-50. Suppose -64 - p*g**2 - 17*g - 25*g - g**3 - 6*g = 0. Calculate g.
-4
Let r(w) = 9 - w**3 + 0*w**3 - 16*w**2 + 12*w + 2*w - 58. Let f be r(-17). Factor 0*d - 9/7*d**f + 3/7*d**3 + 12/7.
3*(d - 2)**2*(d + 1)/7
Suppose -18*w**3 + 4*w**4 - 18*w**3 - 2*w + 2*w = 0. What is w?
0, 9
Let l be 6/27 + 86/18. Suppose -l*n + 3*b + 1 = -0*n, 3*n - 12 = -2*b. Solve -t + 7*t**n + 48 - 4*t**2 + 25*t = 0 for t.
-4
Suppose -1238 + 30 = -154*z - 148*z. Factor 7/3*r**2 - 4/3*r + 0 - 1/3*r**z - 2/3*r**3.
-r*(r - 1)**2*(r + 4)/3
Let b(w) = -w + 6. Let n = 23 + -19. Let f be b(n). Let -45 + 19*d + 5*d - 3 - 3*d**f = 0. Calculate d.
4
Factor 288*x + 34 + 33 - 67 + 15*x**2 - 13*x**2.
2*x*(x + 144)
Let n = 3/173 - -3961/1038. Let h = 5/6 + n. Factor h*d + 2*d**2 - 4.
2*(d + 3)*(3*d - 2)/3
Suppose k + v = -2 + 5, -2*k + 5 = 3*v. Let r(a) = -2*a**3 + 2*a**2 + 3*a + 1. Let s be r(-1). Let -s + 8 + m - m**2 - k = 0. What is m?
-1, 2
Let p be ((-885)/(-3186))/((-5)/(-4)). Factor -2/3 - p*n**2 - 8/9*n.
-2*(n + 1)*(n + 3)/9
Suppose -13*s + 2*t + 18 = -8*s, 0 = -5*s - 3*t + 23. Let x be s/6*(6 + -3). Factor 0*a + 2*a**x - 3/2*a**4 + 1/2*a**5 + 0 + 0*a**3.
a**2*(a - 2)**2*(a + 1)/2
Let i(y) be the third derivative of y**7/105 - y**6/12 + 59*y**2. Factor i(f).
2*f**3*(f - 5)
Let y(m) = -m**2 - 1. Let v(n) = 4*n**2 - 4*n + 4. Let c(o) = 4*o - 11. Let j be c(5). Let l = -3 + j. Let k(r) = l*y(r) + v(r). Factor k(g).
-2*(g + 1)**2
Let g(d) = d**3 + 22*d**2 + 130*d + 119. Let i be g(-9). Factor 0 + 4/11*z**4 + 0*z + 0*z**i - 2/11*z**5 - 2/11*z**3.
-2*z**3*(z - 1)**2/11
Let q(y) = -7*y**3 + 3*y**2 + 12*y - 5. Let w(z) = -20*z**3 + 8*z**2 + 36*z - 14. Let b be (-10 - -20)*(-1)/(-2). Let j(f) = b*w(f) - 14*q(f). Factor j(h).
-2*h*(h - 2)*(h + 3)
Let a be (-2)/27 + -66 + 55 + 688/54. Find h such that a*h**3 - 5/3*h + 10 - 10*h**2 = 0.
-1, 1, 6
Suppose 2*u + i - 14 = 0, -4*u + 2*i - 7*i = -28. Suppose 10*q**4 + 28*q**2 + 59*q - 69*q - 35*q**3 + u*q**2 = 0. Calculate q.
0, 1/2, 1, 2
Let y(h) = 27*h + 167. Let f be y(-6). Let s(w) be the first derivative of -1/2*w**2 + f - 1/12*w**3 - w. Determine t, given that s(t) = 0.
-2
Let m = -901 - -901. Factor 0 - 2/3*a**3 + 2/3*a**2 + m*a.
-2*a**2*(a - 1)/3
Let z(d) = 19*d**3 + 194*d**2 - 1528*d - 9680. Let h(o) = -80*o**3 - 775*o**2 + 6110*o + 38720. Let u(n) = -6*h(n) - 25*z(n). Factor u(f).
5*(f - 22)**2*(f + 4)
Find h, given that -4*h + 5*h + 7685*h**2 - 7686*h**2 - 5*h = 0.
-4, 0
Let x be 2/(-4)*2 - (-4 - 1). Determine s so that 6*s**2 + 12*s**x - 24 - 4*s**2 + 10*s**2 + 99*s - 99*s**3 = 0.
-1, 1/4, 1, 8
Factor 23/3*z**2 + 1/3*z**3 + 132 + 56*z.
(z + 6)**2*(z + 11)/3
Let d be 1/(-2 - 1242/(-575)). What is y in -65/4*y - 35*y**2 - d*y**3 + 25/2 = 0?
-5, -1, 2/5
Find z, given that 3 - 59*z + 113*z - 63*z - 2*z**2 + 11*z**2 - 3*z**3 = 0.
1
Let b(o) be the first derivative of o**3/3 - 237*o**2/8 + 59*o/4 - 817. Factor b(g).
(g - 59)*(4*g - 1)/4
Let h(t) = -3*t**2 + 3*t - 8. Let j be h(2). Let b = 17 + j. Suppose 0 + 0*y**b - 1/3*y**4 - 2/3*y + y**2 = 0. What is y?
-2, 0, 1
Let q = 20 - 13. Let b be (-2)/q + (-144)/(-14). Factor 4*p - b*p**2 - 11*p**2 + 5*p**2 + 20*p**3 - 8*p**4.
-4*p*(p - 1)**2*(2*p - 1)
Let v(t) be the second derivative of 2/147*t**7 - 8/105*t**6 + 12*t + 1/7*t**5 + 0 - 2/21*t**4 + 0*t**3 + 0*t**2. Find o such that v(o) = 0.
0, 1, 2
Let y(p) be the first derivative of p**4/3 - 20*p**3/3 + 50*p**2 - 20*p - 5. Let v(g) be the first derivative of y(g). Let v(s) = 0. Calculate s.
5
Suppose -3*a = -4*i + 2, -5*a + 3*i = -2*a. Let b(m) be the third derivative of 0 - 1/20*m**5 - m**a + 0*m - 1/2*m**3 + 1/4*m**4. Factor b(y).
-3*(y - 1)**2
Let r(p) be the third derivative of 0*p - 25/6*p**3 - 3/20*p**5 + 0 + 5/4*p**4 - 18*p**2. Factor r(c).
-(3*c - 5)**2
Let a(r) be the first derivative of 3/32*r**4 + 9 - 1/8*r**3 + 0*r - 3/16*r**2 + 3/40*r**5. Let a(u) = 0. Calculate u.
-1, 0, 1
Solve -5/3 + 2*b - 1/3*b**2 = 0 for b.
1, 5
Let h be (-1)/((-42)/(-12)) + (-320)/(-532). Find t such that -h*t**3 + 4/19 - 2/19*t**2 + 6/19*t - 2/19*t**4 = 0.
-2, -1, 1
Let n(v) be the second derivative of -11*v**6/20 + 81*v**5/10 + 5*v**4/2 + 347*v. Find t, given that n(t) = 0.
-2/11, 0, 10
Let y(z) be the first derivative of -z**6/120 + z**5/5 - 31*z**3/3 + 20. Let g(m) be the third derivative of y(m). Determine v, given that g(v) = 0.
0, 8
Let m(p) be the first derivative of -4*p**3 - 4*p**2 + 2/3*p**6 + 0*p + 12/5*p**5 + p**4 - 7. Factor m(r).
4*r*(r - 1)*(r + 1)**2*(r + 2)
Let z(a) be the first derivative of 1/40*a**5 + 0*a**2 + 1/4*a**4 - 17 + 0*a**3 + 0*a. Suppose z(w) = 0. Calculate w.
-8, 0
Let a(c) be the second derivative of -c**6/96 - c**5/80 + c**4/8 - c**3/6 - 5*c**2 + 32*c. Let i(l) be the first derivative of a(l). Find x such that i(x) = 0.
-2, 2/5, 1
Suppose -38 = -3*s + 2*d, -4*s + 51 = 2*d - 9. Determine v so that 9*v**5 - 3*v + 3 - s*v**5 - 6*v**2 + 3*v**4 + 2*v**5 + 6*v**3 = 0.
-1, 1
Let v(f) be the second derivative of f**6/330 + 17*f**5/110 + f**4/4 + 84*f + 2. Factor v(c).
c**2*(c + 1)*(c + 33)/11
Let p(i) = -i**2 - 10*i + 555. Let q be p(-29). Determine c, given that -2/3 - 8/9*c + 2/9*c**q + 4/9*c**2 + 8/9*c**3 = 0.
-3, -1, 1
Let r(a) be the third derivative of -a**5/80 + a**4/2 - 18*a**2 + 1. Factor r(f).
-3*f*(f - 16)/4
Factor -4/3*m**2 - 8/3 - 4*m.
-4*(m + 1)*(m + 2)/3
Let l(o) be the third derivative of -2*o**7/735 - o**6/60 - o**5/70 + 2*o**4/21 + 4*o**3/21 - 3*o**2 - 12*o. Let l(d) = 0. Calculate d.
-2, -1/2, 1
Let p be 1154/230 + (-1026)/58995. Suppose -4/5*x**4 + x - 4/5*x**3 + 2/5*x**2 + 2/5 - 1/5*x**p = 0. Calculate x.
-2, -1, 1
Suppose 5*b + 28 = a - 0*a, a = -3*b - 12. Find r, given that r**2 - a*r - r**5 + 6*r**4 + 6*r - 2*r**5 - 7*r**2 = 0.
-1, 0, 1
Suppose -693*q - 60 = -708*q. Find l, given that -q*l**3 + 4*l**5 + 4/3*l**4 - 4/3*l**2 + 0 + 0*l = 0.
-1, -1/3, 0, 1
Let l(y) be the first derivative of 4*y**5/5 - 2*y**4 - 4*y**3/3 + 4*y**2 + 135. Factor l(w).
4*w*(w - 2)*(w - 1)*(w + 1)
Let z be 22/4*12/33. Factor 1/2*n**z + 4*n + 8.
(n + 4)**2/2
Suppose -5*w - w + 24 = 0. Suppose 18*g**2 + 7*g**3 - 24*g - 6*g**4 - 9*g**3 + w*g**2 + 8 + 2*g**5 = 0. Calculate g.
-2, 1, 2
Let r = 12218/15285 + 2/3057. Suppose 14/5*x + 8/5 + r*x**2 - 2/5*x**3 = 0. Calculate x.
-1, 4
Let l(w) be the second derivative of -w**7/23940 + w**6/1710 - w**5/285 + 4*w**4/3 + 2*w. Let t(f) be the third derivative of l(f). Factor t(c).
-2*(c - 2)**2/19
Let v(s) be the second derivative of s**8/10080 + s**7/945 + s**6/360 + 11*s**4/6 + 33*s. Let p(b) be the third derivative of v(b). Factor p(t).
2*t*(t + 1)*(t + 3)/3
Let l(c) = -c**4 - c**3. Let w(a) = -20*a**4 - 10*a**3 + 15*a**2 - 25*a + 10. Suppose 90 = 5*b + b. Let g(v) = b*l(v) - w(v). Let g(n) = 0. Calculate n.
-2, 1
Let y = -14056 - -14061. Factor -2/3 - 2/3*c - 2/3*c**y - 2/3*c**4 + 4/3*c**2 + 4/3*c**3.
-2*(c - 1)**2*(c + 1)**3/3
Suppose 202 - 43 = 53*g. Let a(p) be the third derivative of 0*p**g + 0 + 0*p + 0*p**4 + 6*p**2 + 1/12*p**5 + 1/12*p**6 + 1/42*p**7. Solve a(t) = 0.
-1, 0
Let q(f) = 9*f**3 + 305*f**2 + 586*f + 284. Let s(p) = -19*p**3 - 611*p**2 - 1170*p - 568. Let k(x) = 5*q(x) + 3*s(x). Factor k(n).
-4*(n + 1)**2*(3*n + 71)
Let i = 3551 + -17752/5. Let w(q) = -q**2 - 6*q + 4. Let g be w(-6). What is v in 6/5*v**2 - 3/5*v**5 - 6/5*v**3 - 9/5*v**g + i + 9/5*v = 0?
-1, 1
Factor 8/7*b**2 - 24 + 68/7*b.
4*(b - 2)*(2*b + 21)/7
Let y = 672 + -22175/33. Let f(x) be the third derivative of -y*x**3 + 0*x**4 + 12*x**2 + 0 + 1/330*x**5 + 0*x. Factor f(z).
2*(z - 1)*(z + 1)/11
Let p(i) be the first derivative of -4*i**5/15 - 47*i**4/12 - 44*i**3/3 + 6*i**2 + 175. Factor p(q).
-q*(q + 6)**2*(4*q - 1)/3
Suppose -29/5*l**2 - 196/5 + 1/5*l**3 + 224/5*l = 0. Calculate l.
1, 14
Suppose j - 3*j = 5*f, -13 = 4*f - j. Let h be f/(1/(-1)*1). Find r such that 8*r**2 - h*r - 23*r**3 - 22*r**3 + 39*r**3 = 0.
0, 1/3, 1
Let d(s) be the first derivative of s**5/15 - 5*s**4/18 + 4*s**3/9 - 3*s**2/2 - 22. Let a(i) be the second derivative of d(i). Find q such that a(q) = 0.
2/3, 1
Let -7*b**2 - 3*b**2 - 7*b**2 - 28 + 15*b**2 + 18*b = 0. Calculate b.
2, 7
Let z = 19413/10 - 3721/2. Let p = -79 + z. Suppose 3/5 + p*y**2 - 9/5*y - 3/5*y**3 = 0. What is y?
1
Suppose 126 - 120 = 3*l. Let w be (l/6)/(-1 - (-11)/