 + 0 + 2/7*l**h.
2*l*(l + 4)/7
Let r be 1/(11 + (-9 - -11)). Let h(d) be the second derivative of -2/65*d**5 + 0 + 5*d - r*d**2 - 4/39*d**3 - 1/195*d**6 - 1/13*d**4. Factor h(p).
-2*(p + 1)**4/13
Suppose 13 = t + 14. Let u be (t/2)/(1/(-10)). What is m in -5*m**2 + 1 - u - 2*m + 4*m**2 + 3*m**2 = 0?
-1, 2
Let n = 777/1556 - -1/1556. Determine u so that n*u + 0 - 1/4*u**2 - 1/4*u**3 = 0.
-2, 0, 1
Let y(w) be the second derivative of -1/8*w**4 - 1/3*w**3 + 0*w**2 - 8*w - 1/360*w**6 + 0 - 1/30*w**5. Let q(d) be the second derivative of y(d). Factor q(b).
-(b + 1)*(b + 3)
Let m(g) = -g**5 - 1. Let k(d) = -4*d**5 - 2*d**4 + 2*d**3 + 2*d**2 - 2. Let v = 0 - -4. Suppose -2*z + 0 = v. Let x(q) = z*m(q) + k(q). Factor x(w).
-2*w**2*(w - 1)*(w + 1)**2
Let t(j) be the third derivative of 0 + 0*j + 1/42*j**4 - 1/630*j**5 - 8*j**2 - 1/7*j**3. Solve t(h) = 0 for h.
3
Let g be 17/(-374)*(-4)/3. Let o(s) be the third derivative of 0*s - 4*s**2 + 0 + g*s**3 + 7/132*s**4 + 1/132*s**6 + 3/110*s**5 + 1/1155*s**7. Factor o(c).
2*(c + 1)**3*(c + 2)/11
Let y(v) be the first derivative of -v**4/10 - 32*v**3/5 + 128. Find q, given that y(q) = 0.
-48, 0
Suppose 2/9*j**2 + 4/9*j + 2/9 = 0. Calculate j.
-1
Suppose -5*c = 5*t - 25, -3*c + 110*t - 115*t = -15. Factor 2/23*x**c + 66/23*x + 60/23*x**3 + 18/23 + 4*x**2 + 18/23*x**4.
2*(x + 1)**3*(x + 3)**2/23
Let s(p) be the second derivative of 0*p**2 + 13*p + 0 + 1/4*p**3 + 1/20*p**6 - 3/40*p**5 - 1/8*p**4. What is y in s(y) = 0?
-1, 0, 1
Let u be 70/4 - (-75)/30. Find a, given that -u*a**2 - 45/4 + 30*a = 0.
3/4
Let 12*x**4 - 45/2*x**2 - 3*x + 0 + 27/2*x**3 = 0. What is x?
-2, -1/8, 0, 1
Let v = -51 - -207/4. Let l(u) be the second derivative of -1/2*u**3 + 0*u**4 - 4*u + 0 + v*u**2 + 3/20*u**5 - 1/20*u**6. Factor l(j).
-3*(j - 1)**3*(j + 1)/2
Factor 2*d**3 + 2/5*d**2 + 0*d + 0 + 14/5*d**4 + 6/5*d**5.
2*d**2*(d + 1)**2*(3*d + 1)/5
Factor 13*p + 2*p - 16*p + 6 - p**2.
-(p - 2)*(p + 3)
Let n be 74/44 + 64/(-352). Suppose -6*c - n*c**2 - 9/2 = 0. What is c?
-3, -1
Suppose 0 = 33*y - 32 - 34. Factor 2/7*o**y - 8/7 - 6/7*o.
2*(o - 4)*(o + 1)/7
Let k(c) = -3*c**3 + 11*c**2 - 46*c + 4. Let r(s) = s**3 - 12*s**2 + 47*s - 3. Let z(q) = 3*k(q) + 4*r(q). Factor z(h).
-5*h*(h - 2)*(h + 5)
Let z(x) be the first derivative of x**7/21 - x**5/5 + x**3/3 + 11*x + 7. Let b(r) be the first derivative of z(r). Factor b(o).
2*o*(o - 1)**2*(o + 1)**2
Let b = 120 - 84. Find m, given that 7*m - 20*m**4 - 28*m**2 + 2*m - m - 2*m**5 + b*m**3 + 6*m**5 = 0.
0, 1, 2
Let w be 177/66 + -2 - 578/3179. Let 0 + 0*k + 3/2*k**4 - w*k**5 - 2*k**2 + 0*k**3 = 0. What is k?
-1, 0, 2
Let p = -1 - -8. Let y be 2/p - (-108)/63. Solve 2*g**y + g**2 - 8*g - 3*g**2 + 4 - 5*g**2 = 0 for g.
-2, 2/5
Let f = -2047 - -14332/7. Factor -6/7 - 9/7*w**2 + f*w**3 + 3/7*w**4 - 15/7*w.
3*(w - 2)*(w + 1)**3/7
Let l(t) be the second derivative of -5*t**5/28 + 5*t**4/6 - 22*t**3/21 + 4*t**2/7 - 89*t. Factor l(i).
-(i - 2)*(5*i - 2)**2/7
Let c(l) = l. Let h be c(2). Factor -p**2 - 3*p**2 - h*p - 2*p + 0*p.
-4*p*(p + 1)
Suppose -2*n - 10 = 4*p, 0 = n + p - 0*p. Determine o so that -5*o - n*o**3 - 9*o**3 - 5*o**5 + 24*o**3 = 0.
-1, 0, 1
Let h(t) = t. Let v(n) be the second derivative of -n**6/30 + n**5/20 + n**4/4 + n**2 - 15*n. Let j(y) = -20*h(y) + 4*v(y). Let j(r) = 0. What is r?
-2, 1
Let o(q) be the first derivative of q**4/18 + 2*q**3/9 - q**2 + 6*q - 8. Let r(u) be the first derivative of o(u). Factor r(m).
2*(m - 1)*(m + 3)/3
Let y(q) = 39*q - 3508. Let l be y(90). Factor -4/3*d + 0 - 14/9*d**l - 2/9*d**3.
-2*d*(d + 1)*(d + 6)/9
Let b(g) = -g - 6 + 5*g + g**2 - g + g**2. Let p(m) = m. Let f(r) = 2*b(r) + 2*p(r). Find v, given that f(v) = 0.
-3, 1
Let s(n) be the third derivative of -n**5/60 - 3*n**4/4 - 17*n**3/6 - 104*n**2. What is x in s(x) = 0?
-17, -1
Let q = 11153 - 34276/3. Let l = -1499/6 - q. Determine c, given that 405/4*c + l*c**3 + 1/4*c**5 - 135/2*c**2 - 15/4*c**4 - 243/4 = 0.
3
Let m(k) be the second derivative of -k**7/15120 - k**6/4320 + k**5/120 - k**4 + 11*k. Let p(o) be the third derivative of m(o). Factor p(j).
-(j - 2)*(j + 3)/6
Let b(q) be the second derivative of -q**5/5 - 19*q**4/3 - 160*q**3/3 + 200*q**2 - q - 3. Factor b(n).
-4*(n - 1)*(n + 10)**2
Let b be (81 + -81)/((-10)/(-1)). Factor 1/2*o**3 - 1/4*o + 0*o**2 + b*o**4 + 0 - 1/4*o**5.
-o*(o - 1)**2*(o + 1)**2/4
Let o(f) = 2*f**4 + f**3 + 2. Let s(i) = 36*i**4 + 74*i**3 - 12*i**2 - 52*i + 4. Let k(u) = 10*o(u) - s(u). Determine g, given that k(g) = 0.
-4, -1/2, 1
Determine i, given that 4/5*i + 0*i**2 + 2/5*i**4 - 4/5*i**3 - 2/5 = 0.
-1, 1
What is d in 2/7*d**2 + 22/7*d + 60/7 = 0?
-6, -5
Let a(t) be the third derivative of t**5/12 + 95*t**4/24 + 15*t**3 + 77*t**2. Factor a(v).
5*(v + 1)*(v + 18)
Let x(d) be the first derivative of -2*d**3/9 - 53*d**2/3 + 305. Determine f so that x(f) = 0.
-53, 0
Suppose p + 4 = 2*d - 0, -9 = 2*p - 5*d. Let k be 56/(-70)*5/p. Factor -k*g - 2*g - 2*g + 3*g + 3*g**3.
3*g*(g - 1)*(g + 1)
Let r(a) be the first derivative of 0*a**3 - a**2 + 0*a - 1/15*a**5 - 1/6*a**4 - 8. Let y(j) be the second derivative of r(j). Determine t so that y(t) = 0.
-1, 0
Suppose 4*c = 3*j + 588, 763 - 160 = -3*j - c. Let n = j + 200. Factor 2/7*l + n + 0*l**3 + 3/7*l**2 - 1/7*l**4.
-l*(l - 2)*(l + 1)**2/7
Suppose -s = o, 7*o - 4*s = 2*o + 36. Suppose 36 = -o*b + 8*b. Find z, given that 2 + 1 + 16*z + 3*z**2 + b*z - 31*z = 0.
1
Suppose 41*k - 205 + 0*k**2 + 5*k**3 - 7*k**2 - 116*k + 25 + 17*k**2 = 0. What is k?
-3, 4
Let h(p) be the third derivative of 5*p**8/336 + p**7/14 - p**6/8 - 7*p**5/12 + 5*p**4/4 + 125*p**2. Suppose h(z) = 0. Calculate z.
-3, -2, 0, 1
Let h(o) be the third derivative of 26*o**2 - 1/140*o**6 + 0 + 1/7*o**3 - 1/35*o**5 + 1/784*o**8 + 0*o + 1/56*o**4 + 1/245*o**7. Suppose h(g) = 0. What is g?
-2, -1, 1
Let f(c) be the third derivative of -c**8/1512 + c**6/180 + c**5/135 + 2*c**2 - 14*c. Factor f(w).
-2*w**2*(w - 2)*(w + 1)**2/9
Let l(m) = -3*m**3 + 2*m**2 - 5*m + 5. Let b(a) = -a**2 + a - 1. Let y = -20 + 15. Let x(p) = y*b(p) - l(p). Factor x(v).
3*v**2*(v + 1)
Let s(z) be the second derivative of 2*z**7/63 - 2*z**6/9 + 7*z**5/15 - z**4/3 - 25*z. Factor s(k).
4*k**2*(k - 3)*(k - 1)**2/3
Let z(d) = d**2 + 12*d - 2. Let g(c) = -2*c**2 - 24*c + 4. Let n(w) = 4*g(w) + 7*z(w). Let j be n(-12). Suppose -15 + l**j + 15 = 0. Calculate l.
0
Let n = -1270 + 1280. Let -55/4*f + 105/4*f**3 + 5/2 + n*f**2 = 0. What is f?
-1, 2/7, 1/3
Suppose 0*r - 10 = -3*p - 5*r, 4*p + 5*r - 15 = 0. Suppose j = -4*q + 5 + 6, p*q - 16 = j. Let 0 - 4/5*z**q + 2/5*z**2 + 2/5*z = 0. Calculate z.
-1/2, 0, 1
Suppose -2*l = 53*g - 51*g + 6, -4*g = -4*l + 36. Factor -10*n**2 - 5/3*n**l - 15*n + 0.
-5*n*(n + 3)**2/3
Let g be (-13)/(-180)*33 + (-32)/240. Let n(d) be the first derivative of -g*d**2 + 1/2*d**3 + 3*d + 7. Factor n(l).
3*(l - 2)*(l - 1)/2
Suppose 0 = -5*y - 0*y + 80. Let x be y/6 + 3/9. Find c such that 17*c**2 + 6 - 19*c**2 + 29*c**2 + 33*c + 12*c**x + 12*c**2 = 0.
-2, -1, -1/4
Find x such that -152*x - 2*x**2 + 398*x + 0*x**2 + 5*x**2 + 268 - 25 = 0.
-81, -1
Let p(m) = -m**2 + 1. Suppose 5*h - 10 = 5*v, 4*v - 5*v - 4*h = -23. Let g(q) = v*q**2 - 6 + 0*q**2 + 2*q**2. Let f(y) = g(y) + 6*p(y). Factor f(u).
-u**2
Let p(k) be the third derivative of -k**5/105 + 65*k**4/21 - 8450*k**3/21 + 40*k**2 - 2*k. Let p(r) = 0. What is r?
65
Find z, given that 16/17*z**3 + 0 + 2/17*z**4 + 14/17*z**2 + 0*z = 0.
-7, -1, 0
Let g be -2 + 0 - (-7 + 0 + 567/126). Find c such that 3/8 - g*c + 1/8*c**2 = 0.
1, 3
Let i(a) be the second derivative of 31*a + 0 - 6*a**2 - 1/4*a**4 + 5/2*a**3. Suppose i(h) = 0. What is h?
1, 4
Let y = 2965/2 - 1482. Solve 0 + 1/2*g**2 + y*g**4 + g**3 + 0*g = 0 for g.
-1, 0
Let q be (4 - -1) + (14 - 16). Let g(v) be the second derivative of 3/2*v**6 + 0 + 0*v**q + 12*v + 5/12*v**4 + 10/21*v**7 + 3/2*v**5 + 0*v**2. Factor g(k).
5*k**2*(k + 1)**2*(4*k + 1)
Let x(z) = -z**3 - 4*z**2 + z. Let j(n) = 13*n**3 + 108*n**2 + 125*n - 676. Let b(p) = j(p) + 5*x(p). Factor b(y).
2*(y - 2)*(2*y + 13)**2
Suppose 17 = -5*n + 62. Let b(a) = -a**2 + 10*a - 6. Let j be b(n). Factor 4*f**3 + 11*f**4 - 10*f**j - 2*f**4 + 1 - 6*f**2 - 3*f**5 + 9*f - 4.
-3*(f - 1)**4*(f + 1)
Let s(d) be the third derivative 