 r?
-2, 0, 1
Let g(d) be the third derivative of -d**6/60 + 2*d**5/15 - 5*d**4/12 + 2*d**3/3 - 2*d**2. Factor g(q).
-2*(q - 2)*(q - 1)**2
Let g(i) be the first derivative of -4/5*i**2 + 2/5*i - 4 + 2/5*i**3. Factor g(z).
2*(z - 1)*(3*z - 1)/5
Let s(l) = -3*l**2 - 10*l - 7. Let i(g) = -g - 1. Let c(p) = -2*i(p) - s(p). Determine v, given that c(v) = 0.
-3, -1
Let c be 5 + 488/(-56) - (0 + -4). Let 0*o - 2/7*o**4 + 0 - c*o**3 + 2/7*o**2 + 2/7*o**5 = 0. Calculate o.
-1, 0, 1
Factor 6*w**2 - 1 + w**2 - 4*w**3 - 6*w**2 + 4*w.
-(w - 1)*(w + 1)*(4*w - 1)
Let r(b) be the first derivative of 2/21*b**3 + 4/7*b**4 - 1 + 0*b + 38/35*b**5 + 4/7*b**6 + 0*b**2. Find j such that r(j) = 0.
-1, -1/3, -1/4, 0
Let n be (-3)/9*-3*3. Factor 176*s**2 + 32*s + 280*s**3 - 4*s**4 + 104*s**4 + n - 3.
4*s*(s + 2)*(5*s + 2)**2
Factor 303*h + 4*h**3 - 72*h**2 + 137*h - 8*h - 864.
4*(h - 6)**3
Factor 4*m - m + 4*m**4 - 8 + 9*m - 12*m**3 + 4*m**2.
4*(m - 2)*(m - 1)**2*(m + 1)
Let -2*o**4 + 10*o**3 + 8 + 84*o - 38*o - 33*o + 2*o**2 - 29*o - 2*o**5 = 0. Calculate o.
-2, 1
Let r(p) be the first derivative of -9 - 1/6*p**4 - 8/9*p**3 - 4/3*p - 5/3*p**2. What is d in r(d) = 0?
-2, -1
Let z(u) be the first derivative of 1/4*u**4 - 1/5*u**5 + 1/3*u**3 - 1 - 1/2*u**2 + 0*u. Factor z(q).
-q*(q - 1)**2*(q + 1)
Let d(i) be the first derivative of -2 + 8/11*i - 24/11*i**2 + 14/11*i**3 + 49/22*i**4. Factor d(q).
2*(q + 1)*(7*q - 2)**2/11
Let x(p) = -p**4 + p**3 + 2*p - 2. Let t(w) = -9*w**4 + 9*w**3 + w**2 + 17*w - 17. Let h(a) = -6*t(a) + 51*x(a). Factor h(q).
3*q**2*(q - 2)*(q + 1)
Suppose -2*k - 2*a - 10 = 0, -3*k + 3*a - 2*a + 5 = 0. Find j such that 2/7*j**3 + 2/7*j + k + 4/7*j**2 = 0.
-1, 0
Let f be (-1)/3 + 14/6. Factor -f*x + 3 + 4*x**3 + x**2 - 3 - 3*x**4.
-x*(x - 1)**2*(3*x + 2)
Let o = -15 + 17. Let -4*s**2 + 6*s**o - 2 - 5 - 1 = 0. What is s?
-2, 2
Let u(p) be the second derivative of -p**4/6 + p**2 + 6*p. Solve u(a) = 0 for a.
-1, 1
Factor -6*b - 36/7*b**2 - 6/7*b**3 + 3/7*b**4 - 15/7.
3*(b - 5)*(b + 1)**3/7
Factor -2000/13*s**5 - 56/13*s + 2/13 + 482/13*s**2 - 860/13*s**3 - 3400/13*s**4.
-2*(s + 1)**2*(10*s - 1)**3/13
Let l(t) be the second derivative of t**4/78 - t**3/13 + 2*t**2/13 + 4*t. Let l(x) = 0. What is x?
1, 2
Let n(h) be the second derivative of 3/20*h**5 + 0*h**2 - 1/2*h**3 + 3*h + 0 - h**4 + 2/5*h**6. Factor n(o).
3*o*(o - 1)*(o + 1)*(4*o + 1)
Let r(m) be the first derivative of m**6/360 + m**5/90 + m**4/72 + m**2 + 3. Let c(s) be the second derivative of r(s). Find y such that c(y) = 0.
-1, 0
Let u(g) be the second derivative of 0*g**3 + 1/5*g**6 - 1/21*g**7 + 0 - 3/10*g**5 - 7*g + 0*g**2 + 1/6*g**4. Let u(i) = 0. What is i?
0, 1
Let 2/3*c**2 + 0 - 2/3*c**4 + 4/9*c - 4/9*c**3 = 0. What is c?
-1, -2/3, 0, 1
Factor 32/5 - 4/5*c**2 + 8/5*c.
-4*(c - 4)*(c + 2)/5
Suppose 0*p + 1/3*p**2 + 2/3*p**4 + 0 + 3/2*p**3 = 0. Calculate p.
-2, -1/4, 0
Let v = 177/14 + -57/7. Factor -v + 6*l**2 + 33/2*l.
3*(l + 3)*(4*l - 1)/2
Let h(b) be the third derivative of -b**7/315 - b**6/180 + b**5/90 + b**4/36 - 4*b**2. Factor h(t).
-2*t*(t - 1)*(t + 1)**2/3
Let u be (0 + 2)*(-6)/(-4). Let q(n) be the second derivative of 0 + 0*n**2 - 1/36*n**4 - 2*n - 1/18*n**u. Suppose q(a) = 0. Calculate a.
-1, 0
Let j = 92 - 90. Find i, given that -1/4*i**j - 1/2*i + 0 = 0.
-2, 0
Let u(n) be the third derivative of -7*n**6/120 + 13*n**5/30 - 5*n**4/6 - 4*n**3/3 - 3*n**2 + 10*n. Factor u(l).
-(l - 2)**2*(7*l + 2)
Let r = -1093 + 2189/2. Suppose -3*u + c = -2, -2 + 4 = -u - c. Factor u + 3*n**2 - r*n - 3/2*n**3.
-3*n*(n - 1)**2/2
Let s = -8 - -11. Let n be (-3)/9 + 1/s. Factor h + 2*h**2 + 0*h**2 - 2 + n*h**3 - h**3.
-(h - 2)*(h - 1)*(h + 1)
Let o = 7/19 - -5/38. Let x(v) be the second derivative of 0*v**2 + 0 - 5/4*v**4 + 3/5*v**5 + o*v**3 - 4*v. Factor x(u).
3*u*(u - 1)*(4*u - 1)
Suppose -v + 0*v = -1, -2*v = -5*k - 2. Suppose k = -2*o + 5*w + 31, 2*o = o + 4*w + 23. Determine m, given that -1/4*m**o + 0*m + 1/4*m**2 + 0 = 0.
0, 1
Let r(x) be the second derivative of -1/231*x**7 + 0*x**3 + 0*x**6 + 0*x**4 + x + 0 + 0*x**2 + 1/110*x**5. Determine m so that r(m) = 0.
-1, 0, 1
Let w(x) = x**3 - 8*x**2 - x + 10. Let y be w(8). Suppose -7*d = -y*d - 20. What is t in -2/9*t - 2/3*t**2 + 0 - 2/9*t**d - 2/3*t**3 = 0?
-1, 0
Suppose -2*y + y + 4 = 0. Let j be y/10 - 384/(-90). Suppose -j*q**5 + 32/3*q**2 - 4/3 - 68/3*q**3 + 52/3*q**4 + 2/3*q = 0. What is q?
-2/7, 1
Let w(t) be the first derivative of 4 - 1/2*t**4 - t**2 + 4/3*t**3 + 0*t. Factor w(c).
-2*c*(c - 1)**2
Let o(w) = 2*w**3 - 3*w**2. Let k be o(2). Let r(h) be the first derivative of -2/5*h**5 + 0*h**2 - 2*h - 2 + 4/3*h**3 + 0*h**k. Factor r(t).
-2*(t - 1)**2*(t + 1)**2
Suppose 18*w - 35 = 19. Factor 1/5*f + 1/5*f**2 - 1/5 - 1/5*f**w.
-(f - 1)**2*(f + 1)/5
Let q(n) be the second derivative of -n**7/189 + n**6/27 - 4*n**5/45 + 2*n**4/27 - 9*n. Solve q(g) = 0.
0, 1, 2
Let u(m) = 4*m**2 + 3*m + 5. Let l(w) = 5*w**2 + 4*w + 6. Let r be (-7)/(-9) + (-14)/(-63). Suppose 0 = -3*g - r - 17. Let i(v) = g*l(v) + 7*u(v). Factor i(c).
-(c + 1)*(2*c + 1)
Solve -1/4*n**3 - 3/4*n**2 - 1/4 - 3/4*n = 0.
-1
Let r(a) = -a - 3. Suppose -6*s + 3*s - 27 = 4*k, -2*k + 2*s - 10 = 0. Let u be r(k). Find v such that -2*v**3 + v**u - v**3 - 8*v - 8*v**2 = 0.
-2, 0
Let z(b) = -7*b**4 + 5*b**3 + 4*b**2 - 5*b + 3. Let s(g) = -3*g**4 + 2*g**3 + 2*g**2 - 2*g + 1. Let o = 12 + -17. Let c(r) = o*s(r) + 2*z(r). Factor c(y).
(y - 1)**2*(y + 1)**2
Let n(b) = 3*b**3 + 3*b**2 - 3. Let z = -3 - -6. Let j(f) = -f**2 + 1. Let c(u) = z*j(u) + n(u). What is h in c(h) = 0?
0
Let r(m) be the first derivative of -1/2*m**2 + 10 + 1/3*m**3 + 1/3*m - 1/12*m**4. What is t in r(t) = 0?
1
Find f such that -13*f + 10*f + 21*f + 4 + 4*f + 18*f**2 = 0.
-1, -2/9
Let p(i) be the second derivative of 0 + 1/6*i**4 + 0*i**5 + 3*i - 1/30*i**6 - 1/2*i**2 + 0*i**3. Factor p(y).
-(y - 1)**2*(y + 1)**2
Factor -1/2*x**5 + 0*x**3 + 1/2*x + x**2 - x**4 + 0.
-x*(x - 1)*(x + 1)**3/2
Let x(d) be the second derivative of -d**4/6 - 2*d**3 - 9*d**2 + d. Suppose x(j) = 0. Calculate j.
-3
Let g be (-2)/(-1) - (-2)/1. Solve -3*m**3 + g*m**4 - 2*m + 3*m + 4*m**2 + 0*m**4 + 9*m**3 + m**5 = 0.
-1, 0
Suppose -12*k - 24 = -18*k. Determine l, given that 0 + 2/13*l**5 + 6/13*l**3 + 6/13*l**k + 2/13*l**2 + 0*l = 0.
-1, 0
Let t(l) be the second derivative of -l**5/180 - l**4/72 + l**2/2 - 2*l. Let v(k) be the first derivative of t(k). Solve v(p) = 0 for p.
-1, 0
Suppose l**4 + 2*l**3 + 90*l + 2*l**2 - 96*l - 7*l**2 = 0. What is l?
-3, -1, 0, 2
Factor -2/15*u**3 + 16/15 + 8/15*u - 4/15*u**2.
-2*(u - 2)*(u + 2)**2/15
Let l(u) be the first derivative of u**6/6 + u**5/5 - u**4/4 - u**3/3 + 3. Determine f so that l(f) = 0.
-1, 0, 1
Let l(s) = 3*s - 2. Let q be l(2). Determine d so that d + 5*d**3 - q*d + d - 3*d**3 = 0.
-1, 0, 1
Factor 0 - 16/7*i + 4/7*i**4 - 20/7*i**3 + 32/7*i**2.
4*i*(i - 2)**2*(i - 1)/7
Factor 4*j + 24 - 521*j**3 - 16*j**2 + 525*j**3 + 0*j.
4*(j - 3)*(j - 2)*(j + 1)
Let f(l) = -15*l**2. Let s(k) = -k**2 - 5*k**2 + 8*k**2 + 5*k**2. Let z(h) = 6*f(h) + 13*s(h). Let z(i) = 0. What is i?
0
Let o(r) be the first derivative of -r**5/3 + 25*r**4/12 - 5*r**3 + 35*r**2/6 - 10*r/3 - 10. Factor o(v).
-5*(v - 2)*(v - 1)**3/3
Let t(k) = -2*k**2 - 14*k + 16. Let y(j) = -j**2 + 1. Let n(s) = 2*t(s) - 6*y(s). Factor n(v).
2*(v - 13)*(v - 1)
Determine u, given that -8*u**3 + 4*u - 41*u**5 - 39*u**5 + 84*u**5 = 0.
-1, 0, 1
Let t(i) be the first derivative of i**5/25 - 9*i**4/40 + i**3/5 - 5*i**2/2 - 8. Let a(f) be the second derivative of t(f). Factor a(g).
3*(g - 2)*(4*g - 1)/5
Let j(p) = p + 1. Let o(n) = n**4 - 7*n**3 + 8*n**2 + 10*n - 6. Let m(y) = -6*j(y) - o(y). Determine f so that m(f) = 0.
-1, 0, 4
Suppose -s**2 + s**3 - 15*s - 8 + 10*s + 5 = 0. Calculate s.
-1, 3
Factor -y**2 - 16 + 3*y - 19*y + y**2 - 4*y**2.
-4*(y + 2)**2
Let f = 7 + -4. Let l be (-18)/(-56) - 2/(-8). Find w such that -6/7*w**2 + 10/7*w**f + 0 - l*w = 0.
-2/5, 0, 1
Let s be (-7)/(-2)*(-120)/(-70). Let x(y) be the second derivative of -y - 3/20*y**5 + 1/6*y**4 + 0 + 0*y**3 + 0*y**2 - 1/6*y**s. Let x(h) = 0. What is h?
-1, 0, 2/5
Let w = 238 + -2140/9. Determine y so that w*y**4 + 2/9*y + 2/3*y**2 + 0 + 2/3*y**3 = 0.
-1, 0
Let w(t) be the first derivative 