 + 3*l - 3*l**w - 33/2*l**4 = 0. Calculate l.
-1, -2/11, 0, 1
Let s(a) = a**3 - 4*a**2 + 3*a + 3. Let w be s(3). Suppose -11 = -w*j - 2. Factor -41 + 0*i**j - 9*i**2 - 3*i**3 + 53.
-3*(i - 1)*(i + 2)**2
Let r(y) be the first derivative of 33 - 12*y - 2*y**2 - 1/9*y**3. Suppose r(j) = 0. Calculate j.
-6
Suppose 2*z + 30 = q - 29, 2*q - 121 = z. Let d = q - 58. Find n, given that -17*n - 2*n**d + 13*n - 4 + 10*n = 0.
-2, 1
Let c(w) be the first derivative of -12/5*w + 14 + 7/10*w**2 - 1/15*w**3. Let c(i) = 0. What is i?
3, 4
Let f = -1181 - -1716. Factor -532*u + u**2 - 1 - 3 + f*u.
(u - 1)*(u + 4)
Let t(q) be the first derivative of -q**4/6 - 7*q**3 - 130*q + 20. Let j(c) be the first derivative of t(c). Factor j(y).
-2*y*(y + 21)
Let t = 125 - 121. Suppose t*d - c - 5 = 0, -d + 6*d = -5*c + 25. Determine o, given that 3/8 + 3/8*o**4 - 3/8*o - 3/8*o**5 - 3/4*o**d + 3/4*o**3 = 0.
-1, 1
Let w(n) be the second derivative of -3*n**4/4 + 10603*n**3/2 + 10605*n**2 - 14312*n. Factor w(t).
-3*(t - 3535)*(3*t + 2)
Let r(w) be the second derivative of 2*w**6/15 - 667*w**5/5 + 49725*w**4 - 22759906*w**3/3 + 86350888*w**2 + 45*w + 17. Factor r(q).
4*(q - 221)**3*(q - 4)
Suppose -47*n - 74*n + 552 = 17*n. Factor 80/3*o**n + 0 + 280/3*o**3 + 5*o + 125/3*o**2.
5*o*(o + 3)*(4*o + 1)**2/3
Determine g so that -3/7*g**4 - 3*g**2 + 18/7*g**3 - 18/7*g + 24/7 = 0.
-1, 1, 2, 4
Let m(s) be the third derivative of 2*s**7/105 + 17*s**6/5 + 99*s**5/5 - 2*s**4/3 - 264*s**3 - 13*s**2 - 51. Factor m(z).
4*(z - 1)*(z + 2)**2*(z + 99)
Suppose -7*y + 3*y = -4*y - 135*y + 540. What is f in -40/3*f + y*f**3 + 0 + 4/3*f**2 = 0?
-2, 0, 5/3
Let r = 795 - 195. Let -r*v**3 + 3 - 2*v**5 + 3*v**4 - 3 + 599*v**3 = 0. What is v?
0, 1/2, 1
Let z = 253 - 251. Factor 12*y**z - 9*y**2 + 20*y + 2*y**2 - 4*y**2 - 44.
(y - 2)*(y + 22)
Let j(i) be the first derivative of i**7/210 + i**6/90 - i**5/6 + i**4/2 + 20*i**3/3 - 39. Let n(b) be the third derivative of j(b). Factor n(z).
4*(z - 1)**2*(z + 3)
Let l(t) be the second derivative of t**5/180 + 43*t**4/36 + 1849*t**3/18 + 35*t**2 - 3*t - 65. Let n(c) be the first derivative of l(c). Factor n(u).
(u + 43)**2/3
Factor 1/9*f**3 + 2/3*f**2 - 16/9*f + 0.
f*(f - 2)*(f + 8)/9
Let v(l) be the third derivative of l**5/100 - 2149*l**4/20 + 4618201*l**3/10 - 10*l**2 + 563. Factor v(r).
3*(r - 2149)**2/5
Let z be (-4)/(-170) + 669678/1905360. Factor -9/8*v + 3/4*v**3 + 3/4*v**2 + z*v**5 + 3/8 - 9/8*v**4.
3*(v - 1)**4*(v + 1)/8
Let x = 642569 + -642566. Factor 100/3*y**2 + 2/3*y**x + 448*y + 768.
2*(y + 2)*(y + 24)**2/3
Let b(q) be the third derivative of -q**7/525 + 3*q**6/100 - 23*q**5/150 + q**4/4 + 101*q**2 - 3*q + 2. Factor b(t).
-2*t*(t - 5)*(t - 3)*(t - 1)/5
Let h = 43388/3 + -14456. Suppose -h*r**2 + 0 + 2*r**3 - 16/3*r - 2/3*r**5 + 8/3*r**4 = 0. Calculate r.
-1, 0, 2, 4
Let u(z) = 40*z**2 + 3*z + 2. Let a be u(-1). Factor -27*h**2 - 7*h + 15*h**2 + a*h - 20.
-4*(h - 1)*(3*h - 5)
Let k = -193821 - -193823. Solve 52/7*n**2 + 20/7 - k*n**3 + 86/7*n = 0.
-1, -2/7, 5
Let h be (-12)/8 - (-9)/2. Factor 8*y + y + 11*y**2 + h*y**3 - y**5 - 4*y**4 - 3*y + y**4 + 0*y.
-y*(y - 2)*(y + 1)**2*(y + 3)
Let g be (2/(-1))/(16/(-9504)*33). Factor -6*d - g - 1/4*d**2.
-(d + 12)**2/4
Suppose 188*l = 184*l - 136. Let d be (-10)/(-25) - l/(-85). Solve d + 4/3*m**2 + m**4 + 0*m + 5/3*m**5 - 4*m**3 = 0.
-2, 0, 2/5, 1
Let i(u) = -24*u**2 + 226*u + 261. Let y(k) = -k**3 + 13*k**2 + 3*k. Let a(q) = -3*i(q) + 3*y(q). What is c in a(c) = 0?
-1, 9, 29
Suppose -40*k + 36*k = 4. Let g be (20/45)/(k - 76/(-36)). Factor -8/5*l + 0 + g*l**2.
2*l*(l - 4)/5
Determine c so that -21*c**3 - 2326 - 2246 + 918*c**2 - 753*c**2 - 8214*c**2 - 9689*c - 8611*c = 0.
-381, -2, -2/7
Suppose -38/5*l - 8 + 9/5*l**2 + 1/5*l**4 + 8/5*l**3 = 0. What is l?
-5, -4, -1, 2
Determine r, given that 0 + 116/3*r - 4/3*r**2 + 1/3*r**4 - 29/3*r**3 = 0.
-2, 0, 2, 29
What is k in -1/2*k**4 - 15/2*k**3 - 7*k**2 + 0*k + 0 = 0?
-14, -1, 0
Let g(i) be the second derivative of 2*i**7/147 + 2*i**6/21 + 6*i**5/35 - 4*i**4/21 - 16*i**3/21 + i - 1059. Factor g(n).
4*n*(n - 1)*(n + 2)**3/7
Solve -94*g + 106 - 134 - 23*g - 92 + 3*g**2 = 0.
-1, 40
Let v(n) be the first derivative of 284/33*n**3 + 56 + 60/11*n**2 + 65/22*n**4 - 60/11*n**5 - 125/33*n**6 + 16/11*n. Find t, given that v(t) = 0.
-1, -2/5, 1
Let w = 6109 + -6078. Let j(v) be the third derivative of -1/75*v**5 + 0*v - 1/60*v**6 + 0 + 1/12*v**4 + w*v**2 + 2/15*v**3. Determine p, given that j(p) = 0.
-1, -2/5, 1
Let k be (3 + -6 + (-253)/(-69))/((-6)/(-27)). Find c such that 0*c + 2/5*c**k + 0 - 4/5*c**2 + 2/5*c**4 = 0.
-2, 0, 1
Let l(g) be the third derivative of 0 + 25*g - 1/588*g**8 - 2/147*g**7 - 4/105*g**5 - 4/105*g**6 + 0*g**4 + 0*g**3 - g**2. Factor l(b).
-4*b**2*(b + 1)*(b + 2)**2/7
Let p(h) = h**3 - 2657*h**2 - 2349675*h - 693154123. Let y(z) = 2*z**3 - 2658*z**2 - 2349675*z - 693154122. Let r(l) = 6*p(l) - 4*y(l). What is x in r(x) = 0?
-885
Let g(n) = -n - 5. Let p be g(-8). Suppose 10 = 5*k - 10. Factor k*w**4 + 3*w**2 - 2*w**3 - 4*w**5 + 6*w**p - 7*w**2.
-4*w**2*(w - 1)**2*(w + 1)
Let a(c) = -4*c**3 + 16*c**2 - 6*c - 6. Let r = -369 - -368. Let l(n) = -n**3 + 2*n**2 - n - 1. Let g(x) = r*a(x) + 6*l(x). Factor g(z).
-2*z**2*(z + 2)
Let b(z) = 4*z**2 - 96*z + 6. Let i(j) = 5*j**2 - 100*j + 7. Let k(c) = -7*b(c) + 6*i(c). Solve k(s) = 0 for s.
-36, 0
Let t(m) = m**4 - 2*m**3 - m**2 + m. Let u(y) = 3*y**5 - 36*y**4 - 60*y**3 + 63*y + 36. Let p(v) = 6*t(v) + u(v). Factor p(b).
3*(b - 12)*(b - 1)*(b + 1)**3
Let p(h) be the second derivative of h**6/120 + 9*h**5/20 - 19*h**4/12 + 279*h. Solve p(o) = 0 for o.
-38, 0, 2
Let s be (28/16 - 1)/(22 + (-1038)/48). Let u(q) be the first derivative of -38 + 0*q + 5*q**3 + 3/4*q**4 + 0*q**s. Factor u(n).
3*n**2*(n + 5)
Let 272/3*v + 144*v**5 + 632*v**3 + 16/3 + 1108/3*v**2 + 492*v**4 = 0. What is v?
-1, -2/3, -1/12
Let x(y) = -3*y**3 + 127*y**2 + 5*y. Let l(t) = -5*t**3 + 191*t**2 + 8*t. Let f(p) = 5*l(p) - 8*x(p). Solve f(o) = 0 for o.
-61, 0
Let l(w) be the third derivative of -w**8/11760 + w**7/5880 + w**6/630 - w**5/210 + 33*w**3/2 + 55*w**2. Let o(i) be the first derivative of l(i). Factor o(u).
-u*(u - 2)*(u - 1)*(u + 2)/7
Let d(q) be the third derivative of -1/1785*q**7 + 0 - 1/68*q**4 + 2/51*q**3 - 125*q**2 + 0*q + 1/340*q**6 - 1/510*q**5. Suppose d(v) = 0. Calculate v.
-1, 1, 2
Find y, given that -3024/5*y - 112/5*y**3 + 1676/5*y**2 + 1458/5 + 2/5*y**4 = 0.
1, 27
Let v = -20/1493 + 1533/2986. Suppose v*m**3 + 5/2*m**2 + 3/2*m - 9/2 = 0. Calculate m.
-3, 1
Let t(f) be the second derivative of 3*f**5/40 - 3*f**4/4 - 36*f**3 - 192*f**2 + 3116*f. Factor t(l).
3*(l - 16)*(l + 2)*(l + 8)/2
Let d(q) be the third derivative of q**7/455 + 337*q**6/60 - 487*q**5/65 - 2406*q**2. Factor d(p).
2*p**2*(p + 1461)*(3*p - 2)/13
Let t(m) = -6*m - 133. Let n(b) = -42*b - 936. Let s(o) = -4*n(o) + 27*t(o). Let i be s(-25). Determine z so that i - 9/4*z**2 - 3*z = 0.
-2, 2/3
Factor 5*z**2 - 3166*z - 14385 + 432003 - 44973 + 138*z + 298*z.
5*(z - 273)**2
Let r be -2 + (-1 + 48/30)*1605. Factor r - 62*y - 2*y**2 - 5*y**2 + 8*y**2.
(y - 31)**2
Let t be (-2)/48*12/(-24). Let n(y) be the first derivative of -t*y**6 + 0*y**2 + 0*y - 18 + 1/12*y**3 + 0*y**5 + 3/32*y**4. Factor n(m).
-m**2*(m - 2)*(m + 1)**2/8
Let -43191180/7*p + 43164900/7 + 26284/7*p**2 - 4/7*p**3 = 0. Calculate p.
1, 3285
Let d(n) = 203*n**2 + 92*n - 2110. Let x(o) = -440*o**2 - 184*o + 4219. Let m(v) = 13*d(v) + 6*x(v). Factor m(c).
-(c - 46)**2
Factor -10645*b**2 + 324 + 21288*b**2 - 10647*b**2 - 96*b.
-4*(b - 3)*(b + 27)
Suppose -4*w - 6*w = 10. Let s be (-6)/(w*(-1 + 3)) + 0. Solve 589 - s*y + 3*y**2 - 589 = 0 for y.
0, 1
Suppose -2/7*a**4 + 184/7*a**2 - 312/7*a - 30/7*a**3 + 160/7 = 0. Calculate a.
-20, 1, 2
Suppose 9*y - 7128 = -24*y. Factor -21*l - 118*l - 61*l - y - 19 + 30 + 5*l**2.
5*(l - 41)*(l + 1)
Let a = 8421053/56730156 + 3/158908. Let k = a - 2/357. What is c in k*c**3 - 2/7*c**2 + 0 + 1/7*c = 0?
0, 1
Let t be (180/(-54))/((-245)/21). Suppose t*x**2 + 0 - 40/7*x + 2/7*x**3 = 0. Calculate x.
-5, 0, 4
Factor 0 - 66/23*x - 2/23*x**2.
-2*x*(x + 33)/23
Let j(t) be the first derivative of -66 + 50/9*t**3 + 40/3*t - 85/6*t**2 - 5/12*t**4. Solve j(r) = 0 for 