k**3 + 2*k**5 + 3*k - 35*k - 2*k**4 + 56*k**2.
2*k*(k - 2)**2*(k - 1)*(k + 4)
Let d = 8846965/17 + -520409. Determine f so that 0 + 2/17*f**2 + d*f = 0.
-6, 0
Let s(k) = 2*k + 8*k**2 + 6*k - 10*k + k**3 + 3*k - 4 + 2*k. Let p be s(-1). What is y in 2*y**5 + 0 + 32/5*y**3 - 8/5*y**2 - 34/5*y**4 + p*y = 0?
0, 2/5, 1, 2
Let q(x) be the first derivative of x**6/42 + x**5/7 - 2*x**4/7 - 16*x**3/7 - 1900. Solve q(z) = 0.
-4, 0, 3
Let i(h) be the first derivative of -3*h**4/20 + 78*h**3/5 + 243*h**2/10 - 474*h/5 + 4958. Factor i(q).
-3*(q - 79)*(q - 1)*(q + 2)/5
Determine n so that -2/7*n**2 + 4/7*n**4 + 3/7*n**3 + 0 - 1/7*n - 4/7*n**5 = 0.
-1/2, 0, 1
Suppose -4*b - 8 = -2*u, 25*u - 20 = -2*b + 20*u. Let y(t) be the second derivative of 25/2*t**2 - 13*t + b + 1/12*t**4 + 5/3*t**3. Factor y(z).
(z + 5)**2
Suppose -5/3*w**2 + 0 + 5/3*w**4 - 10/3*w**3 + 10/3*w = 0. What is w?
-1, 0, 1, 2
Let q(d) be the first derivative of -1/9*d**4 + 106/9*d**3 - 3200/9*d - 329 - 1040/3*d**2. Suppose q(m) = 0. What is m?
-1/2, 40
Let 1/3*o**4 + 3*o + 0 + 11/3*o**3 + 19/3*o**2 = 0. Calculate o.
-9, -1, 0
Let l = 211 - 206. Solve 0*c**4 - 5*c**4 + 16*c**2 - 20*c**2 + 8*c**3 + c**l = 0.
0, 1, 2
Let s(q) be the third derivative of q**5/100 + 57*q**4/10 - 693*q**3/10 - 18*q**2 - 104*q. Factor s(h).
3*(h - 3)*(h + 231)/5
Let l be (-10829)/(-2499)*(-14)/(-52). Suppose -1/6*i**2 + l*i + 4/3 = 0. What is i?
-1, 8
Let i(a) be the second derivative of -1/105*a**6 - 1/7*a**3 + 0 + 0*a**2 - 55*a - 1/14*a**5 - 1/6*a**4. Determine m so that i(m) = 0.
-3, -1, 0
Let m(q) be the first derivative of -q**5 + 10 + 35/4*q**4 - 30*q + 85/2*q**2 - 85/3*q**3. Suppose m(s) = 0. Calculate s.
1, 2, 3
Let o(n) = -2*n + 26. Let v be o(10). Let k be 0 + v + (-4)/(-2). Determine i so that -8*i + 3 - 4 + 4*i**4 + 11 + k*i**3 + 2 - 16*i**2 = 0.
-3, -1, 1
Let c(o) = -7*o**4 - 48*o**3 - 118*o**2 - 51*o + 59. Let n(h) = 78*h**4 + 530*h**3 + 1302*h**2 + 562*h - 650. Let m(x) = -68*c(x) - 6*n(x). Factor m(s).
4*(s + 2)**2*(s + 7)*(2*s - 1)
Factor 5824/5*f**2 + 6272/5*f - 104/5*f**4 + 0 + 2/5*f**5 + 1128/5*f**3.
2*f*(f - 28)**2*(f + 2)**2/5
Let j = -8 - -2. Let z(t) = -t**4 - 2*t**3 + 13*t**2 - 14*t + 6. Let k(h) = -3*h**4 - 2*h**3 + 26*h**2 - 29*h + 13. Let c(w) = j*k(w) + 15*z(w). Factor c(a).
3*(a - 2)**2*(a - 1)**2
Let y = -26210 + 26235. Factor -45 + 5/2*z**3 + y*z**2 + 35/2*z.
5*(z - 1)*(z + 2)*(z + 9)/2
Let -2237*c**2 - 2251*c**2 + 4485*c**2 + 21*c = 0. What is c?
0, 7
Let x(l) be the first derivative of -l**4/4 + 13*l**3/2 + 37*l + 62. Let t(u) be the first derivative of x(u). Factor t(k).
-3*k*(k - 13)
Let c be 13/(13/5) + (10 - (-5 + 11)). Let w(t) be the second derivative of 1/90*t**5 + c*t + 1/9*t**4 + 0 + 4/9*t**3 + 8/9*t**2. Factor w(m).
2*(m + 2)**3/9
Let u = -273040 + 1911304/7. Let -2/7*l**3 - 2*l**2 - 8/7*l + u = 0. Calculate l.
-6, -2, 1
Suppose -5*q + 3907 = 382. Let l = q + -2113/3. Find r, given that -l*r**2 - 10/3 - 4*r = 0.
-5, -1
Let q(p) = 6*p**3 - 317*p**2 + 4320*p - 10357. Let a(t) = 2*t**3 - 106*t**2 + 1440*t - 3452. Let c(r) = 11*a(r) - 4*q(r). Solve c(j) = 0 for j.
3, 24
Suppose 112908/7 - 3492/7*s + 27/7*s**2 = 0. What is s?
194/3
Factor -1/2*c**2 - 2251442 - 2122*c.
-(c + 2122)**2/2
Let c be 174432/4266 - (-5 - -45). Factor c*f**2 - 14/9*f - 20/9 + 2/9*f**3.
2*(f - 2)*(f + 1)*(f + 5)/9
Let i be 5*(-5)/((-175)/14). Solve 74*p**2 + 27 + 63*p + 75*p**i + 33 - 220*p**2 + 74*p**2 = 0 for p.
-20, -1
Let y(t) be the first derivative of t**8/840 + t**7/35 + 32*t**3 + 149. Let f(v) be the third derivative of y(v). Find q such that f(q) = 0.
-12, 0
Factor 916/13 - 1834/13*h + 4/13*h**2.
2*(h - 458)*(2*h - 1)/13
Let u(n) be the third derivative of -n**8/2184 - n**7/273 - n**6/156 + n**5/78 + n**4/26 + 1209*n**2. Solve u(i) = 0.
-3, -2, -1, 0, 1
Suppose 3*q = 4*w + w - 1, 20 = 4*w. Suppose 4*j**2 + 41*j**4 + 0*j - 45*j**4 - 8*j**3 + q*j = 0. What is j?
-2, -1, 0, 1
Let t(b) = b + 6. Let g be t(-1). Suppose -5*c = -3*q - 4, g*c = -0*c + 5*q. Factor 9/2*y + 3/2*y**c - 6.
3*(y - 1)*(y + 4)/2
Let z(c) = c**3 - 23*c**2 - 72*c + 1660. Let u be z(23). Factor 2/9*s**5 - u*s**4 - 32*s**2 + 128/9*s + 0 + 194/9*s**3.
2*s*(s - 8)**2*(s - 1)**2/9
Let d = -3566 + 17846/5. Let j(p) be the first derivative of 4/5*p - 12 + 64/15*p**3 - d*p**2. Factor j(c).
4*(4*c - 1)**2/5
Suppose -16*g - 20*g + 144 = 0. Find l, given that 108 + 21*l**2 - 16*l**g + 99*l**3 + 2*l**5 - 67*l**3 + 7*l + 15*l**2 - 169*l = 0.
-2, 1, 3
Factor 192027/2 + 195063/4*y + 3/4*y**3 + 381*y**2.
3*(y + 2)*(y + 253)**2/4
Let l(k) be the first derivative of k**4/12 - 97*k**3/9 + 1288*k**2/3 - 10580*k/3 + 1553. Solve l(y) = 0 for y.
5, 46
Factor 55980*z**4 + 180368*z**2 + 56*z + 19141*z**3 + 20786*z**3 + 10728*z**4 + 91*z + 31212*z**5 - 175790*z**2.
3*z*(z + 1)**2*(102*z + 7)**2
Let h(j) be the first derivative of -j**5/20 - j**4/6 - j**3/6 - 21*j + 43. Let k(q) be the first derivative of h(q). Determine v, given that k(v) = 0.
-1, 0
Let o(j) be the third derivative of 3/10*j**5 - 1/60*j**6 + 72*j**2 + 16/3*j**3 + 0*j + 0 - 2*j**4. Solve o(q) = 0 for q.
1, 4
Let x(m) be the first derivative of -5*m**6/12 + 61*m**5/6 - 895*m**4/24 + 775*m**3/18 - 85*m**2/6 - 1062. What is q in x(q) = 0?
0, 1/3, 1, 2, 17
Let i(l) be the second derivative of l**6/45 - 13*l**5/30 - 2*l**4/9 + 52*l**3/9 + 1465*l. Solve i(m) = 0 for m.
-2, 0, 2, 13
Suppose -61*q + 1184 = -29*q. Suppose q*k = 33*k + 8. Factor -2/7*f**k - 2/7*f**3 + 2/7 + 2/7*f.
-2*(f - 1)*(f + 1)**2/7
Let r = -1599 + 14407/9. Let d = -53 + 163/3. Determine y, given that 4/9*y**2 - r + d*y = 0.
-4, 1
Suppose 654*t = 280*t + 3706*t - 6664. Find n such that 1/6*n**4 + 5/6*n**3 - 5/6*n + 5/6*n**t - 1 = 0.
-3, -2, -1, 1
Let n(j) = 1055*j**2 + 2205*j + 1161. Let m(b) = -1054*b**2 - 2204*b - 1164. Let w(x) = -3*m(x) - 4*n(x). Determine a, given that w(a) = 0.
-24/23
Let h = 4 + 23. Find j, given that -149*j - 40*j**2 + 54*j - 5*j**3 + h - 87 = 0.
-4, -3, -1
Let d = -151 + 155. Let m be 2 + ((-170)/(-55) - d). Factor 12/11*j**2 - 2/11*j**3 - 2*j + m.
-2*(j - 3)*(j - 2)*(j - 1)/11
Solve 1/2*k**4 + 153/2 + 27/4*k**3 - 38*k**2 - 543/4*k = 0 for k.
-17, -3, 1/2, 6
Let q(i) = 2*i**2 + 86*i + 508. Let u be q(-7). Let b(x) be the second derivative of -1/8*x**2 - 3*x + 0 + 1/48*x**u + 0*x**3. Determine h so that b(h) = 0.
-1, 1
Let d = -9549 - -9554. Let p(q) be the third derivative of 0 + 0*q**4 - 1/420*q**6 - 1/70*q**d - 22*q**2 + 0*q + 0*q**3. Factor p(k).
-2*k**2*(k + 3)/7
Let i(l) = -128*l**2 - 67320*l - 56649789. Let x(m) = 29*m**2 + 16830*m + 14162447. Let j(h) = -2*i(h) - 9*x(h). Factor j(d).
-5*(d + 1683)**2
Let k(u) be the third derivative of u**6/300 - u**5/50 - 12*u**4/5 - 36*u**3 - 231*u**2 + 9. Factor k(l).
2*(l - 15)*(l + 6)**2/5
Factor -868/9*a + 38/9*a**2 - 46/3.
2*(a - 23)*(19*a + 3)/9
Suppose 5*z = z + 12. Let u = 159611/3 + -53203. Factor 2/3*s**2 - u*s - 2/9*s**z + 2/9.
-2*(s - 1)**3/9
Let g(h) be the first derivative of 9*h**5/35 + 57*h**4/28 + 79*h**3/21 - 45*h**2/14 - 100*h/7 + 8252. Factor g(o).
(o - 1)*(o + 4)*(3*o + 5)**2/7
Determine t so that 1757600 + 31694*t**2 - 1/2*t**5 - 6577/2*t**3 + 73*t**4 + 601640*t = 0.
-5, 52
Let l(g) = g**4 - g**3 + g. Let t = -13 + -11. Let o(s) = -7*s**4 + 8*s**3 - s**2 - 8*s. Let v(i) = t*l(i) - 3*o(i). Factor v(a).
-3*a**2*(a - 1)*(a + 1)
Factor -75*z**3 - 5/3*z**5 + 250/3*z**2 + 0*z + 0 + 20*z**4.
-5*z**2*(z - 5)**2*(z - 2)/3
Let t = 58555 - 58551. Factor 0 - 5/2*u**2 - 3/2*u**3 - u + 1/2*u**t + 1/2*u**5.
u*(u - 2)*(u + 1)**3/2
Let y(l) be the first derivative of -5*l**4/4 - 215*l**3/3 - 1300*l**2 - 6000*l + 401. Suppose y(g) = 0. Calculate g.
-20, -3
Suppose p - k = 3*k - 6, 2 = p - 2*k. Let w(n) be the second derivative of -p*n**2 + 5/4*n**5 + 0 + 40/3*n**3 - 85/12*n**4 + 7*n. Factor w(m).
5*(m - 2)*(m - 1)*(5*m - 2)
Let l(u) be the second derivative of 0*u**3 + 2/27*u**4 + 0*u**2 + 5*u + 1/135*u**6 + 0 - 1/18*u**5. Let l(x) = 0. Calculate x.
0, 1, 4
Let j(x) be the first derivative of -x**3/3 + 115*x**2/2 - 226*x + 2218. What is m in j(m) = 0?
2, 113
Let t(b) be the second derivative of -1/30*b**6 - 1/2*b**4 - 77*b + 0 + 7/20*b**5 + 16*b**2 - 16/3*b**3. Factor t(a).
-(a - 4)**2*(a - 1)*(a + 2)
Let b(v) be the first derivative of -v**4/20 + 20*