- 1/2*w**4.
-(w + 5)**2*(w + 184)**2/2
Let w = 38733 - 38728. Let s(n) be the first derivative of 0*n**2 + 5*n**4 - n**w - 51 + 0*n - 20/3*n**3. Factor s(c).
-5*c**2*(c - 2)**2
Let g = 4242 - 4238. Let s(h) be the second derivative of 0 - 5/12*h**g - 20*h - 5/6*h**2 - 1/12*h**5 - 5/6*h**3. Solve s(w) = 0.
-1
Determine t so that 12 + 8904*t - 12 - 8502*t + t**2 = 0.
-402, 0
Let n(u) be the third derivative of -u**8/504 + 26*u**7/315 - 11*u**6/15 - 308*u**5/45 + 392*u**4/9 + u**2 + 294. Solve n(m) = 0 for m.
-4, 0, 2, 14
Let v(m) = -m**3 + 15*m**2 + 15*m + 12. Let l be v(16). Let i be 3/l + 1517/1148. Solve 0*f**2 + 0 + i*f - 1/7*f**4 - 3/7*f**3 = 0 for f.
-2, 0, 1
Let f = 41625/2 - 20802. Factor -3 - 9/2*y**3 + f*y - 3*y**2.
-3*(y - 1)*(y + 2)*(3*y - 1)/2
Let q(d) be the second derivative of d**7/1540 + 17*d**6/1980 - d**5/110 - 15*d**3/2 - 56*d + 1. Let h(n) be the second derivative of q(n). Factor h(b).
2*b*(b + 6)*(3*b - 1)/11
Let h(y) be the third derivative of -1/84*y**7 + 0 - 118*y**2 + 0*y**3 - 19/48*y**6 + 0*y - 10/3*y**5 + 125/12*y**4. Factor h(f).
-5*f*(f - 1)*(f + 10)**2/2
Suppose 36*i**2 + 441 - 611 - 220 - 690 - 4852*i = 0. Calculate i.
-2/9, 135
Suppose 5*j - 3*j = 6. Suppose -5 = -5*k, x - j*k + 2 - 3 = 0. Factor -6*c**2 - 4*c + 8*c**x - 8*c**2 + 4*c**5 - 11*c**2 + 17*c**2.
4*c*(c - 1)*(c + 1)**3
Let y(z) = z**2 + 853*z - 818. Let c(h) = h**2 + h + 10. Let v(u) = 3*c(u) - y(u). Factor v(q).
2*(q - 424)*(q - 1)
Let x(n) = 3*n**5 - n**4 - n**2 + 3. Let v(j) = 78*j**5 - 155*j**4 - 830*j**3 + 474*j**2 - 64*j - 6. Let h(z) = 2*v(z) + 4*x(z). What is q in h(q) = 0?
-8/3, 0, 1/4, 2/7, 4
Determine j so that -51*j - 207/4 + 3/4*j**2 = 0.
-1, 69
Let c(y) = -98*y**2 - 12058*y + 9096256. Let r(s) = 17*s**2 - s. Let n(j) = -c(j) - 6*r(j). Factor n(d).
-4*(d - 1508)**2
Let p(a) be the third derivative of -2/15*a**6 + 0*a**3 + 0 - 29/60*a**5 + 0*a - 7/12*a**4 - 85*a**2 - 1/210*a**7. Factor p(r).
-r*(r + 1)**2*(r + 14)
Let w(h) be the first derivative of -5 - 1/180*h**6 + 0*h - 7/12*h**4 - 2/15*h**5 + 2*h**3 + 0*h**2. Let c(q) be the third derivative of w(q). Factor c(k).
-2*(k + 1)*(k + 7)
Let m(i) be the second derivative of 3*i**5/140 + 131*i**4/4 + 209763*i**3/14 - 632043*i**2/14 - 2*i + 4262. Find q, given that m(q) = 0.
-459, 1
Suppose -56*m = 92 + 356. Let d be (m + 7)/((-56)/16). Factor 1/7*j**3 + d*j**2 - 8/7*j + 0.
j*(j - 2)*(j + 4)/7
Let c be 428/749 - 38/(-7). Let u(a) be the third derivative of 0*a - 1/540*a**c + a**3 + 0 + 1/30*a**5 + 16*a**2 - 1/4*a**4. Suppose u(i) = 0. Calculate i.
3
Factor -1/4*y**3 + 7/2*y + 0 - 5/4*y**2.
-y*(y - 2)*(y + 7)/4
Let r = 2 + -1. Let l(i) = 6 + 3463*i**3 - 3464*i**3 - 5. Let o(g) = -35*g**3 + 15*g**2 - 10*g + 30. Let d(b) = r*o(b) - 30*l(b). Factor d(n).
-5*n*(n - 2)*(n - 1)
Let o = 11 + -9. Factor 89 - 161 - 15*q - 2*q**o - 3*q - 22*q.
-2*(q + 2)*(q + 18)
Let l(w) be the third derivative of -w**5/270 + w**4/6 - 17*w**3/27 - 4*w**2 + 160*w. Find s, given that l(s) = 0.
1, 17
Let h(t) be the second derivative of t**5/50 + t**4/30 - 14*t**3/15 - 24*t**2/5 + 143*t + 5. Determine o so that h(o) = 0.
-3, -2, 4
Let n(b) be the third derivative of -b**8/1344 - b**7/168 + b**6/36 - 145*b**4/24 - b**2 + 42*b. Let c(t) be the second derivative of n(t). Factor c(d).
-5*d*(d - 1)*(d + 4)
Let d(m) be the third derivative of -m**6/120 - m**5/4 + 13*m**4/24 - 14*m**2. Let g be d(-16). Factor -15*l + 3*l - 6*l**2 - 12*l + 9*l**2 + g.
3*(l - 4)**2
Let z be (-741)/(-442) - 51/289. Let 9 + 21/2*v + z*v**2 = 0. Calculate v.
-6, -1
Let y be (4/(24/(-21)))/(10/(-20)). Suppose -y*k = -2*k + 3*k. Factor k + 1/3*l + 1/6*l**2.
l*(l + 2)/6
Factor -415*w**2 - 409*w**2 - 4 + 40 - 32*w + 820*w**2.
-4*(w - 1)*(w + 9)
Let x be (260/(-45) + 6)*-150. Let g = 67/2 + x. Factor 1/6*u**3 - g*u**2 - 1/3*u + 0.
u*(u - 2)*(u + 1)/6
Solve 44/3*v - 46/3 - 43/6*v**3 + 73/6*v**2 - 25/6*v**4 - 1/6*v**5 = 0 for v.
-23, -2, 1
Let s(h) be the second derivative of 19 + h - 1/24*h**5 + 19/36*h**4 + 4/9*h**3 + 0*h**2. Solve s(w) = 0 for w.
-2/5, 0, 8
Let o be (-1)/(-2) + 24311/46. Factor 3 + 888*g**3 - 112*g**4 - 3 - 1456*g**2 + o*g + 4*g**5 - 44*g + 191*g.
4*g*(g - 13)**2*(g - 1)**2
Let z(c) be the second derivative of c**6/540 - 2*c**5/135 + c**4/36 + 27*c**2 + 12*c. Let b(v) be the first derivative of z(v). Find u such that b(u) = 0.
0, 1, 3
Suppose 22673378 + 1542*v + 38796840*v**2 + 11926*v - 38796838*v**2 = 0. Calculate v.
-3367
Find u such that 37/2*u - 1/2*u**3 - 19/2 - 17/2*u**2 = 0.
-19, 1
Let l(f) be the second derivative of -2*f**6/15 - 19*f**5/5 - 110*f**4/3 - 424*f**3/3 - 240*f**2 - 19*f. Solve l(a) = 0 for a.
-10, -6, -2, -1
Suppose 5*x = 3*c + x - 1, 15 = 3*c + 3*x. Factor -20*w**2 - 9650*w**3 - 2 + 9649*w**c + 2.
-w**2*(w + 20)
Let s(d) = -2*d**2 - 45*d - 57. Let a be s(-21). Find u, given that -a*u**2 - 11*u**2 - 3*u**5 + 21*u**3 + 6*u**4 - 12*u**4 + 11*u**2 - 6*u**2 = 0.
-4, 0, 1
Suppose 4*z = -20*t + 19*t + 790, 3*t = -4*z + 2410. Let y be t/(-60)*3/(-27). Factor -6*f + 0*f**2 + 0 + y*f**3.
3*f*(f - 2)*(f + 2)/2
Let f(z) be the second derivative of 23/54*z**4 + 49/27*z**3 + 218*z + 25/9*z**2 - 1/90*z**5 - 2. Solve f(l) = 0 for l.
-1, 25
Solve 6*d**2 + 80*d + 2*d**2 - d**3 - 4*d**3 - 96 - 15*d**3 + 4*d**4 = 0.
-2, 2, 3
Let 16*j - 76*j**3 - 28*j**2 + 75*j**2 + 12*j**5 - 41*j**2 - 26*j**2 - 28*j**4 = 0. Calculate j.
-1, 0, 1/3, 4
Let r = 39882/7 + -5696. Let n(u) be the first derivative of -4/35*u**5 - r*u**2 - 2 - 3/7*u**4 + 12/7*u**3 + 0*u. Solve n(c) = 0 for c.
-5, 0, 1
Let q(k) be the first derivative of -k**3/4 + 159*k**2/8 + 165*k/2 - 1646. Find j, given that q(j) = 0.
-2, 55
Let r(m) = -8*m**2 - 232*m + 816. Let l(z) = z**2 + z. Let p(n) = -12*l(n) - r(n). Factor p(b).
-4*(b - 51)*(b - 4)
Suppose 3*a + 25 = 46. Determine l so that 710 - 36*l**3 - l**5 - 56*l - 11*l**4 - a*l**3 - 726 - 73*l**2 = 0.
-4, -1
Let k(f) be the third derivative of -f**5/240 - 49*f**4/96 - 47*f**3/12 - 413*f**2 - 1. Let k(v) = 0. Calculate v.
-47, -2
What is r in 54*r + 664/3 - 1/3*r**2 = 0?
-4, 166
Suppose -2*f**2 - 56 + 2003*f - 2113*f - 50*f**2 + 2*f**3 = 0. What is f?
-1, 28
What is x in -5*x**4 + 0 + 0*x + 860/3*x**2 + 1280/3*x**3 = 0?
-2/3, 0, 86
Let t(b) = 1082*b - 33532. Let v be t(31). Factor v*r + 14/11 - 32/11*r**3 + 208/11*r**2.
-2*(r - 7)*(4*r + 1)**2/11
Suppose -41*b - 2602 = 2728. Let a = b + 132. What is m in 8/3 - 8/3*m + 2/3*m**a = 0?
2
Let z(l) be the third derivative of 3/70*l**7 + 0*l**3 - 11*l**2 + 0 - 1/8*l**6 + 0*l + 1/10*l**5 + 0*l**4. Suppose z(y) = 0. What is y?
0, 2/3, 1
Let i be (-314)/16485 - 236/(-140). What is l in 1/3*l**2 + i*l + 2 = 0?
-3, -2
What is a in -1572864 - 3/4*a**3 - 288*a**2 - 36864*a = 0?
-128
Let i(j) be the first derivative of -j**6/24 - 7*j**5/20 - 9*j**4/8 - 2*j**3/3 + 5*j + 102. Let r(l) be the third derivative of i(l). Factor r(s).
-3*(s + 1)*(5*s + 9)
Let q(v) be the first derivative of 0*v + 1/4*v**4 - 5 + 0*v**2 + 2/15*v**3. Factor q(r).
r**2*(5*r + 2)/5
Let u be (-171)/855*10/(-42). Let l(v) be the second derivative of 0*v**2 + 4/15*v**6 + 1/3*v**4 - u*v**7 + 17*v + 0*v**3 - 1/2*v**5 + 0. What is g in l(g) = 0?
0, 1, 2
Solve -18 + 134*a + 321/2*a**2 + 17/2*a**3 = 0.
-18, -1, 2/17
Let h(q) = -q**5 + 1 - q**2 - 234*q**4 + q**3 + 234*q**4. Let f(a) = -9*a**5 + 9*a**3 - 5*a**2 + 5. Let t(d) = f(d) - 5*h(d). Factor t(p).
-4*p**3*(p - 1)*(p + 1)
Determine x so that 394*x + 374*x + 56*x**2 - 776*x - 26*x**3 = 0.
0, 2/13, 2
Let c be (-20964)/19217*(-33)/2. Let -92/3*i + 1/3*i**4 + c*i**2 - 13/3*i**3 + 56/3 = 0. What is i?
2, 7
Let v = 634 + -632. Suppose 1632*z - 156*z**4 + 1409*z**2 + 12*z**5 + 99 + 285 + 219*z**3 + 469*z**v = 0. What is z?
-2, -1/2, 8
Let h(w) = w**2 - 345*w - 22914. Let n be h(-57). Factor -2/9*a**4 - 4/9*a**2 + 16/9*a + n - 10/9*a**3.
-2*a*(a - 1)*(a + 2)*(a + 4)/9
Let c be 2/(1/(-3) - 225/54 - -5). Let t(q) be the first derivative of -1/30*q**5 + 0*q + 1/18*q**3 + 1/4*q**2 + 36 - 1/8*q**c. Factor t(m).
-m*(m - 1)*(m + 1)*(m + 3)/6
Let p(b) be the first derivative of -3*b**2 - 10 - 1/240*b**5 + 0*b + 1/24*b**3 + 0*b**4. Let x(a) be the second derivative of p(a). Let x(m) = 0. What is m?
-1, 1
Solve -185/2*c**2 + 55/2*c**3 - 5/2*c**4 - 45 + 225/2*c = 0 for c.
1, 3, 6
Let -2*q**3