*o**5 + 4*o = 0. Calculate o.
-6, -1, 1
Suppose -17 = 13*z - 472. Let o be ((-28)/z - (-77)/90)*4. Factor 10/9*m**2 - 4/9*m**3 + o - 8/9*m.
-2*(m - 1)**2*(2*m - 1)/9
Let h(r) be the first derivative of r**3/3 - 5*r**2 + 9*r + 634. Solve h(w) = 0.
1, 9
Let x(a) be the first derivative of a**6/2 - 12*a**5/5 + 9*a**4/4 + 4*a**3 - 6*a**2 + 72. Let x(v) = 0. Calculate v.
-1, 0, 1, 2
Factor 2/5 + 6/5*y + 4/5*y**2.
2*(y + 1)*(2*y + 1)/5
Solve -14*c + 2*c**3 + 11*c + 25*c**2 - 17*c - 7*c**3 = 0 for c.
0, 1, 4
Let r(y) = 2*y**3 + 5*y**2 - 2*y - 11. Let m(u) = -u**3 - 5*u**2 + 2*u + 10. Let c(a) = 3*m(a) + 2*r(a). Let c(h) = 0. What is h?
-1, 2, 4
Let r = 73 - 63. Suppose -6*w + w - 10 - r*w - 5*w**2 = 0. Calculate w.
-2, -1
Factor 45/4*g**2 + 132*g + 121 + 1/4*g**3.
(g + 1)*(g + 22)**2/4
Let c(h) = 3*h**4 + 35*h**2 + 54*h + 24. Let m(j) = -51*j**4 - 561*j**2 - 864*j - 384. Let s(y) = -33*c(y) - 2*m(y). Factor s(i).
3*(i - 4)*(i + 1)**2*(i + 2)
Let z(i) = -i - 1. Let w be z(-5). Let m be 6/60*15 + (-3)/2. Factor 0*g**3 + 0 + 1/3*g**w + m*g - 1/3*g**2.
g**2*(g - 1)*(g + 1)/3
Let p(w) = 50*w**3 + 510*w**2 - 3180*w + 2620. Let z(f) = 3*f**3 + 30*f**2 - 187*f + 154. Let m(c) = 2*p(c) - 35*z(c). Factor m(j).
-5*(j - 3)*(j - 1)*(j + 10)
Let p be (2 - (-4 + 8)) + (-510)/(-7). Let t = 71 - p. Factor -1/7*o**3 - t*o**2 + 2/7*o + 0.
-o*(o - 1)*(o + 2)/7
Let i = 3248 + -16237/5. Factor -4/5 + 4/5*r - 2/5*r**3 - 1/5*r**4 + i*r**2.
-(r - 1)**2*(r + 2)**2/5
Let d(a) = 2*a**2 - a + 2. Let i(z) = -23*z**2 + 22*z - 40. Let h(t) = 44*d(t) + 4*i(t). Factor h(j).
-4*(j - 9)*(j - 2)
Let t(a) be the third derivative of -11*a**2 - 1/20*a**5 + 0*a + 2/7*a**3 + 0 + 1/7*a**4 - 1/56*a**6. Solve t(x) = 0 for x.
-2, -2/5, 1
Let s(k) be the third derivative of k**6/180 + k**5/54 - 13*k**4/54 + 8*k**3/27 - 2*k**2 - 477. Determine i so that s(i) = 0.
-4, 1/3, 2
Let r be (-10)/(-3) - (7 - 760/114). Let u = -33/2 + 17. Suppose 0*l + u + 1/2*l**4 - l**2 + 0*l**r = 0. Calculate l.
-1, 1
Suppose -4*x = -4*l - 24, -2 = -x + 5*l + 20. Suppose 2*k**x + k**5 + k**4 + 9*k**3 - 3*k**2 - 10*k**3 = 0. What is k?
-1, 0, 1
Let g be (-659)/(-4)*1/((-15)/(-12)). Let t = -131 + g. What is h in 0 + 0*h + 42/5*h**4 + t*h**2 - 26/5*h**3 = 0?
0, 2/7, 1/3
Let p = -174 - -177. Suppose -2*q - 2 = 0, 8*q + 20 = 5*z + 3*q. Let -z*n**3 + 1 + 9*n + p + 2 = 0. What is n?
-1, 2
Let s(l) be the third derivative of -841*l**5/12 + 145*l**4/24 - 5*l**3/24 + 2*l**2 - 213*l. Determine q so that s(q) = 0.
1/58
Let n be -3 - (0 + (6 - -3))/(-1). Let o(w) be the second derivative of 4*w - 1/30*w**n + 1/2*w**3 + 0 + w**2 - 1/12*w**4 - 3/20*w**5. Solve o(g) = 0.
-2, -1, 1
Let l(c) be the third derivative of c**5/60 + c**4/3 + 7*c**3/6 - 4*c**2. Let v be l(-7). Suppose v - a + 393*a**2 - 395*a**2 - a**3 + 0 = 0. Calculate a.
-1, 0
Let b(y) be the third derivative of -2/33*y**3 + 1/462*y**8 + 0 + 1/660*y**6 + 4*y**2 - 5/132*y**4 - 1/105*y**7 + 0*y + 13/330*y**5. Let b(p) = 0. Calculate p.
-1, -1/4, 1, 2
Let g be (-424)/(-88) + 2/11. Factor 2*p**5 - 4*p - 4*p**3 - 2*p**3 - 10*p**2 + g*p**4 - 3*p**4 + 0*p.
2*p*(p - 2)*(p + 1)**3
Let r = 463 - 2251/5. Factor 1/5*j**2 - 16/5*j + r.
(j - 8)**2/5
Let c be ((-8)/(-5))/(12920/850). Factor 2/19*s**3 + c*s**4 + 6/19*s - 10/19*s**2 + 0.
2*s*(s - 1)**2*(s + 3)/19
Let m(w) = -w**2 - 14*w - 38. Let u be m(-9). Let v = u + -7. Factor v + 4/11*a - 2/11*a**2.
-2*a*(a - 2)/11
Let k(r) be the first derivative of -r**6/1260 - r**5/210 - 3*r**3 + 15. Let n(q) be the third derivative of k(q). Determine a so that n(a) = 0.
-2, 0
Let z(g) be the second derivative of 1/12*g**4 + 0 - 2*g**2 - 1/20*g**5 - 16*g + 2/3*g**3. Find o such that z(o) = 0.
-2, 1, 2
Let r be (-516)/(-60) + 8 + -16. Find g, given that -r*g**2 + 9/5 + 6/5*g = 0.
-1, 3
Let g be 208/91 - (-8)/(-28). Determine z so that 3/5*z**4 - 6/5*z + 0 - 12/5*z**3 + 3*z**g = 0.
0, 1, 2
Let a(g) = 2*g + 12. Let b be a(-5). Factor -4*c**b + 10 - 8 + 2.
-4*(c - 1)*(c + 1)
Suppose -11*c + 9 = -2. Let n(m) = 15*m**2 + 70*m - 425. Let r(t) = t**2 - t - 1. Let p(k) = c*n(k) - 20*r(k). Factor p(f).
-5*(f - 9)**2
Suppose -4*a + 5*a = -16*a. Let s(w) be the first derivative of 2/3*w**3 - 1/4*w**2 + 2/5*w**5 - 1/12*w**6 + 3 + a*w - 3/4*w**4. Factor s(d).
-d*(d - 1)**4/2
What is v in -1/10*v**2 - 121/10*v - 12 = 0?
-120, -1
Let a(f) be the second derivative of -f**6/50 - 3*f**5/50 + 7*f**4/5 - 23*f**3/5 + 63*f**2/10 - 2*f + 13. Let a(i) = 0. What is i?
-7, 1, 3
Let v(k) = k**2 - 6*k + 4. Let c be v(5). Let a be 4 + -1 + (-2 - c). Find r, given that 3*r**4 + 2 + 4*r - r - 9*r**2 - 3*r**3 + 2 + a = 0.
-1, 1, 2
Let p be (1 + -3)*2/(-2). Let o(a) = -a**2 + 2*a + 1. Let k(x) = -11*x - 2 + 0*x + 4*x**2 - 2. Let j(v) = p*k(v) + 11*o(v). Solve j(h) = 0 for h.
-1, 1
Let f(p) be the first derivative of p**5/30 - p**4/12 - p**2/2 + 22. Let j(a) be the second derivative of f(a). Factor j(n).
2*n*(n - 1)
Factor 2/11*b**4 + 0*b + 2/11*b**5 - 2/11*b**2 - 2/11*b**3 + 0.
2*b**2*(b - 1)*(b + 1)**2/11
Solve -15/2*y**2 - 25/2 + 20*y = 0.
1, 5/3
Let s(a) be the first derivative of 64*a**6/9 - 176*a**5/15 - 11*a**4/3 + 104*a**3/9 - 2*a**2 + 404. Find r such that s(r) = 0.
-3/4, 0, 1/8, 1
Let n(s) be the second derivative of 5/42*s**4 - 1/70*s**5 + 4/7*s**2 - 8/21*s**3 + 22*s + 0. What is t in n(t) = 0?
1, 2
Let b(w) be the first derivative of -w**4/32 + w**3/6 - 3*w**2/16 + 74. Find u such that b(u) = 0.
0, 1, 3
Let u = -15 - -14. Let w be (72/(-20) + 4)/(u/(-5)). Determine a so that 14/11*a - 4/11*a**w - 14/11*a**3 + 4/11 = 0.
-1, -2/7, 1
Suppose -3*u = -4*g - 6*u + 31, g + 3*u = 19. Solve -2/11*c**3 + 0*c - 2/11*c**g + 0 + 0*c**2 = 0.
-1, 0
Suppose -w - 5 = -3*n, -3*n = 2*n + 5*w - 35. Let q(o) = 2*o - 22. Let l be q(11). Suppose 11*g - 1 + 4*g**3 + g - n + l - 12*g**2 = 0. What is g?
1
Let s = -4192/5 + 839. Suppose -4*b + 2*b + 4 = 0. Factor -s*o**b + 1/5 - 2/5*o.
-(o + 1)*(3*o - 1)/5
Let s(t) be the second derivative of t**6/15 - 2*t**4/3 + 52*t - 2. Suppose s(o) = 0. Calculate o.
-2, 0, 2
Let z = -2 + 6. Factor t**3 - t**3 + z - 3*t**2 - t**2 + 2*t**3 - 2*t.
2*(t - 2)*(t - 1)*(t + 1)
Let g(n) = -n**2 - 9*n + 10. Let o(c) = -c**2 + c - 4. Let j be o(2). Let t(a) = -a**2 - 9*a + 10. Let f(d) = j*t(d) + 7*g(d). Let f(l) = 0. Calculate l.
-10, 1
Let x(n) = 2*n**3 + n**2 - 5*n - 5. Let f(t) = 3*t**3 + 2*t**2 - 8*t - 8. Suppose 18*u = 21*u + 15. Let w(b) = u*f(b) + 8*x(b). Factor w(k).
k**2*(k - 2)
Let h(b) be the third derivative of 2*b**7/35 - 17*b**6/30 + 7*b**5/15 + 17*b**4/6 - 20*b**3/3 - 254*b**2. Solve h(t) = 0.
-1, 2/3, 1, 5
Suppose 2*p = -3*u - 9, -3*u = -8*u + 3*p + 4. Let b be -6 - (-5 + (u - 4)). Find z such that 0 + 0*z + 0*z**3 + 2/5*z**2 - 2/5*z**b = 0.
-1, 0, 1
Let i(f) be the second derivative of f**7/21 + 11*f**6/30 + f**5/5 - 5*f**4/12 + 41*f + 3. Factor i(m).
m**2*(m + 1)*(m + 5)*(2*m - 1)
Let u be ((-4)/(-10)*4)/((-2394)/(-855)). Solve 0 + 2/7*f + u*f**2 + 2/7*f**3 = 0 for f.
-1, 0
Let x(w) be the third derivative of w**7/560 + w**6/80 - 9*w**5/80 - 27*w**4/16 - 5*w**3/2 + 11*w**2. Let f(h) be the first derivative of x(h). Factor f(b).
3*(b - 3)*(b + 3)**2/2
Let h(d) be the second derivative of -d**7/42 + d**6/8 - d**5/12 - 5*d**4/8 + 5*d**3/3 + 2*d**2 - 9*d. Let i(t) be the first derivative of h(t). Factor i(q).
-5*(q - 2)*(q - 1)**2*(q + 1)
Suppose 49030*j**2 - 48628*j**2 - 15*j**4 + 66*j**3 + 225*j + 0*j**4 - 3*j**5 - 675 = 0. What is j?
-5, -3, 1, 5
Let q(t) be the second derivative of t**7/21 - 3*t**5/5 - 4*t**4/3 - t**3 + 10*t + 1. Factor q(w).
2*w*(w - 3)*(w + 1)**3
Let x = -9 - -11. Suppose 6*f + 9 - 27 = 0. Factor 0*c - 4*c**f - 7/4*c**4 - c**x + 0.
-c**2*(c + 2)*(7*c + 2)/4
Solve 0*s + 0 - 8/15*s**3 - 2/15*s**4 + 2/3*s**2 = 0.
-5, 0, 1
Let u(s) be the second derivative of s**7/42 + s**6/15 - 23*s**5/20 - 2*s**4 + 24*s**3 + 9*s + 6. Let u(o) = 0. Calculate o.
-4, 0, 3
Let i(s) be the third derivative of -s**6/40 - s**5/20 + 5*s**4/4 - 4*s**3 - 92*s**2. Factor i(k).
-3*(k - 2)*(k - 1)*(k + 4)
Solve -32/5*x - 4/5*x**4 + 32/5*x**3 + 8*x**2 - 36/5 = 0.
-1, 1, 9
Suppose 0 = 51*h - 53 - 151. Find n, given that 0 + 3/2*n**2 - 3/2*n**h + 0*n + 0*n**3 = 0.
-1, 0, 1
Let u(b) be the first derivative of -b**5/5 - 3*b**4/8 - b**2 - 7. Let i(t) be the second 