**2 + 5476*v/5 - 155. Solve j(i) = 0 for i.
-37, 2
Let y(n) be the first derivative of -5/3*n**3 + 2*n - n**4 + 10 + 7/2*n**2. Factor y(k).
-(k - 1)*(k + 2)*(4*k + 1)
Let w be (-6 - (-2 + -4)) + (-1 - -4). Suppose -20*t**3 - t**5 + 30*t + 26*t**w - 9*t**4 - 6*t + 36*t**2 - 2*t**5 = 0. Calculate t.
-2, -1, 0, 2
What is b in 0 + 30/7*b**3 + 3/7*b**2 - 3/7*b**4 - 30/7*b = 0?
-1, 0, 1, 10
Determine r so that 58*r**3 - 18/7*r**5 + 0 + 222/7*r**4 + 4*r + 194/7*r**2 = 0.
-1, -1/3, 0, 14
Let r(w) be the first derivative of w**4/5 + 28*w**3/5 - 44*w**2/5 + 18. What is f in r(f) = 0?
-22, 0, 1
Let j(c) be the first derivative of c**6/3 - 26*c**5/15 + 13*c**4/6 + 2*c**3 - 16*c**2/3 + 8*c/3 - 17. Let j(v) = 0. What is v?
-1, 1/3, 1, 2
Let g(m) be the first derivative of 2*m**6/15 - 2*m**5/5 - m**4 - 12*m - 4. Let x(z) be the first derivative of g(z). Find u, given that x(u) = 0.
-1, 0, 3
Factor 1/4*b**3 - 3*b + 0 + 1/4*b**2.
b*(b - 3)*(b + 4)/4
Let v(f) be the second derivative of 2*f**7/21 - 5*f**6/3 + 107*f**5/10 - 82*f**4/3 + 16*f**3/3 + 64*f**2 + 56*f. Factor v(t).
2*(t - 4)**3*(t - 1)*(2*t + 1)
Suppose b + 48 = -3*b - 5*f, 0 = -2*b + 4*f + 2. Let x be (b/(140/15))/(-3). Factor 0 + x*v**2 + 0*v.
v**2/4
Let j(z) be the second derivative of -z**4/108 - z**3/18 + 2*z**2/9 + 2*z + 53. Factor j(q).
-(q - 1)*(q + 4)/9
Suppose -66 = -v - 17. Factor -3 + v*i - 65*i + 67 + i**2.
(i - 8)**2
Let i(z) be the first derivative of -3*z**5/5 + 15*z**4/4 + 8*z**3 - 72*z**2 - 397. Let i(u) = 0. Calculate u.
-3, 0, 4
Let u = 20 - -28. Let z be ((-1)/9)/((-2)/u*4). Factor -z*h + 2/3*h**2 + 0.
2*h*(h - 1)/3
Let d(p) be the second derivative of p**4/42 - 2*p**3/21 + p**2/7 - 105*p. Determine k so that d(k) = 0.
1
Let s(z) = 8*z**3 + 6*z**2 + 7*z. Let i(p) = p**3 + p**2 + p. Let j be (-173)/(-5) - 26/(-65). Let f(y) = j*i(y) - 5*s(y). Determine o, given that f(o) = 0.
0, 1
Let f(c) = c**4 + c. Let j(w) = w**4 - w**3 - w**2 + w. Suppose -p + 6*p = -20. Let k(y) = p*f(y) + 3*j(y). Determine d so that k(d) = 0.
-1, 0
What is z in -6*z**2 + 3 + 6/5*z**3 - 3/5*z**5 + 3*z**4 - 3/5*z = 0?
-1, 1, 5
Let f be (-5)/5*(-12)/4*(-567)/(-49). Factor -27*c + f - 51/7*c**2 - 3/7*c**3.
-3*(c - 1)*(c + 9)**2/7
Let y(x) = -2*x - 9. Let g be y(-4). Let c be -2 - ((-2 - g) + -5). Factor -2/7*w**2 - 4/7*w + 2/7*w**c + 0 + 4/7*w**3.
2*w*(w - 1)*(w + 1)*(w + 2)/7
Let t(d) be the third derivative of -d**6/120 + d**5/10 - d**4/2 - 17*d**3/6 + 24*d**2. Let g(x) be the first derivative of t(x). What is u in g(u) = 0?
2
Let a(c) be the first derivative of 1/60*c**5 + 3*c + 1 - 1/18*c**3 - 1/6*c**2 + 1/36*c**4. Let i(f) be the first derivative of a(f). Factor i(w).
(w - 1)*(w + 1)**2/3
Let y(c) = -2*c**2 - 4*c + 6. Suppose 3*h + 20 = 26. Let l(z) = z**2 + 5*z - 6. Let x(p) = h*y(p) + 3*l(p). Suppose x(q) = 0. Calculate q.
1, 6
Suppose 2*z = 6*z - 12. Suppose -5*y - u + 7 = 0, -3*y - 5*u - 4 - 5 = 0. Factor -2*w**2 + y*w - 1 + 2*w + 3 - 2*w**z - 2*w.
-2*(w - 1)*(w + 1)**2
Let n(c) be the first derivative of -c**4/4 - 13*c**3/3 + 24*c**2 + 46. Let n(a) = 0. Calculate a.
-16, 0, 3
Let u(o) = -o**5 + 2*o**4 - o**3 + o + 2. Let k(p) = -24*p**5 + 9*p**4 + 48*p**3 + 45*p**2 + 12*p + 12. Let g(h) = k(h) - 6*u(h). Solve g(a) = 0 for a.
-1, -1/6, 0, 2
Let g(b) be the second derivative of -b**8/504 + b**6/30 + 4*b**5/45 + b**4/12 - 7*b**2 - 15*b. Let p(u) be the first derivative of g(u). Factor p(t).
-2*t*(t - 3)*(t + 1)**3/3
Suppose 9 = 3*k + 3. Suppose 1243*g - 21*g**k + g**2 - 1275*g - 4*g**3 - 16 = 0. What is g?
-2, -1
Suppose w + 6*i - 5*i - 14 = 0, 2*i = -2. Let m be (-8)/(-1) + -1 + -19 + w. Factor -1/7*b**m + 1/7*b**2 + 0*b + 0.
-b**2*(b - 1)/7
Let c(o) be the first derivative of -o**4/2 + 26*o**3/3 + 16*o**2 - 56*o + 167. Factor c(f).
-2*(f - 14)*(f - 1)*(f + 2)
Let m be 3*((-68)/(-6))/2. Suppose 2*s = -13 + m. Suppose -s - o - o + o**3 - o = 0. Calculate o.
-1, 2
Let y(v) be the third derivative of v**5/12 - 175*v**4/3 + 49000*v**3/3 + 431*v**2 - v. Let y(x) = 0. What is x?
140
Let z(l) = -10*l**4 - 5*l**3 + 5*l**2 + 5*l + 5. Let h(u) = 9*u**4 + 5*u**3 - 6*u**2 - 4*u - 4. Let j(p) = -5*h(p) - 4*z(p). Factor j(f).
-5*f**2*(f - 1)*(f + 2)
Suppose -13 = -3*c + 143. Factor 10*j**3 - 2 - 4*j + 20*j + c*j**2 + 10*j**3 - 14.
4*(j + 1)*(j + 2)*(5*j - 2)
Factor 0 - 20/3*a**3 + 0*a - 1/3*a**4 - 19/3*a**2.
-a**2*(a + 1)*(a + 19)/3
Let p(o) be the third derivative of 5*o**8/96 - 11*o**7/21 + 103*o**6/48 - 55*o**5/12 + 65*o**4/12 - 10*o**3/3 + 725*o**2. Suppose p(c) = 0. What is c?
2/7, 1, 2
Let d(v) = 10*v**2 + 9*v**2 + 3 - 17*v**2 - 4 + v. Let n be d(1). Factor 3/4*l**n + 1/4*l**3 + 1/4 + 3/4*l.
(l + 1)**3/4
Factor 99*u + 4*u**2 - 20 + 2 - 12 + 17*u**2.
3*(u + 5)*(7*u - 2)
What is a in 5 - 35/3*a**2 - 20/3*a = 0?
-1, 3/7
Solve -11*t**3 + t**2 + 9*t**3 + 3 + 5*t**3 - 3*t + 2*t**2 - 6 = 0.
-1, 1
Let g(m) be the first derivative of 2*m**5/45 + 35*m**4/18 - 2*m**3/27 - 35*m**2/9 + 184. Find v such that g(v) = 0.
-35, -1, 0, 1
Suppose -6 = 2*a + 2*i, 4*a + 2*i + 0 = -4. Find o such that 12*o - 3*o**2 - 10 - a + 6 - 4 = 0.
1, 3
Let u(t) be the third derivative of t**6/360 - t**4/6 + 2*t**3/3 - 24*t**2. Let f(z) be the first derivative of u(z). Factor f(n).
(n - 2)*(n + 2)
Let h(q) = q + 15. Let v be h(-13). Let g be (-5)/(-15) + 3/27. Let 0 - 2/9*a**3 + g*a**v - 2/9*a = 0. Calculate a.
0, 1
Let z be 5/((-10)/16) - 3. Let s = z + 15. Determine q, given that -2*q - 17*q**2 - 12*q**s - q**2 - q - 27*q**3 = 0.
-1, -1/4, 0
Factor 36*z - 69/2 - 3/2*z**2.
-3*(z - 23)*(z - 1)/2
Let c(m) = -m**3 + 10*m**2 - 8*m + 1. Let u be c(9). Suppose -7*a + u = -2*a. Factor -a + 2 - 2*p**3 + 4*p**5 - 2*p**4 + 2*p**2 - 2*p**5.
2*p**2*(p - 1)**2*(p + 1)
Let d = -36762 + 2389576/65. Let o = d + 22/13. Factor o*v + 2/5*v**2 + 18/5.
2*(v + 3)**2/5
Factor -40/7 + 138/7*r - 24/7*r**4 + 100/7*r**3 - 176/7*r**2 + 2/7*r**5.
2*(r - 5)*(r - 4)*(r - 1)**3/7
Let s be -3 - (-11)/33*15. Factor -m - 1/2 - 1/2*m**s.
-(m + 1)**2/2
Let x be (-1096)/(-3425) - ((-2)/(-25))/(-1). Solve 0 - 2/5*y**5 + 6/5*y**3 - 2/5*y**4 + x*y**2 - 4/5*y = 0.
-2, -1, 0, 1
Let m be (1 + (0 - 2))*0. Let s = m - -3. Factor 7 - 3*a**5 + 3 - 10 - 12*a**4 - 12*a**s.
-3*a**3*(a + 2)**2
Let j(s) be the third derivative of s**6/30 - 4*s**5/5 - 10*s**4 - 128*s**3/3 - 18*s**2 + 3*s. Let j(h) = 0. Calculate h.
-2, 16
Let v be 1515 - ((-4 - 0) + 0). Find k such that 290 - 3*k**4 - 515 - v - 1500*k - 131 - 60*k**3 - 450*k**2 = 0.
-5
Let t(s) = 41*s**4 - 68*s**3 - 10*s**2 + 3*s + 3. Let k(p) = -535*p**4 + 885*p**3 + 130*p**2 - 40*p - 40. Let v(h) = -3*k(h) - 40*t(h). Factor v(u).
-5*u**2*(u - 2)*(7*u + 1)
Let a(u) be the first derivative of -4*u**5 + 32*u**2 + 50/3*u**6 + 16*u - 41*u**4 - 19 + 4/3*u**3. Let a(r) = 0. Calculate r.
-1, -2/5, 1
Suppose 150*o - 144*o - 162 = 0. Let g(a) = 28*a - 1. Let i be g(1). What is s in -6*s - i - 3*s**2 + o = 0?
-2, 0
Let u(d) = -2*d**2 - 40*d - 59. Let s(t) = -t**2 - 20*t - 28. Let p(w) = 14*s(w) - 6*u(w). Factor p(v).
-2*(v + 1)*(v + 19)
Suppose -4*j - 3*f - 2*f + 13 = 0, 14 = 5*j + 4*f. Suppose 3*b = 2 - j. Factor b + 2/3*m**5 + 2/3*m**4 - 2/3*m**3 + 0*m - 2/3*m**2.
2*m**2*(m - 1)*(m + 1)**2/3
Factor 2/5*h**3 + 1/5*h**5 + 0*h**2 + 0*h - 3/5*h**4 + 0.
h**3*(h - 2)*(h - 1)/5
Let h be 5/1 + -1*1. Let k = -36/125 + 61/125. Factor 1/5*c**h - k + 2/5*c + 0*c**2 - 2/5*c**3.
(c - 1)**3*(c + 1)/5
Let i(y) be the first derivative of y**4/12 + 2*y**3/3 + 2*y**2 + 8*y/3 - 245. Find j such that i(j) = 0.
-2
Let f = -1454 - -15998/11. Factor -2/11*z**2 + f*z - 2/11.
-2*(z - 1)**2/11
Suppose 0 = -50*g - 37*g. Let r(y) be the first derivative of 0*y**2 + 1/22*y**4 + g*y - 4/33*y**3 + 10. Factor r(d).
2*d**2*(d - 2)/11
Factor 8/9*s**4 + 0 - 10/9*s**3 + 4/9*s**2 - 2/9*s**5 + 0*s.
-2*s**2*(s - 2)*(s - 1)**2/9
Suppose 514*g = 536*g - 110. Solve -2*f + 1/5*f**2 + g = 0.
5
Let h(s) be the second derivative of s**6/450 + s**5/150 + 7*s**3/6 - 14*s. Let q(p) be the second derivative of h(p). Factor q(k).
4*k*(k + 1)/5
Suppose -5*h - 5*m = 25, 3*m + 69 = 5*h + 22. What is k in -8/7*k**h + 2/7*k + 12/7*k**3 - 8/7*k**2 + 2/7*k**5 + 0 = 0?
0, 1
Let p be -2*(0 - 9)*(-1)/3. Let b be -2 + 3*(-10)/p. Factor 0*x - 2/5*x**b + 0*x**2 + 0 - 4/5*x**4 - 2/5*x**5.
-2*x**3*(x + 1)**2/5
Let n(