- 2*b**3 - b**3 + 2*b**3 + 7*b**2 = 0 for b.
-1, 0, 7
Let d(f) be the second derivative of f**5/70 + 2*f**4/21 - f**3/3 - 10*f**2/7 + 183*f. Let d(a) = 0. What is a?
-5, -1, 2
Let n(a) = -3*a**3 + 60*a**2 + 126*a + 12. Let r(h) = -h**2 - h - 2. Let y(c) = -n(c) - 6*r(c). Solve y(b) = 0 for b.
-2, 0, 20
Determine f, given that -3*f**2 + 2862*f + 4*f**2 - 2868*f - 40 = 0.
-4, 10
Let r be 2*26/12 - 5/15. Suppose 3*f = 7*f + 4*j - r, 4*j + 24 = 3*f. Solve 15/4*v**3 - f*v**2 - v**4 + 3/4*v + 1/2 = 0.
-1/4, 1, 2
Let s be ((-12)/10)/(6*(-6)/270). Let h be (-1)/((6/12)/(s/(-30))). Factor -6/5*t + 3/5*t**2 + h.
3*(t - 1)**2/5
Suppose 5*f = 3*f + 30. Suppose -9 = -3*a - u, -4 = 4*a + u - f. Determine l, given that 14/3*l**a + 4/3*l**3 - 11/3*l + 7/3*l**5 + 2/3 - 16/3*l**4 = 0.
-1, 2/7, 1
Suppose -2*g + 1 = -3*f, -3*f + 3*g + 5 = -5*f. Let x(p) = p**2. Let k(t) = -3*t**3 + 17*t**2 - 12*t. Let s(w) = f*k(w) + 5*x(w). Suppose s(v) = 0. Calculate v.
0, 2
Let j be (4324/7567)/(2/7). What is z in 6*z + 1/6*z**5 + 61/6*z**3 + 7/3*z**4 + 14*z**j + 0 = 0?
-6, -1, 0
Let r(o) be the third derivative of -o**5/420 - 5*o**4/42 - 19*o**3/42 + 40*o**2 + 3*o. Factor r(m).
-(m + 1)*(m + 19)/7
Let w(q) = -q**2 - 5*q + 0*q**2 + q. Let a(c) = 2*c - 3. Let z(v) = v - 2. Let h(b) = -2*a(b) + 3*z(b). Let j(m) = -2*h(m) + w(m). Let j(y) = 0. Calculate y.
-2, 0
Suppose 0*t - 2*t = 4*r - 14, 3*r + t - 9 = 0. What is u in 2*u**3 + 43 + 37 - 32 + 20*u**r + 28*u + 28*u = 0?
-6, -2
Let r(z) be the first derivative of -7*z**3/3 - 31*z**2/4 - 3*z + 33. Find v such that r(v) = 0.
-2, -3/14
Let b be (0 - 2/10) + (-90668)/(-190). Solve -b*v + v**2 + 489*v + 3*v**2 = 0.
-3, 0
Factor 200/3 - 32*r - 2/3*r**2.
-2*(r - 2)*(r + 50)/3
Let f(l) be the first derivative of 4/3*l**4 - 1 + 0*l + 4/3*l**3 - 3/2*l**2 + 7/30*l**5. Let q(t) be the second derivative of f(t). Factor q(y).
2*(y + 2)*(7*y + 2)
Suppose -53*w = -54*w - 2. Let n(v) = 50*v**2 + 260*v. Let z(q) = 7*q**2 + 37*q. Let h(k) = w*n(k) + 15*z(k). Find g, given that h(g) = 0.
-7, 0
Let u(w) be the first derivative of -w**3/18 - 11*w**2/4 - 16*w/3 - 470. Factor u(o).
-(o + 1)*(o + 32)/6
Let u be -26 + 18 + 104/12. Determine w, given that 1/3*w**2 - 1 + u*w = 0.
-3, 1
Solve -32/5*y - 12/5*y**3 - 56/5*y**2 + 0 = 0.
-4, -2/3, 0
Let r(n) = -n**3 - 11*n + 6. Let w(k) = -3*k**3 - 3*k**2 - 34*k + 19. Let f(c) = -21*r(c) + 6*w(c). Let f(o) = 0. What is o?
1, 4
Let u(g) be the third derivative of g**8/420 + g**7/210 - g**6/90 - g**5/30 + 5*g**3/2 + 21*g**2. Let h(d) be the first derivative of u(d). Factor h(j).
4*j*(j - 1)*(j + 1)**2
Suppose 8*l - 8*l = 5*l. Suppose -3*n + j + 4 = 0, l*n - 2*n + 5*j - 6 = 0. Determine a so that -2/23*a**n - 4/23*a + 0 = 0.
-2, 0
Let l = -19 - -11. Let s = -6 - l. Factor -i + 7*i + s*i**3 - 3*i - 6*i**2 + i.
2*i*(i - 2)*(i - 1)
Let a be (-21)/(-9) - (-24 - -25). Suppose -4/3*b**2 + a*b**4 - 8/3*b**3 + 0 + 2/3*b**5 + 2*b = 0. What is b?
-3, -1, 0, 1
Let a(f) be the second derivative of -f**8/840 - f**7/420 + 5*f**3/6 - f**2/2 + 2*f + 25. Let o(u) be the second derivative of a(u). Factor o(h).
-2*h**3*(h + 1)
Let a = -1186 - -1190. Let i(u) be the third derivative of -1/3*u**6 + 1/3*u**5 + 0*u + 1/7*u**7 - 1/3*u**3 + 0*u**a - 1/42*u**8 + 9*u**2 + 0. Factor i(y).
-2*(y - 1)**4*(4*y + 1)
Suppose 5*n - 3*z = 3*n + 5, -5*n - 2*z = -22. Factor -9 + r**2 - 11 + 24 + n*r.
(r + 2)**2
Find f such that -3/7 - 47/7*f - 176/7*f**2 + 64/7*f**3 = 0.
-1/8, 3
Let j(b) be the first derivative of 17*b**6/21 - 64*b**5/35 + 13*b**4/14 + 4*b**3/21 - 449. Solve j(s) = 0.
-2/17, 0, 1
Let i be (6/4)/((-3)/(-18)). Let j be (-20)/30 - (-24)/i. Factor 0*f + 0 + 2/5*f**j.
2*f**2/5
Suppose -2*a = 2*a + 20. Let b be a*(-2 - 1/(-1)*1). Factor -1/3*p**b + 0*p**4 + 0*p**2 + 1/3*p**3 + 0 + 0*p.
-p**3*(p - 1)*(p + 1)/3
Factor -357911/4 + 1/4*b**3 + 15123/4*b - 213/4*b**2.
(b - 71)**3/4
Let x(p) be the third derivative of -25*p**7/42 - 15*p**6/8 + 13*p**5/2 - 43*p**4/6 + 4*p**3 + p**2 - 6. Suppose x(v) = 0. What is v?
-3, 2/5
Let m(c) be the second derivative of c**6/80 - c**5/24 - c**4/12 + c**3/3 - 3*c**2/2 - 5*c. Let o(s) be the first derivative of m(s). Factor o(g).
(g - 2)*(g + 1)*(3*g - 2)/2
Let j(t) = t + 14. Let a be j(-19). Let q(h) = 3*h**2 - 20. Let r(c) = 5*c**2 - 40. Let n(b) = a*q(b) + 2*r(b). Suppose n(m) = 0. Calculate m.
-2, 2
Let x be (3 - 4)/(1/(-4)). Let u be 3 + 4/(-2) + x. Factor 3*o**4 + 7*o**5 - u*o**4 - 8*o**5.
-o**4*(o + 2)
Let a be ((-15)/(-6))/(-5)*(2 - 12). Determine t so that 89 - 16*t**5 + 9*t + a*t**3 + 2*t**3 - 90 + 24*t**4 - 23*t**2 = 0.
-1, 1/4, 1
Let a be (-144)/(-40) + 4/10. Suppose 0 = -x - 1 + a. Factor -3*r - x - 5*r - r**2 + 1 - 14.
-(r + 4)**2
Let m(d) be the third derivative of d**7/140 - 23*d**6/80 + 43*d**5/40 - 21*d**4/16 + 4*d**2 + 7*d. Factor m(q).
3*q*(q - 21)*(q - 1)**2/2
Determine s so that -52/17*s**3 + 8/17*s + 8/17*s**5 + 0 + 18/17*s**4 + 18/17*s**2 = 0.
-4, -1/4, 0, 1
Let t(r) = -2*r**3 - r**2 - r + 1. Let b(i) = -6*i**3 + 2*i**2 - 4*i + 2. Let v(q) = -2*b(q) + 4*t(q). Let v(w) = 0. Calculate w.
0, 1
Let -20/3*b**3 + 20/3*b + 2/3*b**4 - 2/3*b**2 + 0 = 0. Calculate b.
-1, 0, 1, 10
Let y = 40430 - 80859/2. Factor -y*c**2 - 8*c - 32.
-(c + 8)**2/2
Let k(d) be the second derivative of -d**5/150 - 4*d**4/45 - 11*d**3/45 + 4*d**2/3 + 302*d. Factor k(q).
-2*(q - 1)*(q + 4)*(q + 5)/15
Suppose -u + 3 + 2 = 0. Let q be (4/u)/((-6)/(-15)). Factor 15*b + 8*b**3 - 8*b - 2 - 39*b**q + 16*b**4 + 10*b.
(b - 1)*(b + 2)*(4*b - 1)**2
Let -348/7 - 6/7*q**2 + 354/7*q = 0. Calculate q.
1, 58
Let c(k) = -k**4 - k**3 - k**2 - 1. Let n(d) = -2*d**4 - 40*d**3 + 80*d**2 - 41*d - 1. Let o(u) = c(u) - n(u). Factor o(r).
r*(r - 1)**2*(r + 41)
Suppose -2*r = 8 - 12. Let g(d) be the first derivative of 0*d - 1/10*d**5 + 1 + 1/4*d**4 - 1/6*d**3 + 0*d**r. Suppose g(v) = 0. Calculate v.
0, 1
Let y(z) be the second derivative of -5*z**7/49 - 3*z**6/5 - 57*z**5/70 + 17*z**4/14 + 24*z**3/7 + 12*z**2/7 - 54*z. What is f in y(f) = 0?
-2, -1, -1/5, 1
Let m be (-8 - -2)/(-24) + 7/(-60). Suppose -m*j + 0 + 2/15*j**2 = 0. What is j?
0, 1
Let n(k) be the third derivative of k**5/140 - 3*k**4/56 - 14*k**2. Find h, given that n(h) = 0.
0, 3
Suppose -29*x + 10 + 106 = 0. Determine o, given that 0 - 76/5*o**3 - 6/5*o**5 - 8*o**x + 18/5*o - 24/5*o**2 = 0.
-3, -1, 0, 1/3
Let d(n) be the first derivative of -4/21*n**3 + 7 + 0*n**2 + 1/7*n**4 + 0*n. Determine j so that d(j) = 0.
0, 1
Let l be (39/(-6) - -3)/((-1)/(-6)). Let w = l + 23. Let 0 - 3*f**w - 3/2*f**3 - 3/2*f = 0. What is f?
-1, 0
Let a(x) be the first derivative of 164*x**5/5 + 122*x**4 + 160*x**3 + 76*x**2 - 4*x + 344. Factor a(s).
4*(s + 1)**3*(41*s - 1)
Let m(v) be the second derivative of v**7/147 - v**6/105 - 3*v**5/70 + v**4/42 + 2*v**3/21 + 4*v + 23. What is x in m(x) = 0?
-1, 0, 1, 2
Let s(g) = -3*g**3 + 40*g**2 + 59*g - 101. Let j(o) = 2*o**3 - 20*o**2 - 30*o + 50. Let b(a) = -5*j(a) - 2*s(a). Let b(y) = 0. Calculate y.
-2, 1, 6
Let k be (-74)/(-3) - (-3)/9. Suppose 0 = 2*a + 3*t - k, 8 = 2*a + 2*t - 14. Solve -a*l**2 - 4 + 5 + 5*l**2 - 2*l**3 = 0.
-1, 1/2
Suppose r - 3*w = 9, -4*r + 9*r = -2*w + 11. Let -2 - g**4 + 2*g**r - 2*g - 2 + 5 = 0. What is g?
-1, 1
Let f(a) = -a**2 - a + 8. Suppose -2*m - u - 1 = 1, 0 = -3*m + 5*u - 29. Let p be f(m). Let -2/5*k**p + 0 + 0*k = 0. What is k?
0
Let s = -3169 + 313790/99. Let t = 7/9 - s. Factor 0*d + 0 + t*d**2.
2*d**2/11
Let g(t) be the second derivative of -t**5/20 - t**4/3 - t**3/6 + t**2 - 6*t. Let o be g(-4). Factor -9*h**3 + h - o*h**3 - h**4 + 14*h**3 + h**2.
-h*(h - 1)*(h + 1)**2
Let t(n) = 2*n**2 - 17*n - 9. Let k(w) = -7*w**2 + 3*w + 4. Let u(q) = 15*q**2 - 5*q - 8. Let z(r) = 13*k(r) + 6*u(r). Let v(x) = 6*t(x) + 10*z(x). Factor v(y).
2*(y - 7)*(y + 1)
Let h be (-3)/(-9)*3 - -3. Factor -3 + 41*t - 5 - h*t**2 - 29*t.
-4*(t - 2)*(t - 1)
Let h(y) = 23*y**3 + 38*y**2 - 8*y. Let f(j) = -8*j**3 + 8*j - 5*j - 5*j**2 - 3*j**2 - 5*j**2. Let o(m) = 8*f(m) + 3*h(m). Factor o(c).
5*c**2*(c + 2)
Let w be (-3)/(-6)*(-344)/(-301). Solve -6/7 - w*k**2 + 2*k = 0.
1/2, 3
Let -46/7*l - 2/7*l**2 + 48/7 = 0. What is l?
-24, 1
Let t = 107/3 - 1453/42. Let q(x) be the second derivative of 10*x**2 + 20*x**3 + 67/4*x**5 + 95/4*x**4 + 13/2*x**6 + 6*