j**2/2 + 993. Factor o(n).
3*n*(n + 53)
Let x(q) = -1. Let c(t) = 5*t**2 + 140*t + 975. Let m(b) = c(b) - 5*x(b). Factor m(i).
5*(i + 14)**2
Factor 1/2*z**2 - 5/2 - 1/4*z.
(z + 2)*(2*z - 5)/4
Let 2/7*w + 0 - 4/21*w**2 - 2/3*w**3 - 4/21*w**4 = 0. Calculate w.
-3, -1, 0, 1/2
Let i(p) be the second derivative of -3*p**5/20 + 53*p**4/4 + 109*p**3/2 + 165*p**2/2 - 3*p - 2. Suppose i(q) = 0. Calculate q.
-1, 55
Let q(y) = -8*y**3 + 237*y**2 - 229*y + 3. Let n(t) = 17*t**3 - 473*t**2 + 456*t - 7. Let a(l) = 3*n(l) + 7*q(l). Factor a(m).
-5*m*(m - 47)*(m - 1)
Let i(f) = -2*f**3 - 21*f**2 + 28*f - 92. Let d be i(-12). Find s such that 13/2*s**2 + 2*s**5 - 5/2*s - 11/2*s**d + 1/2*s**3 - 1 = 0.
-1, -1/4, 1, 2
Let p be 1/(((-27)/162)/((-4)/6)). Suppose 6*f**2 - 12*f + 1/9*f**p + 9 - 4/3*f**3 = 0. Calculate f.
3
Let t(z) be the second derivative of z**6/35 + 87*z**5/140 - 61*z**4/14 + 38*z**3/7 + 108*z**2/7 - 880*z. Find g such that t(g) = 0.
-18, -1/2, 2
Suppose 30/7*f**3 + 66/7*f**2 + 34/7*f - 2/7*f**4 + 0 = 0. What is f?
-1, 0, 17
Let b = 49082/5 - 9816. Solve 4*j**2 - 4*j**3 + 2/5 + 2*j**4 - b*j**5 - 2*j = 0 for j.
1
Let v(n) be the third derivative of 0*n + 3 + 1/420*n**6 - 13/210*n**5 + 23/84*n**4 - 11/21*n**3 + 13*n**2. Factor v(y).
2*(y - 11)*(y - 1)**2/7
Let m = -79 - -93. Let t be 2 + 52/(-28) + 4/m. Determine p, given that -3/7*p**2 + t + 3/7*p**3 - 3/7*p = 0.
-1, 1
Suppose n - 8 = -0. Let v = 11 - n. Factor 5*m**3 - 8*m**v + 0*m**3 + 3*m**4.
3*m**3*(m - 1)
Let m = -11 - -24. Let h = m - 10. Solve -3*v**5 + v + 4*v**5 + 0*v**3 - 2*v**h = 0.
-1, 0, 1
Let b be 7984/(-18) + (-5 - -2). Let q = 447 + b. Factor q + 2/9*f**2 - 2/3*f.
2*(f - 2)*(f - 1)/9
Let u(f) = 21*f**3 + 585*f**2 + 231*f + 27. Let l(z) = -82*z**3 - 2340*z**2 - 924*z - 110. Let n(k) = 2*l(k) + 9*u(k). Let n(v) = 0. What is v?
-23, -1/5
Suppose -4*b = -4, 2*o - 3*b = 5*o + 60. Let i be 0 + 10/16 + o/(-168). Factor -1/2*d - 3/4*d**2 + i*d**3 + 1/2*d**4 + 0.
d*(d - 1)*(d + 2)*(2*d + 1)/4
Suppose -369*h**2 + 644*h - 2*h**4 - 784 - 195*h**2 + 644*h + 62*h**3 = 0. Calculate h.
1, 2, 14
Let m(y) be the first derivative of -7*y**2/2 - 6*y - 7. Let r be m(-8). Factor -14*p**3 + r*p - 50*p + 4*p**2 + 10*p**4 + 0*p**3.
2*p**2*(p - 1)*(5*p - 2)
Let z(g) be the second derivative of 5/3*g**3 - 8*g + 0 + 5/2*g**2 - 1/6*g**6 - 1/2*g**5 + 0*g**4. Solve z(h) = 0.
-1, 1
Let r(v) = v**2 + v - 18. Let w = -6 - -10. Let s be r(w). Factor -1/2*o**3 + 0 + o**s + 0*o.
-o**2*(o - 2)/2
Suppose 3*h = 7*h. Factor h*j**2 + 19*j + 3*j**2 - 28*j.
3*j*(j - 3)
Let w(o) be the second derivative of 7*o**6/24 - 4*o**5/3 + 5*o**4/6 - 5*o**2 - 41*o. Let b(s) be the first derivative of w(s). Suppose b(h) = 0. What is h?
0, 2/7, 2
Let j(f) be the second derivative of 98/3*f**2 - 8*f + 28/9*f**3 + 0 + 1/9*f**4. Factor j(g).
4*(g + 7)**2/3
Factor -54*b**3 - 2*b**4 + 18*b**3 + 9*b**2 + 3*b**5 + 33*b**3 - 7*b**4.
3*b**2*(b - 3)*(b - 1)*(b + 1)
Let q(w) = 12*w**2 + 23*w - 35. Let i(o) = 5*o**2 + 12*o - 17. Let s(a) = -5*i(a) + 2*q(a). Factor s(v).
-(v - 1)*(v + 15)
Let v be 2/(-3) + (-52)/(-6). Suppose -3*m = -2*g - 9, -2*m - g - 2 = -3*m. Solve 10*s - m*s**2 - 5 - 5 - 3 + v = 0 for s.
1
Let d(s) be the first derivative of -s**5/20 + 33*s**4/16 - 24*s**3 + 32*s**2 - 417. Factor d(i).
-i*(i - 16)**2*(i - 1)/4
Let t(q) be the first derivative of 12*q**5/5 - 117*q**4/2 + 697*q**3/4 - 873*q**2/8 + 51*q/2 - 121. Find z, given that t(z) = 0.
1/4, 2, 17
Suppose 0 = u + u + 30. Let n be 44/10 + u/(-25). Let -7 + g - 2*g**2 + 4 - n + 7*g = 0. What is g?
2
Suppose q = -3*q - 12. Let b = q + -2. Let s(p) = -3*p**2 + 3*p + 11. Let n(c) = -4*c**2 + 2*c + 12. Let f(j) = b*n(j) + 6*s(j). Solve f(i) = 0.
-3, -1
Let v be 1/(1/(-12)*-3). Suppose 0*o - v*o + 12 = 0. Suppose 0 + s**2 + 7 + o*s - 5 = 0. Calculate s.
-2, -1
Let i(y) = y**2 + 10*y - 71. Let u be i(-15). Let 22/5*p**2 - 32/5*p**3 + 0 - 4/5*p + 14/5*p**u = 0. Calculate p.
0, 2/7, 1
Factor 2/9*n**4 - 2/9*n**2 + 0 + 0*n - 2/9*n**5 + 2/9*n**3.
-2*n**2*(n - 1)**2*(n + 1)/9
Let j(s) be the first derivative of 35 - 5*s - 56/15*s**3 + 4/5*s**4 + 13/2*s**2. Factor j(v).
(v - 1)*(4*v - 5)**2/5
Suppose 4*v + 527 = 3*l - 552, -5*l = 15. Let u = v + 1091/4. Find f, given that 0 + 3/8*f**3 - 9/8*f - u*f**2 = 0.
-1, 0, 3
Let y = 1123/2 + -560. Factor 0 + y*o - 9/4*o**2 + 3/4*o**4 + 0*o**3.
3*o*(o - 1)**2*(o + 2)/4
Let x = 1878/4495 + -16/899. Determine o, given that -x*o**3 - 56/15*o + 34/15*o**2 + 8/5 = 0.
2/3, 2, 3
Let -64*y + 4/3*y**5 + 30 - 32/3*y**2 + 92/3*y**3 + 38/3*y**4 = 0. What is y?
-5, -3, 1/2, 1
Let h(r) = -4*r**2 - 6*r + 8. Let b(g) = g**2 + g - 1. Let n(t) = 4*b(t) + 2*h(t). Find q such that n(q) = 0.
-3, 1
Let o be 4*-1 + (-5)/(-1) + 5. Let r(l) be the second derivative of 0*l**2 - 1/14*l**7 - 1/2*l**3 - 5*l + 2/5*l**o + 0 - 9/10*l**5 + l**4. Factor r(p).
-3*p*(p - 1)**4
Let l = 361707/35168 + 3/5024. Factor 2/7*x**4 + 4*x**3 + l + 24*x + 122/7*x**2.
2*(x + 1)**2*(x + 6)**2/7
Let g(b) be the first derivative of b**6/6 + 3*b**5/5 - b**4/4 - b**3 - 90. Find s such that g(s) = 0.
-3, -1, 0, 1
Suppose 3*w - 41 = 5*f - 10, 5*f = -w - 23. Suppose -3*b - w = -2*c - 0, c = 2*b. Suppose -19/3*t**3 - 1/3*t + 7/3*t**4 - 2/3 + 5*t**b = 0. Calculate t.
-2/7, 1
Suppose 553 = -15*s + 553. Factor 0*q - 1/6*q**2 - 1/2*q**3 + 0 + 2/3*q**5 + s*q**4.
q**2*(q - 1)*(2*q + 1)**2/6
Let k(c) be the third derivative of c**5/90 + c**4/9 - 7*c**3/3 - 6*c**2 - 6*c. Find v, given that k(v) = 0.
-7, 3
Suppose -3*l - 31 = -0*c - 4*c, 0 = 3*c - 3*l - 27. Let k(x) be the second derivative of -1/8*x**2 + 1/24*x**3 + 5/48*x**c + 0 + 3/80*x**5 - 3*x. Factor k(p).
(p + 1)**2*(3*p - 1)/4
Determine f, given that 5*f**5 + 0*f**5 + 60*f**3 - 9*f**5 - 144*f**2 + 8*f**4 = 0.
-4, 0, 3
Suppose 20*n = 8*n + 84. Find w, given that 19*w + 23*w - 22*w**2 + n*w**2 - 17*w = 0.
0, 5/3
Let t(r) be the second derivative of -r**8/23520 - r**7/2205 + r**6/2520 + r**5/105 - 3*r**4/2 + 16*r. Let u(h) be the third derivative of t(h). Factor u(j).
-2*(j - 1)*(j + 1)*(j + 4)/7
Suppose 2*i + 13*i - 45 = 0. Let l(t) be the second derivative of -t**2 + 3*t + t**i + 1/10*t**5 + 0 - 1/2*t**4. Factor l(v).
2*(v - 1)**3
Let k(l) = l**3 - 3*l**2 - 3*l. Let j be k(4). Suppose -20 - j = -2*b. Factor 2*s**3 + 4 - 2*s**3 - s**3 - 12*s + b*s**2 - 3*s**3.
-4*(s - 1)**3
Let v(x) be the second derivative of x**4/3 - 26*x**3/3 - 63*x. Let v(g) = 0. What is g?
0, 13
Let q(l) be the second derivative of l**6/165 - 4*l**5/55 - l**4/22 + 26*l**3/33 - 16*l**2/11 - l + 6. Let q(w) = 0. What is w?
-2, 1, 8
Suppose 0 = -2*w + 4*w - 4*p - 4, -w - 2*p + 10 = 0. Let x be w/(0 + 4 + -2). Factor -12/7*t**x - 2/7*t**4 - 26/7*t**2 - 8/7 - 24/7*t.
-2*(t + 1)**2*(t + 2)**2/7
Let q be (510/140)/(-17)*7/(-12). Let s(c) be the second derivative of 0 + 0*c**2 - q*c**4 + c + 3/4*c**3. Determine w, given that s(w) = 0.
0, 3
Let l(f) be the third derivative of 2*f**7/105 + f**6/5 + 4*f**5/5 + 4*f**4/3 + 4*f**2 - 41*f. Let l(h) = 0. Calculate h.
-2, 0
Let w(m) be the second derivative of -m**3/3 - 6*m. Let t(b) = -3*b**2 + 32*b + 5. Let a(h) = 2*t(h) + 18*w(h). Find x such that a(x) = 0.
-1/3, 5
Let s(x) = x**2 - 18*x - 13. Let j be s(19). Let k(w) be the first derivative of 20*w**3 + j*w - 27/4*w**4 - 1 - 39/2*w**2. Factor k(a).
-3*(a - 1)**2*(9*a - 2)
Let x(s) = -2*s**4 - 32*s**3 + 2*s**2 + 38*s - 3. Let b(q) = -q**4 - q**3 + q**2 - q + 1. Let t(g) = -3*b(g) - x(g). Let t(r) = 0. Calculate r.
-7, -1, 0, 1
What is s in 52/7*s**3 + 236/7*s - 96/7 - 188/7*s**2 - 4/7*s**4 = 0?
1, 3, 8
Let p be 4 - (-516)/(-64) - -4. Let u = 19/48 + p. Factor -2/3*l - 1/3 - u*l**2.
-(l + 1)**2/3
Let h(u) be the third derivative of 0*u - 135/16*u**4 + 0 - 25/16*u**6 + 27/4*u**3 + 45/8*u**5 - 7*u**2. Determine v, given that h(v) = 0.
3/5
Let y(j) be the third derivative of j**8/1344 - j**7/840 - j**6/80 + j**5/60 + j**4/12 + 11*j**2 - j. Solve y(k) = 0.
-2, -1, 0, 2
Factor -38/7*g + 2/7*g**2 - 40/7.
2*(g - 20)*(g + 1)/7
Suppose 0 = 3*d - 15, 2*d + 2*d = 3*j + 2. Let a be (0/j - 4)/(-1 - 1). Determine x so that 2/7*x - 4/7 + 2/7*x**a = 0.
-2, 1
Factor -1/2*o - 1/4*o**3 + 3/4*o**2 + 0.
-o*(o - 2)*(o - 1)/4
Let j(m) be the second derivative of -m**4/12 - 25*m**3/6 + 13*m**2 + 119*m + 1. Find t, given that 