 23 = -5, 5*h - 3*z = 34. Let f(s) be the first derivative of -6*s**2 - 3/5*s**h - 3*s + 2*s**3 + 6*s**4 + 31 - 2*s**6. Solve f(y) = 0 for y.
-1, -1/4, 1
Let u(o) = 7*o**2 + 45*o + 144. Let j(d) be the second derivative of 0 - 22/3*d**3 - 72*d**2 - 9*d - 2/3*d**4. Let a(s) = -3*j(s) - 4*u(s). Factor a(y).
-4*(y + 6)**2
Let k be 24 - (-5)/(-10)*6. Let v = 24 - k. Solve -8*i**5 - 15*i**2 + 7*i**5 - 2*i**5 + 13*i**v + 14*i**3 - 9*i**4 = 0.
-5, 0, 1
Let z(s) be the second derivative of -9*s**2 - 1/4*s**4 - 37*s - 5/2*s**3 + 0. Factor z(c).
-3*(c + 2)*(c + 3)
Let r = -103 - -105. Let d = 7235 - 36171/5. Factor -d*z**r - 16/5*z**4 + 0 - 6/5*z**5 + 0*z - 14/5*z**3.
-2*z**2*(z + 1)**2*(3*z + 2)/5
Let b be ((-140)/(-10) + 12)*(-4)/(-26). Let -14/9*a + b - 2/9*a**2 = 0. What is a?
-9, 2
Let k(q) = 2*q**2 - 21970*q - 30184141. Let w(o) = 20*o**2 - 241672*o - 332025516. Let l(g) = 32*k(g) - 3*w(g). Factor l(d).
4*(d + 2747)**2
Let m = -4987303/4 - -1246828. Find r, given that -9/4*r + m*r**3 - 5/4 + 7/4*r**2 - 1/2*r**4 = 0.
-1, -1/2, 1, 5
Let t(k) = -2*k + 28. Let c be t(17). Let h(p) = p**2 + 4*p + 6. Let x be h(c). Suppose 17*m**4 + 5*m**3 - 2*m**3 - 3*m**2 + m - x*m**4 = 0. Calculate m.
0, 1
Let n(l) be the third derivative of 0*l**3 + 0 + 1/2100*l**7 - 1/300*l**6 - 1/120*l**4 + 0*l + 1/120*l**5 + 140*l**2. Factor n(o).
o*(o - 2)*(o - 1)**2/10
Let s = 687 + -671. Let l be (2 + s/(-12))/((-16)/(-6)). Factor 1/4*h - l*h**3 + 1/4*h**2 - 1/4.
-(h - 1)**2*(h + 1)/4
Suppose -60*c + 30*c = -1530. Factor -64 + 5*h + 108*h + c*h**2 + 36*h**3 - 4*h**4 - 163*h**2 + 31*h.
-4*(h - 4)*(h - 2)**2*(h - 1)
Let y be (-1 - 9/(-5)) + 822/91105*-57. Factor y*z**2 + 288/7 - 48/7*z.
2*(z - 12)**2/7
Let t(d) = 14*d**3 + 83*d**2 + 6*d - 93. Let g(q) = 8*q**3 + 41*q**2 + 3*q - 48. Let b(c) = -5*g(c) + 2*t(c). Factor b(p).
-3*(p - 1)*(p + 2)*(4*p + 9)
Factor 14771883/5 + 13314/5*l + 3/5*l**2.
3*(l + 2219)**2/5
Let z(h) be the second derivative of -h**6/30 + 2*h**5/5 + 7*h**4/6 + 49*h**2/2 + 47*h. Let m(f) be the first derivative of z(f). Factor m(u).
-4*u*(u - 7)*(u + 1)
Let f(z) be the third derivative of -9/8*z**4 - 4 + 0*z - 11/20*z**5 + z**3 - 4*z**2. Determine q, given that f(q) = 0.
-1, 2/11
Suppose 8*y + 11761 = 36057. Factor 5*d**2 + 4760 - y - 280*d + 2197.
5*(d - 28)**2
Let p(j) = 9*j**3 - 485*j**2 - 852*j + 356. Let f(n) = 65*n**3 - 3395*n**2 - 5965*n + 2500. Let l(v) = -8*f(v) + 55*p(v). Factor l(k).
-5*(k - 21)*(k + 2)*(5*k - 2)
Let w(b) = 2*b**3 - 2*b**2 - 266*b + 26. Let x be w(12). Determine d so that -2/11*d**x + 0 + 2/11*d = 0.
0, 1
Let f(d) = 4*d**2 - 108*d + 208. Let h(w) = 12*w**2 - 326*w + 626. Let g(n) = -11*f(n) + 4*h(n). Find q, given that g(q) = 0.
2, 27
Suppose -13*y - 693 = -46*y. Suppose 9*w**3 + 105 - y*w**3 - 6*w**2 - 3*w**2 - 99*w + 15*w**3 = 0. What is w?
-5, 1, 7
Let x(a) be the first derivative of a**3/4 - 30*a**2 + 117*a - 1064. What is p in x(p) = 0?
2, 78
Let x(c) be the third derivative of 0*c - 115*c**2 - 1/60*c**6 - 19/24*c**4 + 4/3*c**3 + 9/40*c**5 - 1/420*c**7 + 0. Factor x(o).
-(o - 2)*(o - 1)**2*(o + 8)/2
Let n be -1*(26/(-91) - 26/7). Suppose 0 = -4*m + 6*m - j - 8, n*j + 24 = 4*m. Factor 14/11*c**4 + 4*c**m + 26/11*c + 2/11*c**5 + 36/11*c**3 + 6/11.
2*(c + 1)**4*(c + 3)/11
Let m = 18349/18 + -9134/9. Let f(k) = 2*k + 31. Let j be f(-13). Find d such that -1/2 + m*d + j*d**2 = 0.
-1, 1/10
Suppose -2884/3 - 440/3*u - 4/3*u**2 = 0. Calculate u.
-103, -7
Suppose -5*g + 5*o = -695, -583 = -4*g - 0*g - 5*o. Let q = 142 - g. Factor q*r**3 - 1/2*r**4 + 0*r + r**2 - 1/2.
-(r - 1)**2*(r + 1)**2/2
Solve 296/5*j**3 - 8/5*j**2 + 0 + 0*j - 146/5*j**4 = 0.
0, 2/73, 2
Suppose 15*b - 523*b + 1845 = -9*b + 116*b. Let -1/2*p**4 + 77/2*p - 13/2*p**b + 49 - 33/2*p**2 = 0. What is p?
-7, -1, 2
Let l(c) be the first derivative of 1/6*c**4 + 0*c - c**2 + 0*c**3 - 1/6*c**5 - 2. Let z(b) be the second derivative of l(b). Factor z(g).
-2*g*(5*g - 2)
Let m(z) be the second derivative of -95/6*z**3 + 55/12*z**4 - 1/4*z**5 - 91*z + 45/2*z**2 + 0. Determine t so that m(t) = 0.
1, 9
Let q(s) = 71*s - 548. Let j be q(8). Suppose -5*o + 14*a = 9*a - j, 2*o - a - 7 = 0. Factor 0 - 2/15*w**o - 8/15*w - 8/15*w**2.
-2*w*(w + 2)**2/15
Suppose -u = 85 - 87. Solve 4*i**3 - 3*i + 4*i**4 - 28*i**5 - 2*i**3 + 29*i**5 - 4*i**u = 0 for i.
-3, -1, 0, 1
Let k = 3674218/5 + -734843. Find o, given that 9/5*o + 0 - k*o**2 = 0.
0, 3
Let u(q) be the third derivative of q**7/1890 - 7*q**6/270 + 91*q**5/540 + 5*q**4/9 - 3389*q**2. Let u(t) = 0. What is t?
-1, 0, 5, 24
Let i = -81 - -76. Let d be (-5216)/(-160) - 2/i. Factor 2*r**2 + 4*r**2 + 38*r**3 + 14*r**2 - 5*r - d*r**3 - 20.
5*(r - 1)*(r + 1)*(r + 4)
Let v be (712/840 - 1) + 63/49 + -1. Let t(s) be the first derivative of -v*s**3 - s**2 - 12 + 1/2*s**4 + 2/25*s**5 + 0*s. Suppose t(o) = 0. Calculate o.
-5, -1, 0, 1
Let q(m) = 11*m**2 - 56*m - 1272. Let l(c) = -10*c**2 + 50*c + 1270. Let y(n) = 6*l(n) + 5*q(n). Factor y(v).
-5*(v - 18)*(v + 14)
Let z(q) be the third derivative of -q**5/28 - 13*q**4 + 146*q**3/7 - 112*q**2 + 5*q - 1. Determine v, given that z(v) = 0.
-146, 2/5
Let u(z) = 11*z**4 + 62*z**3 + 93*z**2 - 56*z - 100. Let r(j) = -80*j**4 - 435*j**3 - 650*j**2 + 390*j + 700. Let c(n) = 2*r(n) + 15*u(n). Solve c(s) = 0.
-10, -2, -1, 1
Let t(k) be the second derivative of k**4/6 - 107*k**3/3 + 106*k**2 - 5624*k. Factor t(f).
2*(f - 106)*(f - 1)
Factor 5*o**2 - 20*o**2 - 36*o**2 + 260*o + 4*o**3 - 168 - 45*o**2.
4*(o - 21)*(o - 2)*(o - 1)
Suppose -2*o + 2*n + 1525 = 1503, n + 17 = 2*o. Solve -9/5*d**2 - 39/5*d + o = 0 for d.
-5, 2/3
Let p be (-2 - 0) + (2 - 1 - -2). Suppose -2*f - 4*w + 7 = -w, -f = -3*w + p. Factor -v**2 + 275*v + 6 - 272*v - 2*v**f.
-3*(v - 2)*(v + 1)
Let u(k) be the third derivative of k**5/60 + 4*k**4 - 2*k**2 + 211. Factor u(s).
s*(s + 96)
Factor 4/9*v**2 + 50/9*v + 28/3.
2*(v + 2)*(2*v + 21)/9
Let l(s) = s**3 + 11*s**2 - 13*s - 10. Let r be l(-12). Let 7407*v**3 - 7387*v**3 - 4*v**5 - 16*v - 2*v**2 + r*v**2 = 0. What is v?
-2, -1, 0, 1, 2
Let t(f) be the second derivative of -f**6/120 - f**5/80 + 291*f + 4. Let t(l) = 0. Calculate l.
-1, 0
Let c = -5 + 0. Let y be c/(-2)*16/4. Factor -8 + 8 + x**3 - 5*x - 6*x**3 + y*x**2.
-5*x*(x - 1)**2
Let -3/2*g**5 - 117*g**3 + 675/2 + 45/2*g - 45/2*g**4 - 219*g**2 = 0. Calculate g.
-5, -3, 1
What is i in -41/2*i + 83/4 - 1/4*i**2 = 0?
-83, 1
Let u(q) be the second derivative of 27/8*q**4 + 75/4*q**2 + 12 - 51/4*q**3 - 2*q - 3/40*q**5. Factor u(x).
-3*(x - 25)*(x - 1)**2/2
Let t(q) be the second derivative of -q**7/98 - 7*q**6/5 - 144*q**5/35 + 7*q - 10. Find m such that t(m) = 0.
-96, -2, 0
Suppose -2*t - 80 = -5*y, 0*y + 3*t = 4*y - 71. Suppose -w - 5 = -f, y = 4*f - 2*w + w. Factor 121*n**2 + 7*n**3 - 113*n**2 - 15*n**f + 4*n**4 - 2*n**4.
2*n**2*(n - 2)**2
Suppose -3*r + 3*k + 7 = 2*k, 5*r = 5*k + 15. Let -v - 22*v**2 + 35*v**2 - 14*v**2 + r = 0. Calculate v.
-2, 1
Factor -60200*k - 200*k**3 + 181202 + 6854*k**2 - 920*k**4 - 650*k**2 + 922*k**4.
2*(k - 43)**2*(k - 7)**2
Let c = -319/85 - -4317/1105. Find w such that -4/13*w + 30/13 - c*w**2 = 0.
-5, 3
Suppose -26 - 25 + 3 - 30*y**2 - 9*y**3 + 76*y + 34*y**3 - 23*y**3 = 0. What is y?
1, 2, 12
Let o be (3 + 3/(-9))/((-24)/(-108)). Let r be (6/18*o)/2. Factor 4/17*u - 2/17*u**r + 0.
-2*u*(u - 2)/17
Let b(m) be the second derivative of m**4/32 + 11*m**3/16 - 15*m**2 + 5597*m. Suppose b(h) = 0. Calculate h.
-16, 5
Suppose -927 = 12*p - 987. Solve -1/5*y + 0*y**3 + 1/5*y**p + 0 + 2/5*y**4 - 2/5*y**2 = 0 for y.
-1, 0, 1
Let f(q) be the second derivative of -q**6/135 + 7*q**5/15 - 157*q**4/54 + 64*q**3/9 - 76*q**2/9 - 571*q - 1. Suppose f(h) = 0. What is h?
1, 2, 38
Let p(d) = -3*d**3 - d**2 + 7*d + 1. Let i(u) = 15*u**3 + 150*u**2 - 687*u - 6. Let z(k) = -i(k) - 6*p(k). Factor z(y).
3*y*(y - 43)*(y - 5)
Let g(d) be the first derivative of 85*d**4/4 + 335*d**3/2 + 190*d**2 - 75*d/2 - 11731. Let g(w) = 0. Calculate w.
-5, -1, 3/34
Let t(h) be the first derivative of -3*h**4/4 - 702*h**3 - 369603*h**2/2 - 10461. Factor t(s).
-3*s*(s + 351)**2
Suppose -5 + 9 = a. Suppose -a*t = -8*t + 4. Determine m, given that 6 + t - 3 + 16*m + 12*m**2 = 0.
-1, -1/3
Let h(a) be the first derivative of 39/8*a**2 + 1/8*a**3 - 129 + 0*a. S