*z**3 + 6*z**3 + 0*z**3 - 3*z**3 = 0.
0, 1, 2
Suppose 20 - 24 = -4*h. Suppose 5*c + h + 9 = -4*b, -19 = -2*c + 3*b. Factor 0 + 2/5*v**c + 4/5*v.
2*v*(v + 2)/5
Determine t, given that -4/5*t**3 + 0 + 0*t**2 + 0*t = 0.
0
Let q(z) = 5*z**2 + 40*z - 85. Let d(i) = 2*i**2 - 1. Let t(o) = -5*d(o) + q(o). What is s in t(s) = 0?
4
Let r(z) be the first derivative of -z**4/108 + 7*z**3/54 - 5*z**2/9 + 43*z + 2. Let u(f) be the first derivative of r(f). Determine l, given that u(l) = 0.
2, 5
Let n(x) be the third derivative of 1/210*x**6 + 0 + 0*x + 16*x**2 + 4/21*x**3 - 2/105*x**5 - 1/42*x**4. Find l, given that n(l) = 0.
-1, 1, 2
Let k = 346 - 342. Let p(s) be the first derivative of -5 - 8/3*s**3 + 8*s - 10*s**2 + 5*s**k. Factor p(q).
4*(q - 1)*(q + 1)*(5*q - 2)
Suppose 2*r + 63 = -383. Let p = r - -563. Factor -15*q**3 + 6*q**2 - 340 + p.
-3*q**2*(5*q - 2)
Solve 27*n + 40 + 49*n - 10*n**2 - 68*n - 2*n**3 = 0.
-5, -2, 2
Let c = -41721 - -123991/3. Let x = 402 + c. Factor x*g**2 + 4*g + 10/3*g**3 + 0.
2*g*(g + 3)*(5*g + 2)/3
Factor -4*a - 9*a + 60*a**3 - 2*a + 69*a**2 + 9*a**4 - 15*a.
3*a*(a + 2)*(a + 5)*(3*a - 1)
Suppose -57/2*k**4 + 42*k + 6 - 261/2*k**2 + 111*k**3 = 0. Calculate k.
-2/19, 1, 2
Let h(o) be the first derivative of -6*o - 8 - 5/12*o**4 - 5/6*o**3 + 0*o**2. Let c(p) be the first derivative of h(p). Factor c(q).
-5*q*(q + 1)
Solve 27/7*j + 1/7*j**2 + 0 = 0 for j.
-27, 0
Let f = -103 + 114. What is h in f*h - h + 4*h - 2*h - 2*h**2 = 0?
0, 6
Let s(y) = 20*y**2 + 12*y - 8. Let b = 20 + -36. Let h(l) = l**2 + l. Let r(a) = b*h(a) + s(a). Solve r(w) = 0 for w.
-1, 2
Let x(w) be the first derivative of w**5/45 - w**4/12 - 5*w**3/27 + w**2/6 + 4*w/9 + 91. Factor x(d).
(d - 4)*(d - 1)*(d + 1)**2/9
Let -2/3*v - 2/15*v**3 - 4/5*v**2 + 8/5 = 0. Calculate v.
-4, -3, 1
Let u(w) be the third derivative of -w**7/5040 + w**6/1080 + w**5/240 + 7*w**3/3 - 8*w**2. Let x(i) be the first derivative of u(i). Factor x(j).
-j*(j - 3)*(j + 1)/6
Let a(t) be the second derivative of 1/210*t**7 - 1/5*t**2 + 1/10*t**3 + 1/30*t**4 - 1/25*t**5 + 0*t**6 - 23*t + 0. Find k such that a(k) = 0.
-2, -1, 1
Suppose 0 = j + 3*l + 10, -2*j + 5*l - 3*l = -12. Suppose d**j + 11*d**3 + 2*d - 4*d - 8*d**3 = 0. What is d?
-1, 0, 2/3
Let q(f) be the third derivative of 38*f**2 + 0 + 3/8*f**4 + 0*f**3 + 0*f - 1/40*f**5. Solve q(t) = 0.
0, 6
Let k be ((-8)/(-5) - 2)/(1776/(-370)). Let c(n) be the first derivative of -k*n**3 + 1/4*n + 1/8*n**2 - 1/16*n**4 - 1. Find u such that c(u) = 0.
-1, 1
Factor -7*w**5 + 5*w**5 - 6*w**4 - 4*w**2 + 23*w**2 - 11*w**2.
-2*w**2*(w - 1)*(w + 2)**2
Let j = -465 + 475. Let y(w) be the first derivative of -2/3*w**4 + j + 4/3*w**3 + 2/15*w**5 - 4/3*w**2 + 2/3*w. Find q, given that y(q) = 0.
1
Factor -37*m**4 - m**5 - 3*m**3 + 9*m**2 + 19*m**4 + 13*m**4.
-m**2*(m - 1)*(m + 3)**2
Let b be (4/(-10))/((-3)/(-10)) - (-27104)/9240. Find u such that -4/5*u**2 - b - 14/5*u + 2/5*u**3 = 0.
-1, 4
Suppose 45/4 + 21/8*t + 1/8*t**2 = 0. Calculate t.
-15, -6
Let y = -108 + 108. Let s(x) be the third derivative of y + 0*x**3 + 1/20*x**5 + 0*x - 1/8*x**4 + x**2. Factor s(b).
3*b*(b - 1)
Let q = -124/3 + 42. Suppose 29 = 35*o - 41. Solve -q*l + 0 - 2/3*l**o = 0.
-1, 0
Let b(w) be the first derivative of w**9/4032 + w**8/1344 + w**7/3360 - w**6/1440 - 17*w**3 - 32. Let f(p) be the third derivative of b(p). Factor f(h).
h**2*(h + 1)**2*(3*h - 1)/4
Suppose 4*v = -3*r + 15, 0 = -20*v + 24*v + 5*r - 17. Solve 0*q**3 + 3/2 + 3/2*q**4 + 0*q - v*q**2 = 0 for q.
-1, 1
Let q(t) = 6*t**2 - 6*t - 9. Let f be q(2). Suppose 1/2*y**2 + 0*y - 2/3 + 1/6*y**f = 0. Calculate y.
-2, 1
Let t(k) be the first derivative of -k**6/900 - 2*k**5/75 - 4*k**4/15 + k**3 - 3. Let w(y) be the third derivative of t(y). Determine x, given that w(x) = 0.
-4
Let h = 9340 - 28000/3. Factor -h*c**2 + 50/3*c + 0 + 2/3*c**3.
2*c*(c - 5)**2/3
Let b = 79075/2 - 39479. Factor -105/2*z**3 - 51/2*z - 33/2*z**4 - b*z**2 - 3.
-3*(z + 1)**3*(11*z + 2)/2
Let h(q) = -11*q + 21. Let l be h(6). Let c(v) = -65*v**2 + 45*v + 440. Let y(a) = -3*a**2 + 2*a + 20. Let s(i) = l*y(i) + 2*c(i). Factor s(z).
5*(z - 2)*(z + 2)
Let n(b) = -5*b**3 + 2*b**2 - 4*b + 6. Let g be n(-3). Solve 33*f**5 - 5*f**2 - 6*f**5 + 74*f**3 + 209*f**2 + g*f**4 + 226*f**3 + 48*f = 0.
-4, -1, -2/3, 0
Let r = 1115 - 1113. Let v(m) be the third derivative of -1/12*m**3 + 0 + 1/96*m**4 - 6*m**r + 1/240*m**5 + 0*m. Solve v(b) = 0.
-2, 1
Let h(d) be the second derivative of -2*d**4/63 + 25*d**3/63 + d**2 - 24*d - 12. Factor h(v).
-2*(v - 7)*(4*v + 3)/21
Let x(f) be the second derivative of 0*f**2 + f + 0 + 0*f**3 - 1/12*f**4. Factor x(z).
-z**2
Let w(q) be the second derivative of 0 + 1/12*q**4 - 2/3*q**3 + 3*q**2 + 1/15*q**5 - 1/60*q**6 + 5*q. Let n(c) be the first derivative of w(c). Factor n(y).
-2*(y - 2)*(y - 1)*(y + 1)
Suppose 10*y - 2*c = 28, -14 + 36 = y - 5*c. Suppose -9 - 21/2*k - 3/2*k**y = 0. What is k?
-6, -1
Suppose 0 = 2*k + k + 6, 3*k = 3*p - 15. Let b(t) = 2*t**5 - 5*t**4 + 3. Let v(o) = 2*o**5 - 6*o**4 + 4. Let m(z) = p*v(z) - 4*b(z). Factor m(l).
-2*l**4*(l - 1)
Let c be (-350)/(-40) - 2/(-8). Suppose c*u - 195 = 21. Factor u*z**3 + 32*z - 8 - 44*z**2 - 9/2*z**4.
-(z - 2)**2*(3*z - 2)**2/2
Determine y, given that 3*y**3 - 6*y**3 + 6 - 178*y + 187*y = 0.
-1, 2
Let a be 2/(-3)*-3 - (-5)/(-5). Suppose -2*c + 5*t = -a, -2*c + 7 = t - 0*t. Factor 3/4*u**2 - 3*u + c.
3*(u - 2)**2/4
Factor 10*c**3 + 11*c**2 - 3*c**2 + 2*c**4 - 11*c**2 - 48*c - c**2.
2*c*(c - 2)*(c + 3)*(c + 4)
Suppose 10/9*u**2 - 676/9*u - 272/9 = 0. What is u?
-2/5, 68
Let m(z) be the first derivative of z**7/21 + z**6/15 - 3*z**5/10 - z**4/6 + 2*z**3/3 - 15*z + 5. Let p(c) be the first derivative of m(c). Factor p(b).
2*b*(b - 1)**2*(b + 1)*(b + 2)
Let t be 80 + ((-1 - 4) + 2 - -7). Let -t*p**2 + 8*p + 3*p**5 - 24*p**4 + 28*p + 93*p**3 - 24*p**3 = 0. Calculate p.
0, 1, 2, 3
What is t in 31 + 40 - 108*t + 2*t**2 + 39 - 4*t**2 = 0?
-55, 1
Let c(a) be the third derivative of -a**7/1365 + a**6/130 + 19*a**5/390 - 2*a**4/13 + a**2 + 79. Determine x, given that c(x) = 0.
-3, 0, 1, 8
Let j(t) be the second derivative of -5*t**7/28 + 43*t**6/5 - 171*t**5/10 - 53*t**4/4 + 233*t**3/4 - 99*t**2/2 - 713*t. Suppose j(s) = 0. What is s?
-1, 2/5, 1, 33
Let y(k) be the second derivative of 0*k**2 + 10*k + 7/6*k**3 + 0 - 1/16*k**4 - 1/720*k**6 - 1/60*k**5. Let u(m) be the second derivative of y(m). Factor u(z).
-(z + 1)*(z + 3)/2
Let x(i) be the second derivative of -i**6/160 + i**4/32 + i**2/2 - 7*i. Let o(b) be the first derivative of x(b). Factor o(t).
-3*t*(t - 1)*(t + 1)/4
Let q be 4*(2/(-4) + 1). Let o be (-4 - 15/(-3))*2. Solve -2 - 20*m**3 - 41*m**q - 21*m - 7*m**o + 3*m - 12*m**3 = 0 for m.
-1, -1/4
Suppose -7*i = -65 + 16. Suppose -m - 3 = -i. Factor 0*c + 0 + 2/11*c**m - 4/11*c**3 + 2/11*c**2.
2*c**2*(c - 1)**2/11
Let a be 2*(0 + (-4)/(-10))*745/894. Determine i so that i - 2/3*i**2 + 0*i**4 + a + 1/3*i**5 - 4/3*i**3 = 0.
-1, 1, 2
Let s(w) be the second derivative of w**6/3 - 7*w**5/5 + 7*w**4/6 + 2*w**3/3 + 104*w. Factor s(d).
2*d*(d - 2)*(d - 1)*(5*d + 1)
Let d = 31 - -65. Let b be d/56 - 2/(-7). Factor 1 + h**2 - 4*h + 8 - b*h.
(h - 3)**2
Let u(s) = -3*s**2 + 3. Let j(p) = 2*p**2 - p - 5. Let d(h) = 3*j(h) + 5*u(h). Find w such that d(w) = 0.
-1/3, 0
Solve 13/7*g + 5/7*g**2 + 8/7 = 0 for g.
-8/5, -1
Let t(s) be the second derivative of -s**6/160 + 3*s**5/80 - s**4/16 - 9*s**2 + 24*s. Let j(k) be the first derivative of t(k). Find d such that j(d) = 0.
0, 1, 2
Let d = -29075/7 + 4154. Let 0 + 15/7*l - d*l**2 = 0. Calculate l.
0, 5
Let a(h) be the third derivative of -5*h**2 + 0*h**3 + 0*h - 1/80*h**6 - 3/40*h**5 - 1/8*h**4 + 0. Factor a(m).
-3*m*(m + 1)*(m + 2)/2
Let s(t) be the third derivative of 0 + 4/105*t**7 + 13*t**2 + 2/15*t**5 + 1/12*t**4 + 1/10*t**6 + 0*t**3 + 0*t + 1/168*t**8. Factor s(z).
2*z*(z + 1)**4
Let 172*d**2 - 142*d + 60 - 110*d**3 - 127*d**2 + 230*d**2 - 118*d + 15*d**4 = 0. Calculate d.
1/3, 2, 3
Let s = -258 + 316. Let q = -461/8 + s. Factor 6*g + 21/8*g**4 + q*g**5 + 75/8*g**2 + 57/8*g**3 + 3/2.
3*(g + 1)**3*(g + 2)**2/8
Let c = 836 + -836. Let x(g) be the third derivative of 0 - 1/140*g**5 + 0*g - 1/56*g**4 + c*g**3 - 7*g**2. Factor x(v).
-3*v*(v + 1)/7