 14*b + 28. Let i be o(16). Let a be (-1)/(-2) + 9/(-24)*i. Factor 0 + 1/3*q**4 - q**a + 0*q**3 - 2/3*q.
q*(q - 2)*(q + 1)**2/3
Let q(m) be the third derivative of m**6/96 + m**5/48 - 313*m**2. Factor q(v).
5*v**2*(v + 1)/4
What is f in f**4 + 49/4*f**3 + 76*f + 16 + 51*f**2 = 0?
-4, -1/4
Factor 2/5*u**2 + 0 - 24/5*u.
2*u*(u - 12)/5
Let u be (-2)/(-11) + 0 + 260/22. Suppose 0 = 7*g - u*g. Let 0*z**3 + g - 6/7*z**2 + 4/7*z + 2/7*z**4 = 0. Calculate z.
-2, 0, 1
Let i be (2/(-8))/((-16)/128) - 38. Let u be i/24*8/(-6). Solve 3/4*g + 0 - 9/2*g**u = 0.
0, 1/6
Factor 10/3 + 25/6*h + 5/6*h**2.
5*(h + 1)*(h + 4)/6
Factor -68/5*q + 22/5 + 2/5*q**4 - 28/5*q**3 + 72/5*q**2.
2*(q - 11)*(q - 1)**3/5
Let -32/7 + 10/7*p**4 - 8/7*p**3 - 32/7*p**2 - 2/7*p**5 + 64/7*p = 0. What is p?
-2, 1, 2
Let y be 7*2/2 - (-275 - -280). Let k(j) be the second derivative of 0 - 1/195*j**6 + 7*j + 0*j**3 + 0*j**y - 1/78*j**4 - 1/65*j**5. Factor k(g).
-2*g**2*(g + 1)**2/13
Solve 58*x + 0*x**2 - 129*x + 46*x - 4*x**2 + 69*x = 0 for x.
0, 11
Let l be (2 - -11) + -20 + 10. Factor 0 - 2/9*h**l + 2/9*h**4 + 0*h + 0*h**2.
2*h**3*(h - 1)/9
Let w = 1566 - 23462/15. Let y(f) be the second derivative of -4*f + 4/5*f**2 + 49/30*f**4 + 0 - w*f**3. Factor y(m).
2*(7*m - 2)**2/5
Let i be 2/(-6)*-1*15. Find m such that -m**3 - 26*m**i + 2*m**4 - 2*m**2 + 14*m**5 + 13*m**5 = 0.
-2, -1, 0, 1
Let o(i) = -i - 5. Let c(t) = -t**2 - 10*t - 15. Let p(u) = 4*c(u) - 12*o(u). Let p(g) = 0. Calculate g.
-7, 0
Let j(c) be the second derivative of 45/16*c**4 + 1/40*c**6 + 25/8*c**3 - 39/80*c**5 - 3*c - 375/4*c**2 + 0. Factor j(w).
3*(w - 5)**3*(w + 2)/4
Suppose 96/11*a**3 + 62/11*a**4 + 12/11*a**5 + 0 + 12/11*a + 58/11*a**2 = 0. What is a?
-3, -1, -2/3, -1/2, 0
Let k = 5265 - 21057/4. Let 0 - 3/4*y**4 + k*y - 9/4*y**2 + 9/4*y**3 = 0. What is y?
0, 1
Let 772/5*x + 376*x**2 + 49/5*x**4 + 96/5 + 1253/5*x**3 = 0. Calculate x.
-24, -1, -2/7
Let t(v) = -1 - v**3 + 6 - 2*v**2 + 0*v - 2 + v. Let d be t(-3). Determine x so that -x + 84*x**3 + x - 3*x**2 - d*x**2 - 147*x**4 = 0.
0, 2/7
Suppose -2*a + 5 = -1. Let z be ((-6)/8)/(9/(-36)). Let -z*r + r**2 - 2*r**2 + a*r**2 - 3*r = 0. What is r?
0, 3
Let y(w) be the second derivative of w**7/525 + w**6/100 + w**5/50 + w**4/60 + w**2/2 - 4*w. Let f(s) be the first derivative of y(s). Factor f(i).
2*i*(i + 1)**3/5
Factor -31 + 9*k**4 + 5*k - 5*k**4 + 27 - 3*k**4 + 3*k**2 - 5*k**3.
(k - 4)*(k - 1)**2*(k + 1)
Let h(r) be the second derivative of -r**7/210 + r**6/30 + 6*r**2 - 12*r. Let q(x) be the first derivative of h(x). Factor q(l).
-l**3*(l - 4)
Let n(b) be the first derivative of -6*b**2 + 4/3*b**3 + 8*b - 8. Factor n(w).
4*(w - 2)*(w - 1)
Let v(d) be the first derivative of d**4/90 + d**3/5 + 21*d + 20. Let i(n) be the first derivative of v(n). Factor i(o).
2*o*(o + 9)/15
Let c(l) be the third derivative of l**5/12 - 5*l**4/24 - 5*l**3 - l**2 + 23. Factor c(d).
5*(d - 3)*(d + 2)
Let x(j) be the second derivative of j**5/225 - j**4/20 + 4*j**3/45 + 5*j**2/2 + 28*j. Let k(i) be the first derivative of x(i). Factor k(b).
2*(b - 4)*(2*b - 1)/15
Let i = 2/5861 + 17579/11722. Let -7/4*f + 1/4*f**2 + i = 0. What is f?
1, 6
Let o(g) = 2*g**3 - 124*g**2 - 362*g - 220. Let p(v) = v**3 - 83*v**2 - 241*v - 147. Let m(c) = -5*o(c) + 8*p(c). Determine n so that m(n) = 0.
-19, -2, -1
Let u(b) be the first derivative of -b**4/114 - 4*b**3/57 + 5*b**2/19 - 42*b + 42. Let q(o) be the first derivative of u(o). Suppose q(y) = 0. What is y?
-5, 1
What is f in -46*f**2 - 126 - 15 - 109 - 225*f - 14*f**2 - 5*f**3 = 0?
-5, -2
Factor 6*y**2 - y**2 - 27966 - 1390*y + 70063 + 1685 + 52823.
5*(y - 139)**2
Suppose 21 = f + 3. Suppose m - 4*y - f = 0, 2*m = -2*m - 2*y. Find z, given that -2/5*z - 1/5*z**4 + 2/5*z**3 + 1/5 + 0*z**m = 0.
-1, 1
Let q(r) be the third derivative of r**7/490 + r**6/70 + 3*r**5/140 - r**4/14 - 2*r**3/7 + 511*r**2. Find a, given that q(a) = 0.
-2, -1, 1
Factor 25/4 + 25/4*v**2 + 65/2*v.
5*(v + 5)*(5*v + 1)/4
Determine h so that 24*h**2 + 4*h**3 + 2*h - 6*h + 44 - 33*h**2 - 35*h**2 = 0.
-1, 1, 11
Let i be ((-24)/(-32) - -3) + (-16)/(-64). Factor 0 - 16*c**i + 0*c + 32/5*c**5 - 4/5*c**2 + 34/5*c**3.
2*c**2*(c - 2)*(4*c - 1)**2/5
Let x(g) be the second derivative of 0*g**3 - 4/45*g**6 + 1/6*g**5 + 23*g + 0 - 1/9*g**4 + 0*g**2 + 1/63*g**7. Factor x(s).
2*s**2*(s - 2)*(s - 1)**2/3
Suppose -3 = 84*j - 79*j - 3*y, 0 = 2*j - y. What is m in -4/5 - 2/5*m**2 - 7/5*m + 1/5*m**j = 0?
-1, 4
Let m(k) be the second derivative of k**6/90 + k**5/12 + k**4/6 - 2*k**3/9 - 4*k**2/3 + 90*k. Factor m(y).
(y - 1)*(y + 2)**3/3
Let 290*d**2 - 54*d - 198*d**3 - 22 - 200*d**4 - 22*d**3 + 309*d - 35*d**5 - 68 = 0. Calculate d.
-3, -1, 2/7, 1
Let l(o) be the first derivative of o**6/18 - o**5/3 - 5*o**4/12 + 25*o**3/9 + 20*o**2/3 + 16*o/3 - 181. Factor l(d).
(d - 4)**2*(d + 1)**3/3
Suppose 48 + 112 = 5*i. Let u = i - 23. Factor u + 9*w**2 + 7 + 2*w**3 + 24*w - w**3.
(w + 1)*(w + 4)**2
Let w(o) = o**2 - 12*o - 20. Let s(d) = 7*d**2 + 26*d + 6. Let h be s(-4). Let v be w(h). Suppose v*z**3 - 8/7*z**4 - 66/7*z**2 - 16*z - 32/7 = 0. What is z?
-1/2, 4
Let g(v) = v**2 - 3*v. Let u(x) = -5*x**4 + 30*x**3 + 7*x**2 - 36*x. Let j(f) = 2*g(f) - u(f). Factor j(z).
5*z*(z - 6)*(z - 1)*(z + 1)
Let y(k) = -k. Let l(v) = 5*v + 8. Let s(j) = l(j) + 6*y(j). Let q be s(5). Factor 3 + 0*x**4 + 1 - 2*x**2 - 2*x**4 + 6*x - 6*x**q.
-2*(x - 1)*(x + 1)**2*(x + 2)
Let i(a) be the first derivative of -a**5/15 + 4*a**4/27 - 2*a**3/27 + 29*a + 18. Let q(f) be the first derivative of i(f). Factor q(u).
-4*u*(u - 1)*(3*u - 1)/9
Suppose 3*y**3 - 10*y**2 - 36*y + y**3 + 3*y**2 - 14*y**2 - 7*y**3 = 0. What is y?
-4, -3, 0
Let r(i) be the third derivative of -i**7/7560 + i**6/720 - i**5/180 + i**4/12 - 7*i**2. Let f(u) be the second derivative of r(u). Factor f(w).
-(w - 2)*(w - 1)/3
Let l(q) be the first derivative of q**4/4 + 8*q**3/3 - q**2/2 - 8*q + 351. Factor l(z).
(z - 1)*(z + 1)*(z + 8)
Let k be (-17)/(-5) - 10/25. Suppose 2*y = 4*z - 48, k*z - 33 = -3*y + 12. Determine i so that 53 - 45 + i**3 + 12*i - z*i**3 - 8*i**2 = 0.
-1, -2/3, 1
Find x such that -156/11*x**3 - 158/11*x**2 - 64/11*x - 8/11 - 54/11*x**4 = 0.
-1, -2/3, -2/9
Let q be ((-136)/66 + 2)/((-4)/44). Solve 4/9*n**2 + q*n - 4/9 = 0 for n.
-2, 1/2
Suppose -12*p + 49 - 1 = 0. Factor -2/3*h**p + 4/3*h**3 + 2/3*h**2 - 4/3*h + 0.
-2*h*(h - 2)*(h - 1)*(h + 1)/3
Let i(m) be the second derivative of m**7/1680 - m**5/20 - 17*m**4/12 + 12*m. Let a(n) be the third derivative of i(n). Factor a(x).
3*(x - 2)*(x + 2)/2
Let i = -451 + 451. Let a(t) be the third derivative of -1/3*t**3 + 1/210*t**7 + 0*t + 5/24*t**4 - 1/120*t**6 - 4*t**2 + i - 1/20*t**5. What is p in a(p) = 0?
-2, 1
Let m(f) be the second derivative of -f**5/80 - f**4/32 + f**2 - 10*f. Let x(c) be the first derivative of m(c). Factor x(p).
-3*p*(p + 1)/4
Let s(u) be the first derivative of -u**4/14 - 26*u**3/7 - 75*u**2/7 - 74*u/7 - 106. Factor s(w).
-2*(w + 1)**2*(w + 37)/7
Let u(t) = -11*t**4 - t**2. Let k(g) = -23*g**4 + g**3 - 2*g**2. Suppose 3*x = -2*x - 2*n + 57, 5 = x + 2*n. Let i(v) = x*u(v) - 6*k(v). Factor i(l).
-l**2*(l + 1)*(5*l + 1)
Let p(a) = -2*a**3 + 2*a**2 + 5*a - 6. Let m be p(2). Let c be (10/m - -3)*4. Determine f so that 2/3*f + 2/3*f**c - 2/3 - 2/3*f**3 = 0.
-1, 1
Factor -190*o**3 - 2 + 194*o**3 + 2 - 8*o**2.
4*o**2*(o - 2)
Let c(x) = 3*x + 4. Let k be c(0). Suppose -5*q - j - 5 = k*j, q = 4*j + 19. Let 2/3*i**q + 0 + 0*i**2 - 2/3*i = 0. Calculate i.
-1, 0, 1
Suppose -6 = -6*m + 4*k + 38, -40 = 5*k. Factor 16/9*h - 2 + 2/9*h**m.
2*(h - 1)*(h + 9)/9
Let r(t) be the third derivative of 1/540*t**6 - 13*t**2 + 0*t - 1/54*t**4 + 0*t**3 + 0 + 1/270*t**5. Factor r(q).
2*q*(q - 1)*(q + 2)/9
Let y(t) = -t**2 - t - 1. Let m(u) = u**3 + 2*u**2 + 5*u + 4. Let a be (-28)/(-35) - 32/(-10). Let f(i) = a*y(i) + m(i). Let f(b) = 0. Calculate b.
0, 1
Let s(b) = b**2 - 85*b - 968. Let c(k) = 2*k**2 - 256*k - 2904. Let v(l) = 3*c(l) - 8*s(l). Find n such that v(n) = 0.
-22
Let v = 25958/7 - 3708. Find b such that 8/21 + 0*b - v*b**2 + 2/21*b**3 = 0.
-1, 2
Let m(a) be the first derivative of -2/5*a**5 + 7 - 2*a**3 + 0*a - 3/2*a**4 - a**2. Solve m(o) = 0.
-1, 0
Suppose 3*u + u + 3*n - 92 = 0, -5*n = -3*u +