r -3/2 - 9/4*d - 3/4*d**r.
-3*(d + 1)*(d + 2)/4
Suppose -65 = -4*x - 5*u, -2*x + 6*x - 56 = 4*u. Solve 60*q**2 - 10*q**2 - 40 + 60*q**2 - 25*q**4 - 60*q + x*q**3 = 0 for q.
-2, -2/5, 1, 2
Let q(j) = 3*j - 4. Let o(d) = -7*d + 8. Let k(m) = 4*o(m) + 9*q(m). Let p be k(-6). Let -f**p + 2*f + 51 - 47 - f**2 = 0. Calculate f.
-1, 2
Let h = 8 + -5. Let w = -1308575 + 1308580. Factor -8/13*z**h + 16/13*z**4 + 0 + 10/13*z**w + 0*z**2 + 0*z.
2*z**3*(z + 2)*(5*z - 2)/13
Let g be (8 + -6)/4*(-30)/(-4 - 1). Factor 0*p + 48/11*p**2 - 46/11*p**g - 2/11*p**4 + 0.
-2*p**2*(p - 1)*(p + 24)/11
Suppose 0 = 4*g - g + 4*s - 6, 2*g + 4*s = 4. Suppose -b + 1 - 10 = -3*r, g*b = -r + 3. Factor -85*o + 21*o**4 + 27*o**r + 85*o + 6*o**2.
3*o**2*(o + 1)*(7*o + 2)
Let n(p) = p**2 - p. Let o(l) = -8*l**2 + 3*l. Let i(v) = -2*v**2 + 5*v + 53. Let d be i(8). Let u(r) = d*n(r) - 5*o(r). Factor u(t).
5*t*(t + 4)
Suppose -5*y - 3*a + 1 = -14, y + 4*a - 3 = 0. Factor 10*h + 204*h**y - 205*h**3 - 2*h - 7*h**2 + 0*h.
-h*(h - 1)*(h + 8)
Let w(p) be the third derivative of -5*p**6/132 + p**5/165 + 25*p**4/132 - 2*p**3/33 + 26*p**2. Find q, given that w(q) = 0.
-1, 2/25, 1
Let s be 0 + 2 - ((-48)/8 - -4). Suppose -66*u**2 + 12*u**3 + 76*u - 2*u**s + 8*u**3 + 3*u - 7*u = 0. What is u?
0, 3, 4
Let c be 1*270/(15 - 6). Suppose 48*j = c*j + 54. Find q, given that -q + 5/2*q**2 - 5/2*q**4 + 5/2*q**j - 3/2*q**5 + 0 = 0.
-2, -1, 0, 1/3, 1
Suppose -1249*p + 304*p**3 + 621*p + 620*p - 108*p**2 + 64*p**5 - 252*p**4 = 0. Calculate p.
-1/16, 0, 1, 2
Let u(y) = 5*y**3 - 3*y**2 - 4*y - 6*y**3 + 2*y. Let v = 79 - 90. Let g(h) = -6*h**3 - 16*h**2 - 10*h. Let n(i) = v*u(i) + 2*g(i). Let n(l) = 0. Calculate l.
-1, 0, 2
Let j(q) be the third derivative of -q**6/300 + 681*q**5/25 - 463761*q**4/5 + 842189976*q**3/5 - 30*q**2 + 129. Let j(v) = 0. What is v?
1362
Let k(h) be the first derivative of 0*h - 83 + 16/57*h**3 + 9/19*h**2 - 1/38*h**4. Factor k(x).
-2*x*(x - 9)*(x + 1)/19
Let k = -97 - -103. Let h(n) = n**2 - 12*n + 39. Let r be h(k). Factor 29*p**r + 80*p**4 + 46*p**2 - 13*p**3 - 52*p - 8 - 118*p**2 - 5*p**5 + 41*p**5.
4*(p - 1)*(p + 1)**3*(9*p + 2)
What is z in -1/4*z**2 - 67/2*z + 68 = 0?
-136, 2
Find m, given that -44/3*m - 1936/9 - 2/9*m**2 = 0.
-44, -22
Let d = 380 + 1505. Solve -f**3 - d + 6*f**2 + 1893 - 6*f - 6*f = 0 for f.
2
Let j = 108 + -106. Factor 10*o**j + 42*o**3 - 94*o**3 + 47*o**3.
-5*o**2*(o - 2)
Let p = -561 - -566. Solve -x - 3*x**5 + 0*x + 9*x + 30*x**p + 24*x**2 - 60*x**4 + 23*x**5 - 22*x**3 = 0 for x.
-2/5, 0, 1
Let n = -4/3909 + 1319/15636. Let z(t) be the second derivative of -n*t**4 + 0 + 0*t**2 + 1/120*t**6 - 1/6*t**3 + 1/80*t**5 + 20*t. Factor z(b).
b*(b - 2)*(b + 1)*(b + 2)/4
Let p(r) = 12*r**3 + 132*r**2 - 292*r + 140. Let t(i) = i + 7*i**3 - 8*i**3 - 2*i + 3*i. Let k(n) = p(n) + 8*t(n). Factor k(j).
4*(j - 1)**2*(j + 35)
Let 11*k - 14*k**3 - 3/2*k**4 + 57/2*k**2 + 0 = 0. What is k?
-11, -1/3, 0, 2
Let o(t) be the first derivative of -4*t**4 + 78*t**3 - 540*t**2 + 1512*t + 1783. Factor o(d).
-2*(d - 6)**2*(8*d - 21)
Let a be 1382720/(-894) + 1/(-3)*-2. Let d = a + 4646/3. Find f such that 4/3*f**3 - 4*f**2 + 4/3*f**4 - d - 20/3*f = 0.
-1, 2
Let n(w) be the first derivative of -8/9*w**3 + 0*w + 1/9*w**6 + 87 + 2/5*w**5 + 0*w**2 + 0*w**4. Let n(v) = 0. What is v?
-2, 0, 1
Let p be (-33320)/(-2100) + 2/30*2. Let b(q) be the second derivative of -1/5*q**6 - 3/20*q**5 + 0 + 0*q**2 - 1/14*q**7 + 0*q**4 + p*q + 0*q**3. Factor b(x).
-3*x**3*(x + 1)**2
Suppose 0 = 27*k + 8721 + 1269. Let f = -369 - k. Find j, given that j**2 - 1/2*j - f + 1/2*j**3 = 0.
-2, -1, 1
Determine d so that 18/5 - 3*d + 3/5*d**2 = 0.
2, 3
Let k(g) be the third derivative of g**5/120 + 2*g**4/3 + 77*g**3/4 + 225*g**2 + 5*g. Solve k(h) = 0.
-21, -11
Let l = 20512 + -225470/11. Let u(r) be the first derivative of -2/33*r**3 + 18/11*r**2 - l*r - 39. Solve u(t) = 0.
9
Let w(t) = t**4 + t**3 - t**2 + t - 3. Let k(f) = -40*f**4 + 11*f**3 + 448*f**2 - 593*f - 795. Let g(y) = -2*k(y) - 78*w(y). Suppose g(c) = 0. Calculate c.
-8, -1, 2, 57
What is m in -1/6*m**2 - 49/2*m + 0 = 0?
-147, 0
Suppose 21*t = 31*t - 30. Let o(b) be the first derivative of 14 - 1/2*b + 7/24*b**t + 3/32*b**4 + 0*b**2. Let o(g) = 0. Calculate g.
-2, -1, 2/3
Let y be 7/1050*20/24. Let l(s) be the third derivative of 1/315*s**7 - y*s**6 + 0*s**3 - s**2 + 0*s + 0*s**4 + 0 - 1/45*s**5. Factor l(d).
2*d**2*(d - 2)*(d + 1)/3
Factor 176/7*c**3 - 5024/7*c**2 - 165888/7 - 2/7*c**4 + 50688/7*c.
-2*(c - 36)**2*(c - 8)**2/7
Suppose -a + 1512 = 409. Suppose -5*r - a = -9773. Factor 7 + 5 - 4913*v**3 + r*v**2 - 204*v - 12 + 8.
-(17*v - 2)**3
Let q(v) be the third derivative of -v**7/70 - 177*v**6/20 + 178*v**5/5 - 22*v**2 - 108. Suppose q(u) = 0. What is u?
-356, 0, 2
Let o be 4/(-99)*(8 + (-12)/(264/275)). Let h = -351/187 - -35/17. Determine p, given that -o*p**2 - 4/11*p - h = 0.
-1
Let h = -48599/123 - -16965/41. Factor -20/3*r**2 - 4/3*r**3 + h*r + 0.
-4*r*(r - 2)*(r + 7)/3
Suppose -970*m = -93*m + 3 - 3. Let h = 1/178 - -1417/1246. Factor m - 4/7*o**2 - h*o**3 + 0*o - 4/7*o**4.
-4*o**2*(o + 1)**2/7
Let u = -307 - -309. Let s(x) be the second derivative of -1/42*x**4 + 0 + 6/7*x**u + 5/21*x**3 - 8*x. Find f such that s(f) = 0.
-1, 6
Let g(y) be the third derivative of -y**7/1155 - 43*y**6/660 - 83*y**5/330 - 41*y**4/132 - 181*y**2. Factor g(t).
-2*t*(t + 1)**2*(t + 41)/11
Factor 340/13 + 2/13*o**3 + 166/13*o - 172/13*o**2.
2*(o - 85)*(o - 2)*(o + 1)/13
Suppose 3602 - 2607 = 199*d. Determine s, given that -d*s + 7/2*s**2 + 0 + 2*s**3 - 1/2*s**4 = 0.
-2, 0, 1, 5
Let t be 1/(1 + (-8)/12). Let d be (-12)/2*(46/(-40) - 36/360). Factor 0 - 21/2*k**3 - d*k**2 + t*k.
-3*k*(k + 1)*(7*k - 2)/2
Let m(f) be the second derivative of f**5/30 + 281*f**4/54 + 62*f**3/9 - 6*f + 652. Determine o, given that m(o) = 0.
-93, -2/3, 0
Let j(f) be the second derivative of -f**4/90 - 212*f**3/45 - 28*f**2 - 35*f - 4. Factor j(v).
-2*(v + 2)*(v + 210)/15
Factor -2/5*d**2 - 78/5*d - 76/5.
-2*(d + 1)*(d + 38)/5
Factor 1574*u + 44632*u + 610*u**2 + 2*u**3 - 246783 + 199965.
2*(u - 1)*(u + 153)**2
Let y = -986276 - -93695071/95. Let x = 264/19 + y. What is t in 3/5*t**5 + 18/5*t + 0 - 9/5*t**3 + x*t**4 - 21/5*t**2 = 0?
-3, -2, 0, 1
Let -104/3 - 1168/9*h + 8/9*h**4 + 118/3*h**2 + 46/3*h**3 = 0. What is h?
-13, -6, -1/4, 2
Let o be 14 + 0 + 1760/(-128). Let d(b) be the second derivative of 0*b**3 - 5/24*b**4 - 1/42*b**7 - 25*b - o*b**5 - 1/8*b**6 + 0 + 1/8*b**2. Factor d(y).
-(y + 1)**4*(4*y - 1)/4
Let s(j) be the third derivative of 5/8*j**4 + 0 + 0*j - 10/3*j**3 + 16*j**2 + 1/12*j**5. What is a in s(a) = 0?
-4, 1
Let p(y) be the first derivative of 5*y**4/16 + 355*y**3/3 - 1450*y**2 + 5840*y + 332. Find o, given that p(o) = 0.
-292, 4
Let v(s) be the second derivative of 18*s**5/25 + 388*s**4 + 3877*s**3/15 + 323*s**2/5 - 2*s - 769. Let v(k) = 0. What is k?
-323, -1/6
Suppose -3*y + r - 4 = 0, -81*y + 78*y - 3*r + 12 = 0. Determine j, given that -2/13*j**3 + y - 12/13*j - 10/13*j**2 = 0.
-3, -2, 0
Let n be ((-5251)/(-89))/(-59) - -4. What is s in 8*s**2 - 8*s**4 - 11/2*s**n - 2*s + 15/2*s**5 + 0 = 0?
-1, 0, 2/5, 2/3, 1
Factor 25/3*f + 4 + 7/6*f**2 - 19/6*f**3.
-(f - 2)*(f + 1)*(19*f + 12)/6
Let m = -4351 - -4372. Let j(o) be the first derivative of 0*o - 1/2*o**3 + 0*o**2 - m - 3/8*o**4. Factor j(u).
-3*u**2*(u + 1)/2
Let o(z) = -3*z**4 + z**3 + 80*z**2 - 232*z + 140. Let m(f) = 48*f**4 - 15*f**3 - 1278*f**2 + 3714*f - 2238. Let s(h) = 2*m(h) + 33*o(h). Solve s(p) = 0.
-6, 1, 2, 4
Let g(q) = -q**2 - 61*q - 64. Let o(i) = -2. Let s(j) = g(j) - 2*o(j). Factor s(u).
-(u + 1)*(u + 60)
Suppose 12*s = -14*s - 43*s. Let z(n) be the second derivative of -5/4*n**4 + 22*n + 1/6*n**6 + s + 1/2*n**5 - 20/3*n**3 - 10*n**2. Factor z(u).
5*(u - 2)*(u + 1)**2*(u + 2)
Let m(i) be the third derivative of -i**8/784 - 13*i**7/490 - 59*i**6/280 - 19*i**5/28 + 3*i**4/7 + 72*i**3/7 - 14*i**2 - 157*i + 2. Let m(o) = 0. Calculate o.
-4, -3, 1
Let y(x) be the first derivative of x**4 + 73*x**3/3 + 223*x**2/2 - 210*x - 582. Factor y(f).
(f + 5)*(f + 14)*(4*f - 3)
Let 0*c**2 + 3/5*c**4 + 0*c + 0 - 6/5*c**3 = 0. Calculate c.
0, 2
Suppose 2*h = 4*c - 74, -3*h + 0*h + c = 116. Let n = 43 + h. Factor 