**2 - 11*r**2 + 3*r**2 + w.
-5*(r - 1)*(r + 1)
Let d = 3587/18 - 286/9. Let k = d - 167. Determine o so that 0 + o**2 - k*o = 0.
0, 1/2
Let l(k) be the third derivative of -2/39*k**3 + 0 + 1/195*k**6 + 4*k**2 - 4*k - 1/30*k**5 + 11/156*k**4. Factor l(x).
2*(x - 2)*(x - 1)*(4*x - 1)/13
Let h(o) = -6*o**3 - 18*o**2 - 8*o - 4. Let s be 250/(-50) - (1 - 3). Let k(g) = -5*g**3 - 16*g**2 - 8*g - 3. Let x(u) = s*h(u) + 4*k(u). Factor x(r).
-2*r*(r + 1)*(r + 4)
Factor 25/3*o**3 + 1/3*o**4 + 42*o**2 + 236/3*o + 152/3.
(o + 2)**3*(o + 19)/3
Let z(d) be the second derivative of -1/55*d**6 - 32*d - 1/110*d**5 + 1/231*d**7 + 0*d**2 + 1/22*d**4 + 0*d**3 - 2. Let z(v) = 0. What is v?
-1, 0, 1, 3
Let j(r) be the first derivative of -16*r + 80 - 7*r**4 - 2/3*r**6 - 4/3*r**3 + 4*r**5 + 16*r**2. Suppose j(p) = 0. Calculate p.
-1, 1, 2
Suppose -19*m + 18*m = -10, -5*u + 2*m - 6 = 14. Suppose u*i + 4/5 - 4/5*i**2 = 0. What is i?
-1, 1
Let n(y) = 372*y + 2241. Let l be n(-6). Let t(k) be the first derivative of -44 + 15*k + 9/2*k**4 - 5*k**3 - l*k**2. Suppose t(a) = 0. Calculate a.
-1, 5/6, 1
Let c(k) be the first derivative of -k**3/15 - 146*k**2/5 + 525. Find o, given that c(o) = 0.
-292, 0
Suppose s + 364 = 369. Factor -31*p - s*p**2 - 8 + 25*p - 26*p - 57 - 38*p.
-5*(p + 1)*(p + 13)
Suppose 0 = -17*j + 12*j. Suppose -142 = -3*o - j*l - 2*l, -o - l = -46. Suppose -o*s**3 + 8 - s**2 - s**2 + 32*s + 12*s**2 = 0. Calculate s.
-2/5, 1
Determine f, given that 0 + 44/5*f**4 + 372/5*f**3 - 4/5*f**5 + 612/5*f**2 + 0*f = 0.
-3, 0, 17
Let a(p) be the second derivative of p**7/3780 - p**6/180 + p**5/36 - p**4/2 + p. Let i(r) be the third derivative of a(r). Factor i(l).
2*(l - 5)*(l - 1)/3
Suppose g**2 - 1/4*g**3 + 9 + 41/4*g = 0. Calculate g.
-4, -1, 9
Let f be 8 + 0 + (-142402)/17810. Let s = f - -1361/2055. Factor -2/3 - s*x**2 + 4/3*x.
-2*(x - 1)**2/3
Let o(f) be the first derivative of -6*f**3 + 6*f**4 - 3/5*f**5 - 12*f**2 + 21*f - 15. Let o(b) = 0. Calculate b.
-1, 1, 7
Let m(i) be the first derivative of i**3/12 - 3205*i**2/4 + 10272025*i/4 + 2851. Let m(u) = 0. What is u?
3205
Let b(t) be the second derivative of t**6/60 + t**5/10 + t**4/8 - t**3/3 - t**2 - 241*t. Solve b(a) = 0.
-2, -1, 1
Let y be (((-52)/(-8))/13)/((-1)/(-4)). Find j, given that 0*j - 24*j + 2 + 6*j**y - 8*j - 26 = 0.
-2/3, 6
Let j(p) be the second derivative of p**5/30 + 19*p**4/18 - 22*p**3/9 - 40*p**2/3 - 1153*p. Factor j(n).
2*(n - 2)*(n + 1)*(n + 20)/3
Let c(m) = 498*m**3 - 5*m**2 - 6*m. Let a be c(-1). Let n = -2484/5 - a. Let 4/5*l**2 - n*l**4 + 2/5*l**3 - 2/5*l - 3/5 = 0. Calculate l.
-1, 1, 3
Let m be (3632/(-210) - (-316)/3318) + 19. Factor 12/5*t**2 - 6/5 - m*t**3 + 3*t.
-3*(t - 2)*(t + 1)*(3*t - 1)/5
Let c be -11 - 8/6*(-5226)/268. Let n(i) be the third derivative of -c*i**2 + 0 - 1/8*i**4 + 0*i + 1/60*i**5 + 1/3*i**3. Factor n(v).
(v - 2)*(v - 1)
Let s(w) be the third derivative of -8/5*w**3 + 0*w + 0 - 9/10*w**4 + 1/40*w**6 - 59*w**2 + 3/25*w**5. Factor s(o).
3*(o - 2)*(o + 4)*(5*o + 2)/5
Let f(i) be the second derivative of 0 + 25/12*i**4 - 1/18*i**6 + 1/2*i**5 - 66*i + 20/9*i**3 + 0*i**2. Suppose f(z) = 0. What is z?
-1, 0, 8
Factor 12501*t + 385 + 12509*t - 50007*t + 12535*t + 12510*t - t**2.
-(t - 55)*(t + 7)
Let g(m) be the first derivative of m**3/12 - 3*m**2/8 + 3673. Suppose g(k) = 0. Calculate k.
0, 3
Let z = -298038 + 3278448/11. Factor 56/11*c**2 + z*c + 4/11.
2*(4*c + 1)*(7*c + 2)/11
Let y(w) be the third derivative of -17*w**7/210 + 53*w**6/120 - 19*w**5/20 + 23*w**4/24 - w**3/3 + 375*w**2 - 2. Solve y(a) = 0 for a.
2/17, 1
Suppose 0 = 6*m + 25*m - 124. Determine c, given that -2*c**m - 38*c**2 + 8*c + 5*c**3 + 10*c + 20*c**3 - 3*c**3 = 0.
0, 1, 9
Let c(l) = -l + 0*l - 3 - l + 13. Let s be c(3). Determine u, given that 4*u**2 - 8 + 2*u**s + u**2 - 2 - 15*u**3 + 15*u + 3*u**4 = 0.
-1, 1, 2
Let b = 23413/3 - 7803. Let d(n) be the first derivative of -16*n**2 + 7*n**4 - 4*n**5 + 16*n - 7 + b*n**3 + 2/3*n**6. Determine x so that d(x) = 0.
-1, 1, 2
Let l = 13 + -10. Factor 57*b**4 + 17*b**4 - 189*b**l - 23*b**4 + 0*b**5 - 3*b**5 - 243*b**2.
-3*b**2*(b - 9)**2*(b + 1)
Let m(n) be the first derivative of n**6/39 + 24*n**5/65 - 8*n**4/13 - 68*n**3/39 + 63*n**2/13 - 4*n + 732. Let m(g) = 0. What is g?
-13, -2, 1
Factor -18*g + 0 + 1/3*g**3 + g**2.
g*(g - 6)*(g + 9)/3
Let s(c) be the second derivative of -3/10*c**5 - c - 19 + 7/12*c**4 - 1/60*c**6 - 13/4*c**2 + c**3. Factor s(l).
-(l - 1)**2*(l + 1)*(l + 13)/2
Suppose 0 = -3*t + 2*i + 31, 7*i - 2*i = 3*t - 19. Let k = 43 - t. Find x such that 7*x - 2*x**5 + 10*x**4 + 10*x**4 - 18*x**3 - 20*x**2 - k*x**3 + 43*x = 0.
-1, 0, 1, 5
Suppose -3*p + 23 + 4 = 0. Suppose 0 = 4*m + p - 17. Factor -1 + 2*f**3 + 12*f**m - 17 + 24*f + 34.
2*(f + 2)**3
Let d(s) = -2*s - 9. Let p be d(-7). Suppose 0 = -2*n - 2*x - 14, -9*n + 5*n = -2*x - 14. Factor 1/4*a**p + 0 + n*a**4 + 0*a**2 + 0*a**3 + 0*a.
a**5/4
Let g(j) be the first derivative of j**6/27 + 4*j**5/15 - j**4/18 - 4*j**3/9 - 1621. Determine f, given that g(f) = 0.
-6, -1, 0, 1
Let q(y) be the first derivative of -1/6*y**4 - y + 8/27*y**3 + 1/45*y**5 - 26 + 1/3*y**2. Solve q(k) = 0 for k.
-1, 1, 3
Let v = -31/447 + -67168/447. Let z = -2243/15 - v. Factor 2/5*o + 0 + z*o**2.
2*o*(2*o + 1)/5
Find g, given that -43*g**3 + 270*g**2 - 45*g**4 + 20*g**4 + 5*g**5 + 135*g - 810 + 5*g**4 - 17*g**3 = 0.
-3, -2, 3
Let r = 2/357 - -349/1428. Let m(p) be the first derivative of 0*p**2 + r*p**3 - 21 + 0*p. Factor m(n).
3*n**2/4
Let w = -25990 + 26002. Let x(g) be the second derivative of g**3 + 0 + 1/4*g**4 + w*g - 9/2*g**2. Determine i, given that x(i) = 0.
-3, 1
Let m(l) be the second derivative of -l**7/168 - l**6/15 + 17*l**5/40 + l**4/6 - 11*l**3/8 + l - 1959. Let m(q) = 0. What is q?
-11, -1, 0, 1, 3
Suppose -t = 3*a + 8 - 22, 0 = 2*a - 8. Let w = 137474/13 + -10574. Factor -28/13*g**3 - 32/13*g**t - 2/13*g**5 - w*g**4 - 4/13 - 18/13*g.
-2*(g + 1)**4*(g + 2)/13
Let p(g) be the second derivative of -3*g + 7/5*g**6 + 5/2*g**4 - 29/10*g**5 + 0*g**2 - 10 - 5/21*g**7 - 2/3*g**3. Let p(f) = 0. Calculate f.
0, 1/5, 1, 2
Let g(n) be the second derivative of 3*n**5/20 + 353*n**4/4 + 703*n**3/2 + 1053*n**2/2 + 2*n + 121. Factor g(c).
3*(c + 1)**2*(c + 351)
Let r(y) = -15*y + 167. Let l be r(11). Solve 2 - 11*b**2 + 3*b**2 + 6*b + l*b**3 - 12 + 10 = 0 for b.
0, 1, 3
Let z(m) be the third derivative of -m**5/480 - m**4/16 - 2*m**3/3 - 21*m**2 - 8*m. Factor z(p).
-(p + 4)*(p + 8)/8
Suppose 69*f = 19*f + 36750. Let b = -1469/2 + f. Let 0 + 1/2*o**2 + b*o**3 - 1/2*o - 1/2*o**4 = 0. Calculate o.
-1, 0, 1
Suppose -41*j - 15*j**4 + 8*j + 9*j**2 + 400 + 413 - 807 + 33*j**3 = 0. Calculate j.
-1, 1/5, 1, 2
Suppose 298 = i + 2*n, 21*n = -i + 41*n + 430. Factor -i*u**2 - 256/7*u - 1922/7*u**3 - 8/7.
-2*(u + 1)*(31*u + 2)**2/7
Let c(t) be the second derivative of -8/5*t**3 - 36/5*t**2 - 1/10*t**4 - 28*t - 1. Solve c(j) = 0.
-6, -2
Let a = 26 - 26. Let g be 4 + -2 + 1 - a/2. Factor 51*q**2 - q**3 - 35*q**2 + 4*q**3 - 19*q**g + 4*q**4.
4*q**2*(q - 2)**2
Let v(k) = k**2 + 21*k - 72. Let j be v(-24). Suppose -3*c = -2*o + 6, j = 4*o + o + 4*c - 15. Factor 0 - 1/4*x - 1/2*x**2 - 1/4*x**o.
-x*(x + 1)**2/4
Factor 167*g + 48*g - 431*g**2 + 8 + 212 + 10*g**3 - 14*g**2.
5*(g - 44)*(g - 1)*(2*g + 1)
Let y(b) = -2*b**2 - 7*b + 6. Let a be y(-4). Determine u, given that -12*u**2 - 53*u**3 + u**4 + a*u**4 + 65*u**3 - 3*u**5 = 0.
-2, 0, 1, 2
Let g(q) = -41 - 145*q + 9*q**2 + q**2 + 1026. Let u(h) = 0*h**2 + 2*h**2 + 2 - h - h**2 + 1 - 2. Let k(a) = -g(a) + 5*u(a). Solve k(p) = 0.
14
Find f, given that 537/4*f - 135/2 - 9/4*f**3 - 261/4*f**2 + 3/4*f**4 = 0.
-9, 1, 10
Let r(h) = h**2 - 2*h + 1. Let a(z) = 4*z**2 - 10*z - 3. Let p(v) = -2*a(v) + 10*r(v). Let l(k) = -k**2 + k - 16. Let q(c) = -4*l(c) - 3*p(c). Factor q(f).
-2*(f - 2)*(f + 4)
Let u(k) = -k + 1. Let q be u(-6). Suppose q*h + 11 = 8*h. Let -3*m**4 - 3 + 12*m**3 - h*m**2 - 17*m**2 + 12*m + 10*m**2 = 0. What is m?
1
Let o = -1/2783 + 2785/5566. Let a(t) be the first derivative of -1/4*t**2 - 1/10*t**5 + o*t**3 + 1/8*t**4 + 17 - t. Factor a(j).
-(j - 2)*(j - 1)*(j + 1)**2/2
Let i(f) = -2*f**4 + 40*f**3 + 76*f**2 + 22*f. Let c(u) = u**4 - 37*u**3 - 76*u**2 - 20*u. Let s(o) = -