l + 5*j = 68. Let a be (1 - 4/l*4) + 0. Determine c so that 1/2*c + 1/2*c**2 + a = 0.
-1, 0
Suppose -2*h = -2*b + 42, -2*b - 15 = 3*b. Let o be -4 + 6 - h/(-14). Factor 4/7*v**3 - 2/7*v**4 + 0*v - o*v**2 + 0.
-2*v**2*(v - 1)**2/7
Let w = 115117/2002 + -1/1001. Let h = w - 57. Suppose h*r + 0 - r**2 = 0. What is r?
0, 1/2
Let s(f) be the first derivative of 1/9*f**3 - 2 - f**2 + 3*f. Suppose s(z) = 0. What is z?
3
Let c = -33 + 33. Let r(y) be the second derivative of -1/4*y**4 + c - 6*y**2 + 2*y**3 - 3*y. Let r(a) = 0. What is a?
2
Let r(j) be the first derivative of -j**4/12 + 4*j**3/3 + 9*j**2/2 - 3*j + 27. Let s(z) be the first derivative of r(z). Factor s(p).
-(p - 9)*(p + 1)
Let v(x) be the second derivative of x**4/4 - x**3/2 - 63*x**2 + 17*x + 3. Factor v(w).
3*(w - 7)*(w + 6)
Let j(r) be the second derivative of -2*r**7/35 + 28*r**6/75 + 19*r**5/25 - 22*r**4/5 - 56*r**3/15 + 16*r**2 - 24*r - 2. Solve j(k) = 0 for k.
-2, -1, 2/3, 2, 5
Let a(d) be the first derivative of -2*d**5/45 + 8*d**4/9 - 10*d**3/3 - 18*d**2 + 225. Factor a(j).
-2*j*(j - 9)**2*(j + 2)/9
Suppose 9*x + 72 = 15*x. Suppose -9 = -7*c + x. Factor 3 + 3/2*a**2 + c*a**3 - 15/2*a.
3*(a - 1)*(a + 2)*(2*a - 1)/2
Let d = -273 - -278. Let m(a) be the third derivative of 1/112*a**8 + 0*a**6 + 0 - 1/10*a**d + 1/35*a**7 + 0*a**3 - 1/8*a**4 + 0*a - a**2. Factor m(i).
3*i*(i - 1)*(i + 1)**3
Suppose -5*s + 13 = -b, -4*s - 2*b = -0 - 2. Suppose 6 + 12*l**2 - 15*l**2 + 0 + 6*l**s + 19*l = 0. Calculate l.
-6, -1/3
Factor -873*x + 2874 + 4*x**2 + 3210 + 1185*x.
4*(x + 39)**2
Let p(s) = -10*s**2 + 10. Let v(q) = -q**2 - q. Suppose n = -3*n + 36. Suppose 4*m - n = -13. Let d(j) = m*p(j) + 5*v(j). Find f such that d(f) = 0.
-1, 2
Let k be 6/(-8640)*-376 + 2/(-18). Let y(p) be the first derivative of -3/2*p**3 - 3/2*p**2 - 3/4*p**4 - k*p**5 + 7 - 3/4*p. Determine r so that y(r) = 0.
-1
Determine k, given that -3/4*k**2 + 0*k + 3/4 = 0.
-1, 1
Factor 78/7*p**2 + 80/7 + 1/7*p**3 - 159/7*p.
(p - 1)**2*(p + 80)/7
Let l(h) be the second derivative of h**4/30 - 34*h**3/15 - 7*h**2 - h - 76. Solve l(z) = 0 for z.
-1, 35
Let x(m) be the third derivative of -m**7/420 + m**5/40 - m**4/24 + 264*m**2 + 2*m. Factor x(c).
-c*(c - 1)**2*(c + 2)/2
Let f be (-152)/(-10) + 8/(-40). Let a be -1 - (-5)/(f/9). Find i, given that 4*i**3 - a*i**3 + 2*i**3 - 2*i**3 - i**5 - i = 0.
-1, 0, 1
Let q be (-1)/7 - 6/(-924)*-11346. Let d = q - -74. Factor -d*u**2 + 10/11 - 8/11*u.
-2*(u - 1)*(u + 5)/11
Suppose h = 4*i - 3, 3*i + 4 = h + h. Suppose -32 + 0*d**i - 4*d**2 - 20*d**2 - 4*d**3 - 48*d = 0. What is d?
-2
Let o(t) be the first derivative of 14 + 2/9*t**3 + 2*t**2 + 6*t. Suppose o(j) = 0. Calculate j.
-3
Factor 9*h**3 - h**3 + h + 66*h**2 - 30*h**3 - 16 + 8*h**3 - 37*h.
-2*(h - 4)*(h - 1)*(7*h + 2)
Let q(n) = 11*n**3 - 35*n**2 + 13*n - 13. Let u(r) = -5*r**3 + 17*r**2 - 6*r + 6. Let j(c) = -6*q(c) - 13*u(c). Factor j(l).
-l**2*(l + 11)
Let j(h) be the third derivative of 0 + 16/3*h**3 + 19*h**2 - 7/6*h**4 - 1/15*h**5 + 0*h. What is g in j(g) = 0?
-8, 1
Let q(n) be the first derivative of n**5/10 - 11*n**4/8 + 13*n**3/2 - 45*n**2/4 - 113. Factor q(r).
r*(r - 5)*(r - 3)**2/2
Let j = 1/3 - 1/9. Let a(q) be the first derivative of -1/6*q**4 + 0*q + j*q**2 + 6 + 10/27*q**3. Find m, given that a(m) = 0.
-1/3, 0, 2
Let g(f) = 9*f**3 - 27*f**2 + 6*f + 6. Let p(j) = j**3 - j**2 + j + 1. Let z(c) = g(c) - 6*p(c). Factor z(k).
3*k**2*(k - 7)
Suppose 6/5*z**4 - 8/5 - 4*z**3 + 8/5*z + 14/5*z**2 = 0. Calculate z.
-2/3, 1, 2
Let x = 6 + -2. Let v = -5760 - -5765. Let -6/5*y**3 + 0*y + 0 - 3/5*y**v + 0*y**2 + 9/5*y**x = 0. Calculate y.
0, 1, 2
Factor 23/2*n**2 + 10*n + 2 + 7/2*n**3.
(n + 1)*(n + 2)*(7*n + 2)/2
Let l(t) be the third derivative of 1/420*t**7 - 1/40*t**5 - 19*t**2 + 0 + 1/12*t**4 - 1/120*t**6 + 0*t + 1/3*t**3. Factor l(g).
(g - 2)**2*(g + 1)**2/2
Let o be 1 + 3 + 1/(2/108). Suppose -4*c + o = 42. Factor 0*r + 0 - 4/3*r**c - 2/3*r**5 - 2/3*r**3 + 0*r**2.
-2*r**3*(r + 1)**2/3
Let g(l) be the second derivative of 3*l**5/20 - 13*l**4/4 + 51*l**3/2 - 189*l**2/2 - 7*l. Factor g(j).
3*(j - 7)*(j - 3)**2
Suppose -5*q = -3*q - 94. Factor -5*y + 52*y**3 + 17 - 4*y**2 + 5*y**4 - q*y**3 - 11*y**2 - 7.
5*(y - 1)**2*(y + 1)*(y + 2)
Let s be (2 + 9)*(-4)/(-22). Factor -3/4*f**s + 3*f - 3.
-3*(f - 2)**2/4
Let r(j) be the third derivative of j**6/160 - 7*j**5/80 + 15*j**4/32 - 9*j**3/8 - 146*j**2 - 2. Determine z, given that r(z) = 0.
1, 3
Let g(a) be the second derivative of -a**7/672 - a**6/480 + a**5/40 - a**4/24 - 25*a**3/6 - 3*a. Let u(c) be the second derivative of g(c). Factor u(b).
-(b - 1)*(b + 2)*(5*b - 2)/4
Let w(d) be the third derivative of -49*d**6/40 + 273*d**5/20 - 18*d**4 + 10*d**3 - 10*d**2 - 14*d. Factor w(j).
-3*(j - 5)*(7*j - 2)**2
Suppose -4*j = -0*j - 160. Let y = j + -21. Let q**3 - 13*q**3 - 6*q**5 + 2*q + y*q**4 - 3*q**4 = 0. Calculate q.
-1/3, 0, 1
Let v = -84707/6 + 14118. Determine w, given that 1/6*w + 1/6 + v*w**5 + 1/6*w**4 - 1/3*w**2 - 1/3*w**3 = 0.
-1, 1
Let j(z) = 44*z**2 - 6864*z + 28. Let r(w) = 8*w**2 - 1248*w + 5. Let h(l) = 5*j(l) - 28*r(l). What is q in h(q) = 0?
0, 156
Solve -1/3*n**2 + 0 - 14*n = 0.
-42, 0
Let j = -6997 - -6997. What is o in 3/7*o**5 - 15/7*o**4 - 12/7*o**2 + 0*o + 24/7*o**3 + j = 0?
0, 1, 2
Suppose 241*w = 249*w - 40. Suppose -y**2 + 1/2*y**3 + 0*y + 0 - 1/2*y**w + y**4 = 0. Calculate y.
-1, 0, 1, 2
Let q be 17/102*(-7)/(-3). Let f(i) be the second derivative of -1/3*i**2 - q*i**4 + 0 - 1/10*i**5 - 6*i - 5/9*i**3. Suppose f(m) = 0. Calculate m.
-1, -1/3
Suppose 4*v + 0*v = -2*i + 4, 0 = 2*v + 2. Let c = -5 - -7. Solve -2*m + i*m - m**5 - 4*m**c - m**5 + 4*m**4 = 0.
-1, 0, 1
Let y be (2 - 2)*(51 - 52). Factor y*a - 3/5*a**2 + 0.
-3*a**2/5
Let x = -5 + -2. Let h be (x - -9) + 1*2. Factor 0*t + t**h - 7/4*t**3 - 1/2*t**2 + 0.
t**2*(t - 2)*(4*t + 1)/4
Let n(k) be the third derivative of 1/360*k**5 + 0*k**4 + 0 + 10*k**2 + 0*k**3 + 1/1260*k**7 - 1/360*k**6 + 0*k. Factor n(a).
a**2*(a - 1)**2/6
Let d(q) = -q**3 - 15*q**2 - 45*q - 64. Let g(i) = -2*i**2 - i. Let x be g(-1). Let n(y) = -y**2 + y. Let k(p) = x*d(p) + 3*n(p). Factor k(h).
(h + 4)**3
Suppose 2 = -c + 3*s, 0 = -4*s + 10 - 2. Let l(n) be the first derivative of 0*n**c + 2/5*n**5 - 2 + 2*n + 0*n**2 - 4/3*n**3. Suppose l(o) = 0. What is o?
-1, 1
Factor -21/2*q**2 + 57/8*q - 9/8.
-3*(4*q - 1)*(7*q - 3)/8
Suppose t = 5*d - 0*t - 8, 0 = d + 2*t - 6. Suppose -4*u + 13*u**2 + 4*u**3 + u**2 - 4 - 7*u**d + 13*u**2 + 16*u**5 - 32*u**4 = 0. Calculate u.
-1/2, 1
Let k be (-1 + 8/10)*(-57 + (-2520)/(-135)). Find n, given that -3*n**3 - 4/3 + k*n - 10*n**2 = 0.
-4, 1/3
Let z(b) = 5*b - 22. Let g(k) = 7*k + 47. Let r be g(-6). Let f be z(r). Determine y, given that 3/5 + 9/5*y**2 + 3/5*y**f + 9/5*y = 0.
-1
Let c = 410 + -407. Let y(q) be the third derivative of -1/24*q**4 + 1/96*q**6 - 1/60*q**5 + 0*q**c + 0*q + 1/280*q**7 + 0 + 6*q**2. Factor y(r).
r*(r - 1)*(r + 2)*(3*r + 2)/4
Factor 0 - 12/19*w + 26/19*w**2 + 2/19*w**4 - 16/19*w**3.
2*w*(w - 6)*(w - 1)**2/19
Let z(c) = -c**2 + 8*c - 15. Suppose 2*b + 0 = 3*q - 2, -2*b = -q - 6. Let f be z(b). Solve 14/3*m**3 + 2/3*m**2 + 0 + 49/6*m**4 + f*m = 0.
-2/7, 0
Let w be 208/36 + (-10)/(-45). Let y be (-9)/w*4/(-36). Factor 1/3 - 1/2*j + y*j**3 + 0*j**2.
(j - 1)**2*(j + 2)/6
Suppose 2*f + z = 0, -3*f + 194*z + 14 = 192*z. Solve 5/2 + 5/4*r**f + 15/4*r = 0.
-2, -1
Factor 11*l - 1/4*l**2 - 121.
-(l - 22)**2/4
Suppose 39 = -b + 43. Let g(d) be the second derivative of -4*d + 0 + 1/2*d**3 + 1/12*d**b + d**2. Suppose g(l) = 0. Calculate l.
-2, -1
Let h(c) be the first derivative of c**7/147 - 3*c**5/70 - c**4/21 - 20*c - 19. Let n(y) be the first derivative of h(y). Factor n(l).
2*l**2*(l - 2)*(l + 1)**2/7
Let j(w) be the third derivative of w**5/60 - 13*w**4/6 + 338*w**3/3 - 2*w**2 + 62. Suppose j(a) = 0. Calculate a.
26
Let g(x) = -x**2 - 6*x + 4. Let w be g(-6). Suppose 14 - 5 - 5 - w*p**2 = 0. What is p?
-1, 1
Let s(p) = -p**3 - 12*p**2 - p + 12. Let i be s(-12). Let r be 30/(-25)*4/(i/(-15)). Suppose -1/3*v**r + 1/3 - 1/3*v**2 + 1/3*v = 0. What is v?
-1, 1
Let v(s) be the second derivative of s**5/20 + 8*s**4/3 + 4*s + 4. Let v(m) = 0. What is m?
-32, 0
Let g be (714/833)/(16/14). Factor