0 + 25*h**4/8 + 1875*h**3/4 - 3*h**2 + 21*h. Let i(f) = 0. Calculate f.
-75
Let b be ((-18)/8 - -3)*(-3)/(-3). Factor 0 + b*j**4 - 3/4*j + 3/4*j**3 - 3/4*j**2.
3*j*(j - 1)*(j + 1)**2/4
Suppose -5*h = -4*h + 2. Let o be 7 - (7 + -5 - h). Factor 1/5*q**o + 2/5*q**2 + 0 - 3/5*q.
q*(q - 1)*(q + 3)/5
Let y(j) = 3*j**2 - 9*j + 8. Let r be y(3). Suppose 2*i = -2*i + r. Factor 2/9*k**i + 0 + 4/9*k.
2*k*(k + 2)/9
Let f(b) be the second derivative of -b**6/15 - 4*b**5/5 - 7*b**4/2 - 22*b**3/3 - 8*b**2 + b + 13. Solve f(x) = 0 for x.
-4, -2, -1
Suppose -12 = -3*x - h, -2*h + 112 = 4*x + 96. Find u such that -50/3*u**x + 190/3*u**2 - 20/3*u**3 - 32/3 - 8/3*u**5 - 80/3*u = 0.
-4, -1/4, 1
Let z(f) be the third derivative of 3*f**8/560 + f**7/175 - f**6/200 - 60*f**2. Determine y so that z(y) = 0.
-1, 0, 1/3
Let i(z) = 26*z + 156. Let j be i(-6). Let j + 4/7*n + 10/7*n**2 + 8/7*n**4 - 22/7*n**3 = 0. Calculate n.
-1/4, 0, 1, 2
Find v, given that 20/19 - 2/19*v**2 + 18/19*v = 0.
-1, 10
Let d(z) = 5*z**5 - 13*z**4 - 23*z**3 + 13*z**2 + 6. Let h(q) = q**5 - q**4 - 2*q**3 + q**2 - 2*q + 1. Let o(s) = -d(s) + 6*h(s). Determine p so that o(p) = 0.
-4, -3, -1, 0, 1
Let y(a) be the second derivative of -2/33*a**3 + 1/66*a**4 - 12*a + 1/11*a**2 + 0. Factor y(t).
2*(t - 1)**2/11
Let d(z) be the third derivative of -z**5/20 - 116*z**2. Determine o, given that d(o) = 0.
0
Let y(s) = 7*s + 4*s - 8 - 4 - 10*s. Let x be y(14). Let -4/5*c + 6/5*c**x - 2/5*c**3 + 0 = 0. Calculate c.
0, 1, 2
Suppose 4 = 5*l - 11. Suppose -2*m + m - l = 0, -3*t - 4*m = -9. Factor 3*d**3 - t*d**2 + 0*d - 2*d**2 + 6*d.
3*d*(d - 2)*(d - 1)
Let h be 2 + 47/(-7) - (-20)/(-70). Let a be h/(-3) - 4/(-12). What is g in -2/3*g**4 - 10/3*g**a + 0 + 8/3*g**3 + 4/3*g = 0?
0, 1, 2
Let p(q) be the third derivative of q**6/30 + 4*q**5/15 - 2*q**4/3 - 32*q**3/3 + 3*q**2 + 53. What is h in p(h) = 0?
-4, -2, 2
Let -2*n**2 + 0 + 0*n + 2/5*n**4 + 8/5*n**3 = 0. What is n?
-5, 0, 1
Factor -784 - 113/4*k**2 - 812*k - 1/4*k**3.
-(k + 1)*(k + 56)**2/4
Suppose -2*z = -5*z + 9. Suppose 0 = -z*c + 2*m - 8, -5*c - 5*m + 2 = -18. Find s, given that c + 14/11*s**2 - 4/11*s = 0.
0, 2/7
Let k(n) be the second derivative of n**6/90 - n**5/30 - 7*n**4/36 - 2*n**3/9 - 128*n. Factor k(a).
a*(a - 4)*(a + 1)**2/3
Let m(l) be the first derivative of -2*l**3/15 - 2*l**2/5 - 139. Determine d so that m(d) = 0.
-2, 0
Let u be 5/10 - (-25)/(-54). Let y(z) be the second derivative of -3*z + 0 - u*z**6 - 2/27*z**4 + 0*z**3 + 0*z**2 + 2/15*z**5. Factor y(s).
-2*s**2*(s - 2)*(5*s - 2)/9
Let a be -6*(-1)/(-2)*-13. Let 16*d + d - a*d + 16 - 2*d + d**4 + 6*d**3 + d**2 = 0. What is d?
-4, 1
Let c(v) = 8*v - 8. Let l(s) = 8 + 12*s**2 - 7*s**2 - 5*s**2 + s**3 - 9*s. Let w(y) = -3*c(y) - 4*l(y). Factor w(g).
-4*(g - 1)**2*(g + 2)
Let j(u) = u**2 + 6*u - 10. Let c(p) = 3*p - 2. Let a be c(-2). Let r be j(a). Determine f, given that 0*f**5 + 10*f**5 + r*f**5 - 20*f**4 + 4*f**3 = 0.
0, 1/4, 1
Let h(s) = 4*s**3 + 4*s**2 - 2*s + 5. Let u(w) = -w**3 - w**2 - 2. Let q(f) = 2*h(f) + 7*u(f). Let q(m) = 0. What is m?
-2, -1, 2
Let a(h) = 5*h - 34*h**2 - 3*h + 14*h**2. Let k(z) be the third derivative of 7*z**5/60 - z**4/24 + z**2. Let x(l) = 4*a(l) + 11*k(l). Factor x(u).
-3*u*(u + 1)
Let z = -467 - -472. Let s(n) be the second derivative of -1/6*n**4 - 2/15*n**z + 0 - 1/6*n**2 + 7/90*n**6 - 5*n + 4/9*n**3. Suppose s(x) = 0. What is x?
-1, 1/7, 1
Let w be (-20)/(-180) + (-26)/(-90). Let 2/5*b**4 - w*b + 6/5*b**2 + 0 - 6/5*b**3 = 0. What is b?
0, 1
Let f = 208 + -208. Let u(b) be the second derivative of 0*b**2 + f*b**3 + 3*b + 0 + 1/60*b**5 + 1/18*b**4. Factor u(r).
r**2*(r + 2)/3
Let p(t) be the first derivative of 5*t - 5*t**2 + 5/3*t**6 - 10/3*t**3 + 23 - 7*t**5 + 10*t**4. Solve p(b) = 0.
-1/2, 1
Let w = 523/20 - 101/4. Let v(n) be the first derivative of 3/20*n**4 - w*n**2 - 4 + 0*n**3 + 6/5*n. Solve v(d) = 0.
-2, 1
Let i(l) be the first derivative of -l**4 - 4*l**3/3 + 20*l**2 - 32*l - 141. Factor i(m).
-4*(m - 2)*(m - 1)*(m + 4)
Let n(q) = -440*q**3 - 390*q**2 - 81*q + 22. Let p(c) = 220*c**3 + 195*c**2 + 41*c - 12. Let m(d) = -6*n(d) - 11*p(d). Factor m(a).
5*a*(4*a + 1)*(11*a + 7)
Let -33 + i**2 - 38*i + 207 + 187 = 0. Calculate i.
19
Let h(b) be the first derivative of -2*b**3/3 - 7*b**2 + 36*b + 65. Factor h(q).
-2*(q - 2)*(q + 9)
Let g(c) be the third derivative of c**6/120 + 3*c**5/40 + 5*c**3/2 - 4*c**2. Let k(f) be the first derivative of g(f). Find j such that k(j) = 0.
-3, 0
Factor -h**4 + 14*h**3 - 11 + 75 + 16*h - 31*h**3 - 63*h**2 + h**3.
-(h - 1)*(h + 1)*(h + 8)**2
Let u(f) be the second derivative of -9*f**5/4 - 25*f**4/2 - 70*f**3/3 - 20*f**2 - 2*f + 38. Find m, given that u(m) = 0.
-2, -2/3
Let z(t) be the first derivative of -t**3 - 30*t**2 - 80. Factor z(d).
-3*d*(d + 20)
Let g(p) be the third derivative of -p**8/72 + 4*p**7/315 + 7*p**6/180 - 2*p**5/45 - p**2 + 8*p. Let g(t) = 0. Calculate t.
-1, 0, 4/7, 1
Let x = 2/91159 + 364630/273477. Find w, given that 0*w - x*w**5 + 4*w**2 + 0 + 4/3*w**3 - 4*w**4 = 0.
-3, -1, 0, 1
Let d(s) be the third derivative of -s**5/15 - 7*s**4/2 + 200*s**3/3 - 10*s**2 + 2*s. Factor d(b).
-4*(b - 4)*(b + 25)
Let q(v) = -v. Let b(i) = -2*i**2 + i + 4. Suppose 2*h + 4*a = 6*h - 4, 0 = -4*h + a - 2. Let r(n) = h*q(n) + b(n). Solve r(d) = 0 for d.
-1, 2
Let s(v) be the first derivative of -v**6/36 + v**4/12 - v**2/12 + 50. Factor s(c).
-c*(c - 1)**2*(c + 1)**2/6
Let z = -856/33 + 26. Let p(f) be the first derivative of 3 - 2/11*f**2 + z*f**3 + 0*f. Suppose p(m) = 0. Calculate m.
0, 2
Let o(r) = 72*r**2 + 52*r - 4. Let p(g) = -144*g**2 - 104*g + 5. Let t(m) = 7*o(m) + 4*p(m). Factor t(b).
-4*(2*b + 1)*(9*b + 2)
Let m(u) be the second derivative of -u**6/90 - 2*u**5/45 + u**4/18 + 4*u**3/9 - 10*u**2 + 16*u. Let i(o) be the first derivative of m(o). Factor i(t).
-4*(t - 1)*(t + 1)*(t + 2)/3
Let q(n) be the first derivative of -3/4*n**4 - 1/20*n**5 - 9/2*n**3 - 4 - 3*n**2 + 0*n. Let t(u) be the second derivative of q(u). Factor t(b).
-3*(b + 3)**2
Find d such that -238 + 24*d - 3*d**2 - 188 + 63 + 42*d = 0.
11
Factor -22 + 38 + 3*u**2 - 4*u**3 - 6*u**2 + 16*u - u**2.
-4*(u - 2)*(u + 1)*(u + 2)
Suppose 14 = t + 3*g, g - 24 = -4*t - 3*g. Factor -h**2 - 24 - 3*h**2 + 3*h**2 - 3*h**t + 28*h.
-4*(h - 6)*(h - 1)
Let d = 826/51 + -264/17. Suppose -3*q = -0*q. Find x such that q - d*x + 1/3*x**2 = 0.
0, 2
Let y(m) be the third derivative of -m**6/108 + 7*m**5/180 - m**4/18 - 11*m**3/3 - 20*m**2. Let c(a) be the first derivative of y(a). What is r in c(r) = 0?
2/5, 1
Suppose -5*w + 17 = n, 2*n - 2 = -3*w + 4. Suppose 3*a - a**w - 3*a**3 + 21*a**4 + 2*a**2 - 23*a**4 + a**2 = 0. What is a?
-1, 0, 1
Let m = -17 + 31. Let k = -27/2 + m. Solve 0*r - 1/2*r**2 + k = 0 for r.
-1, 1
Let f be (113/791)/(5/28). Factor 2/5*w**5 + f*w**2 - 6/5*w**3 + 0*w + 0*w**4 + 0.
2*w**2*(w - 1)**2*(w + 2)/5
Let d be ((-6)/12)/((-1)/4). Let u(i) be the third derivative of 0 + 7/60*i**5 + 1/6*i**4 + 6*i**d + 0*i + 2/21*i**3. Let u(c) = 0. What is c?
-2/7
Find y, given that 2/9*y**2 + 8/9*y - 10/9 = 0.
-5, 1
What is j in 87*j**4 + 53*j**4 - 119*j**4 + 3*j**5 = 0?
-7, 0
Let r(p) be the third derivative of 0*p**4 + 0 + 0*p - 1/210*p**5 + 1/21*p**3 - 6*p**2. Find g, given that r(g) = 0.
-1, 1
Let x be 0 + 15/(-3) - -11. Let v(q) be the second derivative of 9/7*q**2 - x*q - 2/7*q**3 + 1/42*q**4 + 0. Determine h, given that v(h) = 0.
3
Let k = 13716 + -96008/7. Suppose 0 - k*q**2 - 8/7*q = 0. What is q?
-2, 0
Factor 4*r**2 + 15*r + 189 + r**2 - 113 - 166.
5*(r - 3)*(r + 6)
Suppose -4*s - l - 3 = 0, -2*s + s = 3*l - 13. Let o(v) = v**2 - v - 1. Let z be o(s). Factor -2/13*q + 2/13*q**z + 4/13*q**2 - 4/13*q**4 + 0 + 0*q**3.
2*q*(q - 1)**3*(q + 1)/13
Let f(j) = j**2 + j - 1. Let k be ((-4)/(-10))/(-2*7/(-35)). Let s(y) = -y**3 + 5*y**2 - 2. Let n(q) = k*s(q) - 2*f(q). Determine v so that n(v) = 0.
0, 1, 2
Suppose -3*h = -5*r + 9, 7 = h + 4*h - r. Suppose j + j = h*m + 6, -2*j + 4 = -4*m. What is q in -3*q**j - q**4 + 2*q**3 + 6*q**3 + 0*q**3 = 0?
0, 2
Solve -4/7*o + 1/7*o**3 - 3/7*o**2 + 0 = 0.
-1, 0, 4
Factor -2/7*m**4 - 280*m - 78/7*m**3 - 132*m**2 + 2352.
-2*(m - 3)*(m + 14)**3/7
Let s be (-3 - -2)/(-11) - (-13370)/1155. Suppose 35/3*t**5 + 4/3 - 43