 l = -122 - -614/5. Let r be 1411/332 - (-2)/(-8). Determine a, given that -4*a**3 + 8/5*a**2 + 16/5*a**r + 0 - l*a**5 + 0*a = 0.
0, 1, 2
Suppose -h - 9 = -4*h. Factor 2*x**3 + 25*x**2 + 40*x + 20 - 3*x**h + 6*x**3.
5*(x + 1)*(x + 2)**2
Let y(c) be the second derivative of -c**10/7560 + c**8/560 - c**7/315 - 3*c**4/4 + 18*c. Let b(l) be the third derivative of y(l). Find p, given that b(p) = 0.
-2, 0, 1
Let l(w) = 2*w**3 - 10*w**2 + 4*w + 18. Let f(z) = -11*z - 81*z**2 - 54 + 3*z**3 - 9*z**3 + 111*z**2. Let v(i) = -2*f(i) - 7*l(i). Find d, given that v(d) = 0.
-1, 3
Factor 6*k**3 - 21*k**2 - 2*k**4 + 20*k - 8*k + 5*k**4 + 0*k**4.
3*k*(k - 1)**2*(k + 4)
Let g be ((-118)/(-6))/(105/72). Let o = g - 72/7. Find p, given that 44/5*p**4 - 56/5*p - 28/5*p**2 + 2*p**5 + 46/5*p**3 - o = 0.
-2, -1, -2/5, 1
Suppose -4*v = -2*y - 8*v - 4, -64 = -29*y + 3*v. Suppose 0 + 4/17*i**3 - 2/17*i - 2/17*i**y = 0. Calculate i.
-1/2, 0, 1
Let a(x) = 7*x**3 + 10*x**2 - 16*x - 96. Let f(t) = -3*t**3 - 5*t**2 + 8*t + 48. Let y(l) = -4*a(l) - 10*f(l). Suppose y(w) = 0. Calculate w.
-4, 3
What is l in 0 - 3*l**3 + 0*l + 9/2*l**4 + 0*l**2 - 3/2*l**5 = 0?
0, 1, 2
Let i = 241/3 - 79. Let u(g) be the first derivative of g + 5/8*g**4 + 2 + 1/4*g**2 - i*g**3. Solve u(t) = 0 for t.
-2/5, 1
Let x(p) = p**2 - 12. Let t be x(-7). Let m = -35 + t. Suppose -m*y**2 + 2*y**3 - 93*y**4 + 2*y**2 + 91*y**4 = 0. What is y?
0, 1
Suppose 4*w + 3 = -o, 0 = 3*w + 4*o - 9 + 21. Suppose 2*c + 3*c + 4*y - 10 = w, 3*y = -5*c + 15. Factor -3*x**2 + 1 - 4 + c*x**2.
3*(x - 1)*(x + 1)
Let o(k) be the third derivative of -k**7/525 + k**6/60 - 2*k**5/75 + 229*k**2. Determine t so that o(t) = 0.
0, 1, 4
Let d be 2*3/6 + 4 + -1. Factor -3/7*z**3 + 1/7*z**d + 0 + 1/7*z**5 - 2/7*z - 5/7*z**2.
z*(z - 2)*(z + 1)**3/7
Let v(p) be the third derivative of -2/9*p**4 + 15*p**2 + 8/9*p**3 + 0 + 0*p + 1/45*p**5. Factor v(w).
4*(w - 2)**2/3
Let q be 280/20*(-1)/(-2). Factor -2*n**2 - 10*n**3 + q*n**3 + n**4 + 6*n**3 - 2*n**4.
-n**2*(n - 2)*(n - 1)
Let r be (-104)/(-10) - (0 - (-6)/15). Let b be (12 + -7)*(6/r + 0). Factor 1/2*p + 3/4*p**2 + 1/4*p**b + 0.
p*(p + 1)*(p + 2)/4
Let y = 145 + -143. Factor -31 + 12*p**y - 8*p + 31 - 4*p**4.
-4*p*(p - 1)**2*(p + 2)
Let n = -4716 - -9435/2. Factor 3/4*s**3 - 3/4*s - 3/2*s**2 + n.
3*(s - 2)*(s - 1)*(s + 1)/4
Let a(m) = 2*m**2 + 26*m + 89. Let x be a(-7). Factor 0*k**2 + 0 + 0*k - 2/9*k**x - 8/9*k**4 - 8/9*k**3.
-2*k**3*(k + 2)**2/9
Let w(d) = d**2 + 2*d + 6. Let g(z) = 6*z**2 + 11*z + 34. Let p(i) = 6*g(i) - 34*w(i). Factor p(o).
2*o*(o - 1)
Let q(r) = -3*r**4 + 5*r**3 + 7*r**2 - 13*r + 8. Let g(y) = 3*y**4 - 6*y**3 - 6*y**2 + 12*y - 6. Let a(l) = 4*g(l) + 3*q(l). Suppose a(s) = 0. Calculate s.
-1, 0, 1, 3
Suppose 2*b + 12 = 4, -5*a = -3*b - 32. Suppose -5*p - 5*k + 10 = 0, -3*p - 5*k - 1 = -5. Determine n so that a*n**3 + 4*n + n**3 - 3*n**p + 6*n**2 = 0.
-2, -1, 0
Let 10 + 2/5*k**2 - 4*k = 0. What is k?
5
Let z = -942 + 10370/11. Factor -8/11 - 2/11*o**2 - z*o.
-2*(o + 2)**2/11
Let c(n) = 2*n**4 + n**3 + n**2 + n - 1. Let w(x) = -5*x**4 + 54*x**3 + 77*x**2 + 16*x - 2. Let y(a) = -2*c(a) + w(a). Factor y(d).
-d*(d - 7)*(d + 1)*(9*d + 2)
Suppose t = 3*f - 18, -18 = -3*f - t - 3*t. What is v in -20*v - 3*v**3 + 2*v**3 - 20 - 31*v**2 + f*v**3 + 36*v**2 = 0?
-2, -1, 2
Factor -57*p**2 + 28 + 110*p**2 + 18*p - 51*p**2.
2*(p + 2)*(p + 7)
Let h be -1*(303/5 + (-1 - 0)). Let s = h - -60. Find u such that s*u**2 + 4/5*u + 2/5 = 0.
-1
Suppose 149 + 83 = 58*c. Let u(y) be the first derivative of -3 + 0*y**3 + 0*y**2 - 3/4*y**c + 0*y. Suppose u(h) = 0. What is h?
0
Let f be (3 - 6)/(-9) + (-110)/258. Let u = f + 55/129. Factor -2/3*q**3 + 1/3*q**5 + u*q + 1/3 - 2/3*q**2 + 1/3*q**4.
(q - 1)**2*(q + 1)**3/3
Let q(c) be the second derivative of 2/15*c**6 - 2/5*c**5 + 5/8*c**4 + 5*c + 0 - 1/56*c**7 - 13/24*c**3 + 1/4*c**2. Find g, given that q(g) = 0.
1/3, 1, 2
Let y(j) = 37*j**3 + 21*j**2 + 135*j - 687. Let l(q) = 6*q**3 - q**2 - 2. Let b(n) = -6*l(n) + y(n). What is g in b(g) = 0?
-15, 3
Let j = -96 + 136. Let -60*c + 29*c**4 + 61*c**4 + 20*c**5 - 139*c**2 + 44*c**2 - 15*c**4 + 20 + j*c**3 = 0. What is c?
-2, -1, 1/4, 1
Let g(s) be the third derivative of 5*s**8/336 + s**7/42 - s**6/12 - 2*s**2 + 33*s. Factor g(f).
5*f**3*(f - 1)*(f + 2)
Find o, given that o + 24*o - 1 - 36*o**2 + 1 + 20*o**3 - 9*o**2 = 0.
0, 1, 5/4
Let p = -76 + 86. Suppose p = -3*d + 8*d. Factor 0 - 1/3*j**3 + 0*j**d - 1/3*j**4 + 0*j.
-j**3*(j + 1)/3
Factor 9/5 - 1/5*m**2 - 1/5*m**3 + 9/5*m.
-(m - 3)*(m + 1)*(m + 3)/5
Let q(b) be the first derivative of -b**3/3 + 109*b**2/2 + 615. Factor q(z).
-z*(z - 109)
Let c(t) be the second derivative of 0 - 1/12*t**4 + 5/2*t**2 + 0*t**3 - 1/30*t**5 - 2*t. Let l(b) be the first derivative of c(b). Factor l(s).
-2*s*(s + 1)
Suppose -5*v = -2*v - 21. Suppose v*t = 10*t. Factor 1/2*c**4 + 1/2*c**3 - c**2 + t + 0*c.
c**2*(c - 1)*(c + 2)/2
Let q = 2 - 0. Suppose -2*n + 5*o + q = -7, -2*o = -2*n + 6. Find v, given that -v**2 - 3*v + 1 + v**2 - v**n + 3*v**3 = 0.
-1, 1/3, 1
Let q(f) = 63*f**3 + 136*f**2 + 68*f - 4. Let j(p) = -380*p**3 - 815*p**2 - 410*p + 25. Let k(i) = -4*j(i) - 25*q(i). Factor k(s).
-5*s*(s + 2)*(11*s + 6)
Factor 121*s**3 + 0 + 14641*s**2 + 1/3*s**4 + 1771561/3*s.
s*(s + 121)**3/3
Factor -1360*p + 108 + 3*p**2 + 651*p + 649*p.
3*(p - 18)*(p - 2)
Let y(f) be the first derivative of -f**3/2 + 231*f**2/8 + 117*f/4 + 352. Suppose y(l) = 0. Calculate l.
-1/2, 39
Let n = -43 + 130/3. Let b(k) be the first derivative of -k - n*k**3 + k**2 + 7. Factor b(d).
-(d - 1)**2
Suppose -21*p = -16*p - 30. Let v be ((-10)/(-15))/(3/p). Factor -v*f**3 + 4/3*f - 2/3*f**4 + 0 + 2/3*f**2.
-2*f*(f - 1)*(f + 1)*(f + 2)/3
Let m(y) be the first derivative of 4*y**5/5 - y**4/4 - 7*y**3/3 + y**2/2 + 3*y + 83. Let m(b) = 0. Calculate b.
-1, -3/4, 1
Let f be (-3)/(-7)*(-19 - (-540)/24). Factor -7/2*i - 1/2*i**3 - 5/2*i**2 - f.
-(i + 1)**2*(i + 3)/2
What is q in -2/19 - 8/19*q**2 - 10/19*q = 0?
-1, -1/4
Let i be ((-6)/(-9))/(28/12). Let o = 134 - 131. Factor i*v + 8/7*v**4 + 0 + 4/7*v**2 - 2*v**o.
2*v*(v - 1)**2*(4*v + 1)/7
Suppose -y + 2*y - 4 = 0. Suppose -3*z = -y*z + 5. Factor -1/2*k**3 - 1/2*k**2 + 3/4*k**4 - 1/4*k**z + 3/4*k - 1/4.
-(k - 1)**4*(k + 1)/4
Let p(j) = -j**3 + 9*j**2 - 7*j - 18. Let d be p(8). Let u = -6 - d. Factor 1/2*k**3 + 1/2*k**2 - 1/2*k**5 - 1/2*k**u + 0 + 0*k.
-k**2*(k - 1)*(k + 1)**2/2
Let f be (2 - 1) + -3 + 4. Let l(a) = -a**3 + 6*a**2 + 8*a - 4. Let w be l(7). Let p**5 - 4*p + f*p**4 + 5*p - 2*p**4 - 2*p**w = 0. Calculate p.
-1, 0, 1
Let q(l) = 8*l**3 - 15*l**2 + 7*l. Let j(t) = -2289*t**3 + 2*t - 6*t**2 + 2291*t**3 + 2*t**2. Let u = 8 + -6. Let d(m) = u*q(m) - 9*j(m). Factor d(z).
-2*z*(z - 2)*(z - 1)
Let r(j) be the second derivative of 5*j**9/3024 + j**8/336 - j**7/168 - j**6/72 - 7*j**3/2 + 22*j. Let a(y) be the second derivative of r(y). Factor a(u).
5*u**2*(u - 1)*(u + 1)**2
Let s(a) be the second derivative of -5*a**4/12 + 25*a**3/3 - 40*a**2 - 626*a. What is m in s(m) = 0?
2, 8
Let v(p) = p + 1. Let k be v(8). Factor 2*c**2 - 9 + k - 2*c**3.
-2*c**2*(c - 1)
Let g(f) be the second derivative of f**6/6 - 7*f**5/4 + 25*f**4/4 - 15*f**3/2 - 279*f. Factor g(i).
5*i*(i - 3)**2*(i - 1)
Let o = 16 - 12. Factor 0*f**3 + 14*f**5 - 9*f**o + 6*f**3 - 11*f**5.
3*f**3*(f - 2)*(f - 1)
Factor -2/3*y**2 - 26/3*y - 28.
-2*(y + 6)*(y + 7)/3
Let i be (0*4*1/8)/(-1). Solve 3*j**3 - 144 - 7*j + 44*j**2 + 55*j - 11*j**3 + i*j**4 - 4*j**4 = 0 for j.
-3, 2
Let z(w) = -18*w**3 + 9*w**2 + 24*w. Suppose -5*m + 4 = -6. Let r(n) = -n**3 - 2*n**2 + m*n**3 + 0*n**2 - n + n**2. Let j(g) = -15*r(g) - z(g). Factor j(p).
3*p*(p - 1)*(p + 3)
Suppose -4*y + 6 = x, y - 21 - 3 = -4*x. Suppose 0 = -0*p + x*p + 5*p. Suppose 0*c**3 + 2/7*c**4 + p*c + 0 - 2/7*c**2 = 0. Calculate c.
-1, 0, 1
Let z(p) = -p**3 - 6*p**2 + 17*p - 2. Let f be z(2). Let f + 2/7*r**3 + 4/7*r**2 + 2/7*r = 0. What is r?
-1, 0
Let b be 7/(-10)*(-13)/182. Let c(m) be the second derivative of b*m**4 - 1/50*m**6 + 3/100*m**5 - 1/10*m**3 - 3*m + 0*m**2 + 0. Suppose c(z) = 0. What is z?
-1, 0, 1
Let r(m) be the first derivative of 5*m**6/6 - 6*m**5 + 35*m**4/2 - 80*m**3/3 + 45*m**2/2 - 10*m + 30. Factor r(k).
5*(k - 2)*(k - 1)**4
Le