= 0.
-4, -1, 1, 2
Let c be (-36)/(-27)*12/8. Suppose -3*k + 5 = c*k, -2*k + 14 = 4*x. Determine f, given that -10/9*f**x + 2/3*f - 8/9*f**4 + 0 + 4/9*f**2 = 0.
-1, 0, 3/4
Factor 349/3*z + 347/3*z**2 + 2/3.
(z + 1)*(347*z + 2)/3
Let l(w) be the third derivative of w**6/30 - 29*w**5/15 + 37*w**4/3 + 208*w**3/3 + 72*w**2 + 35*w + 2. Determine x so that l(x) = 0.
-1, 4, 26
Let v be 30*(22/(-63))/(-11) - (-32)/(-112). Find a such that v*a**5 + 42*a**3 + 0 - 98/3*a**2 + 0*a - 10*a**4 = 0.
0, 1, 7
Let g(x) be the first derivative of -x**4/32 - 11*x**3/12 + 175*x**2/16 + 49*x/2 - 11867. Solve g(f) = 0 for f.
-28, -1, 7
Let v(n) be the first derivative of -n**4/14 - 92*n**3/21 + 1591*n**2/7 + 147920*n/7 - 14007. Factor v(r).
-2*(r - 40)*(r + 43)**2/7
Determine n so that -128/3 + 88/9*n**2 + 52/9*n**3 - 208/9*n + 2/9*n**4 = 0.
-24, -2, 2
Let h be 16/10 - 8007/9420. Let y(n) = n**3 + 5*n**2 - 6*n - 3. Let d be y(-5). Determine x so that h*x**2 - 9*x + d = 0.
6
Let w = -5677 + 5697. Let v(u) be the first derivative of -5/3*u**3 - w*u - 4 + 25/2*u**2. Determine d so that v(d) = 0.
1, 4
Let 72*t**5 - 48*t**2 + 75*t**5 + 0*t**4 - 27*t - 16*t**4 + 70*t**5 + 94*t**3 - 220*t**5 = 0. What is t?
-9, -1/3, 0, 1, 3
Let q(s) be the second derivative of -s**7/70 + s**6/10 - s**5/4 + s**4/4 - 3*s**2 - 20*s. Let r(b) be the first derivative of q(b). Let r(x) = 0. What is x?
0, 1, 2
Suppose 5*a + 7 = -4*b, -3 = -3*b - 10*a + 9*a. Factor 16339*z**4 + 87*z**3 - 31*z**3 - 28*z**b - 16*z - 16351*z**4.
-4*z*(z - 4)*(z - 1)*(3*z + 1)
Let y(t) be the third derivative of -t**5/510 + 125*t**4/102 - 15625*t**3/51 + 1646*t**2. Solve y(h) = 0 for h.
125
Let l(i) = i**2 - 3*i - 5. Let r be l(5). Suppose 64*w + 69*w + 26*w = -53*w + 56*w. Factor 2/7*j**4 + 0 + w*j - 2/7*j**2 + 2/7*j**3 - 2/7*j**r.
-2*j**2*(j - 1)**2*(j + 1)/7
Let d(t) = -t**3 + 22*t + 15. Let v be d(-6). Determine w, given that 16*w - 224*w**2 - 230*w + 672*w**2 - 38*w - 56*w**4 - v*w**3 - 81*w**3 + 40 = 0.
-5, 2/7, 1/2, 1
Let n(c) be the first derivative of 11*c**4 + 3512*c**3/3 + 34880*c**2 - 12800*c + 2615. Suppose n(l) = 0. What is l?
-40, 2/11
Let r(n) be the first derivative of -3*n**5/5 - 11*n**4/6 - 4*n**3/3 + n**2/2 - 12*n + 62. Let s(i) be the second derivative of r(i). Factor s(y).
-4*(y + 1)*(9*y + 2)
Let r(j) be the third derivative of -j**8/84 - 2*j**7/7 + 3*j**6/2 + 45*j**5 - 540*j**4 + 2592*j**3 - 3849*j**2. Factor r(b).
-4*(b - 3)**3*(b + 12)**2
Factor 4241 - 41582 - 76883*u - 9*u**3 - 28959*u - 1857*u**2 + 9743*u + 5514.
-3*(u + 103)**2*(3*u + 1)
Let n be (-7520)/(-220) + ((-4)/22)/1. Solve 10*y - 10 + y - 5*y**3 + n*y - 45*y**2 + 15*y**4 = 0.
-2, 1/3, 1
Let a(j) be the second derivative of -12*j + 1/54*j**4 + 2/9*j**2 + 1/9*j**3 - 1. Factor a(p).
2*(p + 1)*(p + 2)/9
Let t = -107199 + 1393611/13. Suppose 0*u - 22/13*u**4 - 8/13*u**2 + 0 - 6/13*u**5 - t*u**3 = 0. Calculate u.
-2, -1, -2/3, 0
Let y = -906503 - -906506. Find d, given that 0*d**2 + 0*d + 0 - 1/5*d**y + 1/5*d**4 = 0.
0, 1
Suppose -22*o + 2 = -7 + 9. Let n(k) be the first derivative of -15 + 4/9*k**3 + o*k + 10/3*k**2. Find l such that n(l) = 0.
-5, 0
Let z = -12/3469 + 13960/24283. Factor -z + 15/7*x + 4/7*x**2.
(x + 4)*(4*x - 1)/7
Let m(h) = -14*h**2 + 89*h - 393. Let k(t) = -5*t**2 + 30*t - 132. Let j(a) = -11*k(a) + 4*m(a). Let j(i) = 0. Calculate i.
6, 20
Let v = -12892 + 12895. Let -2/5*x**v - 686/5 - 294/5*x - 42/5*x**2 = 0. What is x?
-7
Let t(c) be the third derivative of -c**5/300 - 11*c**4/60 + 235*c**3/6 - 7823*c**2. Factor t(f).
-(f - 25)*(f + 47)/5
Let n(t) be the first derivative of -t**6/150 + t**5/25 - t**4/12 + t**3/15 + 79*t + 53. Let o(r) be the first derivative of n(r). Factor o(m).
-m*(m - 2)*(m - 1)**2/5
Let l(y) be the second derivative of y**4/12 + 7*y**3/2 - 36*y**2 - 1159*y. Determine n so that l(n) = 0.
-24, 3
Let b be (33/(-55) - -1)/(2/10). Suppose b*j - 3 = n, -4*n - 9*j + 24 = -5*j. Factor 0 + 3/4*w**4 + 9/4*w - 9/4*w**n - 3/4*w**2.
3*w*(w - 3)*(w - 1)*(w + 1)/4
Factor -10904*m - 94*m**4 + 314*m**4 + 57132 + 73004*m + 3880*m**3 + 4*m**5 + 24120*m**2.
4*(m + 3)**3*(m + 23)**2
Let l(z) be the first derivative of -8*z**6/21 + 236*z**5/35 - 165*z**4/7 - 100*z**3/21 + 538*z**2/7 + 264*z/7 + 6897. Solve l(b) = 0 for b.
-1, -1/4, 2, 3, 11
Let n(d) be the first derivative of 32*d**3 - 128*d + 4/5*d**5 + 11*d**4 - 8*d**2 - 58. Factor n(q).
4*(q - 1)*(q + 2)**2*(q + 8)
Let v be (-2 + 0)*((-72006)/660 + 109). Find w such that 23/5*w + 22/5 + v*w**2 = 0.
-22, -1
Suppose -28*q - 454403*q**4 - 10*q**3 + 26*q**3 + 454401*q**4 - 10*q**2 = 0. What is q?
-1, 0, 2, 7
Let k be (-62453)/10868 - (-8 + 2). Let h = k - 1/286. Factor -1/4*w**3 + h*w + 0*w**2 + 0.
-w*(w - 1)*(w + 1)/4
Suppose 5*x - 5*q + 1905 = 0, 5*q - 146 + 1313 = -3*x. Let i = 3097/8 + x. Solve 1/8*k**2 + i + 5/4*k = 0.
-5
Let u = 308 - 922/3. Let q(g) be the second derivative of -11/27*g**3 - u*g**2 + 0 + 1/18*g**5 + 50*g + 2/9*g**4. Factor q(l).
2*(l - 1)*(l + 3)*(5*l + 2)/9
Suppose -2*o = -2*g - 18, 11*g = 14*g + 15. Factor -10/7*f**2 + 4/7*f + 6/7*f**3 + 2/7*f**o - 2/7*f**5 + 0.
-2*f*(f - 1)**3*(f + 2)/7
Suppose 5*x - 5*y = -60, 0 = -2*y - 3 - 5. Let a be 7 + ((-77)/28 - (-4)/x). Factor -27/2*l**2 - 9*l**3 + 0 - 3/2*l**a + 0*l.
-3*l**2*(l + 3)**2/2
Factor 0 - 1/6*n**4 - 65/6*n**3 + 4107/2*n - 703/6*n**2.
-n*(n - 9)*(n + 37)**2/6
Suppose 1037 + 629 - 172 = 498*z. Determine k, given that z + 3/2*k**2 + 9/2*k = 0.
-2, -1
Suppose 74*f = -10*f + 31*f. Factor 5/3*h**3 + 0*h + 10/3*h**2 - 5/3*h**4 + f.
-5*h**2*(h - 2)*(h + 1)/3
Let p be ((-8)/3*(-24)/48)/(4 + 1). Let q(f) be the second derivative of -1/75*f**6 + 1/10*f**4 + 0 + 1/25*f**5 - p*f**3 - 4/5*f**2 + 8*f. Factor q(m).
-2*(m - 2)**2*(m + 1)**2/5
Factor -1125*d - 1859*d + 2*d**2 - 1955*d + 2036162 + 903*d.
2*(d - 1009)**2
Let n(w) be the first derivative of w**7/336 + 53*w**6/144 + 13*w**5/12 - 152*w**3/3 - 2*w - 145. Let o(l) be the third derivative of n(l). Factor o(k).
5*k*(k + 1)*(k + 52)/2
Let t = 2136 + -4267/2. Let j(h) be the second derivative of -6*h - 5/12*h**4 - 5/6*h**3 + t*h**2 + 1/4*h**5 + 0. What is z in j(z) = 0?
-1, 1
Let z(f) be the third derivative of -f**6/48 - 19*f**5/40 - 11*f**4/24 - 427*f**2. Factor z(s).
-s*(s + 11)*(5*s + 2)/2
Let u(f) be the first derivative of -f**4/16 - 3*f**3/4 + 27*f - 55. Let o(k) be the first derivative of u(k). Let o(n) = 0. What is n?
-6, 0
Find w such that 6*w + 1/2*w**2 + 11/2 = 0.
-11, -1
Let f(m) be the second derivative of 23*m**4/8 + 16*m**3/3 - 5*m**2/4 + 55*m + 12. What is i in f(i) = 0?
-1, 5/69
Let w(n) be the second derivative of -n**7/630 + n**6/20 - 7*n**5/15 + 6*n**4 - 2*n + 3. Let c(p) be the third derivative of w(p). Determine g so that c(g) = 0.
2, 7
Let s be (-33)/((-132)/(-16)) - 38/(-2). Suppose -70*y + s = -67*y. Let -5/3*c + y*c**4 + 10/3*c**5 + 0 - 5*c**2 - 5/3*c**3 = 0. Calculate c.
-1, -1/2, 0, 1
Factor 2536*y**4 + 40*y + 2544*y**4 - 5055*y**4 - 95*y**3 + 59*y**2 - 20*y**3 - 9*y**2.
5*y*(y - 4)*(y - 1)*(5*y + 2)
Let m be (-50)/(-12) + 2/(-12). Factor 6*x**3 + 2*x - 161*x**4 + 59*x**m + 7*x**5 - 2*x + 79*x**4.
x**3*(x - 3)*(7*x - 2)
Let a = 596011 + -596009. Solve -11 - 32/3*i + 1/3*i**a = 0 for i.
-1, 33
Suppose -141*d + 32 - 63 + 313 = 0. Suppose -l - l + 6 = 0. Factor l*y + 1/4*y**3 + 3/2*y**2 + d.
(y + 2)**3/4
Suppose -2*k + k = 0. Suppose 2*z - 4 = -k. Let b(j) = 3*j**2 - 8*j - 7. Let v(l) = l**2 - 3*l - 2. Let y(r) = z*b(r) - 7*v(r). What is t in y(t) = 0?
0, 5
Let h(v) be the first derivative of -53 + 8/9*v**3 + 4/3*v + 5/3*v**2 + 1/6*v**4. Factor h(d).
2*(d + 1)**2*(d + 2)/3
Let t(k) be the third derivative of -k**5/60 + 5*k**4/6 - 3*k**2 - 2*k - 328. Factor t(f).
-f*(f - 20)
Let w(g) be the first derivative of -g**6/450 + 17*g**5/300 + 3*g**4/20 + 23*g**3/3 - 150. Let o(u) be the third derivative of w(u). Find z such that o(z) = 0.
-1/2, 9
Solve 36/7 + 24/7*a**2 - 2/7*a**3 - 58/7*a = 0 for a.
1, 2, 9
Suppose 0*t - 96/7*t**2 + 3/7*t**5 + 0 + 45/7*t**4 - 54/7*t**3 = 0. Calculate t.
-16, -1, 0, 2
Let k be (((-24)/(-10))/2)/(3/5). Suppose -20*c + 4*c**5 + 48*c**3 + 230*c**k - 32*c - 65*c**4 + 9*c**4 - 174*c**2 = 0. Calculate c.
-1, 0, 1, 13
Let p be (170/18)/(-5) - -6 - 8/2. Let n(h) be the second derivative of 1/30*h**5 - 4