 n + 603/1288. Factor 3/4*p**3 + 5/4*p - v - 3/2*p**2 - 1/8*p**4.
-(p - 3)*(p - 1)**3/8
Let k(i) be the first derivative of 5*i**3/3 + 9520*i**2 + 18126080*i + 1046. Let k(x) = 0. What is x?
-1904
Let x(t) be the third derivative of -t**7/105 - 1831*t**6/15 - 3352561*t**5/5 - 6138539191*t**4/3 - 11239665258721*t**3/3 - 6764*t**2 + 2. Factor x(i).
-2*(i + 1831)**4
Find n such that 163020*n**2 - 488072/3*n - 659/2*n**3 + 0 + 1/6*n**4 = 0.
0, 1, 988
Factor 4/3 + 1/3*y**3 + 2/9*y**4 - y**2 - 8/9*y.
(y - 1)*(y + 2)**2*(2*y - 3)/9
Let b(m) be the first derivative of -1/3*m**3 + 9/10*m**5 - 1/12*m**6 - 7/2*m + 15/4*m**2 - 7/4*m**4 - 64. Factor b(y).
-(y - 7)*(y - 1)**3*(y + 1)/2
Let y(f) be the third derivative of f**6/30 + 826*f**5/15 + 823*f**4/6 - 1100*f**3 + 6*f**2 - 265*f + 2. Solve y(i) = 0.
-825, -2, 1
Let l(b) be the second derivative of -b**6/5 + 1631*b**5/10 + 3817*b**4/6 + 2729*b**3/3 + 546*b**2 - 59*b - 17. Solve l(u) = 0.
-1, -1/3, 546
Let h be ((0 - 18) + (-87)/((-1827)/354))*(-2 - 0). Factor 50/7*n**2 + 18/7*n**3 + h - 12*n.
2*(n - 1)*(n + 4)*(9*n - 2)/7
Let o = -177 - -182. Suppose k + 10 = o*y - 8*y, 3*k - 10 = y. Determine g so that -1/3*g - 1/6*g**k - 1/6 = 0.
-1
Let w(p) be the third derivative of p**6/1020 + 71*p**5/510 + 1295*p**4/204 + 1225*p**3/51 + 473*p**2. Solve w(t) = 0 for t.
-35, -1
Let l be (-6 - -5) + -2 + 6. Suppose -l*a + 11*j + 12 = 7*j, j = -4*a - 3. Factor 0*o + 1/2*o**5 + a - 2*o**2 - 2*o**3 + 1/2*o**4.
o**2*(o - 2)*(o + 1)*(o + 2)/2
Let u be ((-495)/2620)/(147/(-1946)*1). Let o = u + -1/917. Find k, given that 0 - 1/2*k**4 - o*k**3 - 7/2*k**2 - 3/2*k = 0.
-3, -1, 0
Let j(m) = -2 + 6*m**2 - 27*m - 5*m**2 + 25*m. Let c be j(-2). Determine y, given that 32*y + y**2 - c*y**2 - 42*y = 0.
-2, 0
Let p(u) be the second derivative of -2*u**4/27 + u**3/9 + 3*u**2 - 44*u + 10. Solve p(q) = 0 for q.
-9/4, 3
Let p(o) = -51*o + 230. Let t be p(4). Solve t*g**3 + 21*g**2 + 18*g - 12*g**3 - 11*g**3 = 0 for g.
-6, -1, 0
Let h(o) be the third derivative of o**6/120 + 152*o**5/5 + 34656*o**4 + 5450*o**2. Factor h(m).
m*(m + 912)**2
Let t = -362/151 + 3349/1208. Factor t*p**2 - 9/4*p + 27/8.
3*(p - 3)**2/8
Let m be (-2)/5*1/(-4)*-2 + (-41342)/(-103355). Determine g so that 0 - m*g**3 - 3/5*g + 4/5*g**2 = 0.
0, 1, 3
Suppose -18*m**5 + 6*m**4 - 26*m**2 + 0 + 311/2*m**3 - 338*m = 0. Calculate m.
-2, 0, 13/6
Suppose -4*n + 8 = -y, 4*y + 3*n = 37 - 31. Let 18/5*k**2 + 12/5*k**3 + 0*k + y - 6/5*k**4 = 0. Calculate k.
-1, 0, 3
Let c(s) = -12*s**3 - 12*s**2 - s + 32. Let b(g) = -11*g**3 - 13*g**2 - 3*g + 21. Let u(h) = 3*b(h) - 2*c(h). Let u(x) = 0. Calculate x.
-1, -1/3
Let p(x) be the third derivative of 1/180*x**6 + 16*x**2 + 0*x + 1/18*x**5 + 3 + 0*x**3 + 1/9*x**4. Factor p(c).
2*c*(c + 1)*(c + 4)/3
Let x(h) be the third derivative of -42*h**2 + 1/210*h**6 + 0*h + 1/21*h**3 - 1/735*h**7 + 0 - 1/42*h**4 + 0*h**5. Factor x(n).
-2*(n - 1)**3*(n + 1)/7
Solve 21133*z**3 + 29688*z + 19776 - 18643*z**3 + 4*z**4 + 9*z**4 - 4*z**4 + 14868*z**2 - 6*z**4 = 0.
-824, -2
Let b(d) be the first derivative of -8/7*d - 12/7*d**2 + 18/7*d**3 - 42. Factor b(f).
2*(3*f - 2)*(9*f + 2)/7
Let c(f) be the third derivative of -f**2 + 0*f**3 - 7/60*f**6 + 0*f + 1/3*f**4 - 26 + 9/10*f**5. Factor c(r).
-2*r*(r - 4)*(7*r + 1)
Let g(s) = -s**3 + 7*s**2 + 16*s + 22. Let v be g(9). Factor 4*o**3 - o**5 - 2*o**2 - 3*o - o**4 + 3*o**v - 15*o + 15*o.
-o*(o - 3)*(o - 1)*(o + 1)**2
Let h(y) = y**3 + 3*y**2 + 2*y. Let s be h(-2). Suppose s = d - 4*i - 18, -12 = 4*d - 0*i + 5*i. Factor 5*c - d*c - 3*c**3 + c**3 + 4*c**2 - c - 4.
-2*(c - 2)*(c - 1)*(c + 1)
Let g be ((-99)/44 + (-8)/(-2))*(-1288)/(-3381). Let -14/3*x**2 - 4/3*x**3 - 8/3*x + g*x**4 + 0 = 0. What is x?
-1, 0, 4
Let o(z) = -z**3 - 305*z**2 + 2823*z + 30. Let p be o(9). What is y in 3*y - 3/7*y**p - 18/7 + 0*y**2 = 0?
-3, 1, 2
Let b = -176486/3 - -60528. Let c = b - 1698. Find g, given that 1/3*g**5 - 5/3*g**4 + 8/3*g**3 + 0 - c*g**2 + 0*g = 0.
0, 1, 2
Let r(d) be the first derivative of -d**3/3 + 2804*d**2 - 7862416*d + 8881. Solve r(z) = 0 for z.
2804
Suppose 3*m - 20 = w, -m - m + 20 = -2*w. Determine l, given that 4*l - l**2 + 6*l - m*l = 0.
0, 5
Let x be (4/2)/(-2) - (-8)/2. Suppose t + 10 = x*t. Solve 0*b - 4*b**2 - t*b + 21*b = 0 for b.
0, 4
Let k(l) be the second derivative of -l**7/14 + 3*l**6/5 - 3*l**5/4 - 4*l**4 + 6*l**3 + 24*l**2 + 2074*l. What is t in k(t) = 0?
-1, 2, 4
Let s(v) be the second derivative of -v**4/18 + 52*v**3/9 - 676*v**2/3 + 565*v. Solve s(y) = 0 for y.
26
Suppose 89*f - 9 = 86*f. Suppose 2*p - 3*m = -6, -f*p + 7*m - 3*m - 8 = 0. Factor 0 + p*w - 4/3*w**5 + 4*w**4 + 4/3*w**2 - 4*w**3.
-4*w**2*(w - 1)**3/3
Let u(h) = 28*h**2 + 3441*h - 1482639. Let j(z) = 10*z**2 - z + 1. Let q(x) = 3*j(x) - u(x). Determine g so that q(g) = 0.
861
Let i(k) = -8*k + 4. Let d be i(0). Factor -189 + 1634 + 170*c + 4*c**2 + 5*c**2 - d*c**2.
5*(c + 17)**2
Let v = -422 + 451. Let 25*o**4 - v*o**4 - 16*o**3 - 2*o**5 + 14*o**3 = 0. Calculate o.
-1, 0
Let o(p) = -p - 3. Let z be o(-5). What is f in z*f**3 - 32*f**2 + f**3 + 5*f**4 + 61*f**2 + 2*f**3 - 39*f**2 = 0?
-2, 0, 1
Let d(f) be the first derivative of 48 - 9/4*f - 1/12*f**3 + 3/4*f**2. Factor d(z).
-(z - 3)**2/4
Factor 3125*x + 138 - 5660*x + 171*x**2 + 2844*x.
3*(x + 1)*(57*x + 46)
Suppose 385 - 2*j**2 + j**2 + 6*j**2 + 284*j + 106*j = 0. Calculate j.
-77, -1
Factor 42/5*c - 147/5 - 3/5*c**2.
-3*(c - 7)**2/5
Let i = -5892 + 5895. Let y(t) be the first derivative of 3/16*t**2 - 16 - 7/12*t**i + 1/4*t + 3/10*t**5 - 7/48*t**6 + 1/8*t**4. What is o in y(o) = 0?
-1, -2/7, 1
Let t be 7 + (-28)/(-4 + 5). Let j be (16/(-28))/(((-81)/t)/(-3)). Factor 10/9*a - j + 2/9*a**3 - 8/9*a**2.
2*(a - 2)*(a - 1)**2/9
Let x(u) = 137*u**2 + 332*u + 5387. Let y(h) = -36*h**2 - 83*h - 1347. Let d(i) = 5*x(i) + 19*y(i). Factor d(m).
(m + 22)*(m + 61)
Let i(c) be the first derivative of 3*c**5/10 + 183*c**4/8 + 57*c**3 - 183*c**2 - 708*c + 1848. Determine b so that i(b) = 0.
-59, -2, 2
Let f be (-4 - -9)*24/15. Suppose -5*n + f = -n. Factor -n*r + 20*r + 18*r**2 - r + 7*r - 9*r**4 - 33*r**3.
-3*r*(r - 1)*(r + 4)*(3*r + 2)
Solve 608/21*o**2 - 2/21*o**5 - 34/3*o**3 + 96/7 + 40/21*o**4 - 232/7*o = 0.
1, 2, 3, 12
Let z = -19018 + 456437/24. Let r(d) be the second derivative of 30*d + 1/40*d**5 + d**2 + 2/3*d**3 + 0 + z*d**4. Find p such that r(p) = 0.
-2, -1
Factor -2683839454/3 - 2206*g**2 - 2433218*g - 2/3*g**3.
-2*(g + 1103)**3/3
Let t(o) be the second derivative of -o**7/14 + 91*o**6/120 - 11*o**5/5 + 17*o**4/8 + 5*o**3/6 - 25*o**2/8 + 3222*o. Solve t(a) = 0.
-5/12, 1, 5
Let b be (9261/84)/49*((-6)/9 + 2). Let o(l) be the first derivative of -9/2*l**2 + 3/4*l**4 + b + 0*l - 2*l**3. What is j in o(j) = 0?
-1, 0, 3
Solve -356/5*j + 118/5 + 6/5*j**2 = 0.
1/3, 59
Let i be ((-3)/2)/(7 + -10). Suppose -3*f = 3*c - 9, 18 = 4*f - 2*c - 0. Find b, given that -b**f - 5/4*b + 1/4*b**5 + i*b**2 + b**3 + 1/2 = 0.
-1, 1, 2
Let l = 68384/7 + -273529/28. Solve -1/2*k**2 + 0*k + 1/4 + 0*k**3 + l*k**4 = 0.
-1, 1
Suppose h - 36 = -3*b - 15, 4*b = 4*h - 4. Suppose -v + 18 = -h*y + 5*y, v + y - 22 = 0. Factor v*q**2 + 56*q**4 - 6*q**4 - 5*q**4 - 60*q**3.
5*q**2*(3*q - 2)**2
Factor 432 - 1018*l + 2369*l**3 + 36*l**5 - 164*l**4 + 3610*l - 661*l**3 - 118*l**2 + 3394*l**2 + 568*l**4.
4*(l + 2)*(l + 3)**3*(9*l + 2)
Let n(b) = 20*b**4 - 3*b**3 - 177*b**2 - 333*b - 179. Let m(j) = -7*j**4 + j**3 + 59*j**2 + 111*j + 60. Let f(d) = 17*m(d) + 6*n(d). Factor f(p).
(p - 9)*(p + 1)**2*(p + 6)
Let l(z) = 2*z**3 + 211*z**2 + 4787*z - 5013. Let r(k) = -k**3 - 105*k**2 - 2394*k + 2506. Let w(s) = -6*l(s) - 13*r(s). Find g, given that w(g) = 0.
-50, 1
Suppose 23 = 3*l + h, l - h - 7 = -2*h. Suppose 4*c = p + 66, -l + 1 = -c + 5*p. Let 29*m**2 - c*m**2 + 95*m - 18 - 26*m = 0. What is m?
-6, 1/4
Let a(d) be the first derivative of -5*d**4/4 + 15*d**3 - 135*d**2/2 + 135*d + 920. Find r, given that a(r) = 0.
3
Let j = 785 - 783. Let t(x) be the third derivative of 3*x**j + 3/32*x**4 + 0 - 1/80*x**5 + 0*x - 1/4*x**3. Factor t(s).
-3*(s - 2)*(s - 1)/4
Let y(f) = -7*f**3 + 21*f**2 + 133*f - 138. Let g(s) = -s**3 - s**2 + 3*s + 2. Let w(o) = 3*g(o) - y(o). Factor w(u).
4*(u - 9)*(u - 1)*(u + 4)
Let a = 29/43 + -1/129. 