rst derivative of -2*n**3/3 + 4*n**2 + 10*n + 498. Solve t(f) = 0 for f.
-1, 5
Let t(u) be the second derivative of u**7/140 - u**6/24 + u**5/20 + 11*u**3/3 - 7*u. Let d(x) be the second derivative of t(x). Factor d(y).
3*y*(y - 2)*(2*y - 1)
Let u(j) be the second derivative of -j**6/30 + 15*j**2/2 + j. Let f(n) be the first derivative of u(n). Factor f(w).
-4*w**3
Let k(t) = -2*t**3 - 170*t**2 - 400*t - 199. Let f(o) = 2*o**2 - 2*o - 1. Let l(b) = -22*f(b) + 2*k(b). Factor l(c).
-4*(c + 1)**2*(c + 94)
Let r(p) be the third derivative of -p**7/1050 - 3*p**6/200 - 7*p**5/150 - 556*p**2. What is v in r(v) = 0?
-7, -2, 0
Let 35*y**2 - 19*y**2 + 2*y - y = 0. What is y?
-1/16, 0
Factor 128*l - 19 - 105*l - 5*l + 22*l**2 - 256*l - 25.
2*(l - 11)*(11*l + 2)
Let w(c) be the first derivative of 14 + 512/25*c**5 - 384/5*c**4 + 162/5*c - 432/5*c**2 + 576/5*c**3. Factor w(h).
2*(4*h - 3)**4/5
Let y = 1/585 - -38/585. Let f(p) be the third derivative of -y*p**5 + 0 + 0*p**4 + 0*p - 2/105*p**7 + 1/15*p**6 - 3*p**2 + 0*p**3. Factor f(r).
-4*r**2*(r - 1)**2
Let o(n) = 37*n - 54. Let h be o(4). Let b = h + -94. Solve 2/17*f**2 + 0 + 2/17*f**3 + b*f = 0.
-1, 0
Let k = 36 + -28. Let f(x) = -13*x**2 - 14*x + 9. Let s(v) = -19*v**2 - 21*v + 14. Let q(l) = k*f(l) - 5*s(l). Suppose q(p) = 0. What is p?
-1, 2/9
Let w(a) be the second derivative of -a**4/15 - 6*a**3/5 - 16*a**2/5 - 12*a. Determine f so that w(f) = 0.
-8, -1
Let q be (-11 + (-2295)/(-187))*(-2)/(-14). Suppose q*g**3 + 0*g + 6/11*g**2 - 8/11 = 0. What is g?
-2, 1
Let d(k) = 9*k**4 + k**3 + 21*k - 7. Let x(w) = -w**4 - w**3 - 3*w + 1. Let f(b) = -2*d(b) - 14*x(b). Factor f(q).
-4*q**3*(q - 3)
Let s = -1 + 25. Factor s*h**3 + 26*h**3 + 11*h**4 - h**4 + 5*h**5 - 45*h**3.
5*h**3*(h + 1)**2
Let b(w) be the second derivative of w**4/6 - 13*w**3/9 + 4*w**2/3 - 13*w + 7. Factor b(g).
2*(g - 4)*(3*g - 1)/3
Let l be 15/(-2)*12/(-18). Let b(n) = 0*n + 8*n**3 - 2*n**2 + n**2 - 5*n - l. Let a(j) = 7*j**3 - j**2 - 4*j - 4. Let v(m) = -5*a(m) + 4*b(m). Factor v(k).
-k**2*(3*k - 1)
Let o = -89/28 - -15/4. Factor -6/7 + 2/7*g**2 - o*g.
2*(g - 3)*(g + 1)/7
Let c(j) be the third derivative of -j**6/60 - 29*j**5/30 - 65*j**4/4 + 75*j**3 - 756*j**2. Factor c(l).
-2*(l - 1)*(l + 15)**2
Let l = 142 + -706/5. Let m be (-4844)/(-7785) + (-1)/((-27)/(-6)). Let l*z + 2/5*z**2 + 0 - 4/5*z**3 - m*z**4 = 0. What is z?
-2, -1, 0, 1
Let z be (30/(-8))/(-5) - (-93)/(-124). Factor -4/5*c**3 + 0 - 2/5*c**4 + 0*c + z*c**2.
-2*c**3*(c + 2)/5
Suppose 0 = m - 11*m + 320. Factor m*f**3 - f**4 - 44 + 168 - 160*f + 24*f**2 + 5*f**4 - 24.
4*(f - 1)**2*(f + 5)**2
Let u(l) be the second derivative of l**5/70 + 29*l**4/14 + 841*l**3/7 + 24389*l**2/7 + 155*l. Factor u(b).
2*(b + 29)**3/7
Let n(u) be the first derivative of -4*u**3/3 + 368*u**2 + 472. Solve n(q) = 0.
0, 184
Let a be 396/(-1056)*(-4)/270. Let d(g) be the third derivative of 1/9*g**3 - a*g**5 - 12*g**2 + 1/72*g**4 + 0*g + 0. What is r in d(r) = 0?
-1, 2
Let s(a) = -5*a**2 + 4*a + 31. Let p be 120/9 - 8/24. Let i(l) = 11*l**2 - 7*l - 63. Let h(q) = p*s(q) + 6*i(q). Factor h(y).
(y + 5)**2
Suppose 31*i = 45*i. Let g(n) be the first derivative of i*n - 1/18*n**6 + 0*n**2 - 5/12*n**4 - 7 - 2/9*n**3 - 4/15*n**5. Solve g(m) = 0.
-2, -1, 0
Let b(z) be the second derivative of z**5/20 - z**4/12 - z**3/3 - 3*z**2/2 + 2*z. Let j be b(3). Factor -3*d - 5 + j*d + 3 - d**2 - 3*d**2.
-2*(d - 1)*(2*d - 1)
Let k(h) be the second derivative of 3/2*h**3 - 3/2*h**2 - 17*h + 0 + h**4. Factor k(t).
3*(t + 1)*(4*t - 1)
Suppose 4*r - 2*b - 145 + 135 = 0, -r + 4*b = -6. Factor 1/2*m**4 + 0 - 1/4*m**3 + 0*m**r - 1/4*m**5 + 0*m.
-m**3*(m - 1)**2/4
Let c(h) be the first derivative of h**4/40 + 16*h**3/15 - 67*h**2/20 + 17*h/5 + 23. Factor c(y).
(y - 1)**2*(y + 34)/10
Let w be ((-2)/(-16))/(109/218). Find f such that -w*f**5 - 1/4*f + 1/2*f**3 + 0*f**2 + 0 + 0*f**4 = 0.
-1, 0, 1
Let c(m) be the second derivative of m**8/9240 - m**6/660 + m**5/330 + 7*m**3/6 + 7*m. Let d(l) be the second derivative of c(l). Find u such that d(u) = 0.
-2, 0, 1
Factor 35/3*m**2 + 646/3*m + 1/6*m**3 + 1156/3.
(m + 2)*(m + 34)**2/6
Let n = -96 + 82. Let u = 47/3 + n. Solve 5/3*t**2 + 0*t - u = 0 for t.
-1, 1
Factor 76*q**2 - q**3 + 1563*q + 103 - 23 - q**3 - 1405*q.
-2*(q - 40)*(q + 1)**2
Suppose 180/7*y**2 + 152/7*y + 24/7*y**4 + 2/7*y**5 + 48/7 + 14*y**3 = 0. Calculate y.
-6, -2, -1
Factor -7680/7*f - 2/7*f**3 + 16384/7 - 36*f**2.
-2*(f - 2)*(f + 64)**2/7
Let a be (7 + 4)*1 - 2. Find f, given that 1 - a*f**2 - 3*f**5 + 15*f**2 - 1 + 9*f**3 = 0.
-1, 0, 2
Suppose 10*x - 1935 = 3595. Factor -5 - 6*s**3 + x*s - 6*s**3 - 40*s**2 - 3 - 589*s.
-4*(s + 1)*(s + 2)*(3*s + 1)
Suppose -174 = -96*k + 18. Find x such that 3/7*x**k - 6/7 - 3/7*x = 0.
-1, 2
Let y(b) be the first derivative of 8*b**5/15 - 11*b**4/6 - 38*b**3/9 + 44*b**2/3 + 8*b + 223. Determine s, given that y(s) = 0.
-2, -1/4, 2, 3
Let w = -280 + 280. Let n(a) be the third derivative of 1/12*a**6 + 1/3*a**4 + 0 + 1/105*a**7 - 4*a**2 + 0*a**3 + 4/15*a**5 + w*a. Factor n(b).
2*b*(b + 1)*(b + 2)**2
Factor 0 - 8/3*a**3 - 40/3*a**2 - 50/3*a.
-2*a*(2*a + 5)**2/3
Let z(q) be the third derivative of -q**2 + 1/10*q**4 + 3/5*q**3 + 0 + 1/150*q**5 + 0*q. Suppose z(c) = 0. What is c?
-3
Let h be 6*(-3)/(-3 + -3). Suppose -10 - 3*t**2 + 7 - 3*t + 6 + 3*t**h = 0. Calculate t.
-1, 1
Let k = -727 - -729. Let -2/7*p**k + 2/7*p + 4/7 = 0. Calculate p.
-1, 2
Let r(z) = z**3 - 3*z**2 + 3*z - 4. Let b(q) = 2*q**3 - 6*q**2 + 6*q - 7. Suppose -4*m - 3*o = -13 - 2, -m = -3*o. Let y(j) = m*b(j) - 5*r(j). Factor y(w).
(w - 1)**3
Suppose 5*g - 15 = 5*k, -4*k = -k + 5*g - 31. Let s = -4849 + 14587/3. Find n, given that 0 - 52/3*n**3 + 16/3*n + s*n**k + 14/3*n**4 = 0.
-2/7, 0, 2
Suppose -r + 1013 = 3*n, -3*n - 5*r + 1033 = -0*n. Find m such that -n - 8*m**3 - 54*m**2 - 324*m - 312 + 5*m**3 = 0.
-6
Let f(x) be the second derivative of x**7/1512 + 7*x**6/2160 + x**5/180 + 13*x**4/12 - 18*x. Let d(t) be the third derivative of f(t). Let d(c) = 0. What is c?
-1, -2/5
Let j(p) = -10*p**4 - 16*p**3 + 10*p - 8. Let u(a) = -8*a**4 - 14*a**3 + 9*a - 7. Let t(g) = 5*j(g) - 6*u(g). Factor t(m).
-2*(m - 1)**3*(m + 1)
Let b(j) be the first derivative of j**8/336 - j**7/168 - j**6/72 + j**5/24 + 6*j**3 - 21. Let f(u) be the third derivative of b(u). Solve f(d) = 0 for d.
-1, 0, 1
Let o(y) = 2*y**3 - 4*y**2 - 2*y + 4. Let k(z) = 3*z**3 - 6 + z + 3*z**3 + 4*z**2 - 8*z**3 + 3. Let g(h) = 4*k(h) + 3*o(h). Suppose g(a) = 0. What is a?
0, 1
Let r(y) be the second derivative of 0*y**3 + 17*y + 0 + 1/4*y**5 + 10*y**2 - 5/4*y**4. Factor r(h).
5*(h - 2)**2*(h + 1)
Let l be (70/(-22) - -3) + (-402)/(-33). Suppose -11*w**2 - 12*w**2 + 31*w**2 + 16 - 6*w**2 + l*w = 0. Calculate w.
-4, -2
Let z be (-24)/(-20)*10/(-3). Let i be ((-3)/(-9))/(z/(-48)). Factor -7*g**3 - g**i + 2*g**4 + 25*g**2 - 19*g**2 + 1 - 4*g + 3*g**3.
(g - 1)**4
Let a be 4/(-22) - 155/55. Let p(n) = 2*n**5 + n**4 - n**3 + n**2 - n - 2. Let r(m) = 2*m**5 - 2*m**3 + 2*m**2 - 2. Let j(v) = a*r(v) + 2*p(v). Factor j(d).
-2*(d - 1)**3*(d + 1)**2
Let -17*t**3 - 10*t**3 + 72*t**2 + 351*t + 486 + 18*t**3 + 12*t**3 = 0. What is t?
-18, -3
Let f(t) be the second derivative of -t**5/60 - 2*t**4/3 + 17*t**3/6 - 13*t**2/3 - 52*t + 1. Factor f(p).
-(p - 1)**2*(p + 26)/3
Suppose 1 - 3 = -3*b + l, -3*l = b + 6. Let h(s) be the third derivative of -5/14*s**4 + 25/56*s**6 + b*s + 4/7*s**3 + 0 - 5/14*s**5 + 7*s**2. Factor h(y).
3*(5*y - 2)**2*(5*y + 2)/7
Let n be (-84)/96 + 2 + (-6)/6. Find d such that 0*d + 0*d**3 + 0 - n*d**4 + 1/8*d**2 = 0.
-1, 0, 1
Suppose 2*s - 8 + 0 = 0. Factor 4*a**s + a**4 - 20*a + 10*a**3 - 19 - 15*a**2 + 39.
5*(a - 1)**2*(a + 2)**2
Let d(j) be the first derivative of j**5/20 - 3*j**4/16 - j**3/6 + 3*j**2/2 - 2*j - 5. Factor d(b).
(b - 2)**2*(b - 1)*(b + 2)/4
Suppose 18*q + 147 = 67*q. Let 12/7*o + 16*o**2 + 16*o**4 - 8/7 - 228/7*o**q = 0. What is o?
-1/4, 2/7, 1
Factor -141*w**3 - 1678*w**2 + 1152 + 250*w**3 - 252*w**3 - 3*w**4 + 672*w.
-(w - 1)*(w + 24)**2*(3*w + 2)
Let k be 8 - (5 + -5 + 5). Factor 23*i**3 + 9*i**3 + i**3 + 12*i**2 + 3*i**5 + 18*i**4 - 6*i**k.
3*i**2*(i + 1)**2*(i + 4)
Let d(m) = m**3 - 9*m**2 + 3*m - 22. Let o be d(9). Let j be 6/((-1)/(