2 + 46*a**2 + 4*a**3.
2*a*(a + 1)*(a + 2)**2
Let 152/3 - 142/15*s - 2/15*s**2 = 0. What is s?
-76, 5
Let c(g) be the third derivative of -g**6/90 + 7*g**5/45 + 7*g**4/9 - 32*g**3/3 + 1740*g**2. What is u in c(u) = 0?
-3, 2, 8
What is t in 72/7*t + 62/7*t**4 + 566/7*t**3 + 408/7*t**2 + 0 - 4*t**5 = 0?
-3, -1/2, -2/7, 0, 6
Let m be 1*6 + (-54640)/8536*1. Let q = 14/97 - m. Determine d so that q*d - 2/11*d**2 + 8/11 = 0.
-1, 4
Let n(r) be the second derivative of r**4/34 - 7*r**3/51 - 6*r**2/17 - 937*r. Find h such that n(h) = 0.
-2/3, 3
Let t(a) be the third derivative of 23/1080*a**6 - 1/1890*a**7 + 0*a**3 + 0 + 0*a - 5*a**2 + 25/216*a**4 + 49/540*a**5. Factor t(r).
-r*(r - 25)*(r + 1)**2/9
Factor 48*m - 497*m**2 + 1001*m**2 - 501*m**2 - 171.
3*(m - 3)*(m + 19)
Suppose 5*w - 20 = -3*n + n, 0 = -w + 5*n - 23. Suppose -z = -4*u + 11, -w*u + 17 = u + z. Suppose 4*k**2 - 12*k - 16 - u*k**3 + 37*k - 9*k = 0. What is k?
-2, 1, 2
Let g(j) = 2*j**3 - 293*j**2 + 130*j + 2340. Let f be g(146). Find n, given that -4/9*n**3 - f*n**2 + 0*n + 48 = 0.
-6, 3
Let v(f) be the third derivative of 1/150*f**5 - 11/60*f**4 - 93*f**2 + 0 + 0*f + 2/3*f**3. Factor v(i).
2*(i - 10)*(i - 1)/5
Factor 4569 - y**2 + 688*y + 3*y**2 + y**2 + y**2 - 5961.
4*(y - 2)*(y + 174)
Suppose -12 = -3*u + 3*d - 3, -3*d = -5*u + 15. Determine q, given that 32*q**u - 23 - 24*q**4 + 68*q**2 - 12*q + 7 - 28*q**2 - 20*q**5 = 0.
-1, 4/5, 1
Let k = -236 + 274. Suppose -k*z**3 + 520*z**3 - 7447801 - 58080*z**2 + 398*z**3 - 11292679 + 1703680*z - 5*z**4 = 0. Calculate z.
44
Let c(p) be the second derivative of p**6/80 + 471*p**5/160 + 6083*p**4/32 - 6241*p**3/16 + 60*p + 4. Factor c(j).
3*j*(j - 1)*(j + 79)**2/8
Let s(i) be the second derivative of -i**4/6 + 46*i**3/15 - 93*i**2/5 - 2761*i. Let s(c) = 0. What is c?
3, 31/5
Let y(g) be the first derivative of -5*g**4/6 + 458*g**3/9 + 52*g**2/3 - 184*g - 278. Find r, given that y(r) = 0.
-6/5, 1, 46
Suppose -137 = -4*y + 3*g, 3*y + 4*g - 87 = g. Let -y*n - 3 + 5*n**3 + 43*n - 26*n + 13 = 0. What is n?
-2, 1
Let n(i) be the first derivative of -5*i**3 + 2305*i**2/2 + 770*i - 1366. Find g, given that n(g) = 0.
-1/3, 154
Let f(x) = 4*x**2 - 1845*x + 7. Let t(p) = -12*p**2 + 5536*p - 20. Let u(y) = 20*f(y) + 7*t(y). Find z, given that u(z) = 0.
0, 463
Suppose 67*d = -87*d + 137*d + 34. Let r(t) be the first derivative of 1/12*t**4 + 11/6*t**d + 5/3*t - 3 + 7/9*t**3. Solve r(x) = 0 for x.
-5, -1
Let a(y) be the second derivative of -6*y + 7/48*y**3 + 1/16*y**4 - 10 + 0*y**2 - 1/160*y**5. Factor a(u).
-u*(u - 7)*(u + 1)/8
Let g = 1355176 + -1355172. Factor 25*r - 12 + 0*r**3 + 1/2*r**g - 27/2*r**2.
(r - 4)*(r - 1)**2*(r + 6)/2
Suppose -4*j - 4*f = 108, 0 = -5*j + 2*f - 6*f - 139. Let a = 34 + j. Determine b, given that -2*b**3 + 0 + 6*b - 2 + a - 5 = 0.
-2, 1
Let o be (-58)/12 + 1083070/117300. Let 92/5*p**2 + o*p**4 - 58/5*p - 68/5*p**3 + 14/5 - 2/5*p**5 = 0. Calculate p.
1, 7
Let z(s) be the first derivative of -40*s + 16/3*s**3 - 3 - 14*s**2 + s**4. Factor z(c).
4*(c - 2)*(c + 1)*(c + 5)
Let g be 3615/30 + 1/(-2). Suppose 2*a = 12*a - g. Factor -t**3 - a + 2*t**3 + 19*t**2 - 10*t**2 - 4*t**3.
-3*(t - 2)**2*(t + 1)
Let l(w) be the second derivative of w**5/40 - 7*w**4/12 + 43*w**3/12 - 15*w**2/2 - 407*w + 2. Factor l(c).
(c - 10)*(c - 3)*(c - 1)/2
Let l(c) be the first derivative of 3/5*c**5 + 6*c - 3/2*c**2 - 3*c**3 + 3/4*c**4 + 82. Factor l(s).
3*(s - 1)**2*(s + 1)*(s + 2)
Let k(s) = 110*s**2 + 1540*s - 1740. Let o(m) = -5*m**2 - 70*m + 79. Let f(d) = 2*k(d) + 45*o(d). Suppose f(q) = 0. What is q?
-15, 1
Let f = -78 + -61. Let d = -407/3 - f. Suppose d + 7/3*b**2 - 37/3*b = 0. Calculate b.
2/7, 5
What is o in 8424*o - 243 - 8*o**2 - 16897*o + 8338*o + 3*o**3 - o**2 = 0?
-3, 9
Let g(d) = d**3 - 12*d**2 - 19*d - 34. Let s be g(17). Suppose -4144*j**2 - 2*j**5 + 4966*j + 5260 - s*j**3 + 5716 - 82*j**4 + 2874*j = 0. Calculate j.
-14, -1, 2
Let l(o) be the second derivative of 2*o + 0 + 0*o**2 - 5/6*o**4 - 5/6*o**3 - 1/4*o**5. What is h in l(h) = 0?
-1, 0
Suppose -3*b = -11*b + 16 + 16. Suppose -f + 2 = -0. Factor 7*g**4 - 9*g**b + 8*g**f + 2*g**4 - 12*g**3 + 4*g**5.
4*g**2*(g - 1)**2*(g + 2)
Let b(a) be the third derivative of 0*a + 0*a**4 + 1/210*a**5 - 11 - 3/7*a**3 + 2*a**2. Factor b(t).
2*(t - 3)*(t + 3)/7
Let p(m) be the first derivative of 2*m**7/21 + 2*m**6/15 - 3*m**5/5 - 5*m**4/3 - 4*m**3/3 + 22*m + 139. Let z(f) be the first derivative of p(f). Factor z(u).
4*u*(u - 2)*(u + 1)**3
Suppose 5186*k - 118440 = 4199*k. Solve 4/7*d**2 + 6300 - k*d = 0.
105
Let b(z) = -2*z**4 - z - 1. Let s(n) = 8*n**4 - 36*n**3 - 616*n**2 - 574*n + 2. Let p(h) = -2*b(h) - s(h). Suppose p(u) = 0. Calculate u.
-8, -1, 0, 18
Let t(d) be the second derivative of -d**7/56 - d**6/10 - 9*d**5/40 - d**4/4 - d**3/8 - 1273*d. Solve t(q) = 0.
-1, 0
Let q(m) be the first derivative of m**3/7 + 1446*m**2/7 + 696972*m/7 + 997. Factor q(d).
3*(d + 482)**2/7
Determine a, given that 0 + 90/7*a - 36/7*a**2 + 2/7*a**3 = 0.
0, 3, 15
Let g(x) be the third derivative of -x**6/6 - 299*x**5/15 - 235*x**4/6 + 118*x**3/3 + 4724*x**2 - 2*x. Factor g(r).
-4*(r + 1)*(r + 59)*(5*r - 1)
What is g in 2*g**2 - 3*g**4 - 22*g + 12*g**2 + 27*g**3 + 9*g**2 - 38*g + 13*g**2 = 0?
-2, 0, 1, 10
Let n be (-3224254)/(-4477) - (-2)/(-11). Let n - 55*l**2 + 240*l + 5/2*l**3 = 0. What is l?
-2, 12
Suppose -21 = -44*h + 37*h. Suppose -n + 7*s = 2*s - 12, 5*n = h*s + 16. Factor -2/9 - 2/9*q**n - 4/9*q.
-2*(q + 1)**2/9
Let q(l) = -5*l + 185. Let f be q(36). Let m(c) be the third derivative of 0 + 0*c**3 - 17*c**2 - 1/12*c**f - 5/12*c**4 + 1/24*c**6 + 0*c. Factor m(n).
5*n*(n - 2)*(n + 1)
Let g(x) be the third derivative of x**6/24 - 19*x**5/3 + 550*x**4/3 + 19360*x**3 - 4035*x**2. Factor g(v).
5*(v - 44)**2*(v + 12)
Let r(w) be the third derivative of w**5/210 - 3*w**4/56 - 7261*w**2. Factor r(s).
s*(2*s - 9)/7
Let c(a) be the third derivative of 0*a - 1 + 1/120*a**6 + 0*a**5 + 0*a**4 + 1/210*a**7 + 62*a**2 + 0*a**3. Determine x so that c(x) = 0.
-1, 0
Find w such that -109 + 35*w - 10*w + 50 + 53 + 9*w**2 = 0.
-3, 2/9
Let c(s) = -2*s**2 + 606*s - 35680. Let j be c(223). Let f = -5 + 7. Factor 0*z + 0*z**3 + 0 + j*z**f + 1/2*z**4.
z**4/2
Determine n, given that 56*n**3 - 1241 - 8*n**4 - 3003*n**2 + 216*n**3 + 11737*n - 2010 - 5*n**3 - 742 = 0.
3/8, 11
Let r(m) be the second derivative of 0 + 2/5*m**4 - 8/25*m**5 - 12/5*m**2 + 106*m + 2/105*m**7 + 0*m**6 + 14/15*m**3. Suppose r(v) = 0. Calculate v.
-3, -1, 1, 2
Suppose -69/5*t - 36/5 + 3/5*t**3 - 6*t**2 = 0. Calculate t.
-1, 12
Let u(b) = 5*b**2 - 26. Let v(z) = 20*z**2 - 105. Suppose 0 = 15*q - 154 + 64. Let a = -53 + 28. Let d(o) = a*u(o) + q*v(o). Find k, given that d(k) = 0.
-2, 2
Let p be 80/36*27/3. Let d be (0 + p/35)/(15/70). What is g in 0 + 2/3*g + d*g**2 = 0?
-1/4, 0
Suppose 39*a - 829*a + 2370 = 0. Find b, given that 3/5*b**2 + 2/5*b + 1/5*b**a + 0 = 0.
-2, -1, 0
Let x(z) be the first derivative of z**7/840 + z**6/360 - z**5/20 - 194*z**3/3 + 67. Let f(o) be the third derivative of x(o). Factor f(n).
n*(n - 2)*(n + 3)
Suppose -3791*g = -3788*g - 6. Let t = 22 + -41/2. Solve 1/2 - t*k + 3/2*k**g - 1/2*k**3 = 0.
1
Let k(j) = 324*j - 1620. Let n be k(5). Let p(f) be the second derivative of -1/16*f**4 - 11*f + n - 3/8*f**2 - 5/12*f**3. Factor p(v).
-(v + 3)*(3*v + 1)/4
Let a = 45 + -59. Let q = a - -56. Let q*w**2 - 12*w + 33*w**2 + 10 - 1 - 72*w**2 = 0. Calculate w.
1, 3
Let i be ((-4)/(-4))/2 - 6/(-4)*5307/783. Find k, given that -27/2*k**4 + 112/3*k - 42*k**3 - i - 26/3*k**2 = 0.
-2, 4/9
Factor -1292/5*o + 558/5*o**2 + 8/5*o**3 + 288/5.
2*(o - 2)*(o + 72)*(4*o - 1)/5
Suppose 0*m - 2*m + 5*i + 815 = 0, -m + 410 = -5*i. Suppose -q + 4*x + 124 = 0, -x - m = -0*q - 3*q. Let -144*n + n**2 - 6 - 3*n**2 + q*n = 0. Calculate n.
-3, -1
Let y(k) be the third derivative of -k**7/840 + k**6/12 - 179*k**5/240 + 35*k**4/24 - 842*k**2 + k. Factor y(o).
-o*(o - 35)*(o - 4)*(o - 1)/4
Let h(o) = 2*o**3 - 29*o**2 + 5*o + 129. Let b be h(14). Let c = -426 + 426. Factor c + 1/3*v + 0*v**2 - 1/3*v**b.
-v*(v - 1)*(v + 1)/3
Let q = -115952 + 1159563/10. What is s in -q*s**2 + 1 + 2/5*s**3 + 29/10*s = 0?
-1/4, 1, 10
Let h = 50 + -8. Let x = -34 + h. Find j, given that -x*j*