= 11784439/6 + -1964073. Factor 3/2*g**3 + 1/3*g - 7/6*g**2 + 0 - 5/6*g**4 + s*g**5.
g*(g - 2)*(g - 1)**3/6
Let r = 252 + -224. Let c be (-8)/(-30) - r/(-210). Factor -12/5*u**2 + c*u**3 - 8/5 + 18/5*u.
2*(u - 4)*(u - 1)**2/5
Let p = 19816 - 59446/3. Let -p - 8*l**2 - 14/3*l = 0. Calculate l.
-1/3, -1/4
Let b be (32/(-80))/((-4)/60). Let a be (-4)/(-44) - ((-270)/(-66) - b). Let 0*t + 0 - 3*t**a - 3*t**3 + 21/4*t**4 - 3/2*t**5 = 0. What is t?
-1/2, 0, 2
Solve -1023/4 - 1/4*c**2 - 26*c = 0 for c.
-93, -11
Find k, given that 1848/5*k - 426888/5 - 2/5*k**2 = 0.
462
Determine l, given that -10 - 81/2*l - 61/4*l**2 + 27/2*l**3 - 7/4*l**4 = 0.
-1, -2/7, 4, 5
Factor 810448 + 4*g**5 + 16412*g**3 + 102857*g**4 + 102929*g**4 - 65712*g - 206230*g**4 - 200836*g**2.
4*(g - 37)**3*(g - 2)*(g + 2)
Let b(k) be the third derivative of k**6/120 + k**5/4 - 39*k**4/8 + 167*k**3/6 + k**2 + 14*k. Let z(q) be the first derivative of b(q). Let z(a) = 0. What is a?
-13, 3
Let b(n) = -4*n**2 - 34*n. Let q(c) = -c**2 - 11*c. Let d(g) = g**3 + 8*g**2 + 11*g - 10. Let p be d(-6). Let l(i) = p*b(i) + 14*q(i). Factor l(r).
2*r*(r - 9)
Let i(a) be the third derivative of 34/3*a**4 + 8/21*a**8 + 481/30*a**5 + 4*a**3 + 33/5*a**6 + 0*a + 3 - 464/105*a**7 - 38*a**2. Let i(d) = 0. What is d?
-1/4, 2, 6
Let a(k) be the third derivative of -3/20*k**5 + 0*k**3 - 1/40*k**6 + 12 + 0*k - 1/4*k**4 + 2*k**2. Solve a(y) = 0.
-2, -1, 0
Let v(p) = 2*p**4 - 14*p**3 - 7*p**2 + 3*p - 3. Let s(m) = 3*m**4 - 27*m**3 - 15*m**2 + 5*m - 5. Let h(l) = 6*s(l) - 10*v(l). Factor h(b).
-2*b**2*(b + 1)*(b + 10)
Determine w, given that -w**3 - 40 - 59*w + 83/2*w**2 = 0.
-1/2, 2, 40
Let d = 20 - 16. What is b in 58*b**3 + 60*b**3 - d*b - 5*b**2 - 119*b**3 = 0?
-4, -1, 0
Let h(z) = z**3 - 18*z**2 - 17*z - 33. Let p be h(19). Let w be (5 - p)/(((-32)/(-4))/4). Let w + 0*s - 2*s**2 - 1/2*s**3 = 0. Calculate s.
-4, 0
Suppose -2*q = 3*q + d - 64, -5*q + 4*d = -69. Suppose -7 = -5*n + q. Find i, given that -2*i**4 + 2*i**2 - 7*i**3 + n*i**3 + 2*i + 0*i**3 + i**3 = 0.
-1, 0, 1
Let y(c) be the first derivative of -66 - 3/8*c - 1/8*c**3 + 3/8*c**2. Factor y(p).
-3*(p - 1)**2/8
Let d(f) be the third derivative of f**7/84 - f**5/24 + 22*f**2 + 5*f. Factor d(v).
5*v**2*(v - 1)*(v + 1)/2
Let f = 94 + -155. Let x = f + 65. Let -n + 3*n**2 + 2*n**3 + 3*n**3 + x*n + 1 - 4*n**3 = 0. Calculate n.
-1
Let v = -402/467 + 4073/934. Factor -1/4 - 49/4*q**2 + v*q.
-(7*q - 1)**2/4
Let m = -35 + 39. Let o be (-8)/m*(-62)/4. Suppose 1 + 1 + o*h - 25*h - 7 - h**2 = 0. Calculate h.
1, 5
Let r = 19 - 13. Suppose 0*p + r = 3*p. What is i in 23*i + 17*i + 5*i**p - 55*i = 0?
0, 3
Let o(d) = -39 + 18*d + 2*d**2 + d**2 + 27 + 27. Let n(f) = f + 1. Let k(w) = -15*n(w) + o(w). Factor k(h).
3*h*(h + 1)
Let k(p) be the second derivative of -p**5/130 - 5*p**4/26 - 25*p**3/13 - 125*p**2/13 - 7*p + 78. Factor k(w).
-2*(w + 5)**3/13
Let c be 21 + (-2)/(-13) + 4/(-26). Solve 50*d - 16 + 4*d**2 - c*d - 17*d = 0 for d.
-4, 1
Factor 6*q**2 + 12641 - 8*q**2 - 11325 + 174*q.
-2*(q - 94)*(q + 7)
Factor -8*y**2 - 30*y**2 - 265 + 434*y - 168*y + 37*y**2.
-(y - 265)*(y - 1)
Let b be (3/(396/1184) + -10 + 1)*-6. Factor -24/11*h + 0 - 26/11*h**2 - b*h**3.
-2*h*(h + 1)*(h + 12)/11
What is b in -984/5 + 51*b**3 - 438*b - 63*b**2 - 6/5*b**4 = 0?
-2, -1/2, 4, 41
Factor -1/5*k**3 - 5576*k - 337/5*k**2 + 17340.
-(k - 3)*(k + 170)**2/5
Let w be 54/(-180)*5/3*-38. Let b(d) = 32*d - 606. Let m be b(w). What is f in 12/7*f - 3/7*f**m + 15/7 = 0?
-1, 5
Let i be (-21)/105 - 111/(-5). Suppose i = 15*o - 4*o. Determine c, given that 1/2*c**o - 1 - 1/2*c = 0.
-1, 2
Let c(a) be the second derivative of a**6/10 + 3*a**5 + 9*a**4 - 5846*a. Factor c(j).
3*j**2*(j + 2)*(j + 18)
Let x = -687 + 691. Suppose 2*w**x + 8*w**2 - 88*w - 68*w**3 - 4*w**4 + 96 + 78*w**3 = 0. Calculate w.
-3, 2, 4
Let y(m) = -12*m**3 + 18*m**2 - 15*m + 3. Let c(g) = -g**3 + g**2 - 7*g + 1. Let f(v) = -3*c(v) + y(v). Factor f(w).
-3*w*(w - 2)*(3*w + 1)
Let y(b) be the second derivative of -1/3*b**3 + 1 - 1/18*b**4 + 35*b + 40/3*b**2. Suppose y(p) = 0. Calculate p.
-8, 5
Suppose 2*r + 54 = 124. Factor r - 2*a**3 + 96 + 31 - 198*a + 38*a**2.
-2*(a - 9)**2*(a - 1)
Let n be (-11 - ((130/30)/((-7)/21) - -2))/7. Factor n - 42/11*r**3 - 12/11*r - 38/11*r**2 - 2/11*r**5 - 18/11*r**4.
-2*r*(r + 1)**3*(r + 6)/11
Find r such that 5*r**3 - 426*r**2 + 28315*r - 18151*r - r**3 - 67032 - r**3 = 0.
14, 114
Let u(s) be the first derivative of -2*s**5/35 - 12*s**4/7 - 110*s**3/7 - 242*s**2/7 - 2602. Find n, given that u(n) = 0.
-11, -2, 0
Let m(n) be the third derivative of n**5/30 - 5*n**4/4 + 18*n**3 - 39*n**2 + 6. Let m(s) = 0. Calculate s.
6, 9
Suppose 3*c = 6, 6*l - 5*c = 2*l + 6. Suppose l*z = z + 6. Find v, given that 7 + v**2 + 2*v**z - 1 + 4*v**3 - 25*v + 0*v = 0.
-3, 1/4, 2
Let p(w) be the second derivative of 0 + 1600/7*w**2 + 1/42*w**4 + 80/21*w**3 - 5*w. Solve p(f) = 0 for f.
-40
Suppose 0 = -14*u - u + 330. Let -55*v**4 - 4*v - 4*v + 60*v**3 - 21*v**2 + u*v**4 + 2*v = 0. Calculate v.
-2/11, 0, 1
Let p(a) be the second derivative of a**4/4 + 55*a**3/2 - 261*a**2 + 523*a - 5. Factor p(l).
3*(l - 3)*(l + 58)
Let l(z) be the third derivative of 0*z + 1/15*z**6 + 0 - 1/3*z**4 + 1/15*z**5 + 36*z**2 - 2/105*z**7 + 0*z**3. Factor l(f).
-4*f*(f - 2)*(f - 1)*(f + 1)
Let c(h) be the first derivative of h**4/6 - 74*h**3/9 + 145*h**2 - 1050*h - 362. Factor c(a).
2*(a - 15)**2*(a - 7)/3
Let q(k) be the first derivative of 3*k**4/4 + 4*k**3 - 63*k**2/2 + 26. Factor q(g).
3*g*(g - 3)*(g + 7)
Solve -68/5*h**3 + 2/5*h**4 - 44*h - 74/5 - 216/5*h**2 = 0.
-1, 37
Let i(k) be the first derivative of -k**6/6 + 8*k**5/5 + 14*k**4 + 110*k**3/3 + 89*k**2/2 + 26*k + 2475. Solve i(q) = 0 for q.
-2, -1, 13
Let y(h) be the third derivative of -3*h**6/40 + 91*h**5/100 - 3*h**4/20 + h**2 + 527*h. Factor y(c).
-3*c*(c - 6)*(15*c - 1)/5
Let u(o) be the first derivative of -2*o**3/45 - o**2/5 - 4*o/15 + 17. Determine f so that u(f) = 0.
-2, -1
Let u(z) be the third derivative of z**5/20 - 37*z**4/8 + 105*z**3 + 4*z**2 - 206*z. What is o in u(o) = 0?
7, 30
Let g(v) = 11*v**2 - 40*v - 1. Let f be g(4). Let d(k) = k**2 + 2*k. Let r(o) = -5*o**2 + 11*o. Let n(c) = f*d(c) + 5*r(c). Solve n(q) = 0 for q.
0, 17/2
Factor -201/2*t**3 + 51*t**4 + 0*t - 1/2*t**5 + 50*t**2 + 0.
-t**2*(t - 100)*(t - 1)**2/2
Let f(l) be the third derivative of -l**6/300 + 91*l**5/30 + 6*l**2 + 75*l. Factor f(c).
-2*c**2*(c - 455)/5
Let d = -82222 - -82224. Factor 3/2*k**d + 9*k - 21/2.
3*(k - 1)*(k + 7)/2
Let d(g) be the second derivative of -5*g**4/12 + 505*g**3 - 459045*g**2/2 - 4453*g. Factor d(u).
-5*(u - 303)**2
Suppose -z = -f + 4*f - 28, f = 4. Let m be 24/15 + z/(-10) + 2. Let -70*u - 17*u**2 - 3*u**m + 15 + 10 - 25*u = 0. Calculate u.
-5, 1/4
Let i(f) be the first derivative of f**6/18 - 38*f**5/15 + 9*f**4 - 106*f**3/9 + 35*f**2/6 - 4564. Let i(l) = 0. Calculate l.
0, 1, 35
Suppose 1/7*b**4 + 476096/7*b + 473344/7 + 121092/7*b**2 + 692/7*b**3 = 0. Calculate b.
-344, -2
Suppose -t - 60 = 4*g - 68, -4*g = -6*t - 36. Find c, given that 4*c**5 + 1/3*c - 8/3*c**4 - 1/3 + 3*c**2 - 13/3*c**g = 0.
-1, -1/3, 1/2, 1
Suppose 729316/5 + 4/5*m**3 + 684*m**2 + 732732/5*m = 0. What is m?
-427, -1
Let p(d) be the first derivative of -2*d**5/5 + 5*d**4/2 + 32*d**3 - 252*d**2 - 1577. Find n such that p(n) = 0.
-7, 0, 6
Let m(c) = -10*c - 36. Let r be m(-3). Let q be ((-10)/r + -2)/((-7)/42). Factor -2*s - 15*s**2 - 8*s**q + 3 + 22*s**2.
-(s - 1)*(s + 3)
Let f(j) be the second derivative of j**7/56 + 2*j**6/5 + 87*j**5/80 - 65*j**4/8 - j - 131. Let f(l) = 0. What is l?
-13, -5, 0, 2
Let k(o) be the third derivative of -3*o**2 + 1/210*o**5 + 0*o + 0 + 2/7*o**3 - 1/12*o**4. Find i, given that k(i) = 0.
1, 6
Let h be (25 - (-900)/(-240)) + -1 + -20. Determine d, given that 1/8*d**5 + 1/4*d**2 + 0*d**3 - 1/8*d + 0 - h*d**4 = 0.
-1, 0, 1
Let p = 87 - 89. Let y be ((-58)/30 - p)/(30/100). Find h, given that 2/3*h**2 + 4/9*h + 0 + y*h**3 = 0.
-2, -1, 0
Suppose -9*t + 54 = -45, -5*t = -3*o - 56 + 7. Factor 108/7 - 36/7*n + 3/7*n**o.
3*(n - 6)**2/7
Suppose -5*b = -19 - 1. Find d such that -4*d**4 - 40*d**2 - 75*d**3 + 44*d**b + 80*d + 43*d**5 - 48*d**5 = 0.
-1, 0, 1, 4
Let g(k) = -9*k**2 -