nd f such that 0*f + 927/5*f**3 + 0 - 1/5*f**4 + 0*f**2 = 0.
0, 927
Suppose -2877 = -10*z - 2677. Let s(w) be the second derivative of 145/12*w**4 + 0 + z*w**3 + 9/4*w**5 + 13*w + 10*w**2. Solve s(h) = 0.
-2, -1, -2/9
Let m be (25/9 - (6 - 3))/(72/(-54)). Let z(u) be the second derivative of 0*u**3 + 31*u + 5/12*u**4 + 0 + 0*u**2 + m*u**6 - 1/2*u**5. Factor z(x).
5*x**2*(x - 1)**2
Suppose -9/5*m**3 - 12/5*m**2 - 3/5*m**5 + 12/5*m + 0 + 12/5*m**4 = 0. Calculate m.
-1, 0, 1, 2
Let u = 451 + -447. Factor 1861*r - 4 - 2*r**2 + u - 1851*r + r**2.
-r*(r - 10)
Determine f, given that -12 - 33/8*f**3 + 3/2*f**4 + 3/8*f**5 + 24*f - 39/4*f**2 = 0.
-4, 1, 2
Let m(v) be the first derivative of 5*v**4/4 + 25*v**3 + 64. Solve m(y) = 0 for y.
-15, 0
Suppose 0 = u - 4, -5*u - 23 + 46 = q. Determine r so that 0 + 0*r - 8/5*r**2 + 2/5*r**q = 0.
0, 4
Suppose -8*j - 30 = -222. Let k = j + -21. What is b in -k*b**2 - b + b**2 - 7*b - 2*b**2 + 12 = 0?
-3, 1
Let h be (17184/1680)/((-3)/(-7)). Let u = h + -64/15. What is v in 1226/5*v**2 + u*v**4 + 552/5*v + 644/5*v**3 + 72/5 = 0?
-3, -2/7
Factor 5/6*q**4 - 5/6*q**2 + 15*q + 0 - 15*q**3.
5*q*(q - 18)*(q - 1)*(q + 1)/6
Let j(m) be the third derivative of -19*m**5/100 + 3*m**4/10 - m**2 + 508*m - 5. Factor j(u).
-3*u*(19*u - 12)/5
Let h(o) be the first derivative of o**7/490 - 9*o**6/140 - 2*o**5/7 - 87*o**2/2 - 175. Let i(q) be the second derivative of h(q). Solve i(d) = 0 for d.
-2, 0, 20
Suppose -7*z - 5*w + 77 = -6*z, -2*z + 5*w = -139. Let r be (-18)/12*z/(-81). Solve r - 4/3*o - 3*o**2 + 5/3*o**4 + 7/3*o**3 - o**5 = 0.
-1, 2/3, 1, 2
Suppose -14*d = 14*d + 140. Let m be d/10*8/(-16). What is i in 3/4*i + m*i**3 - 1/4 - 3/4*i**2 = 0?
1
Suppose 0 = 51*z - 86 - 271. Let -14*u - 2*u**5 - 38659 + 18*u**3 + 38671 - 19*u**2 - 2*u**3 + z*u**2 = 0. What is u?
-3, -1, 1, 2
Let z(t) be the third derivative of t**7/6 + 17*t**6 + 515*t**5/12 + 95*t**4/4 - 206*t**2 + 2. Solve z(v) = 0 for v.
-57, -1, -2/7, 0
Let o be ((44064/(-63))/(-8))/(1/21). Let w be (-136)/o - 83/(-27). Find m, given that 0 + 20/19*m**2 - 2/19*m**w - 50/19*m = 0.
0, 5
Let x(b) = -5*b**2 + 9*b - 13. Let n(v) = -v**2 - v - 1. Suppose 0 = -2*f + 12. Let z(k) = f*n(k) - 2*x(k). Factor z(q).
4*(q - 5)*(q - 1)
Let c(y) be the first derivative of -y**6/468 + y**5/780 - 152*y**3/3 - 31. Let h(x) be the third derivative of c(x). Factor h(q).
-2*q*(5*q - 1)/13
Let w(h) be the first derivative of 2*h**3/5 - 63*h**2/10 + 24*h + 957. Factor w(y).
3*(y - 8)*(2*y - 5)/5
Let v = 3395/408 + -1041/136. Let -46/3*q**2 - v*q**3 - 50/3 + 98/3*q = 0. Calculate q.
-25, 1
Let b(i) = i**3 + 8*i**2 - 3*i - 20. Let k be b(-8). Solve 0*v**3 - 3*v**3 + 7*v**3 + 2*v**5 - 9*v**k + 3*v**4 = 0 for v.
0, 1, 2
Let r be (-2490)/(-280) - (-396)/3696. Factor 5/3*v**4 + v**3 - r*v**2 + 25/3*v - 2.
(v - 1)**2*(v + 3)*(5*v - 2)/3
Let j(z) be the second derivative of 4*z**2 - 26/9*z**3 - 2 + 8/9*z**4 + 45*z - 1/15*z**5. Factor j(f).
-4*(f - 6)*(f - 1)**2/3
Let 2704*q**2 + 670*q**3 + 923*q - 888*q**2 - 882 + 368*q + 98*q**4 + 74*q + 5*q**5 = 0. What is q?
-7, -3, 2/5
Let d = 154 + -157. Let b be 2 - d - (-3)/(-6)*2. Solve -16/7 + 40/7*j - 2/7*j**b - 36/7*j**2 + 2*j**3 = 0 for j.
1, 2
Factor -274*d**3 - 3627 + 252*d**2 + 1856*d - 396*d**3 - 1125 + 674*d**3.
4*(d - 2)*(d + 11)*(d + 54)
Let g = -3651 - -3651. Let l(a) be the second derivative of -3/20*a**5 + g - 24*a**3 + 19*a - 96*a**2 - 3*a**4. Factor l(b).
-3*(b + 4)**3
Let v = 62 + -74. Let h be ((-21)/(-27) - -1) + v/(-54). Suppose 0*o**3 + 0*o + 1/6 + 1/6*o**4 - 1/3*o**h = 0. Calculate o.
-1, 1
Suppose -255 = 6*v - 543. Factor 80*h - v - 9*h**2 - 10*h**2 + 14*h**2 - 7*h**2.
-4*(h - 6)*(3*h - 2)
Suppose -26*v**4 - 80*v**3 - 600*v**3 - 36*v**4 + 1770*v**2 - 5*v**5 - 25410 + 12925*v + v**4 - 59*v**4 = 0. What is v?
-11, -7, 2, 3
Let s(n) be the second derivative of n**5/4 + 85*n**4/4 - 400*n**3/3 + 270*n**2 - 2262*n. Determine q so that s(q) = 0.
-54, 1, 2
Let 14*a**3 - 5*a**3 + 50 - 2*a**4 + 11*a**3 - 20*a - 48*a**2 + 0*a = 0. What is a?
-1, 1, 5
Suppose 59*d + 5*n = 64*d - 30, 12 = 5*d + n. Let x(o) be the first derivative of -4*o**d - 8*o - 9*o**2 - 1 - 1/2*o**4. Let x(y) = 0. Calculate y.
-4, -1
Let s be 0 + -207*2/(-177) + -2. Let o = s - 182/885. Factor -2/15*l**5 + 0*l + 0 + 2/5*l**4 - 2/5*l**3 + o*l**2.
-2*l**2*(l - 1)**3/15
Let n(i) be the first derivative of i**6/1980 + i**5/66 + 7*i**4/44 - 62*i**3 - 12. Let u(c) be the third derivative of n(c). Solve u(b) = 0.
-7, -3
Let g(q) be the third derivative of 7*q**5/120 + 817*q**4/6 - 467*q**3/3 - 2996*q**2. Let g(i) = 0. Calculate i.
-934, 2/7
Suppose -m - 5*d = -9, -6*m + 2*m - 5*d = -111. Suppose 0 = 15*h - m*h - 24*h. Solve h + 0*x - 3/2*x**2 = 0.
0
Let p(a) = 3*a**5 + 2*a**4 - 19*a**3 - 36*a**2 - 14*a. Let w(m) = m**5 + m**4 - m**3 + 3*m. Suppose 51*v = 32*v - 19. Let f(g) = v*p(g) + 2*w(g). Factor f(q).
-q*(q - 5)*(q + 1)*(q + 2)**2
Let y(r) be the first derivative of -5*r**3/3 + 955*r**2 + 3840*r + 4897. Factor y(i).
-5*(i - 384)*(i + 2)
Let w(i) = i**2 + i. Suppose 13*l - 10*l - 132 = 0. Let y(x) = -8 + 21*x + 69*x - l*x**2 - 44*x. Let q(t) = 6*w(t) - y(t). Determine c, given that q(c) = 0.
2/5
Let l be 0 + (-76026)/26*(-60)/(-90). Let v = l + 1952. Let 8/13 + v*f**2 + 40/13*f + 8/13*f**3 = 0. Calculate f.
-2, -1/4
Let n(g) be the third derivative of -g**8/2856 + 62*g**7/595 - 2883*g**6/340 + 26*g**2 - 13*g. Determine v, given that n(v) = 0.
0, 93
Suppose 8*g = -5*r + 9*g + 79, -g + 1 = 0. Let s be (-3)/13*r*128/(-192). Let 0 + 2/13*y**3 + s*y - 16/13*y**2 = 0. Calculate y.
0, 4
Let o be ((-67)/((-45962)/(-245)) + (-1)/7)*0/(-2). Factor -8/19*j**3 + 0*j + 8/19*j**2 + 2/19*j**4 + o.
2*j**2*(j - 2)**2/19
Factor 368*s**3 + 662*s + 1132*s**2 + 20 - 4*s**4 - 20 + 98*s.
-4*s*(s - 95)*(s + 1)*(s + 2)
Find y such that -2/13*y**2 - 616/13 - 618/13*y = 0.
-308, -1
Let l = -36 - -42. What is v in -42*v**4 - 216*v - 3*v**5 + 104*v**4 - 386*v**2 - l*v**3 - 35*v**4 + 134*v**2 = 0?
-2, -1, 0, 6
Let f(x) = 287*x**2 + 5506*x + 26248. Let r(h) = 573*h**2 + 11011*h + 52498. Let j(m) = -15*f(m) + 6*r(m). What is t in j(t) = 0?
-162/17
Let r(j) = 26*j + 373. Let a be r(-37). Let d = a - -589. Factor -22/3*h**2 - 4*h - 2*h**3 + d.
-2*h*(h + 3)*(3*h + 2)/3
Factor -243*w - 732 + 1/3*w**2.
(w - 732)*(w + 3)/3
Let t(r) be the second derivative of -2*r**7/147 + 166*r**6/105 + 1230*r. Solve t(b) = 0 for b.
0, 83
Let g(b) be the third derivative of -2*b**5/45 - 1717*b**4/36 - 143*b**3/3 - 1880*b**2. What is j in g(j) = 0?
-429, -1/4
Let j(d) = d**2 + 3*d - 2. Suppose 14 = 2*w + 4. Let l be j(w). Factor -32*p - 22 - 5*p**2 + l + 9*p**2 + 48.
4*(p - 4)**2
Let a(z) be the first derivative of 2*z**3/9 - 229*z**2/3 - 308*z - 1556. Factor a(n).
2*(n - 231)*(n + 2)/3
Suppose 5*p + 49 = -2*v, 2*v - 4 = p + 1. Let u be (p/6)/(18/(-120)). Factor 5*w**2 - u + w - 14*w + 8*w.
5*(w - 2)*(w + 1)
Solve -117 + 45*h**2 - 42*h**2 - 129 + 117*h = 0 for h.
-41, 2
Let n(m) be the third derivative of -m**8/1344 - m**7/168 - m**6/240 + 7*m**5/120 + m**4/32 - 3*m**3/8 + 1304*m**2. Determine f so that n(f) = 0.
-3, -1, 1
Let s = -1502 - -1505. Let i(l) be the first derivative of 1 - 6*l + l**s - 3/2*l**2. Factor i(q).
3*(q - 2)*(q + 1)
Factor -640/7 - 2/7*f**3 - 24*f**2 - 648/7*f.
-2*(f + 2)**2*(f + 80)/7
Let v(p) be the second derivative of 8/3*p**2 + 122*p + 0 - 2/3*p**3 - 1/9*p**4. Factor v(j).
-4*(j - 1)*(j + 4)/3
Let x(z) be the second derivative of -z**4/2 + 535*z**3/14 - 171*z**2/7 - 1321*z. Determine m, given that x(m) = 0.
3/14, 38
Let x(i) be the first derivative of i**5/20 - 3*i**4/2 + 18*i**3 + 48*i**2 - 17. Let t(s) be the second derivative of x(s). Factor t(a).
3*(a - 6)**2
Let u(p) = -2*p + 10. Let z(w) = w**2 - 6*w + 9. Let d be z(5). Let b be u(d). Find g, given that -11*g**3 + 89*g**2 + 22*g + 19*g**3 - 63*g**b + 4 = 0.
-2, -1, -1/4
Let d = -220049/4 - -55013. Factor 0 - 6*o**3 - d*o**4 + 9*o**2 + 3/4*o**5 + 0*o.
3*o**2*(o - 2)**2*(o + 3)/4
Suppose -49*g = -47*g - 6655 + 6637. Suppose -3/2*y**4 - 15/2*y**3 + 15/2*y - g + 21/2*y**2 = 0. What is y?
-6, -1, 1
Let v(x) = 3*x**3 + 2*x**2 - 17*x + 130. Let f be v(6). Let d = 750 - f. Find l, given that 12/5*l**3 + 0 - 1/5*l**4 - 9*l**d + 10*l = 0.
0, 2, 5
Let t be 11/2 + 