 4/3*d + 5/3*d**3 - 11/3*d**2 + 0 + 2/3*d**4.
d*(d - 1)*(d + 4)*(2*d - 1)/3
Let s(a) be the first derivative of 43 - 35/2*a - 15/2*a**2 + 5/6*a**3. Solve s(u) = 0 for u.
-1, 7
Suppose 231*l + 25 = 243*l - 47. Let h(a) be the third derivative of a**4 + l*a**2 - 4/15*a**6 + 0 + 2/35*a**7 + 0*a + 0*a**3 - 1/3*a**5. What is g in h(g) = 0?
-1, 0, 2/3, 3
Let j(p) be the second derivative of -p**6/165 - 7*p**5/55 - 35*p**4/66 + 50*p**3/33 - 1284*p. Suppose j(o) = 0. Calculate o.
-10, -5, 0, 1
Let s(v) be the second derivative of v**5/16 - 5*v**4/12 - 25*v**3/24 + 631*v - 2. What is n in s(n) = 0?
-1, 0, 5
Let b(l) be the third derivative of 0*l - 1/6*l**4 + 2/35*l**5 - 1/735*l**7 + 5/21*l**3 - 52*l**2 - 1/210*l**6 + 0. Factor b(a).
-2*(a - 1)**3*(a + 5)/7
Let x be 6/(-13 - (-399)/12). Let m(o) be the second derivative of -16*o - 16/9*o**2 + 0 - 1/54*o**4 + x*o**3. Factor m(q).
-2*(q - 4)**2/9
Suppose 0 = -5*j + 8*j + 4*p - 4, -4 = 5*j - 4*p. Suppose 11*f + 18*f - 7*f = j. Factor f + 8/15*k - 8/15*k**2 + 2/15*k**3.
2*k*(k - 2)**2/15
Let g(s) be the second derivative of -s**5/50 - 34*s**4/15 - 13*s**3 - 2*s + 144. Determine h, given that g(h) = 0.
-65, -3, 0
Let c be (-90)/(-27)*(-6)/(-4). Factor 5*y**3 + 7*y**2 - c*y - 28*y**2 - 28 - 36*y + y**4 - 12*y + 0*y**4.
(y - 4)*(y + 1)**2*(y + 7)
Let l(h) = -h**2 + h + 3. Let d be l(0). Factor 0*j - d*j - j**2 + 12*j.
-j*(j - 9)
Let k(p) be the second derivative of -p**4 + 0*p**2 + 4/3*p**3 + 0*p**5 - 16*p + 2/15*p**6 + 3. Find u, given that k(u) = 0.
-2, 0, 1
Let k(j) = -6*j**2 + 21*j + 63. Let t(a) = 13*a**2 - 41*a - 127. Let w(m) = 7*k(m) + 3*t(m). Factor w(z).
-3*(z - 10)*(z + 2)
Let t(l) = -19*l - 188. Suppose -215*z - 80 = -207*z. Let p be t(z). Factor 2/5*s**p + 6/5 + 8/5*s.
2*(s + 1)*(s + 3)/5
Let o(i) = i**2 + i + 2. Let y be (-30)/15 + (1 - 2 - -1). Let n(h) = 7*h**2 - 18*h + 4. Let k(x) = y*o(x) + n(x). What is v in k(v) = 0?
0, 4
Let o be 26/(-8)*136/(-1768). Suppose -12 = 4*n + 4*l, 2*n - 5*l - 14 = -3*l. Let -o*m**n - 3/2 - 5/4*m = 0. Calculate m.
-3, -2
Let k be 3*(1/(-3))/(5/(-2685)). Let v = k - 531. Factor 1/2*g**2 + v*g + 18.
(g + 6)**2/2
Let n(g) be the first derivative of -g**6/9 + 8*g**5/5 - 9*g**4/2 - 8*g**3/9 + 12*g**2 + 1158. Solve n(r) = 0 for r.
-1, 0, 2, 9
Let c = -875258 - -875263. Factor 36/7*z**3 + 0 + 2/7*z**c + 16/7*z - 2*z**4 - 40/7*z**2.
2*z*(z - 2)**3*(z - 1)/7
Let l(j) be the third derivative of -j**6/60 - 4*j**5/15 - 5*j**4/12 + 14*j**3/3 + 15*j**2 - 7*j. Factor l(m).
-2*(m - 1)*(m + 2)*(m + 7)
Determine x so that 354*x**2 - 46816*x - 2/3*x**3 - 141512/3 = 0.
-1, 266
Let b = -1544746/5 + 308952. Let 2/5*x - x**4 - b*x**3 - 7/5*x**2 + 0 = 0. Calculate x.
-2, -1, 0, 1/5
Let l(g) be the third derivative of -g**7/735 + g**6/70 - 2*g**5/105 - g**4/14 + 5*g**3/21 + 4*g**2 - 5*g. What is t in l(t) = 0?
-1, 1, 5
Suppose -4 = -2*d + 2. Suppose 0 = 3*k + 2*k - 2*l - 29, -3*l = -d*k + 21. Factor 8*g**3 + 5*g**2 - 8 - 12*g**3 - k*g**2 + 12*g.
-4*(g - 1)**2*(g + 2)
Let i(u) be the second derivative of 0 + 4/3*u**3 + 8*u**2 - 7*u**4 - 4/3*u**6 + 40*u + 1/7*u**7 + 47/10*u**5. Factor i(b).
2*(b - 2)**3*(b - 1)*(3*b + 1)
Let 10*q + 15289*q**4 - 108*q**2 + 264 + 39*q**3 - 3*q**3 - 15285*q**4 - 206*q = 0. What is q?
-11, -2, 1, 3
Factor 3/7*i**2 + 2301/7*i - 990.
3*(i - 3)*(i + 770)/7
Let b = -620737 + 4345162/7. Let b - 3/7*h**5 - 9/7*h**4 + 6/7*h**2 - 6/7*h**3 + 9/7*h = 0. What is h?
-1, 1
Suppose -5*p - 11607 = 2*u - 11641, -p - 3 = -u. Determine n so that 0*n - 4/3*n**2 - 10/9*n**3 + 2/9*n**p + 0 = 0.
-1, 0, 6
Suppose -23*a + 57 = -12. Suppose -4*j - 5 = -5*v - 8*j, -a*v - 2*j + 3 = 0. Let 3/4*s**2 + v - 13/4*s = 0. Calculate s.
1/3, 4
Let z = -1790108 - -30414959/17. Let n = z + 993. Determine f, given that 6/17*f - n*f**2 - 2/17*f**3 + 0 = 0.
-3, 0, 1
Let d(x) = -5*x**2 + 50*x - 42. Let u(q) = 9*q**2 - 100*q + 86. Suppose -2*w - 22 = 4*z, 3*w - 9 = 4*z - 3*z. Let y(i) = z*u(i) - 10*d(i). Factor y(l).
-4*(l - 24)*(l - 1)
Let 106/7*d**3 + 0 + 192/7*d + 340/7*d**2 + 2/7*d**5 - 40/7*d**4 = 0. Calculate d.
-1, 0, 6, 16
Let r = -56 + 58. Suppose -r*p + 5 = -15. Factor -w**2 + 0*w**4 + 5*w**4 + 2*w**3 + 4*w**4 - p*w**4.
-w**2*(w - 1)**2
Let i(t) = -1479*t - 223327. Let m be i(-151). Solve -9/8*r**m + 15/8*r**3 - 3/8*r**5 + 0*r + 0 - 3/8*r**4 = 0.
-3, 0, 1
Let k be 27/(-9) - (-62)/18. Let g(i) be the first derivative of k*i**3 + 2/3*i - 4 - i**2. Factor g(l).
2*(l - 1)*(2*l - 1)/3
Let l(p) be the first derivative of -2*p**5/35 - 39*p**4/14 - 1018*p**3/21 - 2445*p**2/7 - 900*p - 6067. Determine f, given that l(f) = 0.
-15, -7, -2
Let l(s) be the third derivative of s**5/270 + 7*s**4/108 - 221*s**2 + 3. Factor l(g).
2*g*(g + 7)/9
Let b(g) be the first derivative of -3*g**5/10 + 147*g**4/16 + 69*g**3/2 - 243*g**2/8 + 1945. Let b(t) = 0. Calculate t.
-3, 0, 1/2, 27
Let c(q) = q**2 - 152*q - 780. Let k be c(-5). What is z in -32/23*z**4 + 0*z + 26/23*z**3 + 0 + 10/23*z**k - 4/23*z**2 = 0?
0, 1/5, 1, 2
Find r, given that 897*r + 4*r**2 - 635 - 1349 - 1468*r - 413*r = 0.
-2, 248
Let g = 84795 - 5511851/65. Let a = 6/65 - g. Find d, given that -a*d**2 - 98/5*d**3 + 16*d + 32/5 = 0.
-4/7, 1
Suppose 0 = -2*s - 3*f + 10, -5*f = -4*s - 0*s - 2. Suppose -60*g**3 + 1096*g**2 - 361*g**s + g**4 + 165*g**2 = 0. Calculate g.
0, 30
Let m(r) = 42*r - 490. Let u be m(25). Let k be (u/255)/(-4) + (-2)/(-3). Find l such that k*l**5 + 0*l - 4/17*l**4 + 2/17*l**3 + 0*l**2 + 0 = 0.
0, 1
Let g(o) = o**3 - 8*o**2 - 2*o - 6. Let q(k) = 2*k**3 - 18*k**2 - 5*k - 13. Let i be (1 + 8/(-16))/((-2)/52). Let n(x) = i*g(x) + 6*q(x). Factor n(w).
-w*(w + 2)**2
Let j(q) be the second derivative of -2/7*q**3 + 0 + 13/84*q**4 + 2/7*q**2 - 3/70*q**5 - 13*q + 1/210*q**6. Factor j(d).
(d - 2)**2*(d - 1)**2/7
Solve -188*m**2 + 1112/3*m - 736/3 - 1/3*m**4 + 98/3*m**3 = 0 for m.
2, 92
Let 106/5*r - 104/5 - 2/5*r**2 = 0. What is r?
1, 52
Let -859/3*j + 1/6*j**2 + 737881/6 = 0. What is j?
859
Let u be 4/77*42/2520. Let n(s) be the third derivative of 0*s**4 + 0*s - 2*s**2 + u*s**7 + 0 + 0*s**5 + 0*s**6 + 0*s**3 + 1/1848*s**8. Factor n(g).
2*g**4*(g + 1)/11
Let p be 795/270 - ((-574)/(-1008) - (-1)/(-8)). Let p*x**3 + 4*x**2 + 0 + 2*x + 1/2*x**4 = 0. What is x?
-2, -1, 0
Let m be 2/(-5) + -1*(-485)/25. Suppose -15 = 14*u - m*u. Determine v so that -u*v**5 - 12*v**4 - 12*v**2 - 35 - 18*v**3 + 35 - 3*v = 0.
-1, 0
Let b(j) = 11*j**5 + 15*j**4 + 15*j**3 + 5*j**2 - 6*j - 6. Let z(g) = 1 + 36*g - 26*g - 9*g - g**5. Let s(m) = -b(m) - 6*z(m). Let s(o) = 0. Calculate o.
-1, 0
Factor -400 + 256/3*t**2 + 4/3*t**3 + 940/3*t.
4*(t - 1)*(t + 5)*(t + 60)/3
Let -v**5 + 2202*v - 116*v**4 - 340*v**2 - 44*v**3 - 298*v**3 - 2315*v = 0. Calculate v.
-113, -1, 0
Let m be (-430)/(-258) - (-10)/(-6). Let l(t) be the third derivative of m*t - 1/12*t**5 + 32*t**2 + 0 - 15/2*t**3 - 5/4*t**4. Factor l(j).
-5*(j + 3)**2
Let g = -109 - -113. Factor 35*v**5 + 40 + 135*v**3 - 40 + 115*v**g + 65*v**2 + 10*v.
5*v*(v + 1)**3*(7*v + 2)
Let n be ((44/(-33))/2)/((-10)/6902). Let z = -460 + n. Let -z*f**2 + 8/15*f - 8/15 = 0. Calculate f.
2
Let d(s) be the second derivative of s**6/90 - 2*s**5/15 - 2*s**4/9 + 16*s**3/3 + 24*s**2 - 412*s. Factor d(p).
(p - 6)**2*(p + 2)**2/3
Solve 105*m**4 - 182*m**5 - 4320*m - 775*m**3 + 2700 + 2655*m**2 - 162*m**5 + 339*m**5 = 0 for m.
2, 3, 10
Find y, given that 1/5*y**5 - 4/5*y**2 + 0 + 2/5*y**4 - 3/5*y**3 + 4/5*y = 0.
-2, 0, 1
Determine q so that 2/7*q**2 + 296/7*q + 584/7 = 0.
-146, -2
Let g(u) = -2*u**2 + 6*u + 22. Let z be g(-2). Suppose 5*y = -v + 7, y + 3*v - 2*v + 1 = 0. Solve 2*m**3 + 26*m**2 - 52*m**z + 27*m**2 - m**4 - y*m = 0 for m.
-1, 0, 1, 2
Let x be 406/754 + 28577/1105. Find l, given that 138/5*l + x + 6/5*l**2 = 0.
-22, -1
Let q be 1/(-6 + (9 - 2)). Let m be ((-1)/8*(3 - 7))/q. Find w such that -w**3 - 3/2*w**4 + 0*w + 0 + m*w**2 = 0.
-1, 0, 1/3
Let m(g) be the third derivative of 0*g**3 + 263*g**2 + 0 + 9/40*g**5 + 0*g**4 + 0*g - 1/240*g**6. Factor m(p).
-p**2*(p - 27)/2
Let w(i) be the first derivative of -17 - 1/22*i**4 + 1/11*i**2 - 4/33*i**3 + 4/11*i. Let w(q) = 0. What is q?
-2, -1, 1
Let g(c) be the first derivative of -2*c**6/45 + 23*c**5/60 - 13*c**4/18 - 4*c**3/9 - 126*c + 12. Let x(l) be the first derivative o