1)*(h + 2)
Factor 195/2*q**2 - 3/4*q**3 + 399/2 + 1191/4*q.
-3*(q - 133)*(q + 1)*(q + 2)/4
Let x(w) be the third derivative of 0*w + 167*w**2 + 7/20*w**5 - 23/8*w**4 + 0 + 8*w**3. Factor x(n).
3*(n - 1)*(7*n - 16)
Suppose 41*y = -4*k + 46*y + 26, 12 = 5*k + 4*y. Let p(g) be the second derivative of -2/21*g**3 + 0*g**2 + 0 - 1/42*g**k - g. Factor p(i).
-2*i*(i + 2)/7
Let g(u) be the second derivative of -u**5/90 + 5*u**4/36 + 2*u**3/3 + 23*u**2 + 2*u - 8. Let q(f) be the first derivative of g(f). Factor q(y).
-2*(y - 6)*(y + 1)/3
Let h(x) be the third derivative of x**7/1995 - x**6/57 - 11*x**5/95 - 17*x**4/57 - 23*x**3/57 - 1262*x**2. Solve h(i) = 0 for i.
-1, 23
Let x(l) be the second derivative of l**7/105 - 4*l**6/75 + 7*l**4/15 - 17*l**3/15 + 6*l**2/5 + 65*l + 3. Factor x(k).
2*(k - 3)*(k - 1)**3*(k + 2)/5
Let d(u) be the third derivative of u**7/420 - 23*u**6/120 + 38*u**5/15 + 909*u**4/8 + 1701*u**3/4 - 14*u**2 - 5*u + 2. Factor d(z).
(z - 27)**2*(z + 1)*(z + 7)/2
Suppose -2*a = r - 3*r - 2, -5*a - 23 = 2*r. Let z be a/(-21) - 320/(-700). Factor z*f**4 - 3*f**2 + 0 + 3/5*f**3 + 9/5*f.
3*f*(f - 1)**2*(f + 3)/5
Determine a, given that 0 - 56/19*a + 2/19*a**4 + 8/19*a**3 - 50/19*a**2 = 0.
-7, -1, 0, 4
Let z(i) be the second derivative of -23*i**4/7 + 275*i**3/14 + 9*i**2/14 + 2*i + 3940. Factor z(m).
-3*(m - 3)*(92*m + 1)/7
Let w(k) be the second derivative of k**4/4 - 149*k**3/2 + 222*k**2 + 15*k - 42. What is t in w(t) = 0?
1, 148
Let x(f) be the first derivative of 2*f**7/945 + f**6/180 + f**5/270 + 9*f**2/2 - 8*f + 126. Let g(q) be the second derivative of x(q). Factor g(v).
2*v**2*(v + 1)*(2*v + 1)/9
Suppose 4*k = -4*o + 44, 0*k + 7 = 2*k - o. Suppose -8 = 2*l + 4*v, -2*v = -0 + k. Solve -7*n**2 - 2*n**l + 36*n - 9*n**3 - 3*n**4 - 39*n = 0 for n.
-1, 0
Let w(z) = -45*z**4 - 1035*z**3 - 2710*z**2 - 2690*z. Let j(v) = -2*v**4 - 45*v**3 - 118*v**2 - 117*v. Let l(h) = -70*j(h) + 3*w(h). Find c such that l(c) = 0.
-4, -3, -2, 0
Suppose -5*v - 172 = -11*o, -612*o = -5*v - 614*o + 49. Factor 4/7*b**2 + 0 - 4/7*b**4 + 20/7*b - 20/7*b**v.
-4*b*(b - 1)*(b + 1)*(b + 5)/7
Let c = 36 + 60. Let s be (c/(-18))/4*6/(-2). Suppose -g**5 + 25*g**4 - 6*g**2 + 2*g**2 - 42*g**s + 20*g**4 = 0. Calculate g.
-1, 0, 2
Solve 36/7*z**3 + 8/7*z**2 + 16/7*z**4 + 2/7*z**5 - 38/7*z - 24/7 = 0.
-4, -3, -1, 1
Solve 512/7*z - 1536/7 + 8*z**4 - 510/7*z**3 - 2/7*z**5 + 1480/7*z**2 = 0.
-1, 1, 8, 12
Let b(c) be the third derivative of -c**8/70560 - c**7/2205 + 7*c**5/60 - c**4/6 + 2*c**2 + 24*c. Let p(x) be the third derivative of b(x). Factor p(r).
-2*r*(r + 8)/7
Let f(v) = -30*v**2 - 752*v - 1456. Let y(b) = -11*b**2 - 251*b - 485. Let i(t) = 3*f(t) - 8*y(t). Factor i(d).
-2*(d + 2)*(d + 122)
Let h = 796741/7 + -114458. Let m = -637 - h. Find k, given that -m*k + 6/7*k**2 + 0 = 0.
0, 1
Let x(k) be the second derivative of 0 + 97*k - 1/6*k**4 + 44*k**2 - 43/3*k**3. Find j such that x(j) = 0.
-44, 1
Let f(j) = j**2 - 45 + 5*j + 28*j + 110. Let k be f(-31). Let 1/4 + 3/4*o**2 + 5/4*o - 9/4*o**k = 0. Calculate o.
-1/3, 1
Let l(z) be the second derivative of 5*z**4/12 + 95*z**3/3 - 615*z**2/2 + 1269*z. Let l(r) = 0. Calculate r.
-41, 3
Let v be 4/(-26) + ((-3696)/(-91))/4. Find y, given that -3 - 6*y**3 - 65*y + 3 - v*y**2 + 61*y = 0.
-1, -2/3, 0
Let a(d) be the first derivative of -d**6/51 + 14*d**5/85 - 13*d**4/34 - 2*d**3/17 + 18*d**2/17 + 1100. Find j, given that a(j) = 0.
-1, 0, 2, 3
Let k(s) = 754*s**2 - 21*s + 2. Let q be k(0). Factor 0*x - 98/13 + 2/13*x**q.
2*(x - 7)*(x + 7)/13
Let s be 1626/(-30) + (6/(-10))/(-3). Let m = -52 - s. Let z**3 + 4*z**2 - 3*z**m - 4*z - 2*z = 0. Calculate z.
-3, 0, 2
Factor 190*u - 60*u**3 + 94*u**4 + 79*u**4 - 15*u**2 - 120 - 241*u**4 + 73*u**4.
5*(u - 12)*(u - 1)**2*(u + 2)
Let a(w) be the second derivative of -w**5/20 - 5*w**4/2 - 19*w**3/2 - 14*w**2 + 820*w. Determine b, given that a(b) = 0.
-28, -1
Let y(w) be the first derivative of w**4 + 1216*w**3/3 + 45594*w**2 - 187272*w - 101. Solve y(v) = 0 for v.
-153, 2
Let l = 1885/4 - 9353/20. Let p = 32 - 30. Factor -12/5*k + 2/5 + l*k**p.
2*(3*k - 1)**2/5
Let m(a) = 2*a**3 + a**2 + a + 1. Let n(u) = u**4 + 11*u**3 + 2*u**2 + 4*u + 7. Let x be (4 - 3 - 4)/((-6)/20). Let k(r) = x*m(r) - 2*n(r). Factor k(s).
-2*(s - 1)**2*(s + 1)*(s + 2)
Let v(j) be the third derivative of 1/120*j**6 + 3*j**2 + 17 + 0*j + 11/60*j**5 - 1/24*j**4 - 11/6*j**3. Find k such that v(k) = 0.
-11, -1, 1
Let g(q) = q**3 + 65*q**2 - 43*q - 35. Let a(x) = 29 - 99 + 56 + 50 + 46*x - 66*x**2. Let w(k) = -3*a(k) - 4*g(k). Factor w(c).
-2*(c - 1)*(c + 16)*(2*c + 1)
Solve 46*m**3 - 32/3 + 74*m + 10/3*m**4 - 338/3*m**2 = 0 for m.
-16, 1/5, 1
Let s(t) = 156*t**3 + t**2 - 3*t - 7. Let o be s(-2). Let k = o + 1248. Determine c, given that 16/3*c**2 + 16/3*c**k + 4/3*c + 0 = 0.
-1/2, 0
Let g(r) be the third derivative of -r**8/168 - 11*r**7/105 + r**6/4 + 31*r**5/30 - 29*r**4/6 + 8*r**3 - 26*r**2 - 4. Suppose g(v) = 0. What is v?
-12, -2, 1
Let o be (-2 - 33/(-15))/(26*(-36)/(-7020)). Factor -1/2 + o*b**2 + 0*b - b**3.
-(b - 1)**2*(2*b + 1)/2
Suppose 2*o + 25*c - 2290 = 23*c, -4586 = -4*o + 2*c. Factor 968 + 2*i**4 + 2779*i + o*i**2 - 11*i**3 - 81*i**3 - 4803*i.
2*(i - 22)**2*(i - 1)**2
Let y be (-2052)/(-1472)*22/33. Let v = y - 7/23. Factor -1/8 - 1/2*o**2 + v*o.
-(o - 1)*(4*o - 1)/8
Let r(l) be the third derivative of -l**7/840 + 67*l**6/120 - 1197*l**5/16 - 67*l**4/24 + 4489*l**3/6 - 263*l**2 - 2*l. Solve r(t) = 0.
-1, 1, 134
Let t(u) be the first derivative of u**4/36 - 11*u**3/18 - 13*u**2/3 + 146*u - 131. Let f(b) be the first derivative of t(b). Determine a, given that f(a) = 0.
-2, 13
Let y = 1547/92 - -89/46. Let t = y - 217/12. Let -t - 1/3*j**3 + j + 0*j**2 = 0. What is j?
-2, 1
Let a(u) be the third derivative of -u**8/1260 + u**7/360 + u**6/540 + 25*u**3/6 + 9*u**2 - 3*u. Let l(g) be the first derivative of a(g). Factor l(x).
-x**2*(x - 2)*(4*x + 1)/3
Suppose -18 = -2*d - 0*i + 3*i, -4*d + 44 = -2*i. Let a = d + -7. Factor -4*s**4 - 12*s + 4*s**a + 16*s - 6*s**3 - 4 - 2*s**3 + 8*s**2.
4*(s - 1)**3*(s + 1)**2
Find m, given that -456/11 - 450/11*m + 6/11*m**2 = 0.
-1, 76
Suppose -2*d - 3 = -7. Let 332750 + 39*j**2 - 5*j**3 + 291*j**d - 21385*j + 3*j**3 + 3235*j = 0. What is j?
55
Find u, given that -3472/3*u + 100/3*u**4 + 192 + 2192*u**2 - 1260*u**3 = 0.
2/5, 1, 36
Let f(z) = z**2 - 6*z - 14. Let k = 19 + -11. Let q be f(k). Factor 6*o**q - 3*o**2 - 8*o**2.
-5*o**2
Let i be (-449)/(-36) - (-2 + (-200)/(-90)). Let p = i + -327/28. Factor p*w**2 + 0 + 6/7*w**3 + 2*w**5 + 0*w - 24/7*w**4.
2*w**2*(w - 1)**2*(7*w + 2)/7
Let r(t) = -15*t**2 + 216*t + 30. Let u(i) = -78*i**2 + 1081*i + 155. Let c(h) = 31*r(h) - 6*u(h). Suppose c(q) = 0. Calculate q.
-70, 0
Suppose -21 + 13 = -4*u. Factor -10*i**u - 4*i + 3*i**3 - 7*i + 11*i**3 + 7*i + 0*i.
2*i*(i - 1)*(7*i + 2)
Let w(z) = -z**3 - 12*z**2 - 17*z + 30. Let v be w(-10). Let u be 4/(v + 4) - 48/(-60). Determine b so that u - 3/5*b**2 - 6/5*b = 0.
-3, 1
Let k(x) = 6 + 5 - x + 0. Let l be k(8). Factor 143*i - 149*i - l*i**3 - 6*i**2 - 3*i**2 + 0*i**3.
-3*i*(i + 1)*(i + 2)
Let a be 48/(-18)*3*(60/16 - 4). Let c(z) be the first derivative of 27 - 3/4*z**4 + 0*z**3 + 0*z + 27/2*z**a. Factor c(q).
-3*q*(q - 3)*(q + 3)
Let z = 4019/2 + -2008. Let f(s) be the first derivative of -1/2*s**4 - 1/6*s**6 + 3/5*s**5 + z*s**2 - s - 2/3*s**3 - 7. Factor f(l).
-(l - 1)**4*(l + 1)
Let x(v) be the second derivative of 1/108*v**4 - 25/9*v**2 + 0 + 99*v - 49/54*v**3. Factor x(j).
(j - 50)*(j + 1)/9
Let r(q) be the second derivative of q**6/72 + 11*q**5/3 + 1210*q**4/3 - 7*q**3/2 + 3*q + 1. Let l(b) be the second derivative of r(b). Factor l(n).
5*(n + 44)**2
Suppose 3*k + 2*o + 0 = -7, 18 = -2*k - 3*o. Let k + 0*r - 3/4*r**2 = 0. What is r?
-2, 2
Let y = 13375/7 + -53395/28. Solve y*z - 9/2 + 3/4*z**2 = 0 for z.
-6, 1
Let u(w) be the second derivative of -2*w**6/15 + 16*w**4 + 256*w**3/3 + 430*w. Factor u(k).
-4*k*(k - 8)*(k + 4)**2
Let k = 16441111/196 + -83883. Let o = k - -3/98. Factor 0 - o*v**2 + 1/2*v - 1/4*v**3.
-v*(v - 1)*(v + 2)/4
Let x(m) be the first derivative of -40/3*m**3 + 40*m + 5/4*m**4 + 52 - 5/2*m**2. Find k, given that x(k) = 0.
-1, 1, 8
Let b be 4/(-253)*(-21)/((-1470)/(