
0, 2, 29
Let p = -936 - -918. Let w be 30/p - (-102)/18. Determine r, given that 0*r**2 - 1/7*r**5 - 1/7*r**w + 0 + 0*r**3 + 0*r = 0.
-1, 0
Let u(m) = -37*m**3 + 130*m**2 - 498*m + 342. Let q(t) = -17*t**3 + 65*t**2 - 248*t + 172. Let o(b) = -9*q(b) + 4*u(b). Factor o(d).
5*(d - 6)**2*(d - 1)
Let g be 572/2574 - (12/2)/270. Factor 0*u - 1/5*u**4 + 1/5*u**2 + 0 + 1/5*u**3 - g*u**5.
-u**2*(u - 1)*(u + 1)**2/5
What is k in -63/2 + 11/4*k + 1/4*k**2 = 0?
-18, 7
Let i be (-8)/6*(27 - 9). Let z = i + 24. Solve 3*w**3 - 2*w**3 + 0 + z = 0.
0
Let b(o) be the third derivative of -o**8/1344 - 137*o**7/840 - 209*o**6/20 - 363*o**5/4 - 2451*o**2. Find f, given that b(f) = 0.
-66, -5, 0
Suppose 7*k + u = 8*k - 15, -3*k + 55 = -u. Factor -1520 - 278*h + 7*h**3 + 148 + 63*h**2 + k*h**3 + 33*h - 10*h**3 + h**4.
(h - 4)*(h + 7)**3
Let l(s) be the first derivative of 10/3*s**3 - 9/2*s**2 + 68 - 1/4*s**4 + 0*s. Factor l(w).
-w*(w - 9)*(w - 1)
Suppose 3 + 12 = 4*g - 7*s, 2*g + 2*s = 2. Factor -3*b**2 + 20*b**2 - 14*b**2 - 5*b**2 + g*b.
-2*b*(b - 1)
Let h(d) be the second derivative of 5*d + 1/32*d**4 + 21/16*d**2 + 3 + 1/2*d**3. Factor h(u).
3*(u + 1)*(u + 7)/8
Let l(d) = 2*d**2 - 312*d - 674. Let w(q) = -q**2 + 316*q + 672. Let a(b) = -6*l(b) - 7*w(b). Suppose a(p) = 0. Calculate p.
-66, -2
Let c(v) be the third derivative of -v**8/336 + v**7/70 + 53*v**6/60 - 271*v**5/30 - 35*v**4/8 + 539*v**3/6 - 2*v**2 + 10181*v. Suppose c(s) = 0. What is s?
-11, -1, 1, 7
Solve -256*y + 81*y**2 + 119*y**2 - 6*y**4 + 4*y**4 + 60*y**3 - 2*y**4 - 392*y**2 = 0 for y.
-1, 0, 8
Suppose 5*g + 95 = j + 118, g + j = -5. Find u such that 4/7*u**2 - 4/7*u**4 + 4/7*u**5 - 12/7*u**g + 8/7*u + 0 = 0.
-1, 0, 1, 2
Suppose -21951938/13*q**2 - 8/13 - 26504/13*q = 0. Calculate q.
-2/3313
Let f(z) be the first derivative of 4*z**6/3 + 1326*z**5/25 - 1303*z**4/10 - 184*z**3/5 + 28*z**2 - 9265. Find m such that f(m) = 0.
-35, -2/5, 0, 1/4, 2
Suppose 0 + 0*y + 29/9*y**2 + 1/9*y**4 + 10/3*y**3 = 0. What is y?
-29, -1, 0
Let t be (0 + 8/6)*(792/64 + -12). Let f(n) be the first derivative of -1/5*n**3 + 1/25*n**5 - 18 + 1/20*n**4 - 2/5*n - t*n**2. Factor f(c).
(c - 2)*(c + 1)**3/5
What is m in -75*m**2 - 3/2*m**5 + 15*m**4 - 6*m + 15/2*m**3 + 60 = 0?
-2, -1, 1, 2, 10
Let c be ((-18)/(-15))/(-1) + (-3952)/190 + 25. Solve 162*v**2 + 2/3 + 486*v**c + 18*v = 0.
-1/9
Let k be 5/(5/(-2)) - -4. Suppose k*f - 34 = -24. Factor 6*h**3 + 10*h**2 + f*h - 6*h**3 - 6*h**3 - 9*h**3.
-5*h*(h - 1)*(3*h + 1)
Let x be 182/39*(-101)/(-1414). Factor 0*b**2 + 0*b - 4/3*b**4 - b**3 - x*b**5 + 0.
-b**3*(b + 1)*(b + 3)/3
Let x(v) be the second derivative of -26*v**5/5 + 233*v**4/3 + 538*v**3/3 + 20*v**2 + 2477*v. Factor x(b).
-4*(b - 10)*(b + 1)*(26*b + 1)
Let j(v) be the third derivative of v**8/112 - v**7/14 - 3*v**6/4 - 5*v**5/2 - 35*v**4/8 - 9*v**3/2 - v**2 + 3. Let j(m) = 0. Calculate m.
-1, 9
Let x(c) = -c + 5. Let j be x(1). Suppose 106*n**2 + 4*n**4 + 2*n**j - 45*n**3 - n**2 - 1367 + 1391 - 90*n = 0. What is n?
1/2, 1, 2, 4
Let t = 3941/58 - 19647/290. Factor -t*w**3 + 1/5*w + 7/5*w**2 - 7/5.
-(w - 7)*(w - 1)*(w + 1)/5
Let s(f) = 17*f**3 - 73*f**2 - 331*f - 1515. Let y(o) = -4*o**3 + 15*o**2 + 83*o + 379. Let n(d) = 5*s(d) + 21*y(d). Solve n(p) = 0.
-2, 4, 48
Factor -56/3 - 332/3*w**2 - 1/3*w**5 + 223/3*w + 218/3*w**3 - 52/3*w**4.
-(w - 1)**4*(w + 56)/3
Factor 27/2*d**2 + 21 - 381/2*d.
3*(d - 14)*(9*d - 1)/2
Find t such that -108/13 - 90/13*t - 2/13*t**3 - 24/13*t**2 = 0.
-6, -3
Let p(q) be the first derivative of -q**4/8 - 77*q**3/6 + 20*q**2 + 78*q + 959. What is d in p(d) = 0?
-78, -1, 2
Let z(n) be the third derivative of -n**5/390 + 11*n**4/78 + 45*n**3/13 - 5513*n**2. Factor z(c).
-2*(c - 27)*(c + 5)/13
Let w(t) be the second derivative of 0 - 166/3*t**3 - 7/6*t**4 + 108*t + 48*t**2. Factor w(m).
-2*(m + 24)*(7*m - 2)
Suppose 4109*x - 4096*x = 0. Factor x - 4/9*o**5 + 0*o**2 - 8*o**4 + 0*o**3 + 0*o.
-4*o**4*(o + 18)/9
Let h = -2638/109 + 10879/436. Solve -h*i**4 - 7/4*i**3 + 3*i**2 + 1/2*i**5 + 0 - i = 0 for i.
-2, 0, 1/2, 1, 2
Suppose -3*h - 4*p + 17 = 0, -p - 7 = -3*h - 0*h. Let 10*n**5 - 12*n + 34*n**4 - 49*n**2 - 4*n + 12*n**h + 9*n**2 = 0. What is n?
-2, -2/5, 0, 1
Determine s, given that 128/3*s**5 + 16*s + 0 + 1376/3*s**4 - 746/3*s**2 + 2722/3*s**3 = 0.
-8, -3, 0, 1/8
Let k = 300581/70 - 4294. Let p(i) be the second derivative of -1/7*i**3 + 0 - 8*i - 3/14*i**4 - k*i**5 + 1/35*i**6 + 2/7*i**2. Let p(z) = 0. What is z?
-1, 1/3, 2
Let h(z) = 12*z**2 + 7*z - 25. Let r be h(-6). Let p be (3 - r/35) + 8. Determine a, given that 0 + 2/7*a**2 - p*a = 0.
0, 2
Let t(c) be the third derivative of -7/20*c**5 + 1/20*c**6 + 0*c - 4 - c**3 + 5*c**2 + 7/8*c**4. Factor t(w).
3*(w - 2)*(w - 1)*(2*w - 1)
Suppose -2*w + 20 = -5*p, -p = -w - 238 + 251. Determine z, given that -30/7 + 3*z - 3/7*z**3 + 12/7*z**p = 0.
-2, 1, 5
Let m(d) = 12*d**4 - 28*d**3 - 200*d**2 - 48*d + 16. Let f(t) = t**4 + 2*t**3 - 3*t**2 + 3*t + 1. Let h(p) = -16*f(p) + m(p). Factor h(z).
-4*z*(z + 1)*(z + 2)*(z + 12)
Suppose s = -68*x + 64*x + 24, -5*x = 3*s - 30. Let i(b) be the first derivative of 0*b**3 - 2/27*b**6 + 0*b + 0*b**4 + 32 + 4/45*b**5 + s*b**2. Solve i(q) = 0.
0, 1
Let g = 3 - -1. Suppose -3 - 29 = -2*y - 5*n, 8 = g*y - 4*n. Factor y*c**2 - c - 5*c**2 - 3 - c.
(c - 3)*(c + 1)
Suppose 23*g**2 + 29*g**2 + 5*g - 22*g**2 - 33*g + 58*g**2 = 0. Calculate g.
0, 7/22
Let v be 8/24*12/(-56). Let c = 31/7 - v. Factor c*h - 3*h**4 + 7*h**3 - 1 - 8*h**2 + 1/2*h**5.
(h - 2)*(h - 1)**4/2
Let x be 30/(-20) + (-35)/(-2) - (-7)/(-7). Let w(y) be the first derivative of 0*y - 5/4*y**4 + 29 + x*y**2 - 25/3*y**3. Factor w(t).
-5*t*(t - 1)*(t + 6)
Let l(u) = -10*u**4 + 25*u**3 + 90*u**2 + 95*u + 40. Let f = 147 - 162. Let z(g) = g**4 + g**3 - g - 1. Let w(b) = f*z(b) - l(b). Solve w(o) = 0.
-5, -1
Let p be ((-48)/40)/((-2)/(-5)). Let b be 3 - (-33 + p + -1). Determine v so that -2*v**2 - 21*v - 10 - 7*v - b + 8*v = 0.
-5
Factor -1123/2 + 1/2*h**2 - 561*h.
(h - 1123)*(h + 1)/2
Let x(b) be the third derivative of -b**5/630 - 151*b**4/252 + 34*b**3/7 - 822*b**2. Factor x(y).
-2*(y - 2)*(y + 153)/21
Suppose 5*v - 4*v + 96 = 0. Let b = v + 274. Suppose -39 - b - 35*z - 5*z**2 - 28 - 35*z = 0. What is z?
-7
Let g be ((-6)/(-10))/(13/195). Suppose 20 = g*j + 2. Factor 10*k**j - 7*k**2 + 6 - 6*k**2 - 3*k.
-3*(k - 1)*(k + 2)
Let m(d) be the third derivative of 63*d**2 - 1/144*d**4 + 0 + 1/360*d**5 - 1/6*d**3 + 0*d. Factor m(g).
(g - 3)*(g + 2)/6
Let f(x) be the third derivative of -5/32*x**4 - 3/80*x**5 - 1/4*x**3 + 1/160*x**6 + 182 + 0*x + 1/280*x**7 - x**2. What is m in f(m) = 0?
-1, 2
Let -2/19*u**4 + 14/19*u**3 + 290/19*u**2 + 850/19*u + 0 = 0. Calculate u.
-5, 0, 17
Let p(x) be the second derivative of 0*x**4 + 1/5*x**5 + 0*x**2 - 1/15*x**6 - 1 + 0*x**3 - 49*x. Solve p(l) = 0 for l.
0, 2
Let k(o) be the second derivative of -3/2*o**4 + 1/10*o**5 + 8*o**3 - 1 - 20*o**2 + 32*o. Determine m so that k(m) = 0.
2, 5
Let l = 10273/497 + -1427/71. Factor 104/7 + 108/7*m + l*m**2.
4*(m + 1)*(m + 26)/7
Suppose 0 = -5*n - 6*n - 2046. Let y = n - -271. Suppose 12 - 14 - 75*w**2 + 7 - y*w**3 - 30*w**4 - 15*w = 0. What is w?
-1, 1/6
Let y = -90139/18 + 5008. Let p(x) be the first derivative of 4/9*x + y*x**2 + 1/27*x**3 + 2. Factor p(a).
(a + 1)*(a + 4)/9
Let o be (-105)/26 - (-6 - 2)/2. Let k = o + 43/104. Factor 1/8*i**2 - 1/2 + k*i.
(i - 1)*(i + 4)/8
Suppose -145*k + 1862 = -144*k. Suppose k*l = 1867*l - 10. Suppose 2/19 + 2/19*u**l - 4/19*u = 0. What is u?
1
Let r(b) = b**2 - b. Let p = -79 + 65. Let d(q) = -6*q**2 + 71*q + 1024. Let u(n) = p*r(n) - 2*d(n). Let u(a) = 0. Calculate a.
-32
Determine f so that 1566*f + 3912/5*f**2 + 3916/5 - 2/5*f**3 = 0.
-1, 1958
Let n(r) = -177*r**3 + 707*r**2 + 6*r - 5. Let j be n(4). Let s(u) be the first derivative of 2 + 0*u - 21/4*u**4 - 5*u**j + 3*u**2. Solve s(f) = 0.
-1, 0, 2/7
Let d(b) = b**2 - 1311*b - 47105. Let s be d(-35). Solve 5*q**2 + 0 + 4*q**4 - 17/2*q**3 + 0*q - 1/2*q**s = 0 for q.
0, 1, 2, 5
Let k(c) be the first derivative of c**6/12 - 13*c**5/5 + 125*c**4/8 + 76*c**3/3 - 9488. Suppose k(x) = 0. Calculate x.
-1, 0, 8, 19
Let w(k) = k**3 - 32*k**2 + 84*k + 90. Let b be w(29). Let f(i) be the second derivative of 8