 96/5 - 52/5*i.
-2*(i + 2)*(i + 24)/5
Let b(x) = 11*x - 31. Let a be b(3). Factor 11*n**2 - 46*n - 2*n - 24 - 4*n + 9*n**a.
4*(n - 3)*(5*n + 2)
Let f(d) = 5*d**2 + 9*d - 2. Let k(o) = -28*o**2 - 168*o - 224. Let j(l) = 6*f(l) + k(l). Determine p, given that j(p) = 0.
-2, 59
Find i, given that -288/11*i + 1/11*i**4 - 320/11 - 68/11*i**2 + 0*i**3 = 0.
-4, -2, 10
Let u(q) = -23*q**2 - 37*q. Let c(t) = 7*t**2 + 9*t + 3. Let z(d) = -50*d**2 - 64*d - 22. Let b(n) = 44*c(n) + 6*z(n). Let o(g) = -8*b(g) - 3*u(g). Factor o(w).
5*w*(w + 3)
Let y = -150113/504 - -2383/8. Let r(v) be the first derivative of 2/21*v**2 - 32 + 2/7*v - y*v**3. Find h such that r(h) = 0.
-1, 3
What is t in 13 + 1/4*t**2 + 53/4*t = 0?
-52, -1
Let b(i) be the third derivative of i**6/240 - i**5/10 - 43*i**4/48 - 5*i**3/2 + 29*i**2. Determine c so that b(c) = 0.
-2, -1, 15
Let h be (6 - 6)*(-6)/6. Factor -24*r**3 + 1830 + r**2 - r**4 + 24*r + h*r**2 - 1830.
-r*(r - 1)*(r + 1)*(r + 24)
Let d(y) be the second derivative of 11*y**4/6 + 310*y**3/3 + 56*y**2 + 799*y. Factor d(l).
2*(l + 28)*(11*l + 2)
Let d(r) be the second derivative of -3*r**5/40 + 45*r**4/8 - 483*r**3/4 - 1587*r**2/4 - 272*r. Factor d(q).
-3*(q - 23)**2*(q + 1)/2
Let u(s) be the second derivative of -s**4/12 - 163*s**3/6 - 240*s**2 - 2*s + 1575. Factor u(j).
-(j + 3)*(j + 160)
Let q be (4/(-6))/(24/(-2772)). Let 27 + q*m + 2*m**2 - 104*m + 95 - 97*m = 0. What is m?
1, 61
Let i be 2012/1274 + 94/(-2303). Determine o, given that -34/13*o + 6/13*o**2 + i = 0.
2/3, 5
Let r(n) be the third derivative of n**6/120 - n**5/6 + n**4/12 - 5*n**3/2 - 12*n**2. Let u be r(10). Factor 30*s + 204 - 129 - 2*s**2 + u*s**2.
3*(s + 5)**2
Let o(r) = r**2 - 1. Let v(n) = 29*n**2 - 144*n + 190. Suppose -40 + 44 = 2*k. Let j(i) = k*o(i) - v(i). Find t such that j(t) = 0.
8/3
Let o(k) be the third derivative of -k**7/140 - k**6/5 - 39*k**5/40 + k**4/4 + 13*k**3 + 1365*k**2. Determine v, given that o(v) = 0.
-13, -2, 1
Let g(k) = -8*k**5 + 4*k**4 + 116*k**3 + 197*k**2 - 3*k - 3. Let l(j) = -7*j**5 + j**4 + 114*j**3 + 198*j**2 - 2*j - 2. Let c(p) = 2*g(p) - 3*l(p). Factor c(h).
5*h**2*(h - 5)*(h + 2)*(h + 4)
Let b(r) be the first derivative of -r**4/14 + 146*r**3/21 + 150*r**2/7 - 3555. Suppose b(y) = 0. Calculate y.
-2, 0, 75
Let c(x) be the second derivative of -x**7/28 - 237*x**6/20 - 1401*x**5/40 + 705*x**4/8 + 109*x - 6. Find n such that c(n) = 0.
-235, -3, 0, 1
Let b be (2/4)/(667/44022). Let v(n) be the second derivative of 0*n**2 + b*n + 0*n**3 - 1/180*n**5 + 0 - 1/270*n**6 + 1/54*n**4. Find g such that v(g) = 0.
-2, 0, 1
Let i = 23614/35583 + 36/11861. Solve i*u**2 + 2/3*u**3 + 0 - 4*u = 0.
-3, 0, 2
Suppose 4*z = 4*s - 12, 26 = 2*s - z + 21. Determine r, given that -2*r**2 + r**3 + 0*r**3 - 2*r**s + 0*r**2 - 3*r + 6*r**2 = 0.
-3, 0, 1
Let o be (1 - (-16)/(-56)) + (-2032)/5334. Let 9 + 26/3*a - o*a**2 = 0. What is a?
-1, 27
Let j(a) = -3*a**4 - a**2 + 1. Let k(z) = 4*z**5 + 81*z**4 + 492*z**3 + 747*z**2 + 336*z + 1. Let b(l) = -j(l) + k(l). Determine t, given that b(t) = 0.
-12, -7, -1, 0
Let m(k) = -64*k**2 - 2819*k - 129. Let j be m(-44). Let x(c) be the third derivative of 7/8*c**4 + 0 - 43*c**2 + 9/20*c**5 - c**j + 0*c. Factor x(o).
3*(o + 1)*(9*o - 2)
What is b in 436/9*b**3 - 32264/3*b + 2/9*b**4 + 10952 + 22874/9*b**2 = 0?
-111, 2
Suppose -12 = u + 2*m, -60*m = -4*u - 59*m + 15. What is j in 0*j - 1/5*j**4 + 0*j**3 + 0*j**u + 1/5*j**5 + 0 = 0?
0, 1
Let k(w) = 6*w**3 + 8*w**2 + 2*w - 12. Let j(o) = -o + 3 - 2 + 0 - o**3. Let a be ((-64)/88)/(16/(-88)). Let m(t) = a*j(t) + k(t). Solve m(y) = 0 for y.
-4, -1, 1
Let u(y) be the first derivative of -2/21*y**3 + y**2 + 16/7*y + 43. Factor u(z).
-2*(z - 8)*(z + 1)/7
Suppose 0 = -6*p - 0. Suppose -2*n + y = -52, -n - 2*y + 9 + 12 = p. Find q, given that n*q**4 - 2 + q**2 + 3*q**2 - 27*q**4 = 0.
-1, 1
Let f = 787/1855 - 9/371. What is q in -52/5 + f*q**2 + 22/5*q = 0?
-13, 2
Let k(c) = -c**3 - 3*c**2 + 21*c + 58. Let s = 531 + -536. Let u be k(s). What is w in -2/7*w**4 - 4/7*w**u + 0 + 0*w - 2/7*w**2 = 0?
-1, 0
What is t in -74/11*t + 540/11 + 2/11*t**2 = 0?
10, 27
Let k = -85527 + 85529. Let -15/2*t - 27/4*t**k - 21/8*t**3 - 3 - 3/8*t**4 = 0. What is t?
-2, -1
Let n(q) be the first derivative of 22*q**3/9 - 64*q**2/3 + 30*q - 1814. Let n(y) = 0. What is y?
9/11, 5
Let k = 534 - 507. Factor -10404 + 13*s**3 + 10*s**3 + 5*s**3 + 404*s**2 + 9996*s + 3*s**3 - k*s**3.
4*(s - 1)*(s + 51)**2
Let p(s) be the first derivative of -125*s**6/6 - 202*s**5 + 1835*s**4/2 - 3700*s**3/3 + 1055*s**2/2 + 110*s - 524. Solve p(c) = 0 for c.
-11, -2/25, 1
Let k(l) be the third derivative of -l**6/420 + 3*l**5/70 + 5*l**4/2 + 200*l**3/21 + l**2 - 2020*l + 1. Factor k(b).
-2*(b - 20)*(b + 1)*(b + 10)/7
Suppose -6831*g = -6833*g. Suppose g = -3*s - 190 + 208. Factor 4/3*t**3 + 0*t**2 + 0*t + 14/3*t**5 + s*t**4 + 0.
2*t**3*(t + 1)*(7*t + 2)/3
Solve 268 + 15*c**2 + c**3 - 169*c + 277*c + 29*c**2 + 19*c**2 - 372*c = 0.
-67, 2
Let g(t) be the third derivative of -t**6/40 - 3*t**5/20 + 2*t**3 - 4*t**2 - 146*t. Find q such that g(q) = 0.
-2, 1
Let o = -584 + 582. Let k(j) = 4*j**2 + 53*j + 149. Let b(v) be the first derivative of 2*v**3/3 + 13*v**2 + 74*v + 1. Let x(p) = o*k(p) + 5*b(p). Factor x(g).
2*(g + 6)**2
Factor 1440 + 864*n - 148*n - 7*n**2 - 4*n**2 + 10*n**2 - n**2.
-2*(n - 360)*(n + 2)
Suppose 3*l = 50 + 1165. Factor 18225*a + l*a**2 + 20556 + 63056 + 3*a**3 + 189763.
3*(a + 45)**3
Let x(b) = -2*b**2 - 925*b + 212518. Let j(h) = -h**2 - 924*h + 212519. Let c(t) = -3*j(t) + 2*x(t). Find a, given that c(a) = 0.
461
Let m(o) be the third derivative of 13*o**5/300 - 7*o**4/40 - 9*o**3/5 - 515*o**2. Factor m(l).
(l - 3)*(13*l + 18)/5
Let q be (20/25)/4 - 5748/(-60). Let c be 6/1 - q/20. Factor 2/5*o**2 - 8/5 - c*o.
2*(o - 4)*(o + 1)/5
Let q(a) be the first derivative of -9*a**4/4 - 14*a**3 + 15*a**2/2 + 1257. Factor q(t).
-3*t*(t + 5)*(3*t - 1)
Let y = -2902049/450 - -6449. Let q(p) be the third derivative of y*p**5 + 0*p - 1/900*p**6 + 0 + 0*p**4 + 0*p**3 - 9*p**2. Factor q(d).
-2*d**2*(d - 1)/15
Suppose 9*x - 194 = -19*x - 63*x + 79. Factor -7/4*m**x - 3/4*m - 1/2 + 3*m**2.
-(m - 1)**2*(7*m + 2)/4
Let i(x) be the first derivative of -x**3/3 + 7*x**2 - 38*x - 271. Let p be i(4). Factor 1/6*v**p - 1/3*v - 2/3 + 1/12*v**3.
(v - 2)*(v + 2)**2/12
Suppose -41*t + 13*t + 56 = 0. Let -103*w + 123*w + t*w**2 - 4*w**2 + 7*w**2 = 0. Calculate w.
-4, 0
Let s = -43758 + 87519/2. What is r in 4*r**3 - 1 - s*r**5 - 2*r**4 + 3*r**2 - 5/2*r = 0?
-2, -1, -1/3, 1
Let -32/7*k + 242/7*k**2 + 1/7*k**5 + 121/7*k**3 + 20/7*k**4 - 352/7 = 0. Calculate k.
-11, -4, -2, 1
Let b be (-4)/(-3)*252/14. Suppose -23*o + b*o = 3. Let -l**4 - o*l + 3*l**3 - l**2 + 5*l**4 + 4*l**2 - 7*l**4 = 0. Calculate l.
-1, 0, 1
Let i = -13672 - -13674. Let y(p) be the second derivative of -7*p - 4/3*p**3 + 2/5*p**6 + 0*p**i - p**4 + 0 + 1/5*p**5 + 2/21*p**7. Factor y(f).
4*f*(f - 1)*(f + 1)**2*(f + 2)
Let d(o) be the third derivative of -o**6/24 + 19*o**5/12 + 445*o**4/24 + 115*o**3/2 - 44*o**2 + 17. Factor d(q).
-5*(q - 23)*(q + 1)*(q + 3)
Factor 326432/9 - 800/9*o**2 - 78376/9*o - 2/9*o**3.
-2*(o - 4)*(o + 202)**2/9
Let g(z) be the first derivative of 21*z**5/5 + 267*z**4/4 - 138*z**3 - 246*z**2 + 168*z - 591. Suppose g(f) = 0. Calculate f.
-14, -1, 2/7, 2
Let a(d) be the first derivative of 0*d + 2/45*d**5 + 4/27*d**3 + 1/6*d**4 + 0*d**2 - 76. Let a(v) = 0. What is v?
-2, -1, 0
Suppose -72 - 2/7*h**2 - 64/7*h = 0. Calculate h.
-18, -14
Factor 865 - 892*m**2 - 895*m**2 - 860*m + 1782*m**2.
-5*(m - 1)*(m + 173)
Let z be 6 - ((12 - (-120)/(-12)) + (-258)/(-65)). Let x(f) be the first derivative of 3 + 6/13*f**3 + 0*f**2 + z*f**5 + 0*f - 3/13*f**4. Factor x(w).
2*w**2*(w - 3)**2/13
Let t(o) be the first derivative of -2*o**3/27 - 50*o**2/9 + 1330. Factor t(a).
-2*a*(a + 50)/9
Let l be ((-90)/(-24) - (-2135)/(-244))*(-4)/50. Factor -1/5*v**5 - 1/5*v**3 + 0*v**2 + l*v**4 + 0*v + 0.
-v**3*(v - 1)**2/5
Suppose 0 = -4*b - 439 + 491. Determine x so that -5*x**2 - 4*x**3 + 5 + 14*x + 3*x**3 - b*x = 0.
-5, -1, 1
Factor -217/2*h**2 - 1/4*h**3 + 0 - 47089/4*h.
-h*(h + 217)**2/4
Let g(r) be the first derivative of r**3/15 - 3*r**2/2 - 20*r + 6683. Factor g(k).
