 + 1/10*v**4 + 0*v. Solve o(n) = 0 for n.
-1, 0, 1
Let b(a) be the third derivative of 0*a**4 + 0*a**3 + 0 + 8/525*a**7 + 1/240*a**8 + a**2 + 0*a + 1/150*a**5 + 11/600*a**6. Let b(h) = 0. Calculate h.
-1, -2/7, 0
Suppose -2*a + 1 + 3 = 0. Let -4*b + 2*b + 2*b**2 + 6*b - a*b = 0. Calculate b.
-1, 0
Let m(j) = j**3 + j**2 + 2*j. Let w(g) = -2*g**3 - 2*g**2 - 5*g. Suppose 0 = v - 6*v - 20. Let y(q) = v*w(q) - 10*m(q). Factor y(a).
-2*a**2*(a + 1)
Let z(t) be the third derivative of t**6/540 - t**5/270 - t**4/27 + 4*t**3/27 + 23*t**2. Determine r so that z(r) = 0.
-2, 1, 2
Let a(c) be the third derivative of -6*c**2 + 0*c - 1/9*c**3 + 1/72*c**4 + 1/180*c**5 + 0. Factor a(w).
(w - 1)*(w + 2)/3
Let f = 40 - 40. Let t(b) be the second derivative of 0*b**3 + 1/10*b**5 + 0*b**2 - b + f + 0*b**4. Factor t(n).
2*n**3
Let o = 204 + -608/3. Factor -10/3*t - 2/3*t**3 + 8/3*t**2 + o.
-2*(t - 2)*(t - 1)**2/3
Factor 9/4*p**2 + 3/4 - 3/4*p**3 - 9/4*p.
-3*(p - 1)**3/4
Let i = -2597/9 - -289. Let c be (-840)/(-135) + 12/(-2). Find x such that c*x**2 - 2/3*x + i = 0.
1, 2
Let u(j) = 3*j**2 + 2 + 2 - 5 + j**2. Let m be u(1). Factor 0*i + 1/4*i**m + 1/4*i**2 + 0.
i**2*(i + 1)/4
Factor 2*d**3 + 8*d**2 - 58*d - 1 + 66*d + 1.
2*d*(d + 2)**2
Let w(l) be the second derivative of 0 + 4/3*l**2 + 0*l**3 - 19/18*l**4 + 2/5*l**6 + 1/10*l**5 + l. Solve w(b) = 0 for b.
-1, -1/2, 2/3
What is t in 2/5*t**2 - 2/15*t**5 + 2/3*t**3 - 2/5*t**4 - 8/15*t + 0 = 0?
-4, -1, 0, 1
Let n = 143 - 137. Factor n - 4*b + 2/3*b**2.
2*(b - 3)**2/3
Suppose -2*a = 11*a - 26. Factor -3/2 - b**a + 7/2*b.
-(b - 3)*(2*b - 1)/2
Let a(d) be the first derivative of d**4/10 + 4*d**3/15 + d**2/5 + 9. What is q in a(q) = 0?
-1, 0
Let n(a) = a**3 + 14*a**2 + 26*a + 27. Let h be n(-12). Factor 0*r - 1/2 + r**2 + 0*r**h - 1/2*r**4.
-(r - 1)**2*(r + 1)**2/2
Let s(o) = o**2 - 6*o - 4. Let a(x) = x**2 - 3*x + 3. Let q be a(4). Let g be s(q). Factor -1/2*v**g - 1/2*v**2 + 1/2*v + 0 + 1/2*v**4.
v*(v - 1)**2*(v + 1)/2
Let g(y) = -35*y**4 - 60*y**3 - 17*y**2 + 12*y - 2. Let k(o) = -595*o**4 - 1020*o**3 - 290*o**2 + 205*o - 35. Let t(v) = 35*g(v) - 2*k(v). Factor t(j).
-5*j*(j + 1)**2*(7*j - 2)
Let f(z) be the first derivative of z**7/840 - z**5/120 + z**3/24 - 3*z**2 + 1. Let d(k) be the second derivative of f(k). Factor d(x).
(x - 1)**2*(x + 1)**2/4
Let j(l) be the first derivative of -l**8/1008 - l**7/315 - l**6/360 - 2*l**2 + 3. Let h(q) be the second derivative of j(q). Find c such that h(c) = 0.
-1, 0
Factor 29*m**5 - 8*m**2 + 4 - 4*m**3 - 4*m - 33*m**5 + 12*m**3 + 4*m**4.
-4*(m - 1)**3*(m + 1)**2
Let p = 39 - 189/5. Factor -p*d + 4/5 - 4/5*d**2.
-2*(d + 2)*(2*d - 1)/5
Suppose -2*b = 3*b - 10. Suppose 15*h**4 - 3 + 15*h - 6*h**3 - 18*h**b + 6*h**4 - 11*h**5 + 2*h**5 = 0. What is h?
-1, 1/3, 1
Let s = -7 + 9. Factor 0 - 1 - 2*z**2 + z**3 - 2*z**s - 1 + 5*z.
(z - 2)*(z - 1)**2
Let n(v) be the third derivative of v**6/150 - v**5/75 + 11*v**2. Factor n(d).
4*d**2*(d - 1)/5
Let a(p) be the third derivative of p**7/735 + p**6/420 - p**5/210 - p**4/84 + 6*p**2. Factor a(g).
2*g*(g - 1)*(g + 1)**2/7
Let i = -89/90 - -11/10. Let u(x) be the first derivative of i*x**2 + 0*x + 0*x**3 - 1/9*x**4 + 1 + 1/27*x**6 + 0*x**5. Suppose u(n) = 0. What is n?
-1, 0, 1
Let m(d) be the third derivative of d**6/900 - d**5/300 - d**3/6 - 3*d**2. Let f(u) be the first derivative of m(u). Suppose f(i) = 0. What is i?
0, 1
Solve i**2 + 0 + 0*i + 1/6*i**3 = 0 for i.
-6, 0
Factor 0 + 2/7*l**2 + 2/7*l.
2*l*(l + 1)/7
Let a be 1 + (6 + -12)/(-12). Let o be 2/(-3)*6/(-1). Find b, given that 0 - 3/2*b**2 + 1/2*b + a*b**3 - 1/2*b**o = 0.
0, 1
Let c(i) be the second derivative of i**4/6 + 6*i. Let c(v) = 0. Calculate v.
0
Let d(z) be the third derivative of -z**6/120 + z**5/60 + z**4/24 - z**3/6 + 4*z**2. Let d(n) = 0. Calculate n.
-1, 1
Let y(b) be the first derivative of b**4/12 + 5*b**3/9 - 16*b**2/3 + 12*b + 35. What is a in y(a) = 0?
-9, 2
Let d(k) = 6*k**2 - 4*k. Let u(r) = -r**2. Let q(i) = d(i) + 2*u(i). Let q(j) = 0. What is j?
0, 1
Let v(j) be the second derivative of j**7/105 - j**6/25 + j**5/50 + j**4/10 - 2*j**3/15 - 12*j. Find p such that v(p) = 0.
-1, 0, 1, 2
What is g in 4*g**3 - 9*g**4 - g**2 + 10*g**2 - 9*g**5 + 3*g**3 + g + g = 0?
-1, -2/3, -1/3, 0, 1
Let d(h) be the first derivative of 2/11*h**2 + 2 + 1/66*h**4 - 2*h + 1/11*h**3. Let s(a) be the first derivative of d(a). Factor s(b).
2*(b + 1)*(b + 2)/11
Factor -2/3*u**3 - 2/3*u - 4/3*u**2 + 0.
-2*u*(u + 1)**2/3
Find h such that -28*h - 3 + 5*h**2 + 29*h + 2 - h**3 - 4*h**2 = 0.
-1, 1
Let p be (-604)/(-195)*(-8)/16. Let x = 2/39 - p. Factor -4/5 - 2/5*q**3 - x*q**2 - 2*q.
-2*(q + 1)**2*(q + 2)/5
Let q(w) be the second derivative of 25*w**4/6 + 20*w**3/3 + 4*w**2 + 9*w. Let q(p) = 0. What is p?
-2/5
Determine z, given that 0*z + 3*z + 4*z**2 - 6*z**2 - z**2 = 0.
0, 1
Suppose -2*g - f = -2*f - 3, -4*f + 12 = 4*g. Factor -14*v**3 - 4 - 16*v**3 - 2*v + 6*v**2 + 32*v**3 - g*v**4.
-2*(v - 2)*(v - 1)*(v + 1)**2
Suppose 0 = 2*l + 11 - 1. Let p(g) = 3*g**3 - 2*g**2 + 4*g - 4. Let c(b) = -4*b**3 + 2*b**2 - 5*b + 5. Let y(r) = l*p(r) - 4*c(r). Factor y(h).
h**2*(h + 2)
Suppose -m + 1 + 4 = 0. Suppose 5*p = -25, 4*s + 4*p + 11 = -m. Factor -2*h - 15*h**2 + 12*h - 10*h**2 - s.
-(5*h - 1)**2
Let u(s) = -12*s - 82. Let t be u(-7). Find v such that -1/3*v**4 + 1/3*v**3 + 0*v + 0 + 1/3*v**t - 1/3*v**5 = 0.
-1, 0, 1
Let a(i) = i**4 - i**2 + i - 1. Let g(w) = -4*w**3 - 6*w**2 - w - 1. Let f(v) = 3*a(v) - 3*g(v). Factor f(b).
3*b*(b + 1)**2*(b + 2)
Factor 1/4*y**3 - 25/4 + 9/4*y**2 + 15/4*y.
(y - 1)*(y + 5)**2/4
Factor 4*r**2 - r**3 + 14*r - 11*r - 8*r + 2.
-(r - 2)*(r - 1)**2
Let o(w) be the third derivative of -w**7/840 + w**3/6 - 4*w**2. Let t(b) be the first derivative of o(b). Factor t(h).
-h**3
Factor -2/9*k**3 - 4/9*k**2 - 2/9*k + 0.
-2*k*(k + 1)**2/9
Let a(z) = z + 10. Let h be a(-6). Let b(f) be the second derivative of 1/6*f**3 - 1/8*f**h - 1/8*f**2 - 1/120*f**6 + f + 1/20*f**5 + 0. What is o in b(o) = 0?
1
Let i(m) = 3*m**3 + 14*m**2 - 27*m + 29. Let t(g) = -g**3 - 7*g**2 + 14*g - 14. Let v(u) = -2*i(u) - 5*t(u). Solve v(q) = 0 for q.
2, 3
Let s = -1885/2 + 915. Let h = s + 28. Factor 1/2 - h*t - 1/2*t**2 + 1/2*t**3.
(t - 1)**2*(t + 1)/2
Let b(a) be the third derivative of a**7/70 + 7*a**6/40 + 17*a**5/20 + 17*a**4/8 + 3*a**3 - 9*a**2. Suppose b(n) = 0. Calculate n.
-3, -2, -1
Let f = -25 + 45. Suppose -4*x + 2*x = 5*u - 12, 3*u = 2*x + f. Suppose v**2 + 4*v**2 - v**3 + 5*v**3 + 2*v + v**u = 0. What is v?
-2, -1, 0
Let h be ((-2)/(-12))/((-4)/12)*-1. Factor 0 + 1/4*y - h*y**2 + 1/4*y**3.
y*(y - 1)**2/4
Let t be (9/18)/((-1)/(-6)). Suppose -1/4*n**4 - 1/4 + 1/2*n**2 + 0*n + 0*n**t = 0. What is n?
-1, 1
Let d = 7 + -52. Let b = -221/5 - d. Solve 2*y**3 + b*y**4 - 2/5 - 2/5*y + 6/5*y**2 = 0 for y.
-1, 1/2
Factor 6/11*r**2 - 6/11 - 2/11*r**3 + 2/11*r.
-2*(r - 3)*(r - 1)*(r + 1)/11
Let z be 3*((-25)/(-3) - 3). Suppose -5*l = -3*f + 21, -f + 5*l + 0 + 17 = 0. Find o such that 2*o**2 + 6*o - f*o - z*o**2 = 0.
0, 2/7
Factor -2*k**4 - k - 6*k**4 - 4*k**5 + k.
-4*k**4*(k + 2)
Let w(z) be the second derivative of -z**4/20 - 3*z**3/10 - 3*z**2/5 - 14*z. Determine a so that w(a) = 0.
-2, -1
Let v(j) be the second derivative of 2*j**4/3 - j**3 - j**2 + 36*j. Factor v(b).
2*(b - 1)*(4*b + 1)
Let j be (-60)/70*(-4)/(-30)*-7. Factor -2/5*v**3 - j + 4/5*v**2 + 2/5*v.
-2*(v - 2)*(v - 1)*(v + 1)/5
Let t be (2/2 + -1)/((-297)/99). Determine j, given that 0 - 2/11*j**3 + 0*j + t*j**2 = 0.
0
Let w(t) be the first derivative of -t**8/504 + t**6/90 - t**4/36 + t**2/2 - 2. Let b(h) be the second derivative of w(h). Factor b(d).
-2*d*(d - 1)**2*(d + 1)**2/3
Let d = -10 - -18. Let n = 11 - d. Factor -6/5*s + 0*s**2 - 4/5 + 2/5*s**n.
2*(