**3 + q**3 + 2*q**2 + u*q - 11.
-2*(q - 1)**2*(q + 1)
Let l = -610/7 - -12207/140. Let r(y) be the first derivative of 1/25*y**5 - l*y**4 - 2/5*y + 6 - 1/5*y**3 + 1/2*y**2. Find i such that r(i) = 0.
-2, 1
Let r(g) = -g**2 - g - 1. Let k(a) = -15*a**2 + 41*a - 27. Let c(d) = -k(d) + 3*r(d). Determine v, given that c(v) = 0.
2/3, 3
Let g(u) = 19*u**2 + 173*u - 33. Let r(h) = -10*h**2 - 86*h + 18. Let b(o) = -6*g(o) - 11*r(o). Factor b(d).
-4*d*(d + 23)
Factor -2/19*p**3 + 20/19 + 24/19*p**2 - 42/19*p.
-2*(p - 10)*(p - 1)**2/19
Let j(t) = -t**2 - 17*t + 308. Let o be j(-28). Let z(n) be the first derivative of -15/4*n**4 - 9/10*n**5 - 2*n**3 + 6*n**2 + 1 + o*n. Factor z(q).
-3*q*(q + 2)**2*(3*q - 2)/2
Suppose -v - 9*t + 3 = -6*t, -v + 4*t = -3. Factor 12*q**v + 4/3*q**5 - 28/3*q**2 + 8/3*q - 20/3*q**4 + 0.
4*q*(q - 2)*(q - 1)**3/3
Let r = 634/5 + -4967/40. Factor 3/8*i**3 - r*i - 3/4*i**2 - 3/2.
3*(i - 4)*(i + 1)**2/8
Let i(q) = 12*q**2 + 99*q + 321. Let u(z) = -3*z**2 - 25*z - 80. Suppose -6*p + 4*p = 42. Let v(d) = p*u(d) - 5*i(d). Factor v(o).
3*(o + 5)**2
Let c(r) be the second derivative of r**7/84 + r**6/30 - 3*r**5/20 - r**4/6 + 13*r**3/12 - 3*r**2/2 + 198*r. Factor c(b).
(b - 1)**3*(b + 2)*(b + 3)/2
Let c(l) be the third derivative of l**6/630 + l**5/210 - l**4/21 + 17*l**3/2 - 6*l**2. Let t(q) be the first derivative of c(q). Factor t(z).
4*(z - 1)*(z + 2)/7
Let v(x) = -8*x**2 + 13*x + 16. Let a(z) be the second derivative of -z**4/3 + z**3 + 4*z**2 + 2*z + 3. Let d(g) = 5*a(g) - 2*v(g). Factor d(k).
-4*(k - 2)*(k + 1)
Let p(t) be the third derivative of -t**7/1260 - t**6/360 + t**4/4 + 10*t**2. Let r(h) be the second derivative of p(h). Let r(g) = 0. What is g?
-1, 0
Let y = 2601 + -2601. Factor 1/6*z + y - 7/6*z**2.
-z*(7*z - 1)/6
Let m = 30 - 28. Factor 61*u**m + u - u - 65*u**2 + 4.
-4*(u - 1)*(u + 1)
Let d be (2/(-6))/((-65)/60 - -1). Determine t so that 3*t**4 - 15*t**3 - d*t**5 + t**4 + 15*t**3 = 0.
0, 1
Let z be (((-105)/20)/(-7))/((-3)/72). Let j be -1 + 1 - (4 + 84/z). Factor 0*r + j*r**2 - 8/3.
2*(r - 2)*(r + 2)/3
Let k = -22 + 44. Let u = k - 17. Determine f, given that 2*f**4 + 2/3*f**u + 2*f**3 + 0 + 2/3*f**2 + 0*f = 0.
-1, 0
Let m = 186 - 182. Let d be (-60)/234*(-18)/15. What is t in 0 - 4/13*t**3 - 2/13*t**m + 2/13*t**2 + d*t = 0?
-2, -1, 0, 1
Let x be (-1)/(-4) + 11/4. Let b be 3/(-8) + (2*4 - 60229/8136). Suppose 8/9*p**2 + 0 + b*p + 8/9*p**x = 0. What is p?
-1/2, 0
Let g(s) = 7*s**4 - 2*s**3 - 25*s**2 + 4*s + 22. Let x(h) = 50*h**4 - 15*h**3 - 175*h**2 + 30*h + 155. Let q(z) = 15*g(z) - 2*x(z). Suppose q(a) = 0. What is a?
-2, -1, 1, 2
Let n(b) = 16*b**3 + 2*b**2 - 16*b - 4. Let c(y) be the first derivative of -31*y**4/4 - y**3 + 31*y**2/2 + 8*y - 1. Let m(g) = 2*c(g) + 5*n(g). Factor m(j).
2*(j - 1)*(j + 1)*(9*j + 2)
Let 48*h - 96 - 8*h**2 + 4/9*h**3 = 0. Calculate h.
6
Let i(k) be the third derivative of k**7/1260 + k**6/60 - k**5/120 - 19*k**4/72 - 2*k**3/3 + 92*k**2. Suppose i(v) = 0. What is v?
-12, -1, 2
Let f be (-920)/1380*(1 - 4). Factor 0 - 6/5*b**f + 4/5*b.
-2*b*(3*b - 2)/5
Let m be (6 + 141/(-24))/(((-90)/(-24))/15). Let c be 32/14 + (-8)/28. Factor 1/2*u**2 - m - c*u**3 + 2*u.
-(u - 1)*(u + 1)*(4*u - 1)/2
Let f(m) be the first derivative of m**6/4 + 3*m**5/10 - 9*m**4/8 - 5*m**3/2 - 3*m**2/2 + 58. Find k such that f(k) = 0.
-1, 0, 2
Let g = 5835 + -5828. Factor -g*b**2 + 0 - 11/2*b**3 - 2*b - 5/4*b**4.
-b*(b + 2)**2*(5*b + 2)/4
Let n(j) = j**3 + j - 1. Let a(s) = 2*s**4 - 13*s**3 + 27*s - 27. Let p = -131 + 121. Let i(t) = p*n(t) - 2*a(t). Solve i(r) = 0 for r.
-2, 2
Let z(u) = 2*u**3 + 4*u**2 + 2*u. Let a(f) = 2*f**3 + 4*f**2 + 2*f. Let j be (-7 - -4)*(-10)/(-3). Let y be j/(-6)*3/1. Let m(g) = y*z(g) - 4*a(g). Factor m(h).
2*h*(h + 1)**2
Let b(g) be the first derivative of 0*g**2 - 5/6*g**3 + 2*g + 17 + 1/10*g**5 + 0*g**4. Suppose b(k) = 0. What is k?
-2, -1, 1, 2
Suppose 0 = -5*a + 4*a + 4*h - 11, 4*h = -4*a + 36. Factor 3/8*l**4 + 0*l - 3/8*l**3 - 1/8*l**a + 1/8*l**2 + 0.
-l**2*(l - 1)**3/8
Let h(f) be the second derivative of f**5/80 + 19*f**4/24 + 361*f**3/24 + 627*f. Factor h(y).
y*(y + 19)**2/4
Let j(n) be the first derivative of -2*n**3/21 + 2*n**2 - 26*n/7 + 32. What is l in j(l) = 0?
1, 13
Let q(i) = 11*i**2 - 71*i + 72. Let s(w) = 155*w**2 - 995*w + 1010. Let z(c) = 85*q(c) - 6*s(c). Factor z(f).
5*(f - 12)*(f - 1)
Let w(t) be the first derivative of t**6/3 + 2*t**5 + 5*t**4 + 20*t**3/3 + 5*t**2 + 2*t + 29. Factor w(f).
2*(f + 1)**5
Let n(z) be the second derivative of -z**4/66 + 10*z**3/33 - 25*z**2/11 - 2*z - 25. Factor n(q).
-2*(q - 5)**2/11
Let j = 237 + -235. Let l(o) be the second derivative of -1/3*o**4 - 5*o - j*o**2 - 4/3*o**3 + 0. What is p in l(p) = 0?
-1
Let d(n) be the third derivative of n**8/57120 + n**7/21420 - n**6/3060 + n**4/12 - 6*n**2. Let j(m) be the second derivative of d(m). Factor j(l).
2*l*(l - 1)*(l + 2)/17
Find z, given that 4*z**4 + 4*z**4 + 13*z**3 - 8*z**4 + 4*z**4 + 11*z**2 + 2*z = 0.
-2, -1, -1/4, 0
Let w be (2 - -2) + 4 + -6. Let t(c) be the third derivative of 1/150*c**5 + 0*c**3 - 1/60*c**4 + 4*c**w + 0*c + 0. Factor t(h).
2*h*(h - 1)/5
Let s(j) be the third derivative of -1/3*j**4 - 1/120*j**6 - 2/3*j**3 + 0 + 17*j**2 + 0*j - 1/12*j**5. Factor s(r).
-(r + 1)*(r + 2)**2
Let c be 2 + (-3)/(-12)*-7. Suppose -2*y - 6 = 5*k, -3*y - 68 + 59 = 4*k. Factor c*f**3 + k*f + 0*f**2 + 0.
f**3/4
Factor 0 + 2/19*y**3 - 2/19*y**2 + 0*y.
2*y**2*(y - 1)/19
Let z(f) be the second derivative of -f**5/8 + 5*f**4/6 + 131*f. Factor z(o).
-5*o**2*(o - 4)/2
Let i(x) be the second derivative of -x**6/10 - 3*x**5/5 - x**4/2 + 2*x**3 + 9*x**2/2 - 19*x - 17. Factor i(a).
-3*(a - 1)*(a + 1)**2*(a + 3)
Let n = -1067/6 + 79/3. Let s = n + 155. Factor -1/2*i**2 - 19/2*i**4 - s*i**5 + i + 0 - 15/2*i**3.
-i*(i + 1)**3*(7*i - 2)/2
Let l(f) be the third derivative of f**9/37800 - f**8/6720 + f**7/3150 - f**6/3600 - 5*f**4/8 - 7*f**2. Let c(g) be the second derivative of l(g). Factor c(i).
i*(i - 1)**2*(2*i - 1)/5
Let h = 85 - 83. Let y be h + 1 + -1 + 4 + -4. Let -3/4*t**4 + 0*t**3 + 3/4*t**y + 0*t + 0 = 0. Calculate t.
-1, 0, 1
Let y = 7471 + -127005/17. Solve 2/17*c**2 - y*c - 24/17 = 0.
-3, 4
Let u = -1 + -2. Let j be ((-10)/35)/(u + (-54)/(-21)). Factor -j*l**3 + 2/3*l - 2/3*l**2 + 2/3.
-2*(l - 1)*(l + 1)**2/3
Let k(z) = 2*z**2 + 1. Let t(c) = -10*c**3 - 72*c**2 - 106*c + 22. Let l(y) = 2*k(y) + t(y). Let l(q) = 0. What is q?
-4, -3, 1/5
Suppose -7*f = -25 - 87. Suppose -5*l + f = 6. Factor -1/3*v**l + 0*v + 1/3.
-(v - 1)*(v + 1)/3
Let n = 104 - 92. Let s be 7/((-56)/n)*(-1)/3. Factor 3/2*m**2 - s*m + 1/2*m**3 - 3/2.
(m - 1)*(m + 1)*(m + 3)/2
Let w(j) be the third derivative of j**5/20 + j**4 - 10*j**3 - 2*j**2 + 20. Factor w(h).
3*(h - 2)*(h + 10)
Let r(o) = 3*o**4 + 216*o**3 + 1110*o**2 + 1998*o + 1344. Let g(f) = -f**4 - 62*f**3 - 317*f**2 - 571*f - 384. Let j(i) = 18*g(i) + 5*r(i). Factor j(d).
-3*(d + 2)**2*(d + 4)**2
Let t(m) be the third derivative of -5*m**2 + 0*m**6 + 1/42*m**7 + 0*m + 0*m**3 + 0 + 0*m**5 + 0*m**4. Determine b so that t(b) = 0.
0
Let h be (6/(-8))/(14/(-56)). Let -5*g**h + 7*g**3 - 4*g**2 - 11*g + 11*g = 0. Calculate g.
0, 2
Let r be 1 - (-6)/(-8) - (-2618)/56. Find b such that 605*b - 94*b**4 + r*b**4 + 42*b**4 + 115*b**3 - 715*b**2 = 0.
0, 1, 11
Suppose -l + 6 = 5*u - 7*u, -4*u = -4*l + 12. What is b in 6/7*b - 2/7*b**3 + l + 4/7*b**2 = 0?
-1, 0, 3
Let f(y) = y**2 + 1. Let o(m) = 5*m**2 + 2*m + 4. Suppose 11*g - 15*g = -4. Let q(h) = g*o(h) - 4*f(h). Solve q(b) = 0.
-2, 0
Suppose -5*s = -5*z + 680, 0 = 3*z - 5*s - 366 - 40. Let d = z + -135. Solve -8/3 - 32*f**d - 20*f - 44/3*f**3 = 0.
-1, -2/11
Let o(l) be the third derivative of -l**7/2415 + 7*l**6/1380 - l**5/69 - 2*l**2 + 122*l. Determine a so that o(a) = 0.
0, 2, 5
Let f(j) be the second derivative of -j**7/210 - j**6/150 + 3*j**5/100 + j**4/12 + j**3/15 + 75*j. Factor f(s).
-s*(s - 2)*(s + 1)**3/5
Let j(s) = -14*s**2 + 23*s - 6. Suppose 5*p + 14 - 34 = 0. Let x(g) = g**2 - g. Let n(v) = p*x(v) + j(v). Determine b so that n(b) = 0.
2/5, 3/2
Let x(m) be the first derivative of 1/3*m**3 - 3*m**2 - 5/8*m**4 - 9 + 0*m + 13/60*m**5. Let k(h) be the second derivative of x(h). Find q such that k(q) = 0.
2/13