6*a**3 + 0 + 100*a + 25/4*a**5 = 0 for a.
-2/5, 0, 10
Let r be ((-238)/2142)/(5*((-6)/12 + 41/90)). Factor 1250*v**2 + r + 50*v.
(50*v + 1)**2/2
Let z be -2 + (-160)/28 - (31 + -39). Let w(s) be the first derivative of 4/21*s**3 + z*s + 13 + 3/7*s**2. Factor w(v).
2*(v + 1)*(2*v + 1)/7
Let d(z) be the second derivative of -z**7/420 - 7*z**6/360 + 19*z**4/12 - z**2 + 54*z + 2. Let g(m) be the third derivative of d(m). Factor g(u).
-2*u*(3*u + 7)
Let s(t) = -t**4 - t + 3. Let y(a) = 519*a**4 - 1270*a**3 + 460*a**2 - 46*a + 18. Let l(i) = 6*s(i) - y(i). What is m in l(m) = 0?
0, 2/15, 2/7, 2
Solve 20/7*g**4 + 176/7*g**3 + 0 + 244/7*g**2 - 8*g = 0 for g.
-7, -2, 0, 1/5
Let o = 785 + -8627/11. Let q(j) be the first derivative of 15 + 4/11*j**2 - o*j - 1/11*j**4 + 2/11*j**3 - 2/55*j**5. Determine p, given that q(p) = 0.
-2, 1
What is j in 584/5*j**2 - 2/5*j**3 + 2304/5 - 2312/5*j = 0?
2, 288
Factor -18*w**2 + 8*w**3 + 216*w**2 + 36 + 16 + 120*w - 378*w.
2*(w - 1)*(w + 26)*(4*w - 1)
Let c(x) be the first derivative of 7*x**4/6 + 376*x**3/3 + 748*x**2/7 + 640*x/21 + 1494. Factor c(q).
2*(q + 80)*(7*q + 2)**2/21
Let x(a) be the second derivative of a**4/12 + 1367*a**3/6 - 684*a**2 - 8175*a. Let x(i) = 0. Calculate i.
-1368, 1
Let o(v) be the second derivative of v**5/40 - 5*v**4/12 - v**3/3 + 10*v**2 + 432*v + 2. Suppose o(r) = 0. What is r?
-2, 2, 10
Suppose 4*z + 3*x - 133 = 40, 42 = z + 2*x. Suppose -z*h + 42 = -23*h. Factor 3*p + 9/2 + 1/2*p**h.
(p + 3)**2/2
Let a(d) be the third derivative of 2/15*d**6 + 1/5*d**5 + 0*d + 1 - 8/3*d**3 + d**2 + 2/105*d**7 - 2/3*d**4. Solve a(r) = 0.
-2, -1, 1
Suppose -7 - 1 = -4*n. Let z be (4/(-1) - 5122/(-1379))*(-14)/2. Let 2 + b**z - 8*b**n + 2*b + 5*b**2 + 0*b**2 - 2*b**3 = 0. What is b?
-1, 1
Let o(f) = 9*f**2 - 146*f + 468. Let v(q) = 6*q**2 - 97*q + 312. Let l(b) = 5*o(b) - 7*v(b). Suppose l(c) = 0. What is c?
4, 13
Let p = -2/78139 - -8204599/156278. Factor -p*d - 25/2*d**2 - 245/6 - 5/6*d**3.
-5*(d + 1)*(d + 7)**2/6
Let x = 154047 - 1387876/9. Let l = -161 - x. Factor l*n**2 + 0 + 2/9*n.
2*n*(2*n + 1)/9
Factor 48*z + 86632*z**2 + 22*z**4 - 6*z**4 + 172*z**3 - 86868*z**2.
4*z*(z - 1)*(z + 12)*(4*z - 1)
Solve 28152*z**2 - 2628072 + 1/2*z**4 - 206*z**3 - 1256904*z = 0 for z.
-2, 138
Let h(y) = -y**3 - 4*y**2 + 2*y - 10. Let u be (-8)/24 + (-22)/6 + -1. Let l be h(u). Factor -7*a**3 - 25*a**4 + a**l + 5*a**3 + 26*a**4.
a**3*(a - 1)*(a + 2)
Suppose 0 = 5*w - 5*g + 12655, 3*g + 10 = -2. Let r be -1*(1 - -4) - 13351/w. Determine a so that -2/15*a**3 + 8/15*a + r*a**2 - 16/15 = 0.
-2, 2
Let f(m) be the third derivative of m**5/120 - 293*m**4/24 + 85849*m**3/12 + 1128*m**2. Suppose f(l) = 0. What is l?
293
Let s(u) be the third derivative of u**4/24 + u**3/6 + 47*u**2. Let n(g) = 4*g**3 - 20*g. Let b(y) = n(y) + 8*s(y). Factor b(c).
4*(c - 1)**2*(c + 2)
Let a be (-5)/6*(-6948)/2895. Let j(q) be the second derivative of 0*q**a - 33*q + 0*q**3 - 9/20*q**5 - 1/2*q**4 + 0 - 1/10*q**6. Factor j(v).
-3*v**2*(v + 1)*(v + 2)
Suppose -b + 2*b + 132 = -3*a, -5*b - 638 = 4*a. Let i = -124 - b. What is l in 8 + 3*l - 4*l + 2*l**i - 7*l = 0?
2
Let g(h) be the second derivative of 1/24*h**4 - 3/4*h**3 - 21 + 4*h - 5/2*h**2. Factor g(a).
(a - 10)*(a + 1)/2
Let k(j) be the second derivative of j**4/18 + 460*j**3/9 - 461*j**2/3 + j + 1071. Solve k(u) = 0 for u.
-461, 1
Let m(i) be the second derivative of i**5/150 + 4*i**4/15 - 12*i**3/5 + 41*i**2 + 14*i - 2. Let o(y) be the first derivative of m(y). Factor o(d).
2*(d - 2)*(d + 18)/5
Let k(s) = -s**3 - 23*s**2 + 196*s + 4511. Let h be k(-23). Factor -27/7 + 3/7*d**2 + 1/7*d**h - 9/7*d.
(d - 3)*(d + 3)**2/7
Let b be (-12)/(-78) + 8701/143. Factor 66*d**3 + 63*d**3 - 192*d**3 + b*d**3 - 30*d**2.
-2*d**2*(d + 15)
Let w(y) be the second derivative of 3*y**5/20 + 29*y**4/16 + 61*y**3/8 + 27*y**2/2 - 793*y. Factor w(k).
3*(k + 1)*(k + 4)*(4*k + 9)/4
Factor 17912*s**2 - 292*s + 463 + 737 - 17914*s**2.
-2*(s - 4)*(s + 150)
Let z(h) = 2*h**2 + h - 1. Let x(u) = 11*u**2 + 566*u - 1122. Let n(s) = 5*x(s) - 30*z(s). Solve n(i) = 0 for i.
2, 558
Let q(j) be the second derivative of -j**5/40 - 2*j**4 + j**3/3 + 48*j**2 - 6022*j. Factor q(z).
-(z - 2)*(z + 2)*(z + 48)/2
Let o(x) be the third derivative of -x**8/672 + x**7/420 + x**6/20 - 12*x**2 + x - 24. Factor o(z).
-z**3*(z - 4)*(z + 3)/2
Let g(h) = -227*h**2 + 2*h + 3. Let c be g(-1). Let o = c - -228. Factor 1/2*r**2 + 2 + o*r.
(r + 2)**2/2
Let s(k) be the first derivative of k**8/336 - k**7/168 - k**6/18 + k**5/6 - k**3/3 + k + 16. Let b(x) be the third derivative of s(x). Factor b(i).
5*i*(i - 2)*(i - 1)*(i + 2)
Suppose 0 = -9*r + 369 - 261. Suppose -151*x + 157*x - r = 0. Find c, given that 5/4 + 1/4*c**x - 3/2*c = 0.
1, 5
Suppose 7*v - 220 = -52. Factor 86*y + 44*y**2 + 73*y**3 - 33*y**3 + v - 34*y**3.
2*(y + 3)*(y + 4)*(3*y + 1)
Let b(g) = 840*g + 10924. Let k be b(-13). Factor 4/3*o - 1/6 - 11/3*o**2 - 3/2*o**4 + k*o**3.
-(o - 1)**2*(3*o - 1)**2/6
Factor 16*w**4 + 102*w**3 + 108850*w - 4970*w - 11*w**4 - 6636*w**2 - 510384 - 3*w**4.
2*(w - 14)**3*(w + 93)
Let y = -313 - -250. Let u = 65 + y. Factor -1/11 - 25/11*l**u + 10/11*l.
-(5*l - 1)**2/11
Let q(u) be the first derivative of -2*u**5/5 - 57*u**4/2 - 218*u**3/3 + 57*u**2 + 220*u + 3086. Solve q(g) = 0.
-55, -2, -1, 1
Let h be 0 - 1 - (-1020 + -1). Let j be 24/(-516) + (-1144)/(-559). Factor 5*z**j + z**3 - z**2 + h*z - 1016*z.
z*(z + 2)**2
Find a such that -526/5*a**3 + 62*a - 6*a**4 + 68/5 - 254/5*a**2 = 0.
-17, -1, -1/5, 2/3
Let v = -95107 - -95109. Factor 2/7*m**v + 76/7*m + 74/7.
2*(m + 1)*(m + 37)/7
Let w be ((-82)/(-164))/(-2 + (-18)/(-8)). Let p(n) be the third derivative of -3*n**4 + w*n**2 + 9/20*n**5 - 1/40*n**6 + 0*n + 0 + 8*n**3. Factor p(t).
-3*(t - 4)**2*(t - 1)
Let a = 121 + -119. Factor 2*j**3 - 12*j**3 + 166*j - 144*j + 4*j**4 - 4*j**a - 8 - 4.
2*(j - 2)*(j - 1)**2*(2*j + 3)
Let y(w) be the second derivative of w**5/50 + 41*w**4/5 + 992*w**3 - 30752*w**2/5 - 219*w - 1. Find p, given that y(p) = 0.
-124, 2
Let f(n) = n**2 - 1. Let c(y) = -16*y**2 - 147*y - 1432. Let h(z) = -8*z**2 - 73*z - 716. Let r(x) = 3*c(x) - 5*h(x). Let t(s) = 6*f(s) + r(s). Factor t(a).
-2*(a + 19)**2
Let s(u) be the third derivative of -169*u**6/1800 - 39*u**5/100 - 27*u**4/40 - 163*u**3/6 - 163*u**2. Let h(x) be the first derivative of s(x). Factor h(g).
-(13*g + 9)**2/5
Let 90*r - 15*r**4 + r**4 - 1725*r**2 + 1851*r**2 - 202*r**3 = 0. Calculate r.
-15, -3/7, 0, 1
Suppose -2 = -r - r. Let g be 56/16*6*r. What is l in 20 + 15*l - 18*l**3 + 6*l**4 - g*l**2 - l**4 - 4*l**2 + 3*l**3 = 0?
-1, 1, 4
Let i(k) = 9*k**2 - 16*k + 19. Let b(q) = -10*q**2 + 15*q - 20. Suppose -2*x = -3*x - 8. Let g be (2 + x - -2)*1. Let w(n) = g*b(n) - 5*i(n). Factor w(j).
-5*(j - 3)*(j - 1)
Let l(b) be the second derivative of b**5/90 - 94*b**4/27 + 8836*b**3/27 - 285*b - 4. Factor l(d).
2*d*(d - 94)**2/9
Let i(w) = 19*w**3 - 213*w**2 + 405*w + 44. Let l(h) = -10*h**3 + 106*h**2 - 202*h - 24. Let a(o) = -6*i(o) - 11*l(o). Factor a(q).
-4*q*(q - 26)*(q - 2)
Let p(b) be the second derivative of -b**4/6 + 26*b**3 - 7171*b. Solve p(h) = 0.
0, 78
Let w(g) be the third derivative of -4*g**5/15 - 151*g**4/6 + 76*g**3/3 - 1950*g**2. Suppose w(q) = 0. Calculate q.
-38, 1/4
Let p(i) = -5*i**2 + 183*i + 1487. Let d(q) = 15*q**2 - 550*q - 4455. Let w(g) = 3*d(g) + 10*p(g). Solve w(x) = 0.
-7, 43
Suppose 0 = 6*h + k - 1, -5*h - 3617*k = -3615*k + 12. Factor 10*y + 2/5*y**3 + 4*y**h + 0.
2*y*(y + 5)**2/5
Let x(w) = w - 13. Let s = 137 + -122. Let g be x(s). Factor -9*u**3 - 12*u**g - 14 - 11*u + 20*u + 26*u + 64.
-(u - 2)*(3*u + 5)**2
Let f = 408 - 406. What is r in 12*r**2 - 12*r - 8*r**2 - 2*r**4 + 3*r**4 + 15*r**3 + 4 - 3*r**2 - 3*r**5 - 6*r**f = 0?
-2, -1, 1/3, 1, 2
Let h(z) be the third derivative of z**7/315 + 17*z**6/60 - 119*z**5/30 - 863*z**4/36 - 152*z**3/3 + 10*z**2 + 11*z + 3. Determine t so that h(t) = 0.
-57, -1, 8
Suppose -346*a = -344*a - 6. Factor -8*y**3 + 12 - 25*y - 2 - 16*y**3 - 55*y**2 + 4*y**a.
-5*(y + 1)*(y + 2)*(4*y - 1)
Suppose 106 = 16*o - 1030. Suppose -o + 95 = 8*c. Factor 0 - c*b**2 - 3/2*b**4 + 9/2*b**3 + 0*b.
-3*b**2*(b - 2)*(b - 1)/2
Let i(v) = -v**3 - 7*v**2 - 6*v + 1. Let m be i(-6). Suppose 0