r**4 - 3*r**3 - 103*r - 6*r**2 - 25 + 143*r - 5*r**3.
-(r - 1)**2*(r + 5)**2
Let n(m) be the second derivative of -m**7/294 - m**6/105 + m**4/42 + m**3/42 - 4*m. Let n(q) = 0. What is q?
-1, 0, 1
Let n(r) be the second derivative of -r**4/42 - 10*r. Factor n(f).
-2*f**2/7
Let c be 3*(-8)/36*-3. Factor -3/2*a**3 - 12*a - 6 - 15/2*a**c.
-3*(a + 1)*(a + 2)**2/2
Let i(x) be the second derivative of -x**7/11340 + x**6/1620 - x**5/540 - x**4/12 + 2*x. Let p(j) be the third derivative of i(j). Let p(m) = 0. Calculate m.
1
Let s(c) = c**4 + c**3 - 2*c + 1. Let x(g) = g**3 - g**2 - 1. Let d(r) = -5*s(r) - 5*x(r). Factor d(l).
-5*l*(l - 1)*(l + 1)*(l + 2)
Let i be (6/(-10))/((-2)/10). Solve h**2 - i*h + 0*h + 4*h + 0*h**2 = 0.
-1, 0
Determine u so that 12/5*u + 0 + 3/5*u**2 = 0.
-4, 0
Let i be 8/((-48)/30) - 33/(-6). Let v be (2*-1)/(-2)*2. Determine h so that h**3 + 1/2*h**v + 0 + 0*h + i*h**4 = 0.
-1, 0
Suppose 3*k + k = 8. Suppose -10 = -3*i - k*i. Factor -i*l**3 + 0*l**3 + 0*l**3.
-2*l**3
Determine o so that -8/5*o + 6/5 + 2/5*o**2 = 0.
1, 3
Let y be (-37)/(-20) - 162/270. Solve -3/4 - 1/2*w + y*w**2 = 0.
-3/5, 1
Let a(u) be the first derivative of u**7/63 + 2*u**6/45 + u**5/30 + 3*u - 2. Let i(f) be the first derivative of a(f). Determine l, given that i(l) = 0.
-1, 0
Let v(n) be the second derivative of 0*n**3 - n + 0*n**4 + 0*n**2 + 1/63*n**7 - 1/30*n**5 + 0 + 0*n**6. Solve v(s) = 0.
-1, 0, 1
Let c(t) be the first derivative of t**3/12 + 3*t**2/4 + 9*t/4 + 6. What is h in c(h) = 0?
-3
Suppose 5*v = -0*v + 4*v. Factor -2/9*b**4 - 2/9*b**2 + 0 + v*b - 4/9*b**3.
-2*b**2*(b + 1)**2/9
Let f = 10 - 6. Let o(l) be the second derivative of 1/147*l**7 - 1/35*l**6 + 3/70*l**5 + 0*l**2 - 1/42*l**f + 0 + 0*l**3 - 2*l. Factor o(q).
2*q**2*(q - 1)**3/7
Let v(q) = -q**3 - 4*q**2 - 3*q - 1. Let f be v(-3). Let b(x) = x**2 + x - 1. Let a(y) = -7*y**2 - 6*y + 7. Let r(g) = f*a(g) - 6*b(g). Factor r(n).
(n - 1)*(n + 1)
Let n = -3 - -6. Let y(h) = -6*h**4 - 3. Let p(a) = -7*a**4 - a**2 - 4. Let i(t) = n*p(t) - 4*y(t). Factor i(u).
3*u**2*(u - 1)*(u + 1)
Suppose -4 = -3*a - 1. Let f be 2*a/22*2. Factor -6/11*c + f*c**2 + 4/11.
2*(c - 2)*(c - 1)/11
Let g = 97 + -97. Let f(p) be the third derivative of 0*p**6 - 1/630*p**7 + g*p**3 + 3*p**2 + 0*p + 0*p**5 + 0 + 0*p**4 + 1/1008*p**8. What is n in f(n) = 0?
0, 1
Factor -12/5*p**2 + 0 - 3/5*p**3 - 12/5*p.
-3*p*(p + 2)**2/5
Let n = -44 + 7. Let z = -21 - n. Factor -j**3 + 2*j**5 + 20*j**4 - 2*j + j**3 - 4*j**2 - z*j**4.
2*j*(j - 1)*(j + 1)**3
Let w(v) = -2*v + 60. Let l be w(30). Let u(r) = 3*r**2. Let b be u(-1). Factor -1/2*n + 0 - 1/2*n**5 + n**b + l*n**2 + 0*n**4.
-n*(n - 1)**2*(n + 1)**2/2
Let m(d) = -d + 3. Let j be m(-3). Let g(h) be the first derivative of 1 - 2/15*h**5 + 0*h**4 - 1/18*h**j + 1/6*h**2 + 0*h + 2/9*h**3. Factor g(l).
-l*(l - 1)*(l + 1)**3/3
Let o = 480/889 + 4/127. Factor 2/7*u - 2/7*u**3 + o*u**2 - 4/7.
-2*(u - 2)*(u - 1)*(u + 1)/7
Let a(o) = o**2 + o. Let w be a(-2). Determine j so that -19*j + j**w + 19*j = 0.
0
Let j(y) be the third derivative of 0*y**4 - 3*y**2 + 0*y + 1/270*y**5 - 1/27*y**3 + 0. Solve j(z) = 0 for z.
-1, 1
Let h(q) be the first derivative of 1/9*q**3 - 1/3*q - 1 + 0*q**2. Factor h(j).
(j - 1)*(j + 1)/3
Let r = -469/3 - -157. Let t(i) be the first derivative of -1/6*i**4 - 8/3*i + r*i**3 + 1 + 0*i**2. Factor t(f).
-2*(f - 2)**2*(f + 1)/3
Let o(x) be the second derivative of x**7/273 + x**6/195 - 9*x**5/130 + 11*x**4/78 - 4*x**3/39 + 30*x. Suppose o(i) = 0. What is i?
-4, 0, 1
Let y = -1048/71 - -132093/8165. Let m = y + -5/23. Suppose -3/5*c**3 + 0 - m*c**2 + 0*c = 0. Calculate c.
-2, 0
Let z be (-5)/4*(-16)/40. Find o, given that o**2 - 1/2*o**3 - z*o + 0 = 0.
0, 1
Let q(n) be the third derivative of n**7/6300 - n**5/300 - n**4/8 + 2*n**2. Let v(m) be the second derivative of q(m). Factor v(f).
2*(f - 1)*(f + 1)/5
Suppose -b**2 + b**5 + 16*b**4 - 3*b - 5*b**2 - 12*b**4 + 2*b**3 + 2*b**2 = 0. What is b?
-3, -1, 0, 1
Factor 7*g**2 + 2*g**3 - 15*g**4 + 11*g**4 + 3*g**3 - 2*g.
-g*(g - 2)*(g + 1)*(4*g - 1)
Let k(i) be the first derivative of 2*i**7/105 + i**6/15 - i**4/3 - 2*i**3/3 + i**2 - 3. Let m(u) be the second derivative of k(u). Find h, given that m(h) = 0.
-1, 1
Determine u so that 2*u - 5*u**2 + 5*u**2 - 2*u**2 + u**3 - u**2 = 0.
0, 1, 2
Let d = -536 - -536. Factor d*c**2 - 6/5*c + 4/5 + 2/5*c**3.
2*(c - 1)**2*(c + 2)/5
Solve -3*t**3 + 6*t + 6 - 9/2*t**2 + 3/2*t**4 = 0 for t.
-1, 2
Suppose 2 = 2*z + 4*r, z - 2*r + 10 = 5*z. Factor -z*l - 2 - 1/8*l**3 - 9/8*l**2.
-(l + 1)*(l + 4)**2/8
Let o(r) be the third derivative of r**6/420 - r**5/70 - r**4/21 - 10*r**2 + 2. Factor o(h).
2*h*(h - 4)*(h + 1)/7
Let a(c) be the third derivative of c**7/1785 + c**6/510 - c**4/102 - c**3/51 - 2*c**2. Let a(x) = 0. Calculate x.
-1, 1
Factor -12*a**2 - 24*a + 9*a + 5 - 6 - 5 - 3*a**3.
-3*(a + 1)**2*(a + 2)
Let f(s) be the first derivative of -s**5/8 + 3*s**4/16 + s**3/2 - 5*s**2/2 - 5. Let n(b) be the second derivative of f(b). Factor n(a).
-3*(a - 1)*(5*a + 2)/2
Let -10 - 3*b**3 + b**3 + 6 + 6*b = 0. Calculate b.
-2, 1
Factor -2/9*a**3 + 4/9*a**2 + 0 + 0*a.
-2*a**2*(a - 2)/9
Let g(u) be the second derivative of u**5/2 - u**4/3 - 5*u**3/3 + 2*u**2 - 13*u. Let g(f) = 0. Calculate f.
-1, 2/5, 1
Let x(s) be the first derivative of 2*s**3/15 - 3*s**2/5 + 4*s/5 - 7. Factor x(t).
2*(t - 2)*(t - 1)/5
Let y(g) be the third derivative of g**5/40 + g**4 + 15*g**3/4 + 3*g**2 + 12. Determine n, given that y(n) = 0.
-15, -1
Let w = 15 + -29/2. Let t be (-26)/(-36) + 6 + (-56)/9. Find r such that 0 + w*r**4 + t*r**3 - 1/2*r - 1/2*r**2 = 0.
-1, 0, 1
Let c(h) be the second derivative of -8*h + 1/45*h**6 - 1/9*h**3 - 2/9*h**2 + 7/90*h**5 + 0 + 1/18*h**4. What is p in c(p) = 0?
-1, 2/3
Suppose 0 = -4*r - o + 11, 2*r + 0 = 2*o + 8. Suppose 0*x - r*x = -6. Factor c**3 - 2*c**x + 3*c**3 + 0*c**2.
2*c**2*(2*c - 1)
Let n be 9/(18/8) + -4. Let o(z) be the second derivative of z + n*z**3 + 0 + 0*z**2 - 1/30*z**4. Factor o(x).
-2*x**2/5
Let 6*v - 3 + 2 + 3*v**2 + 1 = 0. Calculate v.
-2, 0
Suppose 0*p**4 + 0*p**2 - 3/4*p**5 + 0*p + 0 + 3/4*p**3 = 0. Calculate p.
-1, 0, 1
Factor -1/4 - 1/8*h**2 + 3/8*h.
-(h - 2)*(h - 1)/8
Let n = 2 + -5/3. Factor 0 + n*i**3 - 1/3*i + 0*i**2.
i*(i - 1)*(i + 1)/3
Determine p, given that -p**2 + 2*p**2 - 48 + 47 = 0.
-1, 1
Let i(f) be the third derivative of -1/30*f**5 + 0*f**4 + 0*f**3 - 1/35*f**7 - 1/20*f**6 + 0 + 0*f - 1/168*f**8 + 3*f**2. Determine q, given that i(q) = 0.
-1, 0
Find t, given that 12*t**2 - 9*t**2 + 0*t**2 + 3*t = 0.
-1, 0
Let a be 0 - (-1*2 - 2). Factor -a*i**2 - 2*i**3 + i**3 - i**3.
-2*i**2*(i + 2)
Let r be 408/272*1/4. Factor 0 - 3/4*m**4 + r*m + 3/4*m**2 - 3/8*m**5 + 0*m**3.
-3*m*(m - 1)*(m + 1)**3/8
Let s(d) = d**3 + 11*d**2 - 42*d + 2. Let b be s(-14). Factor -1/2*r**b - 1/2*r + 0.
-r*(r + 1)/2
Let l = -8 + 9. Let c(f) = 2*f. Let q be c(l). Let -2/3 - 8/3*j**q - 10/3*j = 0. What is j?
-1, -1/4
Let r(t) be the third derivative of t**8/6720 + t**7/840 + t**5/20 + 3*t**2. Let j(s) be the third derivative of r(s). Factor j(h).
3*h*(h + 2)
Suppose 0 = -2*s + 17 - 13. Factor 0 + 8/3*y + 8/3*y**2 - s*y**3.
-2*y*(y - 2)*(3*y + 2)/3
Let b be -3 + (-2 - -1) - 8. Let h be b/56*(-8)/6. Factor 6/7*i + h*i**3 - 6/7*i**2 - 2/7.
2*(i - 1)**3/7
Suppose -2*q = -11 - 1. Suppose q*w + 2*w**2 - w + 8 + 3*w = 0. Calculate w.
-2
Factor 2*m**3 - 8*m**3 - 4*m**2 + 0*m**2 - 2*m + 4*m.
-2*m*(m + 1)*(3*m - 1)
Let h = -9/4 + 15/4. Suppose 0 + 1/3*s - h*s**3 + 7/6*s**2 = 0. What is s?
-2/9, 0, 1
Let s(z) be the second derivative of -z**4/18 + z**3/9 + 2*z**2/3 - 17*z. Determine o, given that s(o) = 0.
-1, 2
Let i(j) be the second derivative of j**5/70 - j**4/14 + j**3/7 - j**2/7 - 35*j. Factor i(k).
2*(k - 1)**3/7
Let q(j) = 44*j**2 - 56*j + 34. Let m(t) = 4*t**2 - 5*t + 3. Let v(o) = 68*m(o) - 6*q(o). Factor v(p).
4*p*(2*p - 1)
Let b(l) be the first derivative of -2*l**5/5 + l**4 - 2*l**2 + 2*l + 9. Factor b(i).
-2*(i - 1)**3*(i + 1)
Let r(i) be the first derivative of 1/8*i**2 + 9 + 1/12*i**3 - 1/2*i. Factor r(m).
(m - 1)*(m + 2)/4
Solve -1/2*z**3 - 1/2*z**2 + 0*z + 1/2*z**5 + 1/2*z**4 + 0 = 0.
-1, 0, 1
Let w(x) be the second derivative of 25*x**7/9 - 332*x**6/9 + 3463*x**5/30 + 1181*x**