t w(y) be the second derivative of d(y). What is h in w(h) = 0?
-1, 1, 2
Let q be 1228/(-5320) - (-1 - 9/(-15)). Let f = q + -1/38. Factor -2/7 - f*b + 1/7*b**2.
(b - 2)*(b + 1)/7
Factor 2*j - 11/5*j**2 + 0 + 1/5*j**3.
j*(j - 10)*(j - 1)/5
Let u = 236 - 403. Let j = -331/2 - u. Factor 3*b**4 - 3/2*b**2 + 3/4*b**5 + 3*b**3 - j - 15/4*b.
3*(b - 1)*(b + 1)**3*(b + 2)/4
Let j(c) be the second derivative of -6*c**4 - 20*c**3 - 25*c**2 + 58*c. Determine x, given that j(x) = 0.
-5/6
Let r be 1/(-3) + 248/24. Factor -r + 29 - 18 - m**2.
-(m - 1)*(m + 1)
Let m = 7 + -7. Let s be 3 + -1*(m - 0). Let -8*q**s - 6*q**3 - 2*q**5 - q**4 + 15*q**3 + q**5 + q**2 = 0. Calculate q.
-1, 0, 1
Let o = 13 + -13. Suppose -3*h + 0 + 6 = o. Determine f so that -9*f + f**h + f**2 + f**2 + 0*f**2 = 0.
0, 3
Let w = 13 - 30. Let t = 17 + w. What is i in 4*i - 8*i**2 - 2 + t + 4 + 2 = 0?
-1/2, 1
Determine u, given that 12600*u + 3159*u**4 - 7452*u**3 - 1080*u**2 + 6000 - 729/2*u**5 = 0.
-2/3, 10/3
Let d(f) be the second derivative of -3*f**5/70 - f**4/42 + 10*f**3/21 + 8*f**2/7 - f - 31. Factor d(h).
-2*(h - 2)*(h + 1)*(3*h + 4)/7
Let z(g) be the second derivative of 0*g**2 + 0*g**6 - 11*g + 1/45*g**3 + 1/315*g**7 + 0*g**4 + 0 - 1/75*g**5. Find k such that z(k) = 0.
-1, 0, 1
Let g be (-3 - 91/(-28))/((-3)/(-24)). Factor 2/11*k**3 - 4/11*k**4 + 0 + 0*k + 0*k**g + 2/11*k**5.
2*k**3*(k - 1)**2/11
Let d = -271 - -271. Let m(w) be the third derivative of -1/3*w**3 + d*w + 0 - w**2 + 1/6*w**4 - 1/30*w**5. Factor m(l).
-2*(l - 1)**2
Suppose 269*n + 10 = 271*n + b, -5*b = 3*n - 36. Let 3/2 + 1/2*t**3 - 3/2*t**n - 1/2*t = 0. Calculate t.
-1, 1, 3
Let -368*j**2 + j + 3*j - 9*j + 355*j**2 - 7*j + j**4 = 0. What is j?
-3, -1, 0, 4
Let q(h) be the third derivative of -h**5/3 + h**4/15 + 36*h**2. Determine x, given that q(x) = 0.
0, 2/25
Let q(w) be the third derivative of 7*w**7/135 + 49*w**6/180 + 47*w**5/135 - w**4/9 - 8*w**3/27 + 206*w**2. Solve q(n) = 0.
-2, -1, -2/7, 2/7
Let j(r) be the first derivative of -r**6/6 - 9*r**5/5 - 25*r**4/4 - 9*r**3 - 5*r**2 - 130. What is d in j(d) = 0?
-5, -2, -1, 0
Factor 3/7*w**4 - 6/7 + 9/7*w**3 + 3/7*w**2 - 9/7*w.
3*(w - 1)*(w + 1)**2*(w + 2)/7
Factor -w**3 - 5*w - 42 - 5*w + 42*w**2 + 4*w**3 + 6*w + w.
3*(w - 1)*(w + 1)*(w + 14)
Let g(w) be the second derivative of w**7/14 - 7*w**6/5 - 6*w**5/5 + 92*w**4 + 520*w**3 + 1200*w**2 + 10*w + 4. Factor g(z).
3*(z - 10)**2*(z + 2)**3
Let g be (3/84 + -1)/(21/(-728)). Let h = g - 33. Factor 0*l - 3/7 + h*l**2.
3*(l - 1)*(l + 1)/7
Let o be 630/(-147) - 4/(-14). Let a(w) = 2*w**3 - 6*w**2 + 12*w + 4. Let l(j) = -j**3 + 5*j**2 - 12*j - 3. Let x(y) = o*l(y) - 3*a(y). Solve x(z) = 0.
-3, 0, 2
Let m(u) be the third derivative of 0*u - 1/60*u**6 - 1/40*u**5 + 1/12*u**4 + 1/3*u**3 + 0 - 1/420*u**7 - 3*u**2. Let m(n) = 0. Calculate n.
-2, -1, 1
Suppose 198 - 3/2*j**2 - 393/2*j = 0. Calculate j.
-132, 1
Let o(k) be the first derivative of -2*k**3/15 - 12*k**2/5 - 72*k/5 + 58. What is v in o(v) = 0?
-6
Let o(d) be the first derivative of -5/36*d**3 + 1 + d - 1/40*d**5 + 7/72*d**4 + 1/12*d**2. Let l(n) be the first derivative of o(n). Factor l(g).
-(g - 1)**2*(3*g - 1)/6
Let z = -10552 - -10554. Factor -3*i**3 - 9/4*i**z + 3/4*i**4 + 15/2*i + 6.
3*(i - 4)*(i - 2)*(i + 1)**2/4
Let h(p) be the third derivative of -p**8/168 - 13*p**7/105 - 4*p**6/5 - 6*p**5/5 - 8*p**2. Find n such that h(n) = 0.
-6, -1, 0
Let t(i) be the second derivative of i**6/10 - 3*i**5/10 + i**4/4 + 6*i + 7. Suppose t(m) = 0. What is m?
0, 1
Let w(c) = c**2 + c + 1. Let a be ((-10)/(-6))/((-45)/(-108)). Let v(m) = -54*m - 390. Let i(x) = a*w(x) - 2*v(x). Factor i(t).
4*(t + 14)**2
Suppose 5*y = 4*y + 7*y. Let m(h) be the third derivative of y*h + 0*h**4 + 0 - 1/150*h**5 + 6*h**2 + 0*h**3. Factor m(b).
-2*b**2/5
Suppose 2505*i - 2496*i = 0. Let -2/5*l**4 + 2/5*l**3 + 0 + i*l + 0*l**2 = 0. Calculate l.
0, 1
Let l = 1 + -7. Let f = l + 8. Suppose 2*q - f - 1/2*q**2 = 0. What is q?
2
Factor -35/4*s**2 - 120*s + 35.
-5*(s + 14)*(7*s - 2)/4
Let n(v) = -4*v**3 - 31*v**2 - 45*v - 1. Let f(s) = -s**3 + s**2 + 1. Let l(k) = -f(k) - n(k). Solve l(c) = 0.
-3, 0
Let g(f) be the first derivative of 8/15*f**3 + 0*f**5 - 12/5*f**2 - 1/15*f**6 + 0*f - 37 + 9/10*f**4. Solve g(c) = 0 for c.
-2, 0, 1, 3
Let w(q) = 57*q**2 + 173*q. Let o(i) = 20*i**2 + 58*i. Let k(u) = -17*o(u) + 6*w(u). Determine b so that k(b) = 0.
-26, 0
Let m(u) = -u**3 + 45*u**2 + 93*u + 51. Let d be m(47). Let w(k) be the first derivative of -1 - 3/2*k**2 - d*k**3 + 9/4*k**4 + 6*k. Factor w(x).
3*(x - 1)**2*(3*x + 2)
Suppose 7*i = 4 + 17. Let o(y) be the third derivative of 337/150*y**5 - y**4 + 0*y + 8*y**2 + 4/15*y**i + 112/75*y**7 + 0 - 14/5*y**6. Factor o(s).
2*(4*s - 1)**2*(7*s - 2)**2/5
Let w(a) be the first derivative of a**7/420 - a**6/60 + a**4/3 + a**3/3 - 7. Let u(j) be the third derivative of w(j). Let u(d) = 0. Calculate d.
-1, 2
Let x be 22/(-55) - (-17)/5. Suppose -5*a + 26 = 3*j, 2*j - 5*a = -x*j - 10. Factor 4*m**3 - m**2 + 1 - m**j + 8*m**2 - 4*m**4 + 4*m + 5*m**4.
(m + 1)**4
Let f(g) = 2*g**3 + 0*g**3 + 3*g**2 + 3*g**3. Suppose -2 = -6*y + 5*y. Let h(r) = 25*r**3 + 15*r**2 + r. Let k(n) = y*h(n) - 11*f(n). Solve k(b) = 0 for b.
-1, 0, 2/5
Let t(k) = -k**2 + 10*k - 12. Let b be (-9)/(-3) - -6 - (-6)/(-6). Let q be t(b). Factor 2/3*y**2 - 2/3*y**3 + 0 + 0*y - 4/3*y**q.
-2*y**2*(y + 1)*(2*y - 1)/3
Let j(c) be the second derivative of c - 1/120*c**6 + 1/48*c**4 + 1/40*c**5 + 0*c**2 - 1/12*c**3 + 0. Factor j(g).
-g*(g - 2)*(g - 1)*(g + 1)/4
Let j(u) be the third derivative of -u**11/498960 - u**10/226800 + 3*u**5/10 - 5*u**2. Let a(m) be the third derivative of j(m). Let a(q) = 0. Calculate q.
-1, 0
Let h be (3 - (-9)/(-5))*(-50)/(-30). Factor 0 + 2*b**h + 0*b - 26/3*b**3 + 8/3*b**4.
2*b**2*(b - 3)*(4*b - 1)/3
Suppose -2*z = -4*g + 8, -92*z + 95*z = -3*g + 6. Solve z + 512/5*y**2 - 232/5*y**3 - 128/5*y + 28/5*y**4 = 0 for y.
0, 2/7, 4
Let b be (-6)/(-5)*5*(-2)/(-6). Let u(a) be the first derivative of 1 + 2/5*a**b + 2/5*a + 2/15*a**3. Factor u(q).
2*(q + 1)**2/5
Let v be -6 + ((-55)/(-45) - -5). What is l in 0 - v*l**3 + 4/9*l - 2/9*l**2 = 0?
-2, 0, 1
Let w(n) be the first derivative of 20*n**6/3 - 20*n**5 + 45*n**4/2 - 35*n**3/3 + 5*n**2/2 - 37. Factor w(v).
5*v*(v - 1)*(2*v - 1)**3
Let w(j) be the first derivative of j**3/3 - 7*j**2/2 - 120*j - 383. Factor w(i).
(i - 15)*(i + 8)
Let j(h) = -6*h**4 - 5*h**3 + h**2 - 24*h - 7. Let m(d) = -d**4 - d**3 - 4*d - 1. Let z(l) = 39*l + 5. Let k be z(-1). Let r(w) = k*m(w) + 6*j(w). Factor r(c).
-2*(c - 2)**2*(c + 1)**2
Let c be 6*(-364)/189 + 12. Let g(t) be the first derivative of -20/3*t**2 - 11 + 100/3*t + c*t**3. Let g(y) = 0. What is y?
5
Let r(a) = 1. Suppose 12 = -3*j + 6. Let c(v) = -2*v**2 + 10*v + 5. Let x(w) = j*c(w) + 10*r(w). Let x(z) = 0. Calculate z.
0, 5
Let b(t) be the first derivative of t**4/8 - 5*t**3/3 + 4*t**2 + 47. Suppose b(c) = 0. Calculate c.
0, 2, 8
Determine u, given that -4/3*u**5 + 0*u**2 + 184/3*u**3 + 0 - 60*u**4 + 0*u = 0.
-46, 0, 1
Suppose -12 - 8 = -5*m. Let r(y) = -y**4 + y**3 - y**2 + y. Let p(b) = -3*b**4 + 4*b**3 - 7*b**2 + 6*b. Let x(s) = m*r(s) - p(s). Find u, given that x(u) = 0.
-2, 0, 1
Suppose 11*g + 9*g + 15*g = 8*g. What is u in g + 0*u - 1/4*u**5 + 1/4*u**4 - u**2 + u**3 = 0?
-2, 0, 1, 2
Factor 15*s**3 + 5175*s + 40 - 2578*s - 5*s**4 + 10*s**2 - 2657*s.
-5*(s - 2)**2*(s - 1)*(s + 2)
Factor -12 + 4/3*n**3 - 4/3*n + 12*n**2.
4*(n - 1)*(n + 1)*(n + 9)/3
Suppose -31 = -5*f - 2*z, 0*f + z - 28 = -5*f. What is q in f*q**3 + 4*q**3 - 38*q - 375 - 45*q**2 - 187*q - 12*q**3 = 0?
-5
Solve 2 + 6*m**2 - 6*m + 3/8*m**4 - 5/2*m**3 = 0 for m.
2/3, 2
Let t(h) = -h**3 + 10*h**2 - 4*h. Let d be 38/4 + (-9)/18. Let g(a) = 3*a**3 - 21*a**2 + 9*a. Let b(n) = d*t(n) + 4*g(n). Factor b(y).
3*y**2*(y + 2)
Let m(j) be the second derivative of 1/21*j**3 + 1/42*j**4 - 2*j + 0 + 0*j**2. Factor m(f).
2*f*(f + 1)/7
Suppose 3*v = -3*c + 3, 0 = 5*v + c - 9 - 8. Let s(m) be the first derivative of -5*m - 15/2*m**2 - 5*m**3 - 5/4*m**v + 6. Factor s(x).
-5*(x + 1)**3
Let d be 1*(-3 + 2) - -19. Let f = d + -12. Factor -2*j**2 - 9*j**3 + 5*j**2 - 6*j**4 - f*j**2.
-3*j**2*(j + 1)*(2*j + 1)
Let x(i) = i**2. Let w(c) = -3*c 