 t so that 50 + 40*t**3 - 115*t + 12*t**5 + 4*t**5 + 5*t**5 + 50*t**2 - 26*t**5 - 20*t**4 = 0.
-5, -2, 1
Factor -770 + 574 + 2749*l - 341*l - 2208 + 43*l**2 - 47*l**2.
-4*(l - 601)*(l - 1)
Suppose 10*z - 11*z = -72. Let i be (2/(-4))/((-18)/z). Factor -6*q - 2*q**2 + 0*q**i - 37*q**3 + 4 + 43*q**3 - 2*q**4.
-2*(q - 2)*(q - 1)**2*(q + 1)
Let k(u) be the second derivative of -u**4/6 - 586*u**3 - 772641*u**2 + 1361*u. Determine t so that k(t) = 0.
-879
Let l(m) be the first derivative of 0*m**2 + 0*m + 148 + 0*m**3 + 4/5*m**5 - 19*m**4. Factor l(g).
4*g**3*(g - 19)
Let z(x) = -20*x**4 + 2*x**3 - 210*x**2 + 466*x - 224. Let t(u) = -3*u**4 + 2*u**3 + 2*u + 1. Let r(p) = -21*t(p) + 3*z(p). Factor r(o).
3*(o - 21)*(o - 1)**2*(o + 11)
Let d be (((-32)/24)/1)/(-36). Let c(k) be the first derivative of 4/9*k + d*k**3 - 3 - 2/9*k**2. Find p such that c(p) = 0.
2
Let t(f) be the first derivative of 5/6*f**4 + 0*f + 13/3*f**3 + 0*f**2 + 16 + 2/15*f**5 - 1/90*f**6. Let z(i) be the third derivative of t(i). Factor z(x).
-4*(x - 5)*(x + 1)
Suppose -12 = -3*l, -5*p - l + 7*l - 14 = 0. Suppose 2*t + 12 = 2*o - 0*t, 0 = -2*o - t + 15. Factor -4*r**3 - 26*r - 4 + o*r + 7*r + 5*r**p - 17*r**2.
-4*(r + 1)**3
Let w = 65 - 32. Let g = w - 18. Let -s**5 + 9*s**2 - 3*s**4 + 9 - 2*s**5 - 15*s + 8*s**3 - g*s**2 + 10*s**3 = 0. What is s?
-3, -1, 1
Let c be 1 - (-7 - 1044/(-145)). Let -c*d**4 - 2/5*d**2 + 7/5*d**3 - 1/5*d + 0 = 0. Calculate d.
-1/4, 0, 1
Suppose 4/5*c**2 - 1/10*c**5 + 4/5*c**3 - 1/10*c**4 - 8/5 - 8/5*c = 0. What is c?
-2, -1, 2
Factor 11324 + 11432 + 36*u**2 - 56*u - 4*u**3 - 22852.
-4*(u - 6)*(u - 4)*(u + 1)
Suppose -r + 2*p + 4 = 6, 5*r + 3*p - 16 = 0. Let h(m) be the first derivative of 20 + 0*m + 1/12*m**3 - 1/2*m**r. Determine q, given that h(q) = 0.
0, 4
Suppose 0*a = 25*a - 50. Factor 4*o**2 - 13*o**2 - 9*o**a - 2*o**3 + 0*o + 20*o.
-2*o*(o - 1)*(o + 10)
Let i = -4/49679 - -4024015/198716. Determine k so that -27/2*k**2 - 3/8*k**4 - 81/8 + i*k + 15/4*k**3 = 0.
1, 3
Let p be 3/30*-4 - (-255)/75. Factor 0 - 51835*u**3 + p*u**2 + 51833*u**3 + 4 + 8*u - u**4.
-(u - 2)*(u + 1)**2*(u + 2)
Let n(g) be the third derivative of 0 + 0*g**3 - 5/12*g**4 + 0*g - 187*g**2 - 5/12*g**5 - 1/6*g**6 - 1/42*g**7. Factor n(o).
-5*o*(o + 1)**2*(o + 2)
Let o(j) be the second derivative of -1/60*j**5 - 392/3*j**2 + 0 + 55/36*j**4 - 364/9*j**3 + 89*j. Let o(y) = 0. What is y?
-1, 28
Let u = 807345 + -1614689/2. Determine x, given that 5/2*x**3 + 2*x + 0 + u*x**4 + 4*x**2 = 0.
-2, -1, 0
Factor -353*r**3 - 5*r**4 - 96313*r - 147*r**3 - 985*r**2 + 95823*r.
-5*r*(r + 1)**2*(r + 98)
Let n be 4/34 - 415/(-85). Suppose 12*v - 28 = n*v. Factor 0*c + 2/5*c**v + 12/5*c**3 + 0 + 18/5*c**2.
2*c**2*(c + 3)**2/5
Let b(j) be the first derivative of 15*j - 5/2*j**2 - 5/12*j**4 + 3 - 5/3*j**3. Let q(f) be the first derivative of b(f). Factor q(o).
-5*(o + 1)**2
Suppose 791*i + 3 = 790*i. Let q be -15*((i - -6)/15)/(-1). Suppose 11/8*u**2 - 1/2 + 2*u - 9/8*u**q = 0. What is u?
-1, 2/9, 2
Factor 4/3*l**5 + 0 + 0*l**2 - 256/3*l**3 + 0*l + 16*l**4.
4*l**3*(l - 4)*(l + 16)/3
Let d(s) = 5*s**5 - 18*s**4 + 13*s**3 - 8*s - 4. Let z(h) = h**3 + h + 1. Suppose -2*i - 5 - 37 = 0. Let w = i + 22. Let g(t) = w*d(t) + 4*z(t). Factor g(p).
p*(p - 2)*(p - 1)**2*(5*p + 2)
Determine l, given that -614 + 310*l**4 + 8*l**5 - 990*l**3 + 938 + 1626 - 3*l**5 - 940*l**2 + 2305*l = 0.
-65, -1, 2, 3
Let v(c) = -12*c**4 + 21*c + 5*c**4 - 23*c + 18*c**3 + 2. Let f(i) = 15*i**4 - 35*i**3 + 5*i - 5. Let n(g) = 2*f(g) + 5*v(g). Let n(d) = 0. What is d?
0, 4
Let w(j) be the third derivative of 1/2*j**3 + 1/20*j**6 - 1/10*j**5 + 13*j**2 - 1/112*j**8 + 0 - 1/8*j**4 + 1/70*j**7 + 7*j. Factor w(k).
-3*(k - 1)**3*(k + 1)**2
Suppose -264 = -20*i - 46*i. Solve i*n**5 + 10*n**2 + n**5 + 0*n**5 + 10*n**3 - 186 + 191 - 15*n**4 - 15*n = 0.
-1, 1
Let u(f) = 9*f**2 - 4*f - 43. Let l(d) = 4*d**2 - 2*d - 22. Let o(s) = 5*l(s) - 2*u(s). Factor o(a).
2*(a - 4)*(a + 3)
Let u(p) = 2*p**2 + p + 1. Let w be u(-2). Solve b**2 - 3*b - 159*b**3 - w*b**2 + 156*b**3 = 0.
-1, 0
Let j(o) be the second derivative of -3*o**5/20 + 372*o**4 - 6082*o. Determine v so that j(v) = 0.
0, 1488
Find k such that -11613*k + 559*k**2 - 126*k**4 + 2276*k**3 - 5667*k + 13824 - 66*k**4 + 4*k**5 + 809*k**2 = 0.
-3, 1, 2, 24
Let j(i) be the first derivative of -i**6/10 - 6*i**5/5 - 7*i**4/4 - 84*i - 156. Let o(b) be the first derivative of j(b). Determine s so that o(s) = 0.
-7, -1, 0
Let v = -670 + 673. Let c(n) be the second derivative of -1/36*n**4 + 0*n**2 - 1/180*n**6 + 2*n + 0*n**v - 1/40*n**5 + 0. Find i, given that c(i) = 0.
-2, -1, 0
Let s be (12/102 - 778/255)*(5 + (-75)/10). Factor -2/3*u**3 - s - 6*u**2 + 14*u.
-2*(u - 1)**2*(u + 11)/3
Let -8/19*a**3 - 2448/19 - 9782/19*a**2 + 12238/19*a = 0. Calculate a.
-1224, 1/4, 1
Let r be 58/(-5 + 7)*4. Let m = r - 113. Factor 2/11*b**2 + 6/11*b**m + 0 + 0*b.
2*b**2*(3*b + 1)/11
Let b(k) = -6*k**2 - 572*k - 1220. Let h(g) = 5*g**2 + 579*g + 1218. Let x(u) = -4*b(u) - 5*h(u). Determine c, given that x(c) = 0.
-605, -2
Let p be (-5 - -6)/((92 - 90)*1/12). Let b(w) be the first derivative of 0*w - w**2 + 16/3*w**3 + 46 + 44/5*w**5 - 21/2*w**4 - 8/3*w**p. Solve b(t) = 0 for t.
0, 1/4, 1/2, 1
Suppose -6*l - 54 = -24*l. Suppose l*c = -2*b, 7*c - 8*c + b = 0. Factor 1/10*r**4 + 0*r + c - 1/10*r**2 + 0*r**3.
r**2*(r - 1)*(r + 1)/10
Suppose 2*n - 2 = -4*s + 42, 0 = -3*s - 5*n + 40. Let w(p) be the first derivative of s + 3/2*p + 1/2*p**3 + 3/2*p**2. Factor w(m).
3*(m + 1)**2/2
Let g(t) be the third derivative of -t**8/392 - 79*t**7/735 + 59*t**6/420 + 131*t**5/210 - 9*t**4/7 - 219*t**2 + 20. What is p in g(p) = 0?
-27, -4/3, 0, 1
Let q be 2240/(-26) + (-202)/(-1313). Let u = 88 + q. Factor -9/2*c - 3/2*c**u - 3.
-3*(c + 1)*(c + 2)/2
Let a be (5163/(-84))/((-17)/(-68)). Let f = a + 246. Factor -1/7*i**5 + 0 + f*i - 2/7*i**2 + 2/7*i**4 + 0*i**3.
-i*(i - 1)**3*(i + 1)/7
Solve -1560/7*y**2 + 3600/7*y + 129/7*y**3 - 3/7*y**4 + 0 = 0.
0, 3, 20
Determine x so that -63189*x**2 + 2112 + 31599*x**2 + 31586*x**2 + 148*x = 0.
-11, 48
Suppose 3*w - 4*t + 4 = 0, -2*t + 16 = w + t. Find d, given that -6*d - w*d - d + 9 + d**2 + 21*d = 0.
-9, -1
Let b(j) be the first derivative of j**4/16 - 25*j**3/12 + 89*j**2/4 - 84*j + 3103. Determine v so that b(v) = 0.
3, 8, 14
Let q(v) = v**2 + 24*v - 48. Suppose -10*j - 7 = -11*j. Let z(f) = 25 - 24*f + j + 25 - 9. Let g(k) = -3*q(k) - 4*z(k). Factor g(b).
-3*(b - 4)**2
Let v(r) = 3*r**2 + 33*r + 24. Suppose -37 = -9*t + 26. Let h(a) = -4*a**2 - 33*a - 22. Let y(l) = t*v(l) + 6*h(l). Find g, given that y(g) = 0.
-1, 12
Let m(d) = -2*d**2 - 173*d + 9956. Let s be m(-126). Factor -2/11*p**s + 36/11*p + 0.
-2*p*(p - 18)/11
Let c(g) = -3*g + 11. Let u be c(2). What is y in 432*y + 112 + 36*y**2 + u*y**2 + 315*y**2 - 34*y**3 - 26*y**3 = 0?
-2/3, -2/5, 7
Let v = 508287 + -508284. Factor 5/6*n**v + 0 + 1/6*n**2 - 1/6*n**4 - 5/6*n.
-n*(n - 5)*(n - 1)*(n + 1)/6
Let c(g) be the second derivative of -g**5/60 - 79*g**4/18 - 12*g + 112. Factor c(b).
-b**2*(b + 158)/3
Let m = -11939 + 11943. Let d(w) be the first derivative of -1 - 1/6*w**m - 11/3*w**2 + 10/3*w + 14/9*w**3. Factor d(t).
-2*(t - 5)*(t - 1)**2/3
Let g(c) be the first derivative of 3*c**4/4 - 61*c**3 - 390*c**2 - 1923. Factor g(v).
3*v*(v - 65)*(v + 4)
Let k be ((-2)/4)/(47/470). Let a be 5/k - 52/(-36). Factor -2/9*g**3 + 2/9*g + a - 4/9*g**2.
-2*(g - 1)*(g + 1)*(g + 2)/9
Let y(k) be the first derivative of 7/2*k**3 - 9/2*k**2 + 3/20*k**5 + 10*k - 5/4*k**4 + 19. Let l(i) be the first derivative of y(i). Find s such that l(s) = 0.
1, 3
Let u(q) = -5*q**3 - 24*q**2 + 2*q + 1. Let p be u(-5). Factor -16*b**3 - 5*b**2 + p*b + 12 + 11*b**4 - 2*b**2 - b**2 - 15*b**4.
-4*(b - 1)*(b + 1)**2*(b + 3)
Let w be 114912/264 - 97 - (-6)/(-22). Factor -26*y + w + 1/2*y**2.
(y - 26)**2/2
Let h = -32109 + 224779/7. Find f such that -10/7*f**3 + h - 24/7*f - 36/7*f**2 = 0.
-2, 2/5
Let q(j) be the third derivative of -j**6/900 - 289*j**5/150 - 83521*j**4/60 - 24137569*j**3/45 - 2704*j**2. Suppose q(f) = 0. What is f?
-289
Let w be (-10)/(-6)*45/15. Suppose -2*m - 4 = -4*v - 0, -3*v + w*m - 11 = 0. Solve 3*u**v + 3*u**3 - 3*u**5 + 1689*u - 1692*u = 0 for u.
-1, 0, 1
