actor x(v).
(v - 2)**2*(v + 2)/8
Let v be 1/(3/3)*2. Let d be (-22)/(-11) + (-11)/12*v. Let 2/3*w + 0 + 2/3*w**2 + d*w**3 = 0. Calculate w.
-2, 0
Suppose -15*r = -12*r - 9. Factor -4*j**r - 1366*j - 4*j**4 + 1366*j.
-4*j**3*(j + 1)
Let l = 135 - 126. Let v be (l/10)/(21/14). Determine i so that -1/5*i**2 - 2/5 + v*i = 0.
1, 2
Factor 0 + 1/2*a**2 - 1/2*a**4 + 1/4*a**5 + 0*a - 1/4*a**3.
a**2*(a - 2)*(a - 1)*(a + 1)/4
Let z(c) = 45*c**2 - 7*c - 2. Let l be z(-1). Let d = 52 - l. Factor 0*m - 3/7 + 3/7*m**d.
3*(m - 1)*(m + 1)/7
Suppose v - 10 = -8. Factor -15*h**2 - 5*h**3 - v*h**3 - 4 + 2*h**4 + 3*h - 16*h - 3*h**4.
-(h + 1)**3*(h + 4)
Let g(c) = -3*c + 47. Let o be g(11). Let f be 68/o - (7 + (0 - 3)). Suppose 12/7*b**3 + f*b + 0 - 27/7*b**2 = 0. Calculate b.
0, 1/4, 2
Let u be 6/(-10)*1408/(-264). Factor -4*m + 4/5*m**5 + 8/5 - u*m**4 + 8/5*m**2 + 16/5*m**3.
4*(m - 2)*(m - 1)**3*(m + 1)/5
Let x(o) be the second derivative of o**7/1050 - o**5/150 - 13*o**3/6 + 14*o. Let y(q) be the second derivative of x(q). Determine j so that y(j) = 0.
-1, 0, 1
Suppose -2*h + 425 = 15*h. Suppose 0 = g + 4*g - 50. Suppose -14*s**2 + 5*s**4 + 15*s - 6*s**2 + h*s - g*s**3 = 0. What is s?
-2, 0, 2
Let g be 16/4 - ((7 - 4) + -4). Suppose g*l = -l - l. Factor -2/9*r**4 - 4/9*r**3 + l*r + 0 + 2/3*r**2.
-2*r**2*(r - 1)*(r + 3)/9
Let h(u) be the first derivative of u**6/14 - 6*u**5/35 - 3*u**4/14 + 8*u**3/7 - 3*u**2/2 + 6*u/7 - 237. Find b such that h(b) = 0.
-2, 1
Let b(u) be the second derivative of -3 + 4*u + 37/3*u**3 - 13/6*u**4 + 6*u**2. Determine z, given that b(z) = 0.
-2/13, 3
Let u be (-1)/(-2)*(-10)/(-5). Let r be -1 - u - -3 - -2. Factor -15*v + 41*v**2 + r - 14*v**2 - 3*v.
3*(3*v - 1)**2
Let b(f) be the third derivative of -f**4 + 0 + 0*f - 1/60*f**6 - 1/5*f**5 + 37*f**2 - 8/3*f**3. Factor b(m).
-2*(m + 2)**3
Let m be 24/(-10) - (-12183)/620. Factor 15/2*d + 6 + 15/4*d**3 - m*d**2.
3*(d - 4)*(d - 1)*(5*d + 2)/4
Let m(y) be the third derivative of 49*y**7/45 + 49*y**6/4 + 301*y**5/30 + 127*y**4/36 + 2*y**3/3 + 173*y**2. Let m(q) = 0. What is q?
-6, -1/7
Let l(m) be the first derivative of -6/13*m**3 - 2/13*m + 6/13*m**2 - 24. Factor l(j).
-2*(3*j - 1)**2/13
Let b be 71/30 + (-4 - (-806)/195). Determine f, given that 3/4*f + b - 1/4*f**2 = 0.
-2, 5
Let c(f) = 2*f**3 + 11*f**2 + 7*f - 2. Let j be c(-4). Let 33*x**2 + 1391*x - 1373*x + j*x**3 + x**4 + 2*x**4 = 0. Calculate x.
-3, -2, -1, 0
Let b(f) = f**3 + 10*f**2 + 5*f - 20. Let i(k) = -k**3 - 19*k**2 - 11*k + 41. Let z(x) = -5*b(x) - 2*i(x). Factor z(h).
-3*(h - 1)*(h + 2)*(h + 3)
Let -53*x**4 - 230*x**2 + 10*x**3 + 18*x**4 + 230*x**2 - 45*x**5 = 0. Calculate x.
-1, 0, 2/9
Let h(s) = -8*s**3 - 20*s**2 + 8*s. Let i(j) = -j**3. Let q be (-1)/((-1)/(1/(-1))). Let t(u) = q*h(u) - 4*i(u). Factor t(y).
4*y*(y + 2)*(3*y - 1)
Let n = 35 + -35. Let g be (-10)/(-10) + 2 + n. Factor 10*s**3 + 0*s**2 + g*s**2 + 13*s**2 - 8*s.
2*s*(s + 2)*(5*s - 2)
Let g(q) be the second derivative of q**7/3780 - q**5/20 - q**4/12 + 24*q. Let m(l) be the third derivative of g(l). Suppose m(a) = 0. Calculate a.
-3, 3
Let y(p) be the third derivative of -11*p**5/80 - 23*p**4/32 - p**3/4 + 427*p**2. What is o in y(o) = 0?
-2, -1/11
Let k(i) be the first derivative of -i**6/630 - 3*i**5/70 + 11*i**3 - 45. Let u(f) be the third derivative of k(f). Let u(n) = 0. What is n?
-9, 0
Let b(k) be the first derivative of 2*k**6 + 28*k**5/5 - 3*k**4 - 44*k**3/3 + 16*k - 197. Find z, given that b(z) = 0.
-2, -1, 2/3, 1
Let j = -5632/7 + 805. Factor -j*o + 0 - 1/7*o**2.
-o*(o + 3)/7
Let p(g) be the second derivative of -3*g**5/70 - g**4/2 - 8*g**3/7 + 48*g**2/7 + 110*g. Factor p(c).
-6*(c - 1)*(c + 4)**2/7
Let v(g) be the second derivative of g**6/120 - g**5/10 + g**4/4 + 28*g. Factor v(r).
r**2*(r - 6)*(r - 2)/4
Find k such that -3/4*k**3 + 0 - 9/4*k**4 + 9/4*k**2 + 3/4*k**5 + 0*k = 0.
-1, 0, 1, 3
Let x(q) = -13*q + 39. Suppose 0*f = v + 2*f + 7, 2*f + 16 = 2*v. Let i be x(v). Factor 1/8*l**3 + 1/2 - 3/8*l**2 + i*l.
(l - 2)**2*(l + 1)/8
Let l(q) be the third derivative of 1/80*q**6 + 0*q**3 + 0*q + 1/60*q**5 - 1/84*q**7 + 0*q**4 + 5*q**2 + 0. Factor l(b).
-b**2*(b - 1)*(5*b + 2)/2
Let g(z) be the first derivative of -10*z**3/3 + 17*z**2 - 12*z + 19. Factor g(y).
-2*(y - 3)*(5*y - 2)
Let s(r) = -2*r**2 + r - 1. Let m(b) = 13*b**2 + 21*b + 4. Let u(f) = -m(f) - 4*s(f). Factor u(t).
-5*t*(t + 5)
Let -10*l**3 + 38*l**4 - 366*l**2 - 7*l**3 + 322*l**2 - 39*l**4 - 28*l = 0. What is l?
-14, -2, -1, 0
Let n be (-8)/960*-2*2/3. Let v(b) be the second derivative of 0 + 1/30*b**5 + 1/36*b**4 + 0*b**2 - 3*b + 0*b**3 + n*b**6. What is q in v(q) = 0?
-1, 0
Let 55*j**2 + 5/4*j**4 + 0 - 35/2*j**3 - 50*j = 0. What is j?
0, 2, 10
Let l be (-1)/3 + 119/51. Factor -5*w**3 + 5*w**4 - 5*w**l + 10*w**3 + w - 6*w.
5*w*(w - 1)*(w + 1)**2
Let s(g) be the third derivative of 2/21*g**3 + 0 + 1/84*g**5 + 1/14*g**4 + 0*g - 11*g**2. Factor s(y).
(y + 2)*(5*y + 2)/7
Suppose -3*y - 4 = 5*f, 4*y + f = 4 + 2. Let a(l) be the first derivative of -3/7*l + 4 - 1/7*l**3 + 3/7*l**y. Solve a(w) = 0.
1
Let f(s) = -s**3 - s. Let q(b) be the first derivative of -b**4/4 + 8*b**3 + 43*b**2/2 + 32*b + 20. Let r(y) = -5*f(y) + q(y). Determine w so that r(w) = 0.
-2
Let r(s) be the second derivative of -s**4/12 - 7*s**3/6 + 10*s**2 - 2*s. Let h be r(-9). Let -16*n**h - 34/5*n - 32/5*n**3 - 4/5 = 0. What is n?
-2, -1/4
Suppose 21/4*k - 245/4 + 9/4*k**2 - 1/4*k**3 = 0. What is k?
-5, 7
Suppose 0 = -3*b + f + 24 + 182, 3*b = -2*f + 191. Suppose -b*n + 63*n = -12. Factor -2*p + n + 1/3*p**2.
(p - 3)**2/3
Let c be 4/(-45)*(-12)/112. Let a(n) be the second derivative of 0 - 1/42*n**4 + 0*n**2 - 1/70*n**5 + 6*n + 1/21*n**3 + c*n**6. What is y in a(y) = 0?
-1, 0, 1
Suppose 5*l - 10*l = -160. Let q = l + -27. Solve -4*t - 3*t**3 + 6*t**2 + 5*t**3 + 4*t**3 - 4*t**3 - 6*t**4 + 2*t**q = 0 for t.
-1, 0, 1, 2
Determine x, given that -156*x**2 + 35*x**4 - 12*x**5 + 41*x**4 - 43852*x + 43636*x + 308*x**3 = 0.
-3, -2/3, 0, 1, 9
Let w(o) be the third derivative of -7*o**2 + 0*o + 0 - 3/2*o**3 + 3/4*o**4 - 1/12*o**5. Factor w(l).
-(l - 3)*(5*l - 3)
Let l(t) = t**2 - 17*t - 35. Let x be l(19). Let i(h) be the second derivative of 1/2*h**4 + 11*h + 0 - 1/15*h**6 + 1/10*h**5 - 1/3*h**x - 2*h**2. Factor i(n).
-2*(n - 2)*(n - 1)*(n + 1)**2
Suppose 0*j = -3*j + 2*b + 1, -2*j + 14 = 2*b. Suppose -36*o**2 + 47*o**j - 23 - 144*o - 50*o**3 - 107 - 62 = 0. Calculate o.
-4
Let b(y) be the first derivative of 2*y**5/75 + 2*y**4/5 - 28*y**3/45 - 4*y**2/5 + 26*y/15 - 37. Let b(u) = 0. What is u?
-13, -1, 1
Suppose -4*c - 28*d + 23*d + 47 = 0, 4*c + 23 = 5*d. Factor -1/6*h**c - 8/3 - 4/3*h + 7/6*h**2.
-(h - 4)**2*(h + 1)/6
Let v(g) be the second derivative of g**7/126 - g**6/90 - 2*g**5/15 + 2*g**4/9 + 8*g**3/9 - 8*g**2/3 - 705*g. Find b such that v(b) = 0.
-2, 1, 2
Let h(x) be the second derivative of x**6/165 - 2*x**5/55 + x**4/22 + 15*x. Factor h(y).
2*y**2*(y - 3)*(y - 1)/11
Find b such that 16 + 75*b - 63*b - 20*b**2 + b**4 - 12*b**3 + 3*b**4 = 0.
-1, 1, 4
Let q = 1445/77 - 263/11. Let x = -5 - q. Factor 1/7*g**2 - 2/7*g**3 + 0*g + x*g**4 + 0.
g**2*(g - 1)**2/7
Suppose 6*z = -535 - 41. Let i be (z/(-90))/(-1)*-10. Suppose -4/3*a - i*a**3 - 22/3*a**2 + 0 - 14/3*a**4 = 0. Calculate a.
-1, -2/7, 0
Let h(b) = b**2 - 630*b - 1297. Let q(v) = 126*v + 258. Let z(g) = 2*h(g) + 11*q(g). Factor z(n).
2*(n + 2)*(n + 61)
Suppose -9*g + 4*g + 2*s = 0, 5*s = 2*g + 21. Factor -8*k**g - 44*k - 20*k**2 - 4*k**3 - 17 - 3.
-4*(k + 1)**2*(k + 5)
Let d(f) = f**3 - 2*f**2 - 5*f + 8. Let q be d(4). Let v = q + -17. Factor 6 + 8*r - 4*r + 14*r - v*r**2 - 33.
-3*(r - 3)**2
Let c = 11 - 9. Suppose -30*k - 6 - 5*k - 3*k**3 - 18*k**c + 2*k - 12 = 0. What is k?
-3, -2, -1
What is z in 7*z + 882*z**4 - 40*z**2 - 872*z**4 + 10*z**3 - 5*z**5 + 28*z - 10 = 0?
-2, 1
Determine c so that 6*c**4 + 1689*c**3 + 124043*c**2 - 5*c**4 + 4*c**4 - 229520*c - 179*c**3 + 115520 - 11558*c**2 = 0.
-152, 1
Let y be (-99)/(-63) - 6/(-14). Solve 5 + 4*a - 1 + 0*a - 2*a**y - 2*a = 0.
-1, 2
Suppose 474 = 2356*y - 2198*y. Determine x so that 2 + 9/2*x + 1/2*x**3 + y*x**2 = 0.
-4, -1
Let q(j) be the second derivative of -3*j**5/50 + 2*j**4/5 + 41*j**3/5 + 108*j**2/5 + 153*j. Sol