 + 1/75*c**5 + 1/5*c**4 + 0. Factor d(z).
4*z*(z - 3)*(z - 2)*(z + 1)/5
Let k(b) = b**2 + b - 1. Let z(o) = 18*o**2 + 23 - 23*o + 3*o**2 - 19*o**2. Let w(s) = 3*k(s) + z(s). Suppose w(q) = 0. Calculate q.
2
Let j be 17/((-68)/56) + (3 - -4). Let o be j - (2 - 2 - 28/4). Factor 3/4*p**2 + o - 1/4*p**3 - 1/2*p.
-p*(p - 2)*(p - 1)/4
Suppose 382*y - 2072 = -136*y. Let b(d) be the third derivative of -1/48*d**y + 0*d + 9*d**2 + 0 + 0*d**3 - 1/120*d**5. Determine n so that b(n) = 0.
-1, 0
Let k(w) be the second derivative of -2*w**6/15 - 35*w**5 + 359*w**4 - 3250*w**3/3 + 1448*w**2 + 9*w + 213. Let k(i) = 0. Calculate i.
-181, 1, 4
Let m(c) = -48*c**3 + 5*c**2 + 9*c - 3. Let y be m(-2). Find l such that 32*l**4 + 272*l**3 + 13 + 8 - 111*l + 462*l**2 + 11 + y*l + 180*l**2 = 0.
-4, -1/4
Let m = 45782221/402540 + -1/80508. Let i = 114 - m. Let -2/15*j**4 + 0 + 2/15*j**2 + 2/15*j + i*j**5 - 2/5*j**3 = 0. What is j?
-1, -1/2, 0, 1
Let t(b) be the second derivative of -3*b - 1/24*b**4 + b**3 + 1/120*b**6 - 18*b**2 + 0 - 1/10*b**5. Let p(d) be the first derivative of t(d). Factor p(c).
(c - 6)*(c - 1)*(c + 1)
Let v(k) = k**2 + 12*k + 34. Suppose -29 = 9*y + 43. Let t be v(y). Factor 16*l**4 + 16 + 35*l**3 + 3*l**5 - l**5 + 119*l**t - 43*l**2 + 56*l + 15*l**3.
2*(l + 1)**2*(l + 2)**3
Let k be ((-6)/21)/(22185/(-315) - -70). Solve 16*v**2 + k*v**3 + 484/3 + 110*v = 0 for v.
-11, -2
Let c(d) be the second derivative of 1/10*d**5 - 1/3*d**4 + 172*d - 1/21*d**7 + 0 + 0*d**2 + 0*d**3 + 2/15*d**6. Solve c(p) = 0 for p.
-1, 0, 1, 2
Let s = 3088/5 - 9254/15. Factor -s + 1/6*h**2 + 0*h.
(h - 2)*(h + 2)/6
Find z such that 3672/5 + 54/5*z + 1052/5*z**3 - 2/5*z**5 - 2448/5*z**2 - 24*z**4 = 0.
-68, -1, 3
Let f(c) be the first derivative of -3/4*c**4 + c**3 + 15/2*c**2 + 9*c + 127. Factor f(j).
-3*(j - 3)*(j + 1)**2
Factor 5*n**2 + 1207 + 2564 - 611 + 3165*n.
5*(n + 1)*(n + 632)
Let d(x) be the first derivative of x**3/6 - 149*x**2 + 44402*x - 3088. Solve d(c) = 0.
298
Suppose 4*l + 20 = 2*k, 2*k + 8*l = 6*l - 10. Let h = 2/63 - -59/126. Factor 0 + 1/4*v**2 + k*v + h*v**3.
v**2*(2*v + 1)/4
Suppose -a - 2 = -4*z - 2*a, a = -2. Let t(k) = 3*k**2 + 9*k + 24. Let w(c) = -c - 1. Let q be 5 + 17 + (-2 - 2). Let b(f) = q*w(f) + z*t(f). Factor b(l).
3*(l - 2)*(l - 1)
Factor -112/3*i - 4/3*i**2 - 100.
-4*(i + 3)*(i + 25)/3
Let y(a) be the second derivative of 1/5*a**2 + 1/10*a**3 - 2*a + 50 + 1/60*a**4. What is j in y(j) = 0?
-2, -1
Let z(b) be the first derivative of 1/16*b**4 + 0*b - 257 + 0*b**2 - 1/24*b**6 + 0*b**3 + 0*b**5. Factor z(m).
-m**3*(m - 1)*(m + 1)/4
Let u(a) = a**2 - 256. Let o be u(-21). Factor -89*i**2 - 92*i**2 + 35*i - 64 - 11*i + o*i**2.
4*(i - 2)*(i + 8)
Let h(a) be the third derivative of -a**5/30 - 11*a**4/12 - 8*a**3 + 906*a**2 - 2*a. Factor h(y).
-2*(y + 3)*(y + 8)
Let s(v) be the second derivative of -v**6/15 - 7*v**5/2 - 11*v**4/2 + 35*v**3/3 + 34*v**2 - v - 122. Factor s(n).
-2*(n - 1)*(n + 1)**2*(n + 34)
Let x = -7340 + 10503. Let c be (72 - 75)*2/(-3). Factor -x*j**4 + 3159*j**4 - 18*j + 24*j**c + 2*j - 20 + 16*j**3.
-4*(j - 5)*(j - 1)*(j + 1)**2
Let n = 24007 + -96027/4. Let k(y) be the second derivative of -n*y**5 + 0 - 25/6*y**3 + 5/3*y**4 + 5*y**2 + 21*y. Determine b so that k(b) = 0.
1, 2
Let x = 386701/54 - 7161. Let l(b) be the second derivative of 8/27*b**3 + 16/9*b**2 - 21*b + 0 - x*b**4 + 1/90*b**5. Determine i, given that l(i) = 0.
-1, 4
Let y(u) = u**5 + u**4 - 2*u**3 + u**2 + 1. Let l(g) = -2*g**5 + 206*g**4 - 418*g**3 + 210*g**2 - 4. Let d(q) = l(q) + 4*y(q). Factor d(f).
2*f**2*(f - 1)**2*(f + 107)
Let a(q) = -10*q**3 + 5*q**2 - 20. Let r be a(4). Let p = -577 - r. Factor 0 - 4/5*f**4 + 8/5*f - 4*f**2 + 16/5*f**p.
-4*f*(f - 2)*(f - 1)**2/5
Let q be ((-24950)/780 + 32)*252. Factor 18/13*f**2 + q*f - 2/13*f**3 + 22/13.
-2*(f - 11)*(f + 1)**2/13
Suppose 3*q - 5*c = -36, q - 40*c + 43*c - 30 = 0. Factor -5/4*p**4 + 5/4*p + 1/4*p**5 + 5/2*p**q - 1/4 - 5/2*p**2.
(p - 1)**5/4
Let r(f) be the first derivative of -f**4/36 - 5*f**3/18 - f**2 + 4*f - 5. Let g(n) be the first derivative of r(n). Factor g(l).
-(l + 2)*(l + 3)/3
Let y(r) be the second derivative of r**5/30 - r**4/3 + 4*r**3/3 + r**2/2 - 10*r + 2. Let c(p) be the first derivative of y(p). Factor c(x).
2*(x - 2)**2
Let h(p) = -90*p**2 + 485*p - 405. Let n(c) be the first derivative of c**4/4 - c**3/3 + c**2 - 28. Let u(t) = -h(t) - 5*n(t). Solve u(j) = 0.
1, 9
Suppose 27 = 4*l + 11. Suppose 3*v + 3*a - 25 = -l, 2*v = -3*a + 19. Find f such that 2*f**v + 4/9 + 14/9*f + 2/9*f**4 + 10/9*f**3 = 0.
-2, -1
Let l be -4*(-46)/48 + 55/33. Let x(u) be the first derivative of -8/5*u**5 + 1/6*u**6 + l*u**4 + 21 + 9/2*u**2 - 8*u**3 + 0*u. Factor x(c).
c*(c - 3)**2*(c - 1)**2
Let l(i) be the first derivative of 5*i**4/4 + 335*i**3 - 1015*i**2 + 2738. Factor l(v).
5*v*(v - 2)*(v + 203)
Let u(j) be the third derivative of -j**8/168 - j**7/105 + j**6/20 + j**5/6 + j**4/6 - 8*j**2 - 316*j. Factor u(h).
-2*h*(h - 2)*(h + 1)**3
Suppose -3*z = 3*u - 6*u - 966, 4*z = -4*u + 1328. Factor g**2 - z + 1695 + 74*g + 1.
(g + 37)**2
Let 0 + 46/3*d**2 + 152/3*d + 2/3*d**3 = 0. What is d?
-19, -4, 0
Let -176/5*t**3 + 0 - 4/5*t**4 + 964/5*t**2 - 784/5*t = 0. What is t?
-49, 0, 1, 4
Factor -7085/6 - 3550/3*b**3 - 3545*b**2 - 10630/3*b - 5/6*b**4.
-5*(b + 1)**3*(b + 1417)/6
Let j = -35878 + 35878. Let r(s) be the third derivative of 0*s + 1/420*s**6 - 1/42*s**5 + 27*s**2 - 13/84*s**4 + j - 1/3*s**3. Suppose r(c) = 0. What is c?
-1, 7
Let y(m) be the third derivative of 11*m**5/12 - 10*m**4 + 40*m**3/3 + 844*m**2. Factor y(l).
5*(l - 4)*(11*l - 4)
Let j = 2014168/18275 - 104/1075. Factor 482/17*f**2 + 2/17*f**4 - j*f - 52/17*f**3 + 2592/17.
2*(f - 9)**2*(f - 4)**2/17
Let w(g) = 5*g**2 + 25*g - 11. Suppose 0 = -17*b - 84 - 18. Let c(o) = 3*o**2 + 12*o - 6. Let h(s) = b*w(s) + 11*c(s). Factor h(r).
3*r*(r - 6)
Let u be 5 + -9 + (-19448)/(-4879). Let d = 311/1722 + u. Factor d*z**5 - 1/3*z**3 + 1/3*z**2 - 1/6*z**4 + 1/6*z - 1/6.
(z - 1)**3*(z + 1)**2/6
Let r(l) be the first derivative of 2*l**3/21 + 312*l**2/7 + 48672*l/7 - 3458. Determine o so that r(o) = 0.
-156
Let a(m) = -2*m - 1. Let u be -3*2/(-12) - (-10)/(-4). Let d(f) = -f**2 + 30*f + 2. Let o(g) = u*a(g) - d(g). Suppose o(y) = 0. What is y?
0, 26
Find l such that 69*l**2 + 5292 - 1050*l - 3/2*l**3 = 0.
14, 18
Let k(y) be the second derivative of 2*y**7/525 - 3*y**6/25 + 36*y**5/25 - 36*y**4/5 + 27*y**2/2 - 39*y. Let a(w) be the first derivative of k(w). Factor a(u).
4*u*(u - 6)**3/5
Let -1901*p**3 + 576*p**5 - 1282 + 54*p - 1281 + 2571 - 498*p**3 + 326*p - 1104*p**4 + 4414*p**2 = 0. Calculate p.
-2, -1/24, 2
Let h = 401 - -10. Let 51*v + h + 350 - 811 - v**2 = 0. Calculate v.
1, 50
Let k(h) be the third derivative of 2/45*h**5 + 0*h + 0 - 8/9*h**3 + 1/120*h**6 + 164*h**2 - 5/18*h**4. Solve k(j) = 0.
-4, -2/3, 2
Let k be ((-12)/(-10) + 1)*(-48600)/(-32076). Factor -22/9 + k*v - 8/9*v**2.
-2*(v - 1)*(4*v - 11)/9
Let a = 7078 - 7076. Factor 2*v**a + 0 + 2/7*v**5 - 26/7*v**3 + 0*v + 10/7*v**4.
2*v**2*(v - 1)**2*(v + 7)/7
Let w(s) = -3 + 4 + 1 + 0 - 214*s**2 + 222*s**2. Suppose 7*n = 3*n - 36. Let l(t) = 15*t**2 + 3. Let k(f) = n*w(f) + 5*l(f). Solve k(v) = 0 for v.
-1, 1
Let v(d) be the first derivative of -d**6/18 + 4*d**5/5 - 23*d**4/6 + 20*d**3/3 - 25*d**2/6 + 1953. Factor v(g).
-g*(g - 5)**2*(g - 1)**2/3
Let s = 5575/8 + -698. Let r = 71/56 + s. Suppose 36/7*y**2 + 0*y - 12/7*y**3 + 0 + r*y**4 = 0. What is y?
0, 6
Let o(s) = 27*s + 57. Let v be o(5). Let f = v + -192. Let 0*h - 1/5*h**3 + 6/5*h**2 + f = 0. Calculate h.
0, 6
Suppose 3*z - 19 = -5*d + 4*z, 0 = 5*z - 5. Find y, given that -d*y**2 + 0*y**2 - 588 + y**2 + 84*y = 0.
14
Let b(g) be the second derivative of -1/110*g**6 + 1/44*g**4 + 1/462*g**7 - 1/220*g**5 - 3*g + 0*g**3 + 0*g**2 - 3. Solve b(d) = 0 for d.
-1, 0, 1, 3
Suppose -3*j = -3*s + 3, -5*s - 19 + 36 = -2*j. Suppose d - 4*d = -s*l + 6, -4*l + 21 = 3*d. What is u in 1/2 + 1/2*u**4 + 1/2*u + 1/2*u**5 - u**2 - u**d = 0?
-1, 1
Let y be (-2)/(((-93)/48 - -2)/(-1)). Suppose -6 = 13*a - y. Factor 0*l + 1/3 - 1/3*l**a.
-(l - 1)*(l + 1)/3
Suppose -134 = -397*w + 660. Let t(r) be the first derivative of 3/5*r**5 + 3*r**3 - 9/4*r**4 + 0*r + 34 - 3/2*r