erivative of 1/350*k**7 + 0*k - 1/560*k**8 - 12*k**2 + 1/100*k**6 + 0 + 0*k**3 + 0*k**4 + 0*k**5. Factor l(j).
-3*j**3*(j - 2)*(j + 1)/5
Let g(k) be the first derivative of -1/18*k**4 - 1/90*k**5 + 3*k + 0*k**2 + 0*k**3 - 7. Let n(m) be the first derivative of g(m). Find t such that n(t) = 0.
-3, 0
Let a(v) = -8*v**2 - 127*v - 105. Let c(l) = -5*l**2 - 85*l - 70. Let i(f) = -5*a(f) + 7*c(f). What is s in i(s) = 0?
-7, -1
Let l = -1 - -4. Let r be 6 - (l - 0) - (-1 + 2). Let 2/7*p**r - 4/7 - 2/7*p = 0. Calculate p.
-1, 2
Let b(q) be the second derivative of q**6/60 - q**5/60 - q**4/72 + 114*q. Solve b(m) = 0.
-1/3, 0, 1
Factor 12/17*r**3 - 28/17*r - 18/17*r**2 + 0 + 2/17*r**4.
2*r*(r - 2)*(r + 1)*(r + 7)/17
Let i(x) be the third derivative of -1/210*x**7 + 0 + 1/1008*x**8 + 2/9*x**3 + 11/180*x**5 + 0*x + 32*x**2 - 1/6*x**4 - 1/360*x**6. Solve i(v) = 0.
-2, 1, 2
Let b(m) = 4*m**2 + 41*m - 31. Let k be b(-11). Factor -2/11*i**5 + 0*i**3 + 0 + 0*i + 0*i**k - 2/11*i**4.
-2*i**4*(i + 1)/11
Suppose -5*u + 2 = 2*m + 8, 0 = -5*m + 5*u + 20. Suppose 0*p + m*p = 8. Let -1 + 5*i - 1 - 7*i**2 + p*i = 0. What is i?
2/7, 1
Let h(u) = 8*u**4 - 22*u**3 + 127*u**2 + 29*u - 128. Let f(q) = q**4 + q**2 + q - 1. Let j(r) = -14*f(r) + 2*h(r). Factor j(l).
2*(l - 11)**2*(l - 1)*(l + 1)
Suppose -40*b + b + 117 = 0. Suppose -4*u + 5/2*u**2 + 2 - 1/2*u**b = 0. Calculate u.
1, 2
Let q(l) be the second derivative of 3/22*l**2 + 0 + 1/220*l**5 - 1/66*l**3 - 1/44*l**4 - 19*l. Determine m so that q(m) = 0.
-1, 1, 3
Let b(i) = -4*i - 1. Let g be b(8). Let u = -30 - g. Solve -6*j**2 + u*j**2 - 14*j + 20*j - 3 = 0.
1
Suppose 5*d - 5*r = 5, -3*d + 0*r - 2*r = -18. Let k be d/((-12)/(-33)) - 7. Determine b, given that 4/7*b**3 + 0 + 5/7*b**2 + 2/7*b + 1/7*b**k = 0.
-2, -1, 0
Let f(s) be the second derivative of -s**7/42 - 2*s**6/15 + 3*s**5/10 + 3*s**4 + 9*s**3/2 - 33*s. Solve f(k) = 0 for k.
-3, -1, 0, 3
Let s(m) = 4*m**3 + 2*m**2 - 4*m + 4. Let f(c) = 0*c**2 - 20*c**3 + c**2 + 21*c**3 - c. Let r(v) = 6*f(v) - s(v). Determine u so that r(u) = 0.
-2, -1, 1
Let j = 95 - 88. Let k be (-3 - 0) + -1 + j/1. Factor -1/5*l**k + 0 + 4/5*l**2 - 4/5*l.
-l*(l - 2)**2/5
Let i(g) be the third derivative of g**7/735 - g**6/140 - g**5/42 + g**4/28 + 4*g**3/21 - 77*g**2. Factor i(d).
2*(d - 4)*(d - 1)*(d + 1)**2/7
Let -476/5*i**4 + 0*i + 196/5*i**5 + 0 - 48/5*i**2 - 64*i**3 = 0. What is i?
-2/7, 0, 3
Let y(t) be the first derivative of 15*t + 18 + 5/3*t**3 - 10*t**2. Factor y(j).
5*(j - 3)*(j - 1)
Let i(b) be the third derivative of 0*b**3 + 1/24*b**6 - 16*b + 25/24*b**4 - 1/2*b**5 + 0 - 2*b**2. Let i(k) = 0. What is k?
0, 1, 5
Let q = -3436/95 - -691/19. Solve -1/5*g**4 + 0 + 1/5*g + q*g**2 - 1/5*g**3 = 0 for g.
-1, 0, 1
Let h(f) = 3*f - 12 + 7 + 4*f - 5*f. Let w be h(4). Suppose 16*u**4 - 16*u**4 + 3*u**5 + 3*u - 7*u**3 + u**w = 0. What is u?
-1, 0, 1
Let r be (8/(-2))/(-4) + (-15)/(-3). Suppose 4 = r*v - 26. Factor 0*d**2 + 0*d + 1/5*d**v - 2/5*d**4 + 1/5*d**3 + 0.
d**3*(d - 1)**2/5
Factor 3*b**2 - 3*b**4 - 285*b - 6*b**3 + 569*b - 278*b.
-3*b*(b - 1)*(b + 1)*(b + 2)
Let p(k) be the third derivative of k**6/2160 - k**5/720 - k**4/24 - 13*k**3/6 - 36*k**2. Let f(x) be the first derivative of p(x). Factor f(b).
(b - 3)*(b + 2)/6
Factor 24 + 42/5*l**2 - 3/5*l**3 - 132/5*l.
-3*(l - 10)*(l - 2)**2/5
Let y(k) be the first derivative of -k**5/20 - 7*k**4/8 - 19*k**3/4 - 19*k**2/2 - 8*k + 6. Determine m, given that y(m) = 0.
-8, -4, -1
Let -30*q**2 - q**5 + 108 + 0*q**4 + 5*q**3 + 5*q**4 - 15*q**2 = 0. What is q?
-2, 3
Let x be 3 + (-152)/32 + 2. Factor 0 - t**4 + 1/4*t - t**2 + 3/2*t**3 + x*t**5.
t*(t - 1)**4/4
Let t = -338 - -479. Suppose -141 = 3*v - t. Let v + 0*r + 0*r**2 + 1/3*r**3 + 1/3*r**4 = 0. What is r?
-1, 0
Suppose -d = -3*o - 1 + 2, 4*d + 3*o = 26. Solve 0 - 10/3*y**4 - 2/3*y**d - 6*y**3 - 14/3*y**2 - 4/3*y = 0.
-2, -1, 0
Let f(z) be the second derivative of 1/84*z**4 + 1/147*z**7 + 0*z**2 + 0 - 1/210*z**6 + 21*z + 0*z**3 - 1/70*z**5. What is d in f(d) = 0?
-1, 0, 1/2, 1
Let m = -1608 - -1613. Let g(d) be the second derivative of 1/12*d**6 + 13*d - 5/12*d**4 + 0*d**3 + 0*d**m + 5/4*d**2 + 0. Let g(h) = 0. Calculate h.
-1, 1
Let i = 25001/7 + -3571. Factor i*a**2 + 24/7*a + 20/7.
4*(a + 1)*(a + 5)/7
Let a(l) = l**2 + l. Let z(f) = -3*f**3 + 52*f**2 - 56*f - 1200. Let t(p) = 4*a(p) - z(p). Factor t(k).
3*(k - 10)**2*(k + 4)
Let w(s) = 9*s + 48. Let v be w(-5). Let m be 0 + v + (-55)/(-15). Factor 4/3 - 100/3*a**3 + 20/3*a - 64/3*a**5 + 160/3*a**4 - m*a**2.
-4*(a - 1)**3*(4*a + 1)**2/3
Let a(y) = -5*y**5 + 5*y**3 + 30*y**2 + 10. Let p(s) = 3*s**3 - 1. Let j(b) = a(b) + 10*p(b). Let j(h) = 0. What is h?
-2, -1, 0, 3
Let x(c) = -c**3 + 6*c**2 - 5*c - 10. Let y be x(4). Let b(h) be the first derivative of 2 + 1/21*h**3 - 3/7*h**y + 9/7*h. Factor b(z).
(z - 3)**2/7
Let a(q) be the second derivative of q**4/78 - 7*q**3/39 - 8*q**2/13 + 4*q - 17. Find y, given that a(y) = 0.
-1, 8
Let p(k) be the third derivative of -k**9/241920 + k**8/26880 - k**5/5 + 13*k**2. Let t(w) be the third derivative of p(w). Factor t(f).
-f**2*(f - 3)/4
Let j be ((-12)/(-15))/(456/380). Factor -8/3*r**2 + 0*r - j*r**3 + 0.
-2*r**2*(r + 4)/3
Let q(u) = u + 12. Let b be q(-8). Suppose -h = b*h - 25. Factor -4*w**2 + w + 3*w + 4*w**4 - 2*w**h - 2*w.
-2*w*(w - 1)**3*(w + 1)
Let c(i) be the second derivative of -3*i**5/140 + 34*i. Factor c(m).
-3*m**3/7
Let l(k) be the second derivative of -k**5/180 + k**4/72 + k**3/9 + 3*k**2/2 - 7*k. Let f(v) be the first derivative of l(v). Determine u, given that f(u) = 0.
-1, 2
Let i = -1829/56 - -459/14. Let i*q**2 + 1/2 - 1/2*q = 0. What is q?
2
Factor 15*g**4 - 6*g + 1145*g**2 - 9*g**3 - 18*g**3 - 1124*g**2 - 3*g**5.
-3*g*(g - 2)*(g - 1)**3
Let n(t) be the second derivative of 5*t**4/54 - 118*t**3/27 - 16*t**2/3 - 4*t - 16. Factor n(m).
2*(m - 24)*(5*m + 2)/9
Solve -33 + 20 + 25 + 15*w**3 - 12*w**2 - 15*w = 0 for w.
-1, 4/5, 1
Solve -2383 + 4766 - 2383 - 2*u**3 - 8*u**2 - 6*u = 0.
-3, -1, 0
Factor -10/3*r**3 - 44/3*r**2 - 46/3*r - 4.
-2*(r + 1)*(r + 3)*(5*r + 2)/3
Suppose q - 19*p + 18*p = 8, 0 = 4*q + p - 7. Let x(i) be the second derivative of 0 + 3/20*i**4 - 1/15*i**3 + q*i + 0*i**2. Let x(g) = 0. What is g?
0, 2/9
Let p = -303/95 + 72/19. Suppose -p*n**3 + 3/5*n**5 + 0 + 0*n - 6/5*n**2 + 6/5*n**4 = 0. Calculate n.
-2, -1, 0, 1
What is o in 4/9*o**3 + 0 - 8/9*o + 4/3*o**4 + 4/9*o**5 - 4/3*o**2 = 0?
-2, -1, 0, 1
Factor -90*o**2 - 6*o**3 + 19*o - 8*o**3 - 76*o**3 + 53*o - 138*o**2 + 21*o**4.
3*o*(o - 6)*(o + 2)*(7*o - 2)
Let n(x) be the third derivative of 1/60*x**4 + 22*x**2 + 0 + 0*x + 0*x**3 - 1/150*x**5. Factor n(o).
-2*o*(o - 1)/5
Let q(y) = 35*y**3 + 20*y**2 - 125*y - 155. Let c(p) = 5*p**3 + 3*p**2 - 18*p - 22. Let b(m) = 15*c(m) - 2*q(m). What is s in b(s) = 0?
-2, -1, 2
Let r = -554 + 1666/3. Let z(s) be the first derivative of 2/9*s**3 - 9 - s**2 + r*s. Determine t so that z(t) = 0.
1, 2
Let n(j) be the first derivative of j**5/15 - 17*j**4/6 + 32*j**3/9 + 17*j**2/3 - 11*j - 771. Factor n(h).
(h - 33)*(h - 1)**2*(h + 1)/3
Let n(x) be the first derivative of -1/36*x**4 + 2 + 3*x + 0*x**2 + 1/18*x**3. Let y(s) be the first derivative of n(s). Factor y(w).
-w*(w - 1)/3
Let s be (4/10)/(((-12)/3)/(-360)). Factor 12*b**3 + 21*b**2 + s*b**3 + 6*b - 21*b**4 - 54*b**2.
-3*b*(b - 1)**2*(7*b - 2)
Let q(l) be the first derivative of -l**6/8 + 9*l**4/16 - l**3/2 + 87. Suppose q(j) = 0. Calculate j.
-2, 0, 1
Let t(y) be the third derivative of -y**7/315 - 11*y**6/180 - 19*y**5/90 - y**4/4 + 52*y**2. Determine s, given that t(s) = 0.
-9, -1, 0
Let w(x) be the first derivative of -5/16*x**4 + 26 - 3/8*x + 3/40*x**5 + 0*x**3 + 5/8*x**2. Solve w(t) = 0.
-1, 1/3, 1, 3
Solve 3/2*s**3 - 186*s + 42*s**2 + 192 = 0.
-32, 2
Factor -5*v**2 - 140/3 - 40*v + 5/3*v**3.
5*(v - 7)*(v + 2)**2/3
Let s(n) be the first derivative of -41 - 1/5*n**3 + 0*n + 0*n**2 + 9/10*n**4 + 2/5*n**6 - 27/25*n**5. Determine g, given that s(g) = 0.
0, 1/4, 1
Let u(t) = t**4 - 3*t**2 - t + 1. Let q(d) = -15*d**4 + 3*d**3 + 39*d**2 + 9*d - 12. Let x(b) = q(b) + 12*u(b). Let x(z) = 0. What is z?
-1, 0, 1
Factor 11*a**2 - 2 + 30*a - 6*a**2 + 0*a**2 + 42.
5*(a + 2)*(a + 4)
Let d(m) be the second derivative of -5*m**7/6 