9*k**3 - v*k + 52/9*k**2 - 2 - 50/9*k**4 = 0. What is k?
-3/5, 1
Let k(i) = 3*i**2 - 116*i - 37412. Let r be k(-94). Factor r*t + 36/13*t**2 + 2/13*t**5 + 0 - 8/13*t**4 - 6/13*t**3.
2*t**2*(t - 3)**2*(t + 2)/13
Let q(y) be the third derivative of y**7/420 + y**6/180 - y**5/60 - y**4/12 - 7*y**3/3 - 46*y**2. Let b(i) be the first derivative of q(i). Factor b(f).
2*(f - 1)*(f + 1)**2
Suppose -4*n + 175 = 31*n. Determine c so that -220*c - 1401 + 1473 - c**4 - 84*c**3 + n*c**4 + 228*c**2 = 0.
1, 18
Let b = 3/29054 - -116207/87162. Factor -44/3*k**2 + 128/3*k - 112/3 + b*k**3.
4*(k - 7)*(k - 2)**2/3
Determine n, given that -54*n**4 - 3362/3 + 1066*n - 3196/3*n**3 - 2/3*n**5 + 3524/3*n**2 = 0.
-41, -1, 1
Factor -1/2*h**2 - 1015/2*h + 508.
-(h - 1)*(h + 1016)/2
Let l(w) be the second derivative of 3/20*w**5 + 1/10*w**6 + 0*w**3 + 0*w**2 + 0 + 0*w**4 + 104*w. Determine z, given that l(z) = 0.
-1, 0
Suppose -11*l + 356 = -7. Find b, given that l*b - 1 + 42*b + 4*b**2 + b**3 - 3*b**2 - 76*b = 0.
-1, 1
Let n = -953/580 + 52/29. Let q(s) be the second derivative of -12*s - 3/4*s**4 + 0*s**2 - n*s**5 + 0 - s**3. Find i, given that q(i) = 0.
-2, -1, 0
Let a(x) = 28*x**2 - 500*x - 2787. Let p(w) = 5*w**2 - 100*w - 558. Let l(i) = -6*a(i) + 33*p(i). Let l(m) = 0. Calculate m.
-94, -6
Let c be (-978)/(-234) - 4320/2340. Factor -1/3*b**3 - c*b**2 + 0 + 0*b.
-b**2*(b + 7)/3
Let h = 162 + -158. Factor -10*o**2 - 5*o**h - 6*o + 45*o**2 + 6*o - 30*o**3.
-5*o**2*(o - 1)*(o + 7)
Let v(a) be the third derivative of 93*a**2 + 1/600*a**6 + 1/15*a**5 + 0 + 0*a + 77/120*a**4 - 121/15*a**3. Determine o, given that v(o) = 0.
-11, 2
Suppose -3*r - 2*l + 9 = 0, 0*r - 4*l + 15 = 5*r. Let t be 30/7 + 8/(-28). Factor -5*k**2 - 8*k**2 + t*k**r + 5*k**2 + 4*k.
4*k*(k - 1)**2
Let p(k) be the second derivative of k**4/24 + 47*k**3/4 - 108*k**2 + 1744*k. What is r in p(r) = 0?
-144, 3
Suppose 2*b + w = 41, -1092*w - 5 = -1087*w. Let n(l) be the third derivative of 1/20*l**5 - b*l**2 + 0*l + 0 + 1/120*l**6 + 0*l**4 - 2/3*l**3. Factor n(x).
(x - 1)*(x + 2)**2
Let u(b) be the first derivative of 5*b**3/3 - 1230*b**2 + 302580*b + 3753. Suppose u(x) = 0. Calculate x.
246
Let d = 6886159/13 + -529699. Factor 744/13*a + 1922/13*a**2 + d.
2*(31*a + 6)**2/13
Let b(d) = -d**3 + 7*d**2 - 7*d + 1. Let o be b(1). Let r(j) be the first derivative of 5/3*j**3 + 0*j**2 + 5/4*j**4 + 8 + o*j. Factor r(y).
5*y**2*(y + 1)
Let o(l) be the first derivative of -2*l**5/55 - 37*l**4/22 - 240*l**3/11 - 324*l**2/11 - 4323. Suppose o(q) = 0. Calculate q.
-18, -1, 0
Find l, given that 926/9 + 1/9*l**2 - 155/3*l = 0.
2, 463
Let z be 182 - (40/18 + 2/(-9)). Let j be (-4)/z*10 - (-32)/63. Determine l, given that 5/7*l + j - 3/7*l**2 = 0.
-1/3, 2
Suppose -4*v + 0*f = -5*f + 4, 0 = -5*v - 2*f + 28. What is j in -39 - 25 - v*j**2 - 11846*j + 11914*j = 0?
1, 16
Let q be 806/(-124) + (-1)/(-3)*21. Suppose 1/2*r**4 - q*r**2 - 1/4*r**3 + 1/4*r**5 + 0 + 0*r = 0. What is r?
-2, -1, 0, 1
Let m = -46603 - -139837/3. Factor 10/3*q**3 + 0 - 22*q**2 - m*q.
2*q*(q - 7)*(5*q + 2)/3
Find k, given that 0 + 63/2*k**3 + 15*k**4 - 6*k**2 - 42*k + 3/2*k**5 = 0.
-7, -2, 0, 1
Let s(i) = i**3 + 173*i**2 - 634*i + 13100. Let g be s(-177). What is q in q + 1/5*q**g + 4/5 = 0?
-4, -1
Let i(p) = -25*p**2 + 172*p + 107. Let c(s) = 76*s**2 - 516*s - 328. Let x(a) = 5*c(a) + 16*i(a). Suppose x(b) = 0. What is b?
-2/5, 9
Let d(r) be the second derivative of -1/2*r**2 - 26 - r + 1/120*r**6 + 1/20*r**5 + 1/16*r**4 - 1/6*r**3. Find g such that d(g) = 0.
-2, -1, 1
Let i(v) be the second derivative of -v**4/6 - 36*v**3 - 2916*v**2 + 6*v + 70. Solve i(f) = 0 for f.
-54
Suppose -7*x + 2*x + 2*k = -33, 12 = 4*x + 2*k. Factor 26045*c**4 - 11*c - 7*c + 2*c - 26036*c**4 - c**x + 36*c**2 - 28*c**3.
-c*(c - 4)*(c - 2)**2*(c - 1)
Let r = -43 - -46. Let 3*p**2 - 12*p - 5*p**3 - 4*p**4 - 28*p**2 + 9*p**4 - r*p = 0. What is p?
-1, 0, 3
Factor -20164/3 - 284/3*o - 1/3*o**2.
-(o + 142)**2/3
Let m be ((201/(-1474))/((-1)/(-2)))/((-1)/11). Find a, given that 0*a + 28/5*a**4 - 44/5*a**2 + 16/5 + 12/5*a**5 - 12/5*a**m = 0.
-2, -1, 2/3, 1
Factor -1435/2*c + 1/4*c**2 + 2059225/4.
(c - 1435)**2/4
Let i(h) be the first derivative of h**6/18 - 4*h**5/15 - h**4/6 + 4*h**3/3 + 3*h**2/2 - 1387. Find j such that i(j) = 0.
-1, 0, 3
Let u(p) = -36*p**3 + 12961*p**2 - 2880*p - 3. Let l(a) = -66*a**3 + 25923*a**2 - 5760*a - 5. Let c(i) = 3*l(i) - 5*u(i). Factor c(t).
-2*t*(t - 720)*(9*t - 2)
Let n(r) be the first derivative of 5*r**4/48 - 55*r**3/12 + 605*r**2/8 + 39*r - 59. Let y(t) be the first derivative of n(t). Solve y(l) = 0.
11
Let y(g) be the second derivative of 13/2*g**3 - 87*g + 1/4*g**4 + 0 - 21*g**2. Factor y(m).
3*(m - 1)*(m + 14)
Let y(u) = 10*u + 13. Let i be y(-1). Let -5*c**i + 33*c + 5*c**2 + 0*c - 3*c = 0. What is c?
-2, 0, 3
Let h(d) be the second derivative of -d**8/6720 + d**7/168 - 7*d**6/360 - 19*d**4/12 - 102*d. Let t(c) be the third derivative of h(c). Factor t(j).
-j*(j - 14)*(j - 1)
Factor 70225/2 + 1/2*j**2 + 265*j.
(j + 265)**2/2
Let h(t) be the third derivative of t**7/840 - 3*t**6/80 - t**5/4 - t**4/12 - 83*t**3/6 + 9*t**2 + 11. Let i(u) be the second derivative of h(u). Factor i(k).
3*(k - 10)*(k + 1)
Let f = 17809/15638 - -9/2234. Let y be (-78)/(-56) - (-13)/(-52). Factor -y*w + 12/7*w**2 + 2/7*w**4 - f*w**3 + 2/7.
2*(w - 1)**4/7
Suppose 626688 = -8482*q + 8686*q. Factor 128*u**2 + 4/3*u**3 + q*u + 0.
4*u*(u + 48)**2/3
Let f be 3/(-30) - (-101)/10. Suppose 11*w - 42 = -f*w. Determine j, given that -3/5*j**4 + 0*j + 0*j**w + 3/5*j**3 + 0 = 0.
0, 1
Factor -651 - 4996*b + 0*b**2 + 4924*b - 8*b**2 + 11*b**2.
3*(b - 31)*(b + 7)
Suppose 10*r = -10 + 150. What is v in -12*v - 367 - 401 - 3*v**2 - 70*v - r*v = 0?
-16
Let c be 1 - -4 - ((-1)/9)/((-9)/405). Let m(f) be the second derivative of -1/16*f**4 + c*f**3 - 15*f + 3/8*f**2 + 0. Factor m(q).
-3*(q - 1)*(q + 1)/4
Let q(c) = 23*c - 13*c + 2*c**2 - 6*c - c**3. Let s be q(3). Factor -46*d**2 - 5*d - 60*d**s + 5*d + 8*d - 6*d**2.
-4*d*(d + 1)*(15*d - 2)
Let d = -20474 + 20474. Let n(l) be the first derivative of -3/14*l**4 + 29 + 0*l**2 + 0*l**3 + 3/35*l**5 + d*l + 1/14*l**6. Factor n(a).
3*a**3*(a - 1)*(a + 2)/7
Factor 6*r**2 + 4*r**4 + 0*r**5 - 8*r**2 + 8*r**3 - 9*r + r**5 - 4 + r**4 + r**4.
(r - 1)*(r + 1)**3*(r + 4)
Let f(y) = y**3 - 2*y**2 - 8*y + 9. Let i be f(1). Let p be 4/(-6) - (-2 + i/(-3)). Suppose -1/3*m**2 - p + 5/3*m = 0. Calculate m.
1, 4
Let m = 1752 - 1732. Let d(n) be the first derivative of 0*n - 1/15*n**6 - 2/25*n**5 + 1/5*n**4 + 0*n**2 - m + 0*n**3. Suppose d(r) = 0. Calculate r.
-2, 0, 1
Let y be (0*(-4)/32)/(28/(-4)). Solve -6/7*x - 3/7*x**2 + y = 0 for x.
-2, 0
Let p(n) be the third derivative of -n**6/1260 - 9*n**5/140 + n**4/3 - 163*n**3/6 + 148*n**2. Let u(k) be the first derivative of p(k). Factor u(q).
-2*(q - 1)*(q + 28)/7
Let d(s) = -4*s**3 + 211*s**2 + 1236*s + 1821. Let w(v) = -6*v**3 + 423*v**2 + 2470*v + 3641. Let k(g) = 5*d(g) - 3*w(g). Factor k(c).
-2*(c + 3)**2*(c + 101)
Let c(y) = -6*y**4 - 14*y**3 + 3*y. Let s(i) be the first derivative of 6*i**5/5 + 15*i**4/4 - 3*i**2/2 + 33. Let a(g) = 6*c(g) + 5*s(g). What is o in a(o) = 0?
-1, 0, 1/2
Suppose -d - 34*r = -35*r - 8, 4*d + 3*r = -10. Solve 156/5*v**d - 3042/5*v + 0 - 2/5*v**3 = 0 for v.
0, 39
Let m be (960/84)/8 - ((-9493)/847 - -11). Solve 258/11*s**2 + m*s**3 + 320/11*s + 104/11 = 0 for s.
-13, -2/3
Let u(l) be the third derivative of 0*l**7 + 0*l**3 - 6/35*l**5 + 17/420*l**6 + 0*l - 1/1176*l**8 + 3*l**2 - 4 + 5/21*l**4. Solve u(d) = 0 for d.
-5, 0, 1, 2
Suppose i + 2*k - 3*k = 59, -3*i - k + 177 = 0. Solve -85 + 5*r**3 + i - 45*r**2 + 100*r - 34 = 0 for r.
1, 2, 6
Let g(p) be the third derivative of 1183*p**8/80 + 4017*p**7/50 + 6999*p**6/40 + 19081*p**5/100 + 531*p**4/5 + 162*p**3/5 + 2*p**2 - 150*p. Factor g(b).
3*(b + 1)**3*(91*b + 18)**2/5
Factor 5*f**2 + 4*f**2 + 10089129 + 4515*f + 5074107 - 5*f**2 + 11061*f.
4*(f + 1947)**2
Let d be (-28)/(-98) - (-82)/7. Let j be (-44)/(-24) - (2 + (-20)/d). Factor 2*i**3 + i**2 - 2*i - j + 1/2*i**4.
(i - 1)*(i + 1)**2*(i + 3)/2
Let p = -41 - 3. Let s = -41 - p. Let 4*j**2 + j**3 + 0*j**3 - j**3 + 4*j**s = 0. Calculate j.
-1, 0
Solve 10/7*o**2 - 90/7*o - 2/7*o**4 