/5 + 42/5*x + 3/5*x**2.
3*(x + 1)*(x + 13)/5
Let n = 120 - 116. Let v(o) = -o - 1. Let a be v(-6). Factor 5*z**a + 12*z**4 + 19*z**n - 26*z**4.
5*z**4*(z + 1)
Factor 0 - 1/5*t**3 + 4/5*t + 3/5*t**2.
-t*(t - 4)*(t + 1)/5
Let g(m) = -2*m**2 - 3*m + 14. Let b be g(-5). Let i be 2/(-8) - b/84. Solve i*j + 0 + 1/5*j**4 + 1/5*j**2 + 2/5*j**3 = 0 for j.
-1, 0
Let k(w) = 2*w**3 - 2*w**2 - 2*w + 3. Let m be k(3). Factor -15 + m + 4*q + q**2 - q - 16.
(q + 1)*(q + 2)
Let l be (-12)/(-702)*(-1 - -7). Let t(b) be the second derivative of 1/13*b**2 + 0 - 6*b + 1/13*b**4 + l*b**3 + 1/195*b**6 + 2/65*b**5. Factor t(j).
2*(j + 1)**4/13
Let n be (56/441)/(4/18). Factor -8/7*x**2 - 12/7*x**5 + n*x**3 + 0 + 16/7*x**4 + 0*x.
-4*x**2*(x - 1)**2*(3*x + 2)/7
Find j such that -4*j**2 + j**2 + 15*j - 83*j - j**2 + 0*j = 0.
-17, 0
Determine s, given that 2/13*s**2 + 8/13*s - 2/13*s**3 - 8/13 = 0.
-2, 1, 2
Let r(b) be the first derivative of 8/33*b**3 - 2/11*b**4 + 0*b + 0*b**2 + 2/55*b**5 + 11. Determine a, given that r(a) = 0.
0, 2
Let m(a) be the third derivative of 1/120*a**6 - 13*a**2 - 1/9*a**3 + 0 + 0*a + 1/45*a**5 - 1/72*a**4. Determine b so that m(b) = 0.
-1, 2/3
Let b = -269 - -273. Let o(v) be the third derivative of -v**2 + 0*v - 1/240*v**5 - 1/24*v**b + 0 - 1/6*v**3. Factor o(n).
-(n + 2)**2/4
Suppose 4*l - 2*x = 9*l - 26, -3*x = 3*l - 12. Let q be l - ((-468)/(-126) - (-4)/14). Factor 0 - 1/3*f**4 - 5/3*f**3 - f**q + 3*f.
-f*(f - 1)*(f + 3)**2/3
Suppose -2*r - 1 = 3*d, -5*d - r = -10 - 0. Factor 12*n - 19 + d - 7*n**2 + 10*n**2 + n**2.
4*(n - 1)*(n + 4)
Determine x so that -21*x - 60*x**3 + 4*x**4 + 19*x - 24*x + 108*x**2 - 26*x = 0.
0, 1, 13
Let i be -1*8/(1*-160). Let y(o) be the second derivative of 0 + 1/5*o**3 - i*o**4 - 27/100*o**5 + 13/50*o**6 - 6*o + 0*o**2 - 1/14*o**7. What is j in y(j) = 0?
-2/5, 0, 1
Let v(i) be the second derivative of i**6/240 - i**5/40 - i**4/2 - 7*i**3/3 - 5*i**2 + 6*i + 2. Solve v(j) = 0 for j.
-2, 10
Let t(r) be the third derivative of r**7/105 + 7*r**6/15 + 49*r**5/5 + 343*r**4/3 + 2401*r**3/3 + 87*r**2. Factor t(b).
2*(b + 7)**4
Suppose -39 = -3*j - 15. Suppose 2*h + 0*f = 4*f - j, 3*f = 9. Solve -h*l - 4*l**2 + 10*l - 2*l + 7*l**2 = 0 for l.
-2, 0
Let o = 559 - 552. Let s(z) be the second derivative of 0*z**2 + 1/6*z**4 - 1/20*z**5 + 0 - o*z + 0*z**3. Determine k so that s(k) = 0.
0, 2
Suppose t - 3673 = -4*t - 2*z, 3*t + 4*z - 2201 = 0. Factor -5*g**2 + 25*g**2 + 80*g**3 - 175*g**4 - 3*g + 3*g - t*g**5.
-5*g**2*(3*g - 1)*(7*g + 2)**2
Let t(n) = 7*n**5 + 53*n**4 + 214*n**3 + 303*n**2 + 69*n + 3. Let g(r) = -r**5 + r**3 - 2*r - 1. Let b(f) = 3*g(f) + t(f). Find q, given that b(q) = 0.
-7, -3, -1/4, 0
Let f(d) be the first derivative of 4*d**5/35 + 9*d**4/7 + 116*d**3/21 + 78*d**2/7 + 72*d/7 - 53. Suppose f(t) = 0. What is t?
-3, -2, -1
Let a(c) = -4 + 5 - c**2 + 2. Let v(p) = p - 1. Let x = -2 + 4. Let r(z) = x*a(z) + 6*v(z). Factor r(g).
-2*g*(g - 3)
Let j(u) be the second derivative of -1/150*u**6 - 2/5*u**2 - 2/15*u**3 + 1/50*u**5 + 0 + 1/20*u**4 + 21*u. Factor j(p).
-(p - 2)**2*(p + 1)**2/5
Let n(o) be the first derivative of -o**4/4 + 10*o**3/3 - 5*o**2 + 9*o - 4. Let r be n(9). Factor 2/3*l**2 + 2/9*l**3 + 4/9*l + r.
2*l*(l + 1)*(l + 2)/9
Let z(q) = 9*q**4 - 4*q**3 - 9*q**2 + 6*q. Let g(h) = h**3. Let a(y) = 2*g(y) - z(y). Solve a(p) = 0.
-1, 0, 2/3, 1
Let p(z) = 3*z**2 + 17*z + 41. Let b(w) = -3*w**2 - 18*w - 42. Let x(d) = 5*b(d) + 6*p(d). Let g be x(-8). Factor 525/2*q**2 + 18 - 147/2*q**3 - g*q.
-3*(q - 3)*(7*q - 2)**2/2
Let k(i) be the second derivative of -i**6/480 - i**5/32 + 4*i**3/3 + 4*i. Let m(l) be the second derivative of k(l). Find q such that m(q) = 0.
-5, 0
Let q(g) be the second derivative of g**5/4 + 5*g**4/4 + 5*g**3/3 - 61*g + 2. Solve q(y) = 0.
-2, -1, 0
Let y = 12 - 20. Let c(m) = -m**2 - 9*m. Let z be c(y). Factor -8*x**2 + z*x + 7*x**3 - 11*x**3 + 6*x**3.
2*x*(x - 2)**2
Let u(i) = -i**2 + 15*i - 39. Let r be u(11). Suppose 4*s + 21 = 4*g + 1, -5*g - s - r = 0. Factor -6/5*t + g + 3*t**2 - 9/5*t**3.
-3*t*(t - 1)*(3*t - 2)/5
Let d = -189 + 121. Let i = d - -70. Find p such that 1/7 - 3/7*p**i - 2/7*p = 0.
-1, 1/3
Let x(l) = 8*l - 6. Let d be x(1). Let t(m) be the second derivative of 1/2*m**2 + 0 - 1/30*m**6 + 0*m**4 - 1/3*m**3 + 1/10*m**5 + d*m. Factor t(s).
-(s - 1)**3*(s + 1)
Let h be (-1)/(-3) - (3939/45 + 1). Let r = 89 + h. Find m, given that -4/5*m**4 + 4/5*m**2 + 0 + 4/5*m**3 - r*m = 0.
-1, 0, 1
Let b = 1 - 5. Let v(h) = h**3 - 1. Let m(n) = -18*n**3 + 18*n**2 + 24*n - 4. Let j(o) = b*v(o) - m(o). Determine c so that j(c) = 0.
-1, 2/7, 2
Let f(i) be the third derivative of -i**5/60 + 73*i**4/12 - 5329*i**3/6 - 308*i**2. Solve f(g) = 0.
73
Let b(n) be the first derivative of 0*n**2 - 4/3*n**3 + 0*n - 6. Determine c so that b(c) = 0.
0
Let r(p) = p**4 - p**2 + 3*p. Let u(x) = -6*x**4 + 90*x**3 - 404*x**2 - 3*x. Let h(w) = r(w) + u(w). Factor h(g).
-5*g**2*(g - 9)**2
Let f(u) = -3*u**4 - 8*u**3 + 4*u**2 + 25*u + 21. Let z(n) = -4*n**4 - 8*n**3 + 6*n**2 + 26*n + 22. Let d(x) = -6*f(x) + 5*z(x). Factor d(r).
-2*(r - 4)*(r - 2)*(r + 1)**2
Let k(j) = -17*j**2 - 120*j - 147. Let q(t) = -3*t**2 - 24*t - 29. Let x(s) = -6*k(s) + 33*q(s). Suppose x(c) = 0. Calculate c.
-1, 25
Factor -78 - 47*j**2 + 93*j**2 - 43*j**2 - 33*j.
3*(j - 13)*(j + 2)
Let i(h) be the third derivative of -h**5/12 + 25*h**4/6 - 250*h**3/3 + 30*h**2 - 4. Factor i(q).
-5*(q - 10)**2
Let d be (-9)/(-72) + (-27)/(-8) + (-1)/(-2). Determine q, given that 0 - 2*q**3 + 2/3*q - 7/3*q**2 + 4/3*q**5 + 7/3*q**d = 0.
-2, -1, 0, 1/4, 1
Let f be -2*(7 - -4) + -3. Let c = -23 - f. Suppose 14*v**c - 3*v**4 - 8 - 3*v**4 - 26*v - 18*v**5 + 45*v**3 + 10*v - 11*v**3 = 0. Calculate v.
-1, -2/3, 1
Suppose -a = o + 121, -247 = 4*a - 2*a - 3*o. Let b = a - -124. Let 0 + 5*t**b - 15/2*t + 5/2*t**3 = 0. What is t?
-3, 0, 1
Let -27*j + j**3 + 0*j**3 - 6*j**3 - 9*j**2 - 18*j**2 + 27 = 0. Calculate j.
-3, 3/5
Let j = -17 - -21. Factor 0 + 10*t**4 - 3*t**2 - t - 11*t**4 + 2*t**j + 2 + t**3.
(t - 1)**2*(t + 1)*(t + 2)
Let f(a) = 3*a**3 - 66*a**2 - 51*a + 120. Let m(o) = 2*o**3 - 66*o**2 - 52*o + 121. Let u(j) = -5*f(j) + 6*m(j). Determine r so that u(r) = 0.
-21, -2, 1
Let j(d) be the third derivative of d**5/210 + 17*d**4/42 + 64*d**3/21 - 5*d**2 + 13. Factor j(b).
2*(b + 2)*(b + 32)/7
Suppose -14*b - 321 = -349. Factor 1 + 1/3*r**b + 4/3*r.
(r + 1)*(r + 3)/3
Let d(j) = -5 - 4*j + 3 - 4*j. Let a(p) = 7*p - 13*p - p**2 - 1 + 7*p. Let c(x) = -2*a(x) - d(x). Find s, given that c(s) = 0.
-2, -1
Let l(k) be the first derivative of 56/3*k**3 + 16*k - 3 + 1/6*k**6 + 8*k**4 + 9/5*k**5 + 24*k**2. Let l(b) = 0. Calculate b.
-2, -1
Let u(i) = 15*i**2 - 383*i - 412. Let w(r) = 10*r**2 - 255*r - 275. Let b(o) = 5*u(o) - 7*w(o). Factor b(a).
5*(a - 27)*(a + 1)
Let o be (-4)/(-18) + (-296)/36. Let j be (-2 + (-53)/(-26))*(-32)/o. Suppose 24/13*m - 2*m**2 + 12/13*m**3 - 8/13 - j*m**4 = 0. Calculate m.
1, 2
Let n(b) be the first derivative of 3*b**5/5 + 31*b**4/4 - 97*b**3/3 + 89*b**2/2 - 26*b + 410. Let n(w) = 0. What is w?
-13, 2/3, 1
Factor 41*b**5 + b + 13*b**3 - 9*b - 36*b**5 - 22*b + 35*b**2 + 12*b**3 - 35*b**4.
5*b*(b - 6)*(b - 1)**2*(b + 1)
Let z(g) be the second derivative of 3*g**7/70 - g**6/20 + g**5/60 - 5*g**2/2 - 10*g. Let b(y) be the first derivative of z(y). Let b(q) = 0. What is q?
0, 1/3
Let o(i) = -59*i - 56. Let v(s) = s**2 - 2*s. Let g(k) = 5*o(k) - 5*v(k). Factor g(w).
-5*(w + 1)*(w + 56)
Let c(z) be the first derivative of -3*z**5/5 + 11*z**3 - 27*z**2 + 24*z + 83. Determine l so that c(l) = 0.
-4, 1, 2
Let a(v) be the first derivative of 2/5*v**5 + 9/10*v**4 + 1/15*v**6 + 14/15*v**3 + 0*v - 1 + 2/5*v**2. What is u in a(u) = 0?
-2, -1, 0
Let s = -6/329 - -689/19740. Let n(h) be the second derivative of -1/10*h**2 + 0 - h - s*h**4 + 1/15*h**3. Let n(r) = 0. What is r?
1
Let s(l) = -1. Let o(n) = -21*n**3 + 1329*n**2 - 378*n - 15. Let h(g) = o(g) - 15*s(g). Factor h(k).
-3*k*(k - 63)*(7*k - 2)
Let d(a) be the second derivative of a**4/16 - 37*a**3/8 - 2*a - 504. What is s in d(s) = 0?
0, 37
Let w(y) be the second derivative of y**6/1260 + y**5/420 - y**4/42 - 9*y**3/2 + 22*y. Let h(o) be the second derivative of w(o). Determine u so that h(u) =