 2 + b*a**2 + 9/4*a.
(a + 1)*(a + 8)/4
Let u(o) = 4*o**3 - 3*o**2 - 25*o + 5. Let j be u(0). Suppose 31/3*h**2 - 22/3*h - 23/3*h**4 + 29/3*h**3 - 7/3*h**j - 8/3 = 0. What is h?
-4, -1, -2/7, 1
Let c(x) = 2*x**2 - x + 27. Let m be c(5). Let b be ((-20)/15)/(-4) - (-3)/m. Suppose -b - 3/8*z**2 - 3/4*z = 0. Calculate z.
-1
Let g be (-3515)/2035 + 3/(-2)*-2. Factor -2/11*a**5 - g*a**3 + 0*a + 6/11*a**2 + 0 + 10/11*a**4.
-2*a**2*(a - 3)*(a - 1)**2/11
Let x(d) = 2*d**2 - 2*d - 2. Let l be x(-1). Suppose 2*h + 7*h**2 + 10550*h**4 + 3*h**3 + h**3 - l*h**2 - 10549*h**4 = 0. Calculate h.
-2, -1, 0
Let j = -9089 - -9093. Let r(i) be the third derivative of 0 + 1/4*i**j + 27*i**2 + 0*i**3 - 1/20*i**6 - 1/30*i**5 + 0*i + 1/105*i**7. Factor r(a).
2*a*(a - 3)*(a - 1)*(a + 1)
Determine q so that -69*q**2 - 151*q**2 + 32*q - q**4 - 188*q + 1050*q**3 - 1118*q**3 - 3*q**4 = 0.
-13, -3, -1, 0
Let v be ((-12)/18)/(10/(-45)). Factor -s**3 - s**v - 8 + 4*s - 2*s + 6*s + 2*s**2.
-2*(s - 2)*(s - 1)*(s + 2)
Let g(r) be the first derivative of -r**3/21 - r**2/2 + 1503. Determine f so that g(f) = 0.
-7, 0
Let d(q) be the first derivative of q**6/6 + 8019*q**5/5 + 12056065*q**4/2 + 32216480350*q**3/3 + 16128360400125*q**2/2 - 16160601000625*q + 3658. Factor d(m).
(m - 1)*(m + 2005)**4
Let s be (-48)/(-70) - 572/1430. Factor -2/7*a**3 + 2/7*a - s + 2/7*a**2.
-2*(a - 1)**2*(a + 1)/7
Let p(m) be the second derivative of m**5/70 + 19*m**4/21 + 24*m**3/7 - m + 361. Factor p(x).
2*x*(x + 2)*(x + 36)/7
Solve -684*v**4 + 4 + 164*v**4 - 12*v**5 - 4 - 656*v**3 + 491*v**2 + 181*v**2 = 0.
-42, -2, 0, 2/3
Let j(y) be the third derivative of -4*y**7/105 - 7*y**6/12 - 109*y**5/30 - 47*y**4/4 - 21*y**3 + 493*y**2. Determine w, given that j(w) = 0.
-3, -7/4, -1
Let u = -790/411 + 7553/3288. Factor 9/8*k + 15/4 - u*k**2.
-3*(k - 5)*(k + 2)/8
Let j(k) = -15*k**3 - 30*k**2 + k + 23. Let t(y) = 7*y**3 + 14*y**2 - y - 11. Let p(f) = 17*f + 54. Let v be p(-3). Let h(x) = v*j(x) + 7*t(x). Factor h(c).
4*(c - 1)*(c + 1)*(c + 2)
Suppose -517*i + 415*i + 1079 = 689*i - 503. Solve 5/3*k**3 + 10 + 65/3*k + 40/3*k**i = 0 for k.
-6, -1
Let v(p) be the first derivative of -104*p**6/7 + 48*p**5/5 + 348*p**4/7 + 268*p**3/7 + 123*p**2/14 - 6*p/7 - 7728. Suppose v(s) = 0. What is s?
-1/2, 1/26, 2
Let d(o) be the third derivative of 5/28*o**4 + 1/15*o**5 - 5*o**2 - 1/420*o**6 + 0*o + 8 + 0*o**3. Factor d(i).
-2*i*(i - 15)*(i + 1)/7
Let k be ((-70)/(-18) - 3)*(-963)/(-214). Suppose -6 = -3*b - 0. Factor 35*s**k - 10*s**3 + 24*s**3 + 20*s**3 - 9*s**3 - 10*s**b.
5*s**2*(s + 1)*(7*s - 2)
Factor 43*o**3 - 99*o**3 - 24 - 64*o + 66*o**3 - 2*o**2 - 4*o**2.
2*(o - 3)*(o + 2)*(5*o + 2)
Solve 182/15*s**2 + 2/15*s**4 + 44/5*s + 0 + 52/15*s**3 = 0.
-22, -3, -1, 0
Suppose -3*t = -37*t - 28*t + 248. Let p(o) be the first derivative of 2/45*o**5 - 1/9*o**t - 2/9*o + 0*o**3 - 4 + 2/9*o**2. Find y such that p(y) = 0.
-1, 1
Let y = 463 - 420. Suppose -4*b - 3*g + 4 = g, -5*g = -3*b + y. Factor -5*d**3 - 3*d + b*d**2 + 3/2*d**4 + 1/2.
(d - 1)**3*(3*d - 1)/2
Suppose 5*f - 8 = -3*o, 0 = -4*f - o + 3*o + 24. Suppose -5*l + 18 = -3*l + f*q, 29 = 4*l + q. What is y in y**2 + y + l*y**2 - 7*y**2 = 0?
-1, 0
Let p = -592 + 626. Let s(t) = -2*t**2 + 65*t + 102. Let m be s(p). Factor 1/6*f**3 + 1/6*f**2 + m - 1/6*f**4 - 1/6*f.
-f*(f - 1)**2*(f + 1)/6
Find o such that -268/3*o - 80 - 28*o**2 - o**3 + 1/3*o**4 = 0.
-5, -2, 12
Let v(s) be the third derivative of s**7/1260 + s**6/40 + 97*s**5/360 + 3*s**4/4 - 56*s**3/9 + 25*s**2 + 41. Determine u so that v(u) = 0.
-8, -7, -4, 1
Let c(u) = -11*u**3 + 15*u**3 + u + 4*u - 5 + 7*u**2. Let l(d) = -6*d**3 - 11*d**2 - 7*d + 7. Let p(y) = -7*c(y) - 5*l(y). Solve p(m) = 0 for m.
-3, 0
Let f(q) = -2*q**3 - q + 1. Let t(u) = 3*u**4 + 15*u**3 - 6*u**2 + 9*u - 9. Let g = -268 - -267. Let i(m) = g*t(m) - 9*f(m). Solve i(r) = 0.
-1, 0, 2
Let j be 5 - ((-2142)/(-30) - 6). Let p = 61 + j. Factor p*k**5 - 3/5*k**4 - 6/5*k**3 + 3/5*k + 6/5*k**2 - 3/5.
3*(k - 1)**3*(k + 1)**2/5
Let j be 3/((-42)/(-4)) + 76/18620*126. Solve 8/5 - j*p - 23/5*p**3 - 6*p**2 - p**4 = 0.
-2, -1, 2/5
Factor -123 - 3*p**2 + 163 + 303 + 4*p**2 - 344*p.
(p - 343)*(p - 1)
Let g(z) be the second derivative of z**4/4 + 164*z**3 + 2*z + 77. Factor g(s).
3*s*(s + 328)
Suppose 2*c - 8 + 12 = -o, 3*o + 12 = 0. Let h(z) be the third derivative of c + 1/12*z**5 + 0*z**4 - 10/3*z**3 + 0*z + 5*z**2. Let h(i) = 0. What is i?
-2, 2
Solve -13813*t**3 + 28206*t**3 - 13948*t**3 + 1380*t**2 - 5*t**4 + 20*t - 1840 = 0 for t.
-2, 1, 92
Suppose q + 27/2*q**2 - 24 + 7/2*q**3 = 0. What is q?
-3, -2, 8/7
Suppose -332 + 98 = 18*q. Let f be 54/(-12)*q/39. Factor 0 + 13/2*z**3 + 1/2*z**5 - f*z**2 + 7/2*z**4 - 9*z.
z*(z - 1)*(z + 2)*(z + 3)**2/2
Find l such that 0*l**2 + 0*l + 0 + 2804/7*l**3 + 4/7*l**4 = 0.
-701, 0
Factor -195/4*k - 197/2 + 1/4*k**2.
(k - 197)*(k + 2)/4
Let m(w) = -119*w**3 - 221*w**2 + 938*w - 64. Let l(r) = 120*r**3 + 220*r**2 - 936*r + 64. Let x(a) = 3*l(a) + 4*m(a). Suppose x(d) = 0. What is d?
-4, 2/29, 2
Let h(s) be the first derivative of 3*s**4/4 - 92*s**3 - 8586. Factor h(d).
3*d**2*(d - 92)
Let f = 50599/227574 - 3/25286. Solve f*c**2 + 0*c - 2 = 0 for c.
-3, 3
Let i(l) be the second derivative of -l**5/25 + 4*l**4/5 + 2*l**3/15 - 24*l**2/5 + 2602*l. Factor i(t).
-4*(t - 12)*(t - 1)*(t + 1)/5
Solve -320*i - 380/3*i**2 + 5/3*i**4 + 0 + 20*i**3 = 0 for i.
-16, -2, 0, 6
Let s be (160/25)/(24/60). Let -9*o + o + 60*o**2 - 59*o**2 + s*o = 0. What is o?
-8, 0
Factor -214/7*g**3 - 5616/7*g**2 + 5832/7*g - 2/7*g**4 + 0.
-2*g*(g - 1)*(g + 54)**2/7
Let m(b) = 5*b**2 - 10*b - 4. Let n = 17 + -30. Let j = 12 + n. Let x(k) = -k**2 + k + 1. Let t(c) = j*m(c) - 4*x(c). Suppose t(q) = 0. What is q?
0, 6
Suppose -941 - 263 = -14*k. Factor 13*t**2 - k*t**3 + 4*t**4 + 27*t**2 + 114*t**3.
4*t**2*(t + 2)*(t + 5)
Find g, given that -96*g**3 - 15*g**4 + 137*g**3 + 377*g**3 + 447 + 903 + 187*g**3 + 3795*g + 3065*g**2 = 0.
-3, -1, -2/3, 45
Determine y, given that 1050*y - 367500 - 3/4*y**2 = 0.
700
Let j = 6871/41442 + 6/6907. Let i(h) be the second derivative of -j*h**3 + 17*h - 1 + 0*h**2 - 1/20*h**5 + 1/6*h**4. Suppose i(x) = 0. Calculate x.
0, 1
Suppose -32*m = -33*m + 13. Suppose m + 0 - 5 + 43*d**2 + 97*d**2 + 4 + 86*d = 0. Calculate d.
-2/5, -3/14
Let m = 128 - 112. Factor -3*b**3 + 5*b**4 + 0*b**2 - 3*b**3 - 6*b - 4*b - 5*b**2 + m*b**3.
5*b*(b - 1)*(b + 1)*(b + 2)
Let b be (442/195)/17*20/8. Let r(w) be the second derivative of -5/4*w**2 - b*w**3 - 22*w + 0 + 1/24*w**4. Find l, given that r(l) = 0.
-1, 5
Let h = 707 + -701. Let u be 120/48 + (-3)/h. Factor 0 + 0*x**u + 2/5*x**5 + 0*x - 2/5*x**4 + 0*x**3.
2*x**4*(x - 1)/5
Let w(g) be the third derivative of g**5/150 - 73*g**4/20 - 222*g**3/5 + 6489*g**2. Factor w(s).
2*(s - 222)*(s + 3)/5
Let w(t) be the third derivative of -t**5/20 - 27*t**4/8 + 29*t**3 + 479*t**2. Factor w(l).
-3*(l - 2)*(l + 29)
Factor -343*l**5 - 4200*l**3 - 9016*l**2 + 4721*l**2 - 112*l - 5096*l**4 + 3111*l**2.
-l*(l + 14)*(7*l + 2)**3
Let o be ((-20)/30)/(1/6). Let m be 12/(-15)*o/((-16)/(-6)). Factor 6*x**2 + 4/5 - 18/5*x + m*x**4 - 22/5*x**3.
2*(x - 1)**3*(3*x - 2)/5
Suppose -76 = 5*j - 24*j. Solve -24*q**2 + 400 - j*q**3 - 581*q + 350*q + 291*q = 0 for q.
-5, 4
Let t = 162/13 + -5657/455. Let n(c) be the second derivative of -1/21*c**4 - 19*c + 2/21*c**3 + 0 + 2/105*c**6 - t*c**5 + 0*c**2. Factor n(o).
4*o*(o - 1)**2*(o + 1)/7
Let p(n) be the second derivative of -n**4/102 + 5*n**3/17 - 26*n**2/17 - 1158*n. Factor p(r).
-2*(r - 13)*(r - 2)/17
Let c(b) be the third derivative of 1/5*b**5 + 0*b**3 - 1/10*b**6 + 2/105*b**7 + 0 - 1/6*b**4 - 3*b**2 - 4*b. Solve c(o) = 0.
0, 1
Let d(s) be the third derivative of s**7/2310 + s**6/440 - s**5/660 - s**4/88 - 142*s**2 + 4*s. Find y such that d(y) = 0.
-3, -1, 0, 1
Let w(y) be the first derivative of 2*y**5/45 - y**4/2 + 40*y**3/27 - 4*y**2/3 - 174. What is m in w(m) = 0?
0, 1, 2, 6
Determine n so that -89*n**3 + 88510887 + 201*n**3 + 859329*n + 2781*n**2 - 109*n**3 = 0.
-309
Let r(b) be the third derivative of b**6/420 - 223*b**5/70 + 49729*b**4/28 - 11089567*b**3/21 - b**2 + 60*b. Determine q so that r(q) = 0.
223
Let n(f) = 21*f - 162. Let o be n(8). Let d(t) be the first derivativ