Suppose r = -2*y + 3 + 5. Let 16*b**3 + y*b + 8*b**3 - 8*b**2 - 10*b**4 - 10*b**2 = 0. Calculate b.
0, 2/5, 1
Solve -2/15*u**4 + 0*u**2 - 2/15*u**3 + 0 + 0*u = 0 for u.
-1, 0
Let r = 10 + -6. Let t be 5/3 + 1/(-1). Factor -u**r + 1/3 - 2/3*u**3 + u - 1/3*u**5 + t*u**2.
-(u - 1)*(u + 1)**4/3
Let o(l) = l**5 - l + 1. Let u(k) = -3*k**5 - 6*k**4 - 2*k**3 + 6*k**2 + 5*k - 1. Let d(n) = o(n) + u(n). Suppose d(m) = 0. Calculate m.
-2, -1, 0, 1
Let v(a) = a**2 + 9*a - 5. Let y be v(-11). Let l = -12 + y. Solve -7*m**3 + 0 + 8*m**3 + 4 + 8*m + l*m**2 = 0.
-2, -1
Let s be (-3 + 1 + 3)*1. Let z(l) = 6*l + s + 1 - 3*l**3 - l. Let j(t) = 4*t**3 + t**2 - 6*t - 3. Let p(x) = -2*j(x) - 3*z(x). Solve p(n) = 0 for n.
-1, 0, 3
Let l = 14 - 0. Let a = l + -12. Solve 18/7*p + 4/7 - 18*p**5 - 300/7*p**4 - 24/7*p**a - 212/7*p**3 = 0.
-1, -1/3, 2/7
Factor 1/2*j - 1/4*j**2 - 1/4.
-(j - 1)**2/4
Let v(z) be the first derivative of 5*z**3/3 - 20*z + 31. Find h, given that v(h) = 0.
-2, 2
Let n(x) be the third derivative of -x**7/630 - x**6/360 + 3*x**2. Determine m so that n(m) = 0.
-1, 0
Let f(n) be the third derivative of -n**8/2184 + n**7/195 - n**6/52 + n**5/30 - n**4/39 + n**2 + 4. Let f(x) = 0. What is x?
0, 1, 4
Let r(v) be the second derivative of -v**7/63 + v**5/15 - v**3/9 + 7*v. Factor r(l).
-2*l*(l - 1)**2*(l + 1)**2/3
Let d(w) = 4*w**2 - 2*w + 4. Let a(n) = n**2. Let i(k) = 6*a(k) - d(k). Find g, given that i(g) = 0.
-2, 1
Let i(t) = -t**3 - 3*t**2 - 1. Let u be i(-4). Factor -9*x + 14*x**3 + 9*x**2 - 3*x**2 - u*x**3.
-x*(x - 3)**2
Let y(s) be the third derivative of -1/480*s**6 + 1/96*s**4 + 4*s**2 - 1/240*s**5 + 0*s + 0 + 1/24*s**3. Suppose y(k) = 0. Calculate k.
-1, 1
Let h(y) be the third derivative of y**6/24 - y**5/4 + 5*y**4/12 - 23*y**2 + y. Factor h(u).
5*u*(u - 2)*(u - 1)
Let n be (-12)/20 + 2 + -1. Suppose -2/5*v**3 + 0 - n*v + 4/5*v**2 = 0. What is v?
0, 1
Let r(w) be the second derivative of -1/70*w**5 + 0 - 1/21*w**3 - 1/21*w**4 - 3*w + 0*w**2. Factor r(i).
-2*i*(i + 1)**2/7
Let f(o) = 4*o**4 - 3*o**3 + 5*o**2. Let p(b) = -9*b**4 + 6*b**3 - 11*b**2. Let d = 14 - 7. Let a(g) = d*f(g) + 3*p(g). Solve a(j) = 0.
0, 1, 2
Solve -7*z + z - 13*z**2 + 14*z**2 = 0.
0, 6
Suppose -3*p + 9 = -0*p. Let i(d) be the first derivative of -1/21*d**6 - 2/7*d - 1 + 4/21*d**p - 1/7*d**2 - 2/35*d**5 + 1/7*d**4. Factor i(j).
-2*(j - 1)**2*(j + 1)**3/7
Let g(c) be the third derivative of c**8/6720 - c**7/720 + c**6/360 - c**5/60 - c**2. Let v(o) be the third derivative of g(o). Factor v(s).
(s - 2)*(3*s - 1)
Suppose -3*z - 2 = 2*u, 4*u - u = -3. Let v be 2*(z - (-10)/4). Suppose -1/5 + 2/5*b**2 + 2/5*b**3 - 1/5*b - 1/5*b**v - 1/5*b**4 = 0. What is b?
-1, 1
Let y(w) = -w**2 - 6*w + 10. Let b be y(-7). Suppose b*t = 1 + 11. Factor 2 + 2*v - t*v**2 - 2*v**3 - 8*v + 10*v**2.
-2*(v - 1)**3
Let w(s) = s. Let b(u) = -5*u**2 + 4*u. Let f(r) = b(r) + 6*w(r). Factor f(y).
-5*y*(y - 2)
Let j = -47 + 47. Let a(m) be the first derivative of 2 - 1/4*m**4 + j*m + 1/3*m**3 + 0*m**2. Solve a(k) = 0 for k.
0, 1
Let b(o) be the first derivative of -o**4/48 - o**3/12 + 2*o - 5. Let k(g) be the first derivative of b(g). Factor k(u).
-u*(u + 2)/4
Let x(j) = 14*j**4 + 4*j**3 + 8*j**2 + 12*j. Let l(h) = h**4 + h**3 + h. Let n(r) = 12*l(r) - x(r). Determine w, given that n(w) = 0.
0, 2
Factor 2 + 2/3*r**2 + 10/3*r - 2/3*r**3.
-2*(r - 3)*(r + 1)**2/3
Let m be 5/60 - 3/(-9). Let w(t) be the first derivative of 0*t - 1/3*t**2 + m*t**4 + 1/15*t**5 + 1 - 1/6*t**6 - 1/9*t**3. Solve w(r) = 0.
-1, -2/3, 0, 1
Suppose -2*g + 0*g + 8 = 0. Let p be 1/g + 45/12. Let 4*i**2 - p*i**2 + 6*i + 3*i**2 + 3 = 0. What is i?
-1
Let j(f) = -f**3 + 4*f**2 + 5*f - 3. Let v be j(4). Solve 3*l**4 - 8*l - v*l**3 + 1 - 7*l**3 + 6*l**4 + 22*l**2 = 0 for l.
1/3, 1
Let r(m) = m - 7. Let f be r(9). Factor 2*w**4 + 5*w**2 + 5*w**f - 10*w**2 + 2*w**3.
2*w**3*(w + 1)
Let d(t) be the first derivative of -3/4*t**4 - 3 + 0*t**2 + 0*t + 0*t**3. Let d(a) = 0. What is a?
0
Let q(h) be the first derivative of 7*h**4/10 - 88*h**3/15 + 15*h**2 - 36*h/5 + 1. Find k, given that q(k) = 0.
2/7, 3
Let c(m) be the second derivative of 1/6*m**3 + 0 + 1/12*m**4 + 1/60*m**5 - 4*m + 1/6*m**2. Factor c(h).
(h + 1)**3/3
Let z(o) be the second derivative of 1/90*o**6 + 0*o**2 - 1/60*o**5 + 0 + 0*o**3 - 1/36*o**4 + 1/126*o**7 - 5*o. Factor z(k).
k**2*(k - 1)*(k + 1)**2/3
Let p(x) be the second derivative of x**8/9240 + x**7/4620 + x**3/3 + 2*x. Let w(y) be the second derivative of p(y). Let w(i) = 0. What is i?
-1, 0
Let k(r) be the third derivative of r**2 - 1/9*r**3 + 0*r - 1/315*r**7 + 0 + 0*r**4 + 1/45*r**5 + 0*r**6. Factor k(f).
-2*(f - 1)**2*(f + 1)**2/3
Let w(l) be the third derivative of -1/30*l**3 + 0 - 1/300*l**6 - 1/150*l**5 - 2*l**2 + 1/350*l**7 - 1/1680*l**8 + 0*l + 1/40*l**4. Solve w(v) = 0.
-1, 1
Let d(x) be the second derivative of x**5/20 - x**4/12 - x**3/6 + x**2/2 + 21*x. Factor d(i).
(i - 1)**2*(i + 1)
Let n(k) be the first derivative of -k**6/2 + 9*k**5/5 - 3*k**4/4 - 3*k**3 + 3*k**2 + 10. Suppose n(j) = 0. Calculate j.
-1, 0, 1, 2
Let v(n) be the second derivative of -n**5/40 + n**4/12 - 5*n. Solve v(m) = 0 for m.
0, 2
Let h be ((-8)/(-8) - 6) + 7. Factor -4/3 - 2/3*m**5 - 28/3*m**3 - 32/3*m**h - 6*m - 4*m**4.
-2*(m + 1)**4*(m + 2)/3
Suppose -18*i - 15 = -15. Factor -2/15 + 4/15*q**2 + 0*q**3 + i*q - 2/15*q**4.
-2*(q - 1)**2*(q + 1)**2/15
Let z(t) be the third derivative of 0*t**3 + 0*t - 1/60*t**6 - 1/210*t**7 + 0*t**5 - t**2 + 0*t**4 + 0. Suppose z(p) = 0. Calculate p.
-2, 0
Let n be 1 + (-13 + 2)*1. Let a = -6 - n. Factor 1/2*w**a + 0 - 1/2*w + 1/2*w**3 - 1/2*w**2.
w*(w - 1)*(w + 1)**2/2
Factor -11/5*f - f**4 - 21/5*f**2 - 17/5*f**3 - 2/5.
-(f + 1)**3*(5*f + 2)/5
Let 0*s + 0 + 2/3*s**3 - 1/3*s**5 + 1/3*s**4 + 0*s**2 = 0. What is s?
-1, 0, 2
Let t(i) be the second derivative of -4*i + 1/9*i**4 + 0 + 0*i**5 - 1/9*i**3 + 1/63*i**7 + 0*i**2 - 2/45*i**6. Let t(n) = 0. What is n?
-1, 0, 1
Let t = -6 + 6. Suppose 0*k - 4*k = -12, t = -5*o + 3*k - 9. Let -2/3*w**3 + 0*w**2 + o + 2/3*w = 0. Calculate w.
-1, 0, 1
What is g in -8*g**3 - 162*g**4 - 61*g**3 + 136*g**2 + 16*g + 321*g**3 = 0?
-2/9, 0, 2
Let t(z) be the second derivative of -z**6/6 + z**5 - 40*z**3/3 + 40*z**2 + 5*z. Factor t(i).
-5*(i - 2)**3*(i + 2)
Factor -2/15*b**3 - 2/3*b**4 + 0*b + 0 + 0*b**2.
-2*b**3*(5*b + 1)/15
Let x(k) be the first derivative of 2*k**5/15 - 2*k**3/3 + 2*k**2/3 - 42. Factor x(v).
2*v*(v - 1)**2*(v + 2)/3
Let d(s) be the second derivative of -1/3*s**3 - 2*s + 0*s**2 - 4/21*s**7 - 1/2*s**4 + 0 + 1/5*s**6 + 1/2*s**5. Suppose d(a) = 0. What is a?
-1, -1/4, 0, 1
Let t(n) be the second derivative of -n**7/210 + n**6/150 + 3*n**5/100 - n**4/12 + n**3/15 - 32*n. Factor t(d).
-d*(d - 1)**3*(d + 2)/5
Let c be -6*((-18)/4)/3. Factor y**2 + 5*y**2 - 3*y**4 + 6*y - c*y**3 + 3*y**5 - 3*y**2.
3*y*(y - 2)*(y - 1)*(y + 1)**2
Let j(f) = 6*f**2 + 53*f**3 + 30*f**2 - 3*f - 2*f + 0*f + 17 + 29*f**4. Let l(g) = 5*g**4 + 9*g**3 + 6*g**2 - g + 3. Let t(x) = -6*j(x) + 34*l(x). Factor t(v).
-4*v*(v + 1)**3
Suppose -5*p + 22 + 3 = -3*j, 2*p = -4*j + 10. Suppose 0 = 3*i - 12 - j. Solve -2/9*x**i + 4/9*x**2 + 0*x**3 - 2/9 + 0*x = 0 for x.
-1, 1
Let m(f) be the first derivative of 2 - 4*f**3 - 9/2*f**4 + 0*f - 12/5*f**5 - 1/2*f**6 - 3/2*f**2. Find d such that m(d) = 0.
-1, 0
Let r = 196 - 194. Suppose -3/2*a**4 + 0 + 3/2*a - 9/2*a**r + 9/2*a**3 = 0. What is a?
0, 1
Let w(j) = -j**2 - 7*j - 3. Let u be w(-6). Let c be (-9 + u)*2/(-6). Determine o so that o**2 + c - 2 = 0.
0
Factor -1/2*y + 1/4*y**3 + 0 + 1/4*y**2.
y*(y - 1)*(y + 2)/4
Let p(i) be the first derivative of -i**6/8 + 2*i**5/5 + i**4/2 + 9*i**2/2 + 5. Let o(s) be the second derivative of p(s). Solve o(w) = 0 for w.
-2/5, 0, 2
Suppose 0*g = -g. Find v, given that -8*v**2 + g*v**3 + 0*v**3 - 4*v**3 - 4*v = 0.
-1, 0
Let q(x) be the second derivative of 0 + 1/10*x**3 + 1/60*x**4 + 1/5*x**2 - 2*x. Find h such that q(h) = 0.
-2, -1
Let m be 18/(3 - -3) - -1. Factor 3/5*s**3 + 0*s + 6/5*s**2 - 3/5*s**m + 0.
-3*s**2*(s - 2)*(s + 1)/5
Let n(t) be the third derivative of -t**8/3360 + t**7/630 - t**6/360 + t**4/12 - 5*t**2. Let y(m) be the second derivative of n(m). Suppose y(f) = 0. What is f?
0, 1
Let y(s) be the first der