4/7*c**5 + 4/7*c - 8/7*c**4 = 0?
-1, 0, 1
Let s(k) = -4*k**3 + 320*k**2 - 8104*k + 49280. Let q(z) = -12*z**3 + 963*z**2 - 24321*z + 147841. Let y(v) = -4*q(v) + 11*s(v). Determine t so that y(t) = 0.
9, 37
Let v(p) be the second derivative of -p**6/225 + 41*p**5/150 - 64*p**4/15 + 116*p**3/5 - p - 374. Find x, given that v(x) = 0.
0, 6, 29
Factor 1558 - 553*t + 52*t + 494 - 3*t**2.
-3*(t - 4)*(t + 171)
Let t = 12431 - 12428. Let z(b) be the first derivative of -4/5*b**5 + 8*b**2 + 37 + b**t - 11/4*b**4 - 4*b. Factor z(j).
-(j - 1)*(j + 2)**2*(4*j - 1)
Let h(w) = 3709*w + 40803. Let g be h(-11). Factor 629856 + 19440*x**2 + 30*x**g + 1/3*x**5 + 174960*x + 1080*x**3.
(x + 18)**5/3
Solve -2/7*h**3 + 542/7*h + 40/7*h**2 - 580/7 = 0.
-10, 1, 29
Let p(o) = -o**3 - 8*o**2 + 8*o - 8. Let h be p(-9). Let b be 16/8 + 1/h. Factor -48 + 113*d - 58*d - b*d**2 - 31*d.
-3*(d - 4)**2
Let z(t) = -34*t - 101. Let o be z(-3). Let w be ((1 - 1)/o)/(9 - 7). Let -2/5*y**2 + w + 2/5*y = 0. What is y?
0, 1
Let m = 38 - 3. Let c = m - 23. Determine d, given that 15 - 3 + 8*d**4 + 2*d - c + 2*d**5 + 8*d**2 + 12*d**3 = 0.
-1, 0
Factor 777 + 9*o**2 + 16*o**2 - 37*o**2 + 11*o**2 + 776*o.
-(o - 777)*(o + 1)
Suppose w + 9*w - 40 = 0. Let -3*h**3 - w*h**3 + 34 + 4*h + 11*h**3 - 10 - 16*h**2 = 0. What is h?
-1, 2, 3
Let a = 957 - 859. Suppose -43*f - 12 = -a. Let 32/3*z**f + 8/3*z - 6*z**3 + 0 = 0. Calculate z.
-2/9, 0, 2
Let m(s) be the second derivative of -1 + 134*s + 0*s**2 - 1/15*s**6 + 4/3*s**3 + 1/2*s**5 - 4/3*s**4. Factor m(q).
-2*q*(q - 2)**2*(q - 1)
Let p(i) = -i**5 - i**3 + 2*i + 2. Let n(s) = 20*s**5 - 12*s**4 + 24*s**3 + 52*s**2 - 84*s - 36. Let v(d) = 2*n(d) + 36*p(d). Let v(g) = 0. Calculate g.
-2, 0, 1, 3, 4
Let m(y) be the second derivative of -97*y - 4/11*y**4 - 13/110*y**5 + 4/33*y**3 + 0*y**2 + 0. Factor m(z).
-2*z*(z + 2)*(13*z - 2)/11
Suppose 70*n - 40 = 65*n. Suppose -8*d + n = -12*d, w - 3*d = 8. Factor -2/5 + 1/5*b + 1/5*b**w.
(b - 1)*(b + 2)/5
Let m be (44/2 - -2)*7989/170432. Let 0*u**2 - 3/8*u**3 - 3/4 + m*u = 0. What is u?
-2, 1
Let b be ((-3)/(-4))/((-2)/(-48)). Let k be (-9)/((-81)/b)*(-1)/(-8). Find h, given that 0*h**2 - k*h**3 - 1/2 + 3/4*h = 0.
-2, 1
Let m(r) be the second derivative of 0 + 1/6*r**5 - 19*r + 1/72*r**6 - 9/2*r**3 + 0*r**2 - 25/24*r**4. Let i(g) be the second derivative of m(g). Factor i(f).
5*(f - 1)*(f + 5)
Find m, given that 1075/2*m**2 - 144722 - 144184*m - 1/2*m**3 = 0.
-1, 538
Factor -1/2*p**3 - 36 + 34*p - 7*p**2.
-(p - 2)**2*(p + 18)/2
Factor 2/7*p**3 - 382/7*p + 20/7*p**2 + 360/7.
2*(p - 9)*(p - 1)*(p + 20)/7
Factor 8*v - 60 - 1/5*v**2.
-(v - 30)*(v - 10)/5
Let a(m) = 4*m**2 - 10*m - 10. Let d(w) be the first derivative of 29*w - 4*w**3 + 3 + 31/2*w**2. Let b(p) = -7*a(p) - 2*d(p). Factor b(k).
-4*(k - 3)*(k + 1)
Let s = 20694 + -20688. Let w(k) be the second derivative of 23/15*k**4 + 1/75*k**s - 31*k + 5*k**2 + 4*k**3 + 0 + 6/25*k**5. Factor w(v).
2*(v + 1)**2*(v + 5)**2/5
Let d(y) be the first derivative of y**4/5 + 632*y**3/15 + 62*y**2 - 1256*y/5 + 554. Factor d(w).
4*(w - 1)*(w + 2)*(w + 157)/5
Let c(b) = 70*b**3 + 31680*b**2 - 63995*b + 31820. Let t(r) = 5*r**3 + 2263*r**2 - 4571*r + 2273. Let w(h) = -6*c(h) + 85*t(h). Let w(o) = 0. Calculate o.
-457, 1
Let z(u) = -7*u**2 - 20*u - 61. Let w(h) = 33*h + 31*h + 43 - 36 + 177 + 26*h**2 - 6*h**2. Let t(f) = 3*w(f) + 8*z(f). Factor t(l).
4*(l + 4)**2
Suppose -5000*g + 4991*g + 18 = 0. Factor g*s**3 - 3/2*s**2 + 0*s - 1/2*s**4 + 0.
-s**2*(s - 3)*(s - 1)/2
Let b = 26 + -22. Suppose 4*q - 12 = b*h, -2*h + 5 + 1 = 0. What is w in 24*w**2 + 2 + 3 + q*w - 23*w**2 = 0?
-5, -1
Let n be (90/(-6) + 0)*-2. Let u(f) = f**2 - 29*f - 25. Let k be u(n). Factor -9*z**4 - 19*z**2 - 6*z - 2*z**5 + z**k + 353*z**3 - 374*z**3.
-z*(z + 1)**3*(z + 6)
Let u(y) = y**2 - 12*y - 80. Suppose 2*t = 2*j + 4 + 28, 4*j = 3*t - 47. Let o be u(t). Factor 4/5*k + 0 - 8/5*k**4 + 8/5*k**2 + 0*k**3 - 4/5*k**o.
-4*k*(k - 1)*(k + 1)**3/5
Let i(s) = 10*s**4 - 1305*s**3 - 8090*s**2 - 12610*s - 4130. Let l(y) = y**4 - 145*y**3 - 899*y**2 - 1401*y - 462. Let x(h) = -6*i(h) + 55*l(h). Factor x(u).
-5*(u + 1)**2*(u + 6)*(u + 21)
Suppose 5*j = 2*f + 81, -f = j - 6*j + 83. Suppose k - x = 9, 3*k + j = 5*x + 54. Determine v so that v**3 - k*v + 4*v**2 + 3*v - 1199 + 1195 = 0.
-4, -1, 1
Suppose 48 = 7*c - 4*g, 160*g = -4*c + 162*g + 26. Factor -1/4*t**c + 0 - 4*t + 7/4*t**3 - 2*t**2.
-t*(t - 4)**2*(t + 1)/4
Let f = -718313/2 - -2155051/6. Determine c, given that -2/3*c**5 - 46/3*c**3 + 0 - 8*c - 16/3*c**4 - f*c**2 = 0.
-3, -2, -1, 0
Let o(f) be the second derivative of f**7/42 - f**6/15 - 23*f**5/20 + 7*f**4/3 + 56*f**3/3 + 32*f**2 + 506*f. Factor o(x).
(x - 4)**2*(x + 1)**2*(x + 4)
Let b = -187 + 187. Suppose -107*j + 68*j + 78 = b. Factor j*w**3 + 0*w + 1/2*w**5 + 0*w**2 + 0 + 5/2*w**4.
w**3*(w + 1)*(w + 4)/2
Let m be 0 + -4 - (1 + 18415/(-3255)). Let g = m + 2/217. Factor 2*x + 2/3*x**3 - 2*x**2 - g.
2*(x - 1)**3/3
Let u(n) = 0*n**2 - 15*n + 2*n**2 - 4*n + 17*n. Let x(f) = -5*f**2 + 4*f. Let v(p) = -7*u(p) - 3*x(p). Factor v(d).
d*(d + 2)
Suppose -3*c + 3*t + t + 8 = 0, 2*c - 4*t = 0. Let i be 18/c*-1*440/(-285). Find h such that -2*h**2 - i*h + 48/19*h**4 + 8/19*h**5 + 66/19*h**3 - 18/19 = 0.
-3, -1/2, 1
Factor -1420*p - 756150 - 2/3*p**2.
-2*(p + 1065)**2/3
Let -19*p**3 + 23*p**3 - 121*p**2 - 36*p + 2*p**4 - 18 + 105*p**2 = 0. What is p?
-3, -1, 3
Suppose -1001*o = 773*o - 1347*o. Determine x so that 24*x**3 + 0*x + 0 + o*x**2 + 2/3*x**5 - 40/3*x**4 = 0.
0, 2, 18
Let r(s) be the second derivative of -s**6/150 + 3*s**5/100 + 23*s**4/60 + 11*s**3/10 + 7*s**2/5 + 5*s - 57. What is d in r(d) = 0?
-2, -1, 7
Let g(b) be the first derivative of -b**4/8 - 401*b**3/6 - 597*b**2/2 - 4904. Factor g(d).
-d*(d + 3)*(d + 398)/2
Let i(b) = -56*b**4 - 12*b**3 + 52*b**2 + 60*b. Let j(z) = 13*z**4 + 3*z**3 - 13*z**2 - 15*z. Let m(y) = -6*i(y) - 26*j(y). Determine w, given that m(w) = 0.
-5, -1, 0, 3
Let y be -30*(-4)/((((-1020)/6)/(-10))/(10/50)). Let -y*n**2 - 8/17*n - 12/17*n**4 - 2/17*n**5 + 0 - 26/17*n**3 = 0. Calculate n.
-2, -1, 0
Let z(d) be the first derivative of -1/3*d - 1/9*d**3 - 40 - 1/3*d**2. Factor z(l).
-(l + 1)**2/3
Let l = 502755 + -2513771/5. Factor 28*u - 64/5*u**2 - 72/5 - l*u**3.
-4*(u - 1)**2*(u + 18)/5
Let z(s) be the third derivative of -93*s**2 + 0*s**3 + 0 - 1/2*s**4 - 1/21*s**7 + 0*s + 1/12*s**6 + 1/6*s**5 + 1/168*s**8. Solve z(t) = 0.
-1, 0, 1, 2, 3
Let q(r) be the second derivative of r**7/20160 + r**6/5760 + r**4/12 + 17*r**2 - r - 3. Let l(i) be the third derivative of q(i). Solve l(x) = 0 for x.
-1, 0
Let h(m) = -4*m**3 + 217*m**2 - 1958*m - 70. Let c(p) = 4*p**3 - 216*p**2 + 1960*p + 56. Let n(k) = -5*c(k) - 4*h(k). Let n(t) = 0. What is t?
0, 12, 41
Suppose 22*b - 16*b + 18 = 0. Let z(v) = -3*v**3 + 6*v**2 + 3. Let d(a) = a**4 + 5*a**3 - 11*a**2 - 5. Let y(p) = b*d(p) - 5*z(p). Determine h so that y(h) = 0.
-1, 0, 1
Suppose 4*k**5 - 360 + 24*k**4 - 304*k + 392*k**3 - 124 - 108*k**4 - 92*k + 568*k**2 = 0. What is k?
-1, 1, 11
Let p(t) be the first derivative of 67 + 10*t + 5/3*t**3 - 15/2*t**2. Let p(k) = 0. Calculate k.
1, 2
Factor 36*s - 1/3*s**2 + 448/3.
-(s - 112)*(s + 4)/3
Suppose 3*n = -6*n - 756. Let w be 33/7 + (-24)/n. Factor 73 - 13*v**2 - w*v - 63 + 3*v**2 + 5*v**3.
5*(v - 2)*(v - 1)*(v + 1)
Let q(x) be the first derivative of 9*x + 44 + 33/4*x**2 + 3*x**3 + 3/8*x**4. Determine j so that q(j) = 0.
-3, -2, -1
Let c be ((-32)/24)/((-364)/2847) - 5. Factor -c + 40/7*h - 2/7*h**2.
-2*(h - 19)*(h - 1)/7
Let t = 237918 + -237916. Determine c so that 4/5*c**t + 2704/5 - 208/5*c = 0.
26
Let k(l) be the first derivative of l**6/200 - l**5/50 - l**4/40 + l**3/5 - 17*l**2/2 - l + 147. Let q(a) be the second derivative of k(a). Factor q(t).
3*(t - 2)*(t - 1)*(t + 1)/5
Let w(b) be the second derivative of -b**6/135 + 577*b**5/30 - 332929*b**4/18 + 192100033*b**3/27 + 1024*b. Solve w(k) = 0 for k.
0, 577
Let i(x) = 0 - 6*x**2 - 9*x + 21*x + 21 + 3*x. Let q(u) = u**2 - 3*u - 4. Let r(z) = 4*i(z) + 21*q(z). Factor r(p).
-3*p*(p + 1)
Suppose -132/7*r**2 + 0 - 130/7*r - 2/7*r**3 = 0. Calculate r.
-65, -1, 0
Let h(p) be the third derivative of -p**6/480 + 101*p**5/80 - 475*p**4/2 - 2888*p**3/3 -