= -4*b. Suppose -l = l - 2*z - 4, 0 = -2*l + z + 5. Solve 0*q - 4/3*q**l + 2/3 - t*q**2 = 0.
-1, 1/2
Let n(k) be the first derivative of k**3/3 + 3*k**2/2 - 81. Factor n(b).
b*(b + 3)
Factor -20*u + 548 + 477 - u**2 - 1076.
-(u + 3)*(u + 17)
Let z(k) = -4*k**4 - 78*k**3 - 2*k**2 + 2*k - 2. Let f(s) = -s**3 - s**2 + s - 1. Let r(n) = -2*f(n) + z(n). Suppose r(d) = 0. Calculate d.
-19, 0
Let c(l) be the third derivative of l**5/600 - 11*l**4/240 + 3*l**3/10 - 23*l**2 + 3. Determine i so that c(i) = 0.
2, 9
Let g be -13 + (-658)/(-56) - (-1 - (-85)/(-20)). Factor 0 + 3/2*x + 3/2*x**g - 11/2*x**3 + 5/2*x**2.
x*(x - 3)*(x - 1)*(3*x + 1)/2
Let t be 46 + -44 - ((-24)/(-9) - 2). Factor t*w + 2/9*w**2 + 2.
2*(w + 3)**2/9
Let n = 2 - 0. Let b(p) = 3*p**3 - 7*p**2 + 9*p - 5. Let s be b(1). Factor 0*w + s + 3/2*w**n.
3*w**2/2
Solve -2*v**3 + 4/3*v + 0 - 2*v**2 - 2*v**5 + 14/3*v**4 = 0 for v.
-2/3, 0, 1
Let r = -40/21 + 32/7. Determine w so that -152/3*w - 722/3*w**2 - r = 0.
-2/19
Let x(h) = 3*h**5 - 12*h**4 - 15*h**3 + 12*h**2 - 12*h - 24. Let u(o) = 2*o**3 - o**2 + o + 2. Let k(i) = -12*u(i) - x(i). Suppose k(r) = 0. Calculate r.
0, 1, 3
Let q(s) be the first derivative of 17 + 0*s + 3/5*s**2 - 7/5*s**3 + 9/20*s**4. Find u, given that q(u) = 0.
0, 1/3, 2
Let m(n) be the first derivative of -n**3/15 + 26*n**2/5 + 3. Factor m(i).
-i*(i - 52)/5
Let j be ((-76)/(-57))/(2/3). Determine h, given that -4 + 114*h**4 - 370*h**4 + 0*h - 448*h**3 - 51*h**2 - 189*h**j - 52*h = 0.
-1, -1/4
Let a = 8/5 - 14/15. Let v(x) be the third derivative of 1/30*x**6 + 1/2*x**4 - 1/5*x**5 - 4*x**2 - a*x**3 + 0 + 0*x. Factor v(c).
4*(c - 1)**3
Let m = -1594/5 + 319. Let j(s) be the first derivative of -3/16*s**4 + 5 + 0*s + 1/8*s**2 + 1/6*s**6 + m*s**5 - 1/6*s**3. Let j(q) = 0. Calculate q.
-1, 0, 1/2
Let f(r) = -6*r**5 + 5*r**4 - 2*r**3 + 3*r**2 + 6. Let q(m) = -7*m**5 + 6*m**4 - 3*m**3 + 4*m**2 + 8. Let h(j) = 4*f(j) - 3*q(j). Factor h(v).
-v**3*(v - 1)*(3*v + 1)
Factor -1/6*o**2 - 89/6 - 15*o.
-(o + 1)*(o + 89)/6
Factor -p**3 - 4*p**3 + p**3 + 3*p - 5*p - 30*p - 16 - 20*p**2.
-4*(p + 1)*(p + 2)**2
Let w be (-12)/((-432)/20)*(-4)/(-20). Let u(y) be the third derivative of 0 + 1/24*y**4 - w*y**3 - 3*y**2 - 1/180*y**5 + 0*y. Solve u(z) = 0.
1, 2
Let l(o) = 8*o**3 - 13*o**2 + 11*o - 13. Let u(h) be the second derivative of -h**5/20 + h**4/12 + h**2/2 - 39*h. Let v(j) = 2*l(j) + 14*u(j). Factor v(k).
2*(k - 3)*(k - 2)*(k - 1)
Let w be 24/4 + 1 + 3. Suppose 2*u - w = -k + 4, -3*u = -3*k + 15. Find o, given that 4*o**4 + 9*o**5 - 15*o**4 - 13*o**4 + 10*o**3 + k*o**3 - 3*o = 0.
-1/3, 0, 1
Factor -2/3*n**3 + 0 - 64/3*n**2 + 22*n.
-2*n*(n - 1)*(n + 33)/3
Let l be 168/585 - 88/660. Let f(n) be the first derivative of l*n**2 - 2/13*n**3 + 10 + 0*n + 1/26*n**4. Factor f(u).
2*u*(u - 2)*(u - 1)/13
Let j(l) be the second derivative of l**8/7840 + l**7/630 + l**6/315 + l**4/3 + l. Let t(d) be the third derivative of j(d). Factor t(x).
2*x*(x + 4)*(3*x + 2)/7
Let l(t) be the third derivative of -t**6/600 + t**5/75 + t**4/120 - 2*t**3/15 - 59*t**2. Let l(a) = 0. What is a?
-1, 1, 4
Let n be 10/(-4)*72/(-135). Let o(t) be the first derivative of -1/3*t**2 + 2/9*t**3 + 5 - n*t. Let o(r) = 0. What is r?
-1, 2
Let k(f) be the second derivative of f**7/2520 - f**6/216 + 7*f**5/360 - f**4/24 - 7*f**3/6 + 8*f. Let i(y) be the second derivative of k(y). Factor i(n).
(n - 3)*(n - 1)**2/3
Let i = 7602/17 + -447. Let q = i + -1/17. Find d such that -q*d**4 + 2/17*d**2 + 0 - 2/17*d + 2/17*d**3 = 0.
-1, 0, 1
Let b(w) be the second derivative of -3*w**5/20 + 87*w**4/2 - 5046*w**3 + 292668*w**2 + 148*w. Suppose b(p) = 0. Calculate p.
58
Let v(h) = 30*h - 27. Let w be v(1). Determine q so that 3/2 - 3/2*q**5 - 15/2*q - 15*q**w + 15/2*q**4 + 15*q**2 = 0.
1
Let a be 9/(-12) - (8 - (-190)/(-20)). Let x(n) be the first derivative of -n**3 - a*n**4 + 3/5*n**5 - 3 + 1/2*n**6 + 0*n + 0*n**2. Factor x(k).
3*k**2*(k - 1)*(k + 1)**2
Let n(k) = k**2 + 2*k - 116. Let i be n(10). Let d(v) be the third derivative of -v**2 + 7/20*v**5 - 1/40*v**6 - 15/8*v**i + 9/2*v**3 + 0 + 0*v. Factor d(t).
-3*(t - 3)**2*(t - 1)
Let d(a) be the second derivative of -9*a + 0 - 3/140*a**5 + 0*a**3 - 1/28*a**4 + 0*a**2. Factor d(t).
-3*t**2*(t + 1)/7
Let a(l) be the first derivative of -3*l**4/8 + 2*l**3 - 15*l**2/4 + 3*l + 5. Determine z, given that a(z) = 0.
1, 2
Suppose 0 = 2*g - 0. Let y = 6 - 4. Determine n, given that 4*n**2 - 20*n + g*n**2 - n**y + 17*n = 0.
0, 1
Suppose 5*m = -0*m + q - 5, -2*m + 5 = q. Let a(l) be the second derivative of -3/7*l**2 - 2/21*l**3 + 1/42*l**4 + m + 4*l. Let a(v) = 0. Calculate v.
-1, 3
Let y(v) be the second derivative of -v**7/21 - v**6/5 + v**5/10 + 7*v**4/6 - 4*v**2 - 114*v. Suppose y(j) = 0. What is j?
-2, -1, 1
Solve -1860/7*m + 18/7*m**5 + 18*m**4 - 158/7*m**3 - 400/7 - 2046/7*m**2 = 0 for m.
-5, -2/3, -1/3, 4
Let f = -34 + 37. Let z(t) = 4*t**3 + 8*t + 8. Let j(x) = -x**3 - 3*x - 3. Let i(m) = f*z(m) + 8*j(m). Solve i(l) = 0 for l.
0
Suppose u - 18 = -u. Let z = -9 + u. Factor -4*w + w**4 - 2*w**2 + 2*w + w**4 + 2*w**3 + z*w**3.
2*w*(w - 1)*(w + 1)**2
Let g(r) = 4*r**3 + 5. Let x(m) = 4*m**3 + 3*m - 2. Let j be x(1). Let t(a) = -3*a**3 - 4. Let o(u) = j*t(u) + 4*g(u). Solve o(v) = 0 for v.
0
Let s(l) = l**2 + l + 3. Let a be s(0). Suppose -13 = -13*d + 11*d - 3*x, -5*x = -4*d - 7. Factor -5*q**3 - 29*q**d + q**2 + q**2 - 3*q**4 + 23*q**a.
-3*q**2*(q - 3)**2
Let z(u) be the first derivative of 8/3*u**3 + 2*u**2 - 2/3*u**6 + 0*u**4 - 27 + 0*u - 8/5*u**5. What is c in z(c) = 0?
-1, 0, 1
Let w(m) = 15*m**3 - 140*m**2 + 480*m - 440. Let v(j) = 8*j**3 - 69*j**2 + 240*j - 220. Let o(r) = 5*v(r) - 3*w(r). Let o(q) = 0. What is q?
2, 11
Suppose 0 - 4/11*l - 8/11*l**5 - 2/11*l**4 - 10/11*l**2 + 24/11*l**3 = 0. What is l?
-2, -1/4, 0, 1
Let y(m) = -m**4 - m**2. Let d(x) = 15*x**4 - 6*x**3 - 33*x**2 + 108*x. Let t(g) = d(g) + 12*y(g). Factor t(c).
3*c*(c - 3)**2*(c + 4)
Let j(u) be the third derivative of u**5/630 + u**4/36 + 10*u**3/63 - 5*u**2. Find q, given that j(q) = 0.
-5, -2
Let i(n) = -n**2 + 32*n - 152. Let l be i(6). Find f, given that 0*f - 7/5*f**3 - 4/5*f**2 + 1/5*f**5 + 0 - 2/5*f**l = 0.
-1, 0, 4
Let f(k) be the third derivative of k**7/630 + k**6/360 - k**5/30 - 28*k**2. Suppose f(y) = 0. Calculate y.
-3, 0, 2
Let t(l) be the third derivative of -3/16*l**4 + 0 + 1/70*l**7 + 17*l**2 + 2/15*l**5 + 0*l - 7/120*l**6 - 1/672*l**8 + 1/6*l**3. Determine v so that t(v) = 0.
1, 2
Let n(b) = 14*b**3 - 98*b + 106. Let w(d) = -2*d**3 + 14*d - 15. Let s(m) = 6*n(m) + 44*w(m). Factor s(j).
-4*(j - 2)*(j - 1)*(j + 3)
Let d(w) be the second derivative of -w**6/60 - w**5/20 + w**4/8 - 5*w - 8. Find z, given that d(z) = 0.
-3, 0, 1
Let k(a) = -a**2 - 9*a + 14. Let j be k(-10). Suppose 6*o = j + 20. Determine v so that -2*v**2 + 3*v**2 - 5*v**2 - o*v = 0.
-1, 0
Let f(a) be the second derivative of a**8/16800 + a**7/3150 + a**6/1800 - 11*a**4/6 + 14*a. Let z(c) be the third derivative of f(c). Factor z(d).
2*d*(d + 1)**2/5
Let l(h) be the first derivative of h**4/2 - 28*h**3/3 + 45*h**2 - 723. Factor l(t).
2*t*(t - 9)*(t - 5)
Let m(x) be the first derivative of -29 + 20/9*x**3 + 0*x + 1/12*x**4 + 50/3*x**2. Find k, given that m(k) = 0.
-10, 0
Let w be 3/((-30)/4) - (-48)/70. Let c be (-6)/(-7)*(-8)/(-6). Factor 0 + w*j + c*j**2.
2*j*(4*j + 1)/7
Suppose -23 = -3*u + 60*y - 62*y, u - 17 = -3*y. Let h(d) be the first derivative of 0*d + 0*d**4 + 2/3*d**3 - 2/5*d**u + 0*d**2 + 8. Find x such that h(x) = 0.
-1, 0, 1
Solve -106/5*f + 108/5 - 2/5*f**2 = 0.
-54, 1
Suppose -5*c = -4*c - 2. Factor 47*m**2 - 25*m**c + 12 + 6*m**3 - 2*m**3 + 28*m - 2*m**2.
4*(m + 1)**2*(m + 3)
Let t = 1343 - 9325/7. Let h = -193/21 + t. Factor -h*f - 3*f**3 - 2/3 + 16/3*f**2.
-(f - 1)**2*(9*f + 2)/3
Let k(b) be the first derivative of 4*b**5/5 - 20*b**4 + 400*b**3/3 - 10. Factor k(v).
4*v**2*(v - 10)**2
Let l(t) = 5*t**4 + 3*t**3 + 7*t**2 + 15*t - 12. Let q(c) = 4*c**4 + 2*c**3 + 7*c**2 + 15*c - 13. Let w(n) = -5*l(n) + 6*q(n). Suppose w(m) = 0. Calculate m.
-3, 1, 2
Let c(y) be the second derivative of y**4/3 - 20*y**3 + 184*y. Suppose c(m) = 0. Calculate m.
0, 30
Let n(k) be the second derivative of -k**4/12 + 4*k**3/3 - 7*k**2/2 + 7*