 1/3*c**4 + g*c**2. Factor j(l).
2*l*(l - 1)**2
Let i(a) be the first derivative of -2*a**5/25 + 38*a**3/15 + 6*a**2 + 9288. Factor i(o).
-2*o*(o - 5)*(o + 2)*(o + 3)/5
Let d(s) be the first derivative of -4*s**3/3 - 42*s**2 + 400*s - 9749. Factor d(p).
-4*(p - 4)*(p + 25)
Let f(v) be the second derivative of -v**7/2520 - 11*v**6/240 - 4*v**5/15 - 53*v**4/12 + 70*v. Let h(s) be the third derivative of f(s). Factor h(k).
-(k + 1)*(k + 32)
Let h = -946 + 949. Let r = 5 - h. Factor 14/3 + 23/3*w + w**r.
(w + 7)*(3*w + 2)/3
Let k(x) = -7*x**5 + 31*x**4 - 19*x**3 - 135*x**2 - 84*x. Let m(q) = -2*q**5 + q**4 + q**3 - q**2 - q. Let p(h) = -k(h) + 3*m(h). Suppose p(c) = 0. Calculate c.
-1, 0, 3, 27
Let k(o) = -o**3 + 7*o**2 - 4*o - 10. Let h be k(6). Factor 30*t**2 - 54*t**h + 48 + t**5 - 8*t**3 - 59*t**4 + 16*t + 62*t**4.
(t - 2)**2*(t + 2)**2*(t + 3)
Let q be ((-1)/((-3)/(-1842)))/(2 + 0). Let x = q - -308. Factor 1/4*n**2 - x + 0*n.
(n - 2)*(n + 2)/4
Suppose 2*k + 46 - 36 = 0, -15 = -5*z + k. Let w(j) be the second derivative of 28*j + 0 + 1/2*j**3 + 1/24*j**4 + 0*j**z. Let w(f) = 0. What is f?
-6, 0
Let v be -2 + ((-36)/42)/(4/(-7)) - (-16252)/2868. Find w, given that -1/6*w**2 - v*w - 5 = 0.
-30, -1
Let 32542*s**3 + 558*s + 238 + 97*s**2 - 32544*s**3 + 137*s**2 - 84*s = 0. What is s?
-1, 119
Factor 491*u + 9728*u**4 + 6963*u**4 - 15375*u**3 + 1012*u**4 - 38188*u**2 - 2574*u**4 - 2 + 8177*u**2.
(u - 2)*(u + 1)*(123*u - 1)**2
Let o = -1663 - -1161. Let k = o + 506. Find b, given that 0*b**2 + b - b**3 - 1/2 + 1/2*b**k = 0.
-1, 1
Let z(q) be the third derivative of 6*q**2 + 3/10*q**3 - 12*q + 3/200*q**6 + 0 - 11/40*q**4 + 1/20*q**5. Factor z(n).
3*(n - 1)*(n + 3)*(3*n - 1)/5
Suppose 16*y = 12*y + 3*l + 27, -5*l - 17 = -2*y. Let m(g) be the second derivative of -11*g + 0 + 2/15*g**y + g**4 + 0*g**2 - 4/5*g**5 + 0*g**3. Factor m(q).
4*q**2*(q - 3)*(q - 1)
Let n(u) be the third derivative of -46*u**2 - 1/20*u**5 - 13/8*u**4 + 7*u**3 + u + 0. Solve n(c) = 0 for c.
-14, 1
Let u(o) be the second derivative of 26*o**6/105 - 34*o**5/35 + 29*o**4/21 - 16*o**3/21 - 39*o - 13. Factor u(s).
4*s*(s - 1)**2*(13*s - 8)/7
Let u = -372/13 - -2279/91. Let x = u - -188/35. What is l in 32/5*l**3 - x*l**5 + 3*l**4 - 16/5 - 24/5*l**2 - 48/5*l = 0?
-1, -2/3, 2
Suppose -b = 3*b - 28. Suppose b*o = -o + 24. Factor 22*g**2 + 3*g**4 + 12 + 23*g**2 - 30*g - 9*g - 25*g**o + 4*g**3.
3*(g - 4)*(g - 1)**3
Let x be 11 + -6 - (-7 + (-16)/2). Let b be (-1)/((-96)/x)*8. Factor b - 4/3*s - 1/3*s**2.
-(s - 1)*(s + 5)/3
What is g in 2/3*g**4 + 26/3*g**3 - 32*g**2 + 128/3 + 8/3*g = 0?
-16, -1, 2
Let q(s) = 11*s - 3*s - 4*s**2 + 1 + 6. Suppose 0 = 5*y - h - 16 + 19, 0 = -5*y + 2*h - 1. Let j(t) = -t**2 + t + 1. Let r(b) = y*q(b) + 5*j(b). Factor r(i).
-(i + 1)*(i + 2)
Suppose -91 - 59 = -60*d + 30. Suppose 2 = o - 3*c, 2*c = 4*o - 12 + 4. Factor -1/2*u + 1/2*u**d + o - 2*u**2.
(u - 4)*(u - 1)*(u + 1)/2
Factor -439/5*r**2 - 4/5 + 176*r.
-(r - 2)*(439*r - 2)/5
Let k(j) = 36*j**2 + 3512*j + 42. Let p(n) = -13*n**2 - 1171*n - 15. Let y(v) = 5*k(v) + 14*p(v). Factor y(o).
-2*o*(o - 583)
Let h(m) be the third derivative of m**6/120 + m**5/60 - m**4/24 - m**3/6 - m**2 + 3. Let k(j) = 12*j**2 + 36*j - 48. Let s(l) = 2*h(l) + 2*k(l). Factor s(b).
2*(b - 1)*(b + 7)**2
Let s(x) = 3*x**2 - 9*x + 6. Let u be s(2). Suppose -5*n + 7*v - 6*v = -8, u = -5*n - 4*v + 18. Let 0 + 0*o - 26/3*o**3 + 8/3*o**4 + n*o**2 = 0. Calculate o.
0, 1/4, 3
Let v(z) be the second derivative of -z**5 + 55 - 1/10*z**6 - 13/6*z**4 + 5/2*z**2 + z - 2/3*z**3. Let v(j) = 0. Calculate j.
-5, -1, 1/3
Let k(c) be the third derivative of c**8/4480 - c**7/280 + 67*c**4/12 + c**3/6 + 29*c**2 - 2. Let n(h) be the second derivative of k(h). Solve n(j) = 0 for j.
0, 6
Let v(r) be the second derivative of -3*r**5/20 + 25*r**4/4 - 107*r**3/2 - 399*r**2/2 - 4*r + 2507. Factor v(t).
-3*(t - 19)*(t - 7)*(t + 1)
Let u(r) be the second derivative of -r**6/180 + r**5/20 - r**4/6 - 17*r**3 - 89*r. Let x(g) be the second derivative of u(g). What is z in x(z) = 0?
1, 2
Determine y so that 24 + 5*y + 1/6*y**2 = 0.
-24, -6
Let k(l) be the second derivative of -7/48*l**4 + 1/12*l**3 - 19*l - 6 + 0*l**2. What is v in k(v) = 0?
0, 2/7
Suppose -94/11*y - 408/11 + 2/11*y**2 = 0. Calculate y.
-4, 51
Let i(c) be the first derivative of -c**5/30 - 4*c**4/3 + 263*c**3/18 - 65*c**2/2 + 4904. Factor i(j).
-j*(j - 5)*(j - 2)*(j + 39)/6
Let m(q) = 2*q**2 + 146*q + 1265. Let w be m(-63). Let a(n) be the third derivative of 0*n + n**2 + 0*n**3 + 0 - 1/72*n**w + 0*n**4 - 1/144*n**6. Factor a(s).
-5*s**2*(s + 1)/6
Suppose 5*p - 33 = -2*b - 7, 0 = 4*b - 4*p - 24. Find v, given that 28 + v**4 - b*v**2 + 1 - 13 = 0.
-2, 2
Let u(a) be the second derivative of -a**5/4 - 50*a**4/3 - 130*a**3/3 + 20280*a**2 + 50*a - 14. Factor u(t).
-5*(t - 12)*(t + 26)**2
Factor -132*h + 2*h**2 - 204*h - 196*h.
2*h*(h - 266)
Let f = -75782/55 - -6892/5. Factor 4056/11 + 3744/11*j - 306/11*j**2 + f*j**3.
6*(j - 26)**2*(j + 1)/11
Let y = -103 + 57. Let x be (-171420)/(-3450) + 4/y. Let 32/5 + 18*p**5 + 384/5*p**2 - 192/5*p - 66/5*p**4 - x*p**3 = 0. Calculate p.
-2, 2/5, 2/3, 1
Suppose -468*m - 1022 = -979*m. Determine w so that 4/5*w**4 - 42/5*w**2 + 38/5*w + m*w**3 - 2 = 0.
-5, 1/2, 1
Let d = -7577/6 + 7579/6. Solve -d*y**2 - 5*y - 14/3 = 0 for y.
-14, -1
Let l(r) = -7*r**3 + r**2 + 4*r. Let c(x) = 64*x**3 + 382*x**2 - 821*x + 393. Let p(n) = -4*c(n) - 36*l(n). Solve p(u) = 0 for u.
-393, 1
Let u(h) be the first derivative of 0*h - 80 - 2/3*h**3 + 0*h**2 + 1/2*h**4. Find f, given that u(f) = 0.
0, 1
Let x(a) be the first derivative of -a**4/2 + 18*a**3 + a**2 - 54*a + 459. Factor x(n).
-2*(n - 27)*(n - 1)*(n + 1)
Let c = -1866 + 2900. Find w, given that -784 + c*w**2 - 112*w - 523*w**2 - 515*w**2 = 0.
-14
Solve -3/5*b**2 + 12234/5*b - 12472563/5 = 0 for b.
2039
Let n(i) = 2*i**2 - 140*i - 142. Let l(t) = t**2 - 142*t - 143. Suppose -3*p - 30 = 5*x, -2*x + 3*x = p + 2. Let o(s) = x*n(s) + 2*l(s). Factor o(u).
-4*(u - 35)*(u + 1)
Suppose -94 = 3*n + 245. Let f = n + 139. Solve 16*u**2 + 5*u + 16*u**3 + 11*u - f*u**3 - 18*u**3 + 8*u**4 = 0.
-1/2, 0, 2
Let j(k) be the first derivative of 0*k**2 + 1/2*k**4 + 99 + 0*k - 112/3*k**3. Factor j(g).
2*g**2*(g - 56)
Find n, given that -494*n - 274*n - 108 + 76123*n**2 - 147*n**3 - 77530*n**2 = 0.
-9, -2/7
Let j(k) be the second derivative of 0 - 82/15*k**3 - 1/30*k**4 + 32*k - 1681/5*k**2. Suppose j(h) = 0. What is h?
-41
Factor -169/2*t - 1/4*t**2 - 28561/4.
-(t + 169)**2/4
Solve -65/4*a**2 - 175*a + 165/4 = 0.
-11, 3/13
Find u such that -51*u - u**5 + 5*u**4 - 437*u**2 - 9*u + 839*u**2 - 65*u**3 - 527*u**2 + 6*u**5 = 0.
-3, -1, 0, 4
Let l(r) be the third derivative of 2/55*r**5 + 1/33*r**4 - 3/220*r**6 + 0*r**3 + 0*r - 1/165*r**7 + 0 + 115*r**2. Suppose l(a) = 0. What is a?
-2, -2/7, 0, 1
Let n(a) be the second derivative of -a**5/60 + 2*a**4/9 - 2*a**3/3 - 3*a + 157. Find m, given that n(m) = 0.
0, 2, 6
Let c = 155 + -151. Factor s**5 + s**5 + 336*s**c + 24*s**3 + 6*s - 324*s**4 + 20*s**2.
2*s*(s + 1)**3*(s + 3)
Factor 1278*u + 3658*u - 448 - 13640*u**2 - 5101*u**3 + 5343*u**3.
2*(u - 56)*(11*u - 2)**2
Let u be (-123)/(-432) + ((-10)/9)/5. Let d(p) be the third derivative of 1/96*p**4 + 1/480*p**5 + 0 - u*p**3 + 0*p + 7*p**2. Suppose d(w) = 0. What is w?
-3, 1
Suppose -1243*z**2 + 471*z**3 + 4736*z**4 - 413*z**2 - 17*z**5 + 1879*z**4 + 5*z**5 + 4500*z**3 = 0. Calculate z.
-1, 0, 1/4, 552
Let n(k) be the third derivative of 5*k**8/1344 + 5*k**7/21 + 245*k**6/96 + 235*k**5/24 + 55*k**4/4 + 3*k**2 + 25*k. Let n(u) = 0. What is u?
-33, -4, -2, -1, 0
Let q = -130 - -135. Find p, given that 18733*p**3 - 18733*p**3 - 15*p**4 + q*p**5 + 20*p**2 = 0.
-1, 0, 2
Suppose -2*p + 4*p = -2*j + 8, -3*p - 4*j + 7 = 0. Suppose 12 = -7*l + p*l. Determine a, given that -2*a**5 + 8*a**3 + 0*a**2 - l*a - 3*a**2 - a**2 + 4 = 0.
-2, -1, 1
Suppose -16*u = -14*u - 4. Factor 13*w**2 + 177*w - 14*w**u + 16 - 171*w.
-(w - 8)*(w + 2)
Let u(q) = 4*q**3 - 31*q**2 + 52*q + 41. Let t(f) = f**2 - 3. Let v(b) = t(b) - u(b). Let s(h) be the first derivative of v(h). Factor s(y).
-4*(y - 1)*(3*y - 13)
Let a(m) = -m**3 + m**2 - 5*m - 10. Let p be ((42/12)/(-7))/((-1)/12). Let b(l) = 