t k(j) = j - 23. Let x be k(26). Suppose x*b + b = 5*a - 32, 0 = -a - 4*b - 8. What is i in 1/5*i + 0 - 3/5*i**3 + 0*i**2 + 2/5*i**a = 0?
-1/2, 0, 1
Let a(j) = j**2 - 2*j + 60. Let g be a(0). Factor -11*q**4 - 21*q**3 - 6*q**2 + g*q**3 - 7*q**4 - 15*q**4.
-3*q**2*(q - 1)*(11*q - 2)
Let f(q) be the first derivative of 7*q**4/4 - 11*q**3 - 89*q**2 - 48*q - 322. Let f(m) = 0. Calculate m.
-3, -2/7, 8
Suppose 5*w + 1230 = 1245. Let g(v) be the third derivative of 0*v**w - 1/672*v**8 + 0*v + 0*v**4 + 0*v**6 - 7*v**2 - 1/30*v**5 + 0 + 1/140*v**7. Factor g(h).
-h**2*(h - 2)**2*(h + 1)/2
Let d(h) be the first derivative of 5*h**4/4 + 55*h**3/3 + 65*h**2 + 80*h - 195. Factor d(b).
5*(b + 1)*(b + 2)*(b + 8)
Let i = 10 - 8. Let n be (-1 - (-352)/(-55)) + 8. Suppose -18/5*s**i - 24/5 + n*s**3 + 36/5*s = 0. What is s?
2
Let t(a) be the third derivative of a**9/120960 - a**8/8064 + a**7/3360 + a**6/160 - a**5/3 + 45*a**2. Let j(q) be the third derivative of t(q). Factor j(s).
(s - 3)**2*(s + 1)/2
Let q(y) be the third derivative of 0*y + 7/360*y**6 + 31*y**2 + 19/360*y**5 + 1/36*y**4 + 1/420*y**7 + 0 - 1/9*y**3. Factor q(d).
(d + 1)*(d + 2)**2*(3*d - 1)/6
Factor 0*b**2 - 41*b - 3*b**2 - 76 + 90.
-(b + 14)*(3*b - 1)
Let s(i) be the second derivative of -i**5/120 - 37*i**4/36 - 71*i**3/36 + 73*i**2/6 - 61*i - 1. Solve s(d) = 0.
-73, -2, 1
Let s = 830/91 - 100/13. Factor s*t**4 - 8/7*t**2 + 16/7*t**3 + 0 + 0*t.
2*t**2*(t + 2)*(5*t - 2)/7
Let j(t) be the third derivative of -t**7/70 + 3*t**5/5 + 2*t**4 - 12*t**2. Factor j(b).
-3*b*(b - 4)*(b + 2)**2
Let b(f) be the third derivative of -f**7/105 - f**6/20 - f**5/15 - 428*f**2. Find y such that b(y) = 0.
-2, -1, 0
What is l in -33*l**3 - 18*l**3 - 16*l**3 + 83*l**3 + 5*l + 3*l**4 - l + 17*l**2 = 0?
-4, -1, -1/3, 0
Let z(c) = -c**3 + 7*c**2 + 3. Let b(u) = 3*u**2 - 6*u - 2. Let x be b(3). Let g be z(x). Let 0*j**2 + 4*j**2 - g*j**3 + 2*j**2 = 0. What is j?
0, 2
Let i = 21 - 19. Let 11*o**2 - 12 + 14*o**2 - 18*o + 66*o + 2*o**i = 0. Calculate o.
-2, 2/9
Let g(h) be the third derivative of -3*h**8/140 - 79*h**7/350 - 121*h**6/600 + 8*h**5/75 + h**4/10 - 396*h**2. Determine u, given that g(u) = 0.
-6, -2/3, -1/4, 0, 1/3
Let k be 63/3 - (-9)/3. Suppose -k = -5*z + z. Factor 2*u + 5*u**3 + 4*u**4 + u**3 - 2*u**4 + z*u**2 + 0*u.
2*u*(u + 1)**3
Let b(k) be the first derivative of -1/14*k**4 + 2/7*k**3 - 3/7*k**2 + 2/7*k + 12. Let b(l) = 0. Calculate l.
1
Suppose 0*g + 19*g = 38. Let n(x) be the second derivative of 0 + 0*x**g + 7*x + 1/6*x**3 + 1/12*x**4. Factor n(l).
l*(l + 1)
Let p be (-2)/(-25) + (-5593)/(-3525). Factor -2/3*m**2 + 11/3*m - p.
-(m - 5)*(2*m - 1)/3
Let m be (186/4)/((-6)/24). Let o be (m/6)/(1/(-1)). Factor 0*j**3 + 3*j**3 - 3*j**2 - 37*j + o*j.
3*j*(j - 2)*(j + 1)
Let l(n) be the third derivative of -n**8/168 + 26*n**7/175 + 37*n**6/300 - 13*n**5/25 - 8*n**4/15 - 6*n**2 + 29. Solve l(x) = 0.
-1, -2/5, 0, 1, 16
Suppose 0 = 5*r - 5*u - 15, r - 2*u = -3*r + 6. Suppose 7*x - 2*x - 90 = r. Factor -x*z - 2*z**3 + 3*z**5 - 2*z**5 + 19*z.
z*(z - 1)**2*(z + 1)**2
Factor 99405 + 378*k + 8*k**2 + 712*k - 3*k**2 + 320*k.
5*(k + 141)**2
Let r = 5256/5 + -1051. Let a(w) be the first derivative of -5/3*w**3 + r*w**5 + 3/4*w**4 + 0*w + w**2 - 1/6*w**6 + 8. Factor a(i).
-i*(i - 1)**3*(i + 2)
Let z(i) be the second derivative of i**7/42 - i**6/24 - i**5/12 + 5*i**4/24 - 9*i**2/2 + 12*i. Let h(w) be the first derivative of z(w). What is g in h(g) = 0?
-1, 0, 1
Let r(q) be the first derivative of 11*q**5 + 215*q**4/4 + 200*q**3/3 - 10*q**2 - 129. Suppose r(m) = 0. Calculate m.
-2, 0, 1/11
Find o such that -488*o + 17727 + 0*o**2 + 2*o**2 + 16510 - 904 - 3565 = 0.
122
Suppose 5*h - 6*h + 4 = 0. Suppose h*r + 2*o - 14 = -2, r - 4*o = -6. Determine l so that -5*l**2 - 2*l**2 - l**3 + r*l**2 + 3*l**2 = 0.
-2, 0
Let z be 7 + 72/(-8) + 2. Let f(p) be the first derivative of -1/18*p**4 + 1/27*p**6 - 1 + 4/45*p**5 + z*p**2 + 0*p - 4/27*p**3. Suppose f(c) = 0. What is c?
-2, -1, 0, 1
Let j(n) = n**3 - n**2 + 2*n + 1. Let b be j(0). Let y(t) = t**3 - 7*t. Let a(i) = -i**2 + i + 1. Let k(q) = b*y(q) + 6*a(q). Find h such that k(h) = 0.
-1, 1, 6
Let o be -2 - 1221/(-420) - (-246)/(-287). Let c(r) be the first derivative of 1/3*r**3 + 4/5*r + o*r**4 + 6 + 4/5*r**2. Factor c(b).
(b + 1)*(b + 2)**2/5
Suppose 4*x - 949 = 5*w - 258, 679 = 4*x - w. Let x*u**3 + 16*u**2 - 57*u**3 + 103*u**4 + 93*u**4 = 0. Calculate u.
-2/7, 0
Let i = 1/295 + 293/590. Find y, given that 1/2 + y**3 - i*y**5 - y**2 - 1/2*y + 1/2*y**4 = 0.
-1, 1
Let b(f) = -11*f**2 - 5*f + 1. Let y(g) = -1. Let h(k) = 2*b(k) + 2*y(k). Factor h(n).
-2*n*(11*n + 5)
Let m(o) be the third derivative of 0*o + 1/390*o**6 - 2/39*o**3 - 7/390*o**5 - 19*o**2 + 7/156*o**4 + 0. Determine q so that m(q) = 0.
1/2, 1, 2
Suppose 2*q - 4*q + 4 = -y, 4 = 5*y - 2*q. Factor -7*u**y - 30*u + 4*u**2 + 45 + 8*u**2.
5*(u - 3)**2
Factor -15*v**2 + 12*v - 3*v**3 + 5*v + 8*v**3 - 7*v.
5*v*(v - 2)*(v - 1)
Let b(n) = 2*n**3 - n**2 - n + 1. Let l(s) = -45*s**3 - 15*s**2 + 130*s - 115. Let i(j) = 25*b(j) + l(j). Factor i(c).
5*(c - 3)**2*(c - 2)
Let s(j) = 6*j**3 - 12*j**2 + 38*j - 24. Let c(r) = 8*r**3 - 11*r**2 + 38*r - 25. Let x(k) = -4*c(k) + 5*s(k). Solve x(h) = 0.
-10, 1
Let f(r) = 6*r**2 + 46*r - 16. Let n be f(-8). Factor 3/2*o**2 + n + 0*o + 3/2*o**3.
3*o**2*(o + 1)/2
Factor -1/3*t**3 - 8*t + 11/3*t**2 - 12.
-(t - 6)**2*(t + 1)/3
Let a(t) be the first derivative of 15/8*t + 27/16*t**2 + 3/8*t**3 - 7 - 3/32*t**4. Determine x, given that a(x) = 0.
-1, 5
Suppose -1/6*z**2 + 0*z + 8/3 = 0. What is z?
-4, 4
Let p(a) be the second derivative of 0 + 10*a + 3*a**4 - 8*a**2 - 7/5*a**5 + 8*a**3. Factor p(u).
-4*(u - 2)*(u + 1)*(7*u - 2)
Let s = 45 - 42. What is j in 21296*j**s - 32 + 98*j - 5808*j**2 - 29282*j**4 - 130*j + 736*j = 0?
2/11
Suppose 11 = i - 3*a, -5*i + 4*a + 13 = -2*i. Let m be 4 + -1 - (i - (1 + -3)). Find c such that -1 + 1/4*c**3 + 2*c - 5/4*c**m = 0.
1, 2
Find r such that 1/3*r**2 + 8/3 + 2*r = 0.
-4, -2
Factor -3*u**3 + 44329*u - 4 + 18*u**2 - 44344*u + 4.
-3*u*(u - 5)*(u - 1)
Suppose -10 = -4*z + 2*i, -5*z + 12 + 3 = -3*i. Let n be (-4)/(-5) - (22 - 22). Suppose 0*o - n*o**3 - 2/5*o**2 - 2/5*o**4 + z = 0. What is o?
-1, 0
Let n(v) be the third derivative of -v**8/1512 + 29*v**7/945 - 56*v**6/135 + 98*v**5/135 - v**2 - 110. Factor n(b).
-2*b**2*(b - 14)**2*(b - 1)/9
Let o = 347 - 343. Let r(x) be the first derivative of 3/4*x**2 - 8 + 0*x + 0*x**3 - 3/8*x**o. Factor r(q).
-3*q*(q - 1)*(q + 1)/2
Let w(t) be the third derivative of 0 - 19/150*t**6 - 4/15*t**3 - 7/15*t**4 - 3/175*t**7 - 53/150*t**5 + 0*t + 11*t**2. Let w(j) = 0. What is j?
-2, -1, -2/9
Let k be (10/(-490)*-7*-12)/((-36)/56). Suppose -4/9*u - 4*u**3 + k*u**2 + 0 + 16/9*u**4 = 0. What is u?
0, 1/4, 1
Suppose 9 + 5*k**4 - 40*k**2 - 9 + 716*k - 716*k + 35*k**3 = 0. Calculate k.
-8, 0, 1
Let t(p) = -2*p**4 + p**3 - p**2 - p. Suppose -6*x + 48 = 18. Let z(b) = b**4 + b**3 + b**2 - b + 1. Let j(c) = x*z(c) + 5*t(c). Find m such that j(m) = 0.
-1, 1
Let a = -437/20 - -89/4. Let q(d) be the second derivative of 0*d**2 - a*d**3 + 0 - d - 3/100*d**5 + 1/5*d**4. Factor q(j).
-3*j*(j - 2)**2/5
Let o(a) be the third derivative of -a**6/120 + a**5/20 + a**4/24 - a**3/2 + 157*a**2. Let o(f) = 0. What is f?
-1, 1, 3
Let l = -1993 + 11959/6. Suppose 1/6*x**2 + 0 + 0*x - 1/6*x**5 + l*x**3 - 1/6*x**4 = 0. Calculate x.
-1, 0, 1
Let h(c) be the first derivative of 5*c**6/6 + 5*c**5 + 15*c**4/4 - 85*c**3/3 - 70*c**2 - 60*c - 439. Solve h(w) = 0.
-3, -2, -1, 2
Let b(o) be the first derivative of 2*o**6/3 - 4*o**5 - 6*o**4 + 128*o**3/3 + 64*o**2 - 509. What is r in b(r) = 0?
-2, -1, 0, 4
Let x(a) be the second derivative of -a**7/210 - a**6/150 + a**5/100 + a**4/60 - 4*a + 2. Determine l, given that x(l) = 0.
-1, 0, 1
Let b be (-1280)/(-2064) - 8/(-172). Factor b*r**3 - 11/6*r - 4/3*r**2 - 1/2.
(r - 3)*(2*r + 1)**2/6
Suppose -u + 5 + 0 = 0. Let q be (1 + 7)/(u + -3). Solve 3*f**q + 30*f**2 - 15*f + 12*f**4 - 39*f**3 + 9*f**3 - 3*f**5 + 3 = 0 for f.
1
Let l(h) = -1 + 3*h**3 - 4*h**3 + 6*h + 2*h**3 - 5*h. Let s(g) = 30*g**3 + 10*g**2 + 30*g - 25. Let d(v) = -25*l(v) + s(v). Factor d(c).
5*c*(c + 1)**2
Let g(h) = -2*h**3 - 5*h**2 - 4*h - 6. Let b