**3 + 0 + 6/5*d = 0.
0, 1, 2
Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0.
-1, 2/7, 1
Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h.
-1, 0, 1/2, 6/5
Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z**5 + 328/21*z**3. Factor m(s).
-4*(s + 6)*(7*s - 2)**2/7
Let i(h) be the first derivative of 2*h**3/11 - 258*h**2/11 - 96*h + 808. Find w, given that i(w) = 0.
-2, 88
Let h = 245 + -1212/5. Let z be (-6)/((360/108)/(16/(-18))). Factor -6/5 - z*t**2 + h*t + 1/5*t**3.
(t - 6)*(t - 1)**2/5
Let s be (0 + 3 - 5) + 8/2. Suppose 0 = 3*z + s*j + j, 20 = z - 3*j. Determine t so that -59*t**z + 4*t**4 - 6*t**2 + 2*t**3 + 57*t**5 + 2*t**2 = 0.
-1, 0, 1, 2
Determine l, given that -39/4*l + 1031/8*l**3 - 387/8*l**4 - 721/8*l**2 - 5/8*l**5 + 20 = 0.
-80, -2/5, 1
Suppose -14874 + 3*h**2 - 7959 - 420*h + 37533 = 0. Calculate h.
70
Let h be 7 + 5*5*(-4)/50. Find v, given that 140*v**3 - 16*v**2 - 14*v**4 + 3*v**5 - 63*v**3 - 49*v**3 - v**h = 0.
0, 1, 2, 4
Suppose -97*y + 23*y + 86 = -31*y. Suppose -2/13*m**3 + 16/13*m**y - 2/13*m**4 + 24/13*m + 0 = 0. Calculate m.
-2, 0, 3
Let p = -30 + 91. Let h = -59 + p. Factor 101*a**h + 45*a - 40 + 104*a**2 - 210*a**2.
-5*(a - 8)*(a - 1)
Solve 111 - 51 - 5*z**2 + 523 + 2 + 580*z = 0 for z.
-1, 117
Suppose -1 = q + 3*o, -4*q + 8 = 4*o - 4. Suppose q*n = -5*n. Determine s so that n*s**3 - 12 - 2*s**3 + 3*s**3 + 4*s - 5*s**3 + 12*s**2 = 0.
-1, 1, 3
Let f(p) be the first derivative of 5*p**6/6 + 8*p**5 - 55*p**4/4 - 890*p**3/3 - 1010*p**2 - 1400*p + 873. Let f(k) = 0. What is k?
-7, -2, 5
Let n(m) be the first derivative of 71*m**2 + 0*m - 124 - 2/3*m**3. Solve n(j) = 0.
0, 71
Let c(a) be the third derivative of 0*a - 2/105*a**6 + 0 - 2/7*a**4 + 34*a**2 - 11/105*a**5 - 3/7*a**3 - 1/735*a**7. Suppose c(o) = 0. Calculate o.
-3, -1
Let g**2 - 57/7*g + 50/7 = 0. Calculate g.
1, 50/7
Let m(q) be the third derivative of q**7/420 + q**6/120 - q**5/40 - q**4/6 - q**3/3 - 304*q**2. Let m(x) = 0. What is x?
-2, -1, 2
Suppose 0 = 6*g + 130 + 32. Let l be -5 - (2 + 18/(-10))*g. Determine p so that -2/5*p**2 + 0 - l*p = 0.
-1, 0
Let n = 26583 - 106329/4. Let v(c) be the first derivative of -3 + 0*c + 1/5*c**5 + n*c**4 + 2/3*c**3 + 0*c**2. Suppose v(g) = 0. What is g?
-2, -1, 0
Let k = -19464 + 19468. Let n(i) be the second derivative of -1/20*i**5 + 1/6*i**k + 13*i + 0 + 0*i**3 + 0*i**2. Factor n(c).
-c**2*(c - 2)
Let p(g) be the second derivative of -g**5/90 + 13*g**4/54 - 35*g**3/27 - 49*g**2/9 + 257*g. Suppose p(m) = 0. Calculate m.
-1, 7
Let -57/5*x**2 + 93/5*x**4 + 103/5*x**3 - 36/5 + 9/5*x**5 - 112/5*x = 0. What is x?
-9, -1, -2/3, 1
Let u(a) be the first derivative of -2*a**5/15 + 26*a**4/3 + 440*a**3/9 + 224*a**2/3 + 3163. What is k in u(k) = 0?
-2, 0, 56
Suppose 0 = 22*y + x - 2, -y - 86*x + 6 = -83*x. Find o such that y - 4/11*o - 2/11*o**2 = 0.
-2, 0
Let z(a) = -11*a**2 + 12*a - 19. Suppose 62 = 17*p - 74. Let i(o) = -31*o**2 + 37*o - 54. Let s(k) = p*z(k) - 3*i(k). Determine y so that s(y) = 0.
1, 2
Let f = 27/472 + 563/472. Factor -5/2*x - f - 5/4*x**2.
-5*(x + 1)**2/4
Find v, given that -428*v**3 - 16/3*v**5 + 220/3*v**2 + 108 + 348*v - 96*v**4 = 0.
-9, -1/2, 1
Let k(h) = -h**2 + 6*h + 1. Let u be k(8). Let m = u - -18. Factor -1 + 1 - 6*j**2 + 5*j - 2*j + 3*j**m.
3*j*(j - 1)**2
Let m(u) be the second derivative of -u**7/840 + u**6/96 - u**5/40 - 39*u**2 - 9*u + 11. Let q(b) be the first derivative of m(b). Let q(o) = 0. What is o?
0, 2, 3
Let b(t) = 10*t + 26. Let k be b(-2). Let w(v) be the third derivative of 0*v**4 + 1/14*v**7 + 1/20*v**5 + 3/20*v**k + 0*v - 7*v**2 + 0*v**3 + 0. Factor w(c).
3*c**2*(c + 1)*(5*c + 1)
Let m(d) be the second derivative of -2*d**7/21 + 32*d**6/15 - 3*d**5 - 94*d + 3. Let m(x) = 0. Calculate x.
0, 1, 15
Let v(a) be the third derivative of a**7/42 - a**6/3 + 2*a**5/3 + 20*a**4/3 - 40*a**3 - 79*a**2 + 2. Factor v(j).
5*(j - 6)*(j - 2)**2*(j + 2)
Solve 82*s**3 + 2906*s + 2948*s + 76*s**2 - 6014*s + 2*s**4 = 0.
-40, -2, 0, 1
Let m(r) be the second derivative of -r**5/100 + r**3/10 - 34*r**2 + 102*r. Let l(s) be the first derivative of m(s). Find f, given that l(f) = 0.
-1, 1
Let m = 9 - 3. Let x(d) be the first derivative of -9/5*d**5 + 5/8*d**m - 1/2*d**3 + 0*d**2 + 8 + 0*d + 27/16*d**4. Determine c, given that x(c) = 0.
0, 2/5, 1
Suppose -15102*g + 84 = -15074*g. Let c(o) be the third derivative of 1/30*o**4 - 2/75*o**5 + 0 + 1/150*o**6 + 0*o + 0*o**g - 29*o**2. Factor c(f).
4*f*(f - 1)**2/5
Suppose 15*s - 30 = -4*v + 13*s, -4*v - 5*s + 63 = 0. Factor 9/4*q**3 + 15/4*q**v - 3 - 3*q.
3*(q - 1)*(q + 2)*(3*q + 2)/4
Let a(l) = l**2 - 14*l - 119. Let t be a(-6). Suppose -4*k - 2*g = -105 + 103, -5*k + t = g. Suppose x**3 + 1/2*x**2 + 1/2*x**4 + 0*x + k = 0. What is x?
-1, 0
Factor -272*d + 50/3*d**2 + 888 + 2/3*d**3.
2*(d - 6)**2*(d + 37)/3
Determine q so that 132*q**2 + 7*q**3 + 955 + q**5 - 144*q - 3*q**4 - 955 - 35*q**3 = 0.
-6, 0, 2, 3, 4
Let v be 15/(-45) - ((-42)/36 + (-1)/(-3)). Let m(p) be the second derivative of v*p**6 + 0*p**2 - 5/3*p**3 + 1/2*p**5 + 0 - 30*p - 5/4*p**4. Factor m(l).
5*l*(l - 1)*(l + 1)*(3*l + 2)
Suppose 24 = -4*i - 4*l, 5*i + 46 = -2*l + 43. What is p in -12/5 - 12/5*p**2 - 2/5*p**i - 22/5*p = 0?
-3, -2, -1
Let v(c) = 6*c**2 + 5002*c + 4958. Let w(b) = -31*b**2 - 25031*b - 24791. Let k(n) = 11*v(n) + 2*w(n). Factor k(q).
4*(q + 1)*(q + 1239)
Let y(p) be the second derivative of p**4/4 + 341*p**3 + 348843*p**2/2 + 2611*p. Suppose y(v) = 0. Calculate v.
-341
Let w(r) = r**2 + r - 5. Let t(a) = 3*a**3 - 17*a**2 + 26*a - 5. Let c(j) = -2*t(j) + 6*w(j). Let c(o) = 0. What is o?
-1/3, 2, 5
Let u = -315889 - -315894. Factor 4/13*y**u + 0*y - 2/13*y**3 - 2/13*y**4 + 0 + 0*y**2.
2*y**3*(y - 1)*(2*y + 1)/13
Suppose 35*s = 58*s - 345. Factor 4*m**2 - 15*m - 2*m**2 - 4*m**2 + 34*m - s*m.
-2*m*(m - 2)
Let c = 3/5587795 - -17506557547/7800561820. Let t = c + 2/349. Factor 3/2*h - 3/4*h**4 + 0 - 3/4*h**5 + t*h**3 + 15/4*h**2.
-3*h*(h - 2)*(h + 1)**3/4
Let v(t) be the third derivative of -1/5*t**5 + 0 + 2*t - 39*t**2 - 8/3*t**4 + 8*t**3. Factor v(n).
-4*(n + 6)*(3*n - 2)
Let z(k) be the first derivative of -k**6/288 - k**5/30 - k**4/32 + 79*k**3 + 15. Let d(b) be the third derivative of z(b). Factor d(c).
-(c + 3)*(5*c + 1)/4
Let p be (-186)/31 + (1 - -7). Let 48*z**3 + 76 + z**4 + 888*z**2 - 120*z**p - 76 + 4096*z = 0. Calculate z.
-16, 0
Let d(g) be the third derivative of 0 - 17/84*g**4 + 1/210*g**5 - 29*g**2 + 11/21*g**3 + 1/84*g**6 + 0*g. Let d(t) = 0. Calculate t.
-11/5, 1
Factor -18*r + r**5 - 30 - 20*r**2 + 187758*r**4 + 0*r**5 - 47*r - 187748*r**4 + 30*r**3 - 6*r**5.
-5*(r - 3)*(r - 2)*(r + 1)**3
Let n = 119213/7 + -17027. Factor n - 24/7*z**2 - 3/7*z + 3/7*z**3.
3*(z - 8)*(z - 1)*(z + 1)/7
Suppose -72 - 72 = -18*b. Let a = -5 + b. Factor 2*n**4 - n**4 + 0*n - 16*n**2 + 15*n**2 + 3*n - a*n**3.
n*(n - 3)*(n - 1)*(n + 1)
Let s = 315 - 126. Let m = 5436 - 5434. Determine g, given that 57 - s*g - 4*g**3 - 45*g**m + g**3 - 204 = 0.
-7, -1
Let m(y) be the first derivative of 32/5*y + 56/15*y**2 + 2/15*y**3 - 1/5*y**4 - 2/75*y**5 + 122. Determine g, given that m(g) = 0.
-4, -1, 3
Let l(j) be the first derivative of -3*j**5/5 - 93*j**4 - 4084*j**3 - 22320*j**2 - 43200*j - 4868. Solve l(s) = 0 for s.
-60, -2
Let d(r) = 15*r**2 + 6*r + 12. Suppose -3*x + 2*q = -q - 15, 5*q = 4*x - 24. Let s(g) = -15*g + 5*g - 1 + 9*g - g**2. Let w(l) = x*d(l) + 12*s(l). Factor w(o).
3*o*(o - 2)
Suppose 5*j - 20 = -z, z + 229 = j + 225. Suppose 4/5*p**3 - 16/5*p**2 + 0 + z*p = 0. Calculate p.
0, 4
Let u(j) = 2*j**2. Let q(g) = -10*g + g + g - 2 + 8 + 24*g**2. Let y(v) = 2*q(v) - 22*u(v). Factor y(x).
4*(x - 3)*(x - 1)
Suppose -6448/3*k**2 - 1088/3 + 2896/3*k**3 - 7/3*k**5 + 1808*k - 144*k**4 = 0. What is k?
-68, 2/7, 2
Let i(a) = 2*a**3 - 9*a**2 - 8*a + 15. Let q(z) = -z**3 + 4*z**2 + 4*z - 7. Suppose 0 = 3*v - c - 12, v - 4*c = 13 + 2. Let g(o) = v*i(o) + 7*q(o). Factor g(n).
-(n - 2)*(n - 1)*(n + 2)
Suppose 342/7*d**3 + 0 - 80/7*d**2 + 2*d**5 - 8*d - 220/7*d**4 = 0. What is d?
-2/7, 0, 1, 14
Let g(a) = -101*a**2 + 2*a + 2. Let f be g(-1). Let b = f + 102. Find m such that 0 - 14*m**2