 28/9*t**3 - 28/9*t**h - 8/9*t**4 + 0 = 0. Calculate t.
-1, -2/7, 0, 1
Let x(w) be the third derivative of 0*w**3 + 0 + 0*w + 1/12*w**4 - 25*w**2 - 1/15*w**5 + 1/60*w**6. Suppose x(v) = 0. Calculate v.
0, 1
Suppose -24 = -3*l + 12. Let b be 4/l + 0 + 21/18. Find j such that 3*j + b*j**2 + 0 = 0.
-2, 0
Let w be ((-66)/(-12))/1 + (10 - 14). What is r in -1/2*r**4 - 3/2*r**3 + 1 + w*r - 1/2*r**2 = 0?
-2, -1, 1
Find w such that -24 + 63/5*w**2 + 3/5*w**3 + 54/5*w = 0.
-20, -2, 1
Let w = 118/99 - 1450/1881. Factor -8/19*s**4 + 2/19*s + 12/19*s**3 + 2/19*s**5 - w*s**2 + 0.
2*s*(s - 1)**4/19
Solve 2/17*l**2 + 0 + 46/17*l = 0.
-23, 0
Let v(f) be the first derivative of f**3/4 - 3*f**2/2 - 20. Factor v(d).
3*d*(d - 4)/4
Suppose -38 = -9*g - 173. Let u(v) = -3*v**4 + 3*v**3. Let c(w) = 7*w**4 - 6*w**3 - w**2. Let j(t) = g*u(t) - 6*c(t). Find a such that j(a) = 0.
0, 1, 2
Let q(m) = 12*m**5 + 3*m**4 + 27*m**3 + 3*m**2 - 15*m. Let d(s) = s**5 + s**3 + s**2 - s. Suppose 0 = -19*u + 24*u - 75. Let h(j) = u*d(j) - q(j). Factor h(f).
3*f**2*(f - 2)*(f - 1)*(f + 2)
Let m(h) be the first derivative of -h**4/32 + 3*h**3/8 - 27*h**2/16 - 8*h + 8. Let b(k) be the first derivative of m(k). Factor b(j).
-3*(j - 3)**2/8
Let x(i) = i**4 - 111*i**3 + 400*i**2 - 372*i. Let q(r) = -r**4 + r**3 + 2*r. Let g(m) = 4*q(m) - x(m). Factor g(w).
-5*w*(w - 19)*(w - 2)**2
Factor 3/7*g**2 + 7803/7 - 306/7*g.
3*(g - 51)**2/7
Suppose 0 = 3*t - 29 - 4. Suppose -8 = t*a - 15*a. Determine o so that -4*o**4 + 8*o**a + 2*o**3 + 6*o**3 - 2*o**3 - 2*o**3 = 0.
-1, 0, 2
Let h(l) = l**3 - 38*l**2 + 212*l + 160. Let j be h(31). Factor -5/6*c**j - 25/6*c**3 + 10/3*c**4 + 5/3*c**2 + 0*c + 0.
-5*c**2*(c - 2)*(c - 1)**2/6
Let y = -292 - -1169/4. Determine d so that y*d**2 - 3/2 - 5/4*d = 0.
-1, 6
Let p(k) be the first derivative of -3*k**5/20 + 3*k**3/2 - 3*k**2 - 14*k + 8. Let l(c) be the first derivative of p(c). Determine t, given that l(t) = 0.
-2, 1
Let s(f) be the second derivative of -f**8/5376 - f**7/3360 + f**6/1440 + f**4/4 + 10*f. Let a(z) be the third derivative of s(z). Factor a(l).
-l*(l + 1)*(5*l - 2)/4
Let s be (-10 - 4)*(-4)/14. Determine l, given that 0*l - 1/7*l**2 - 1/7*l**s + 0 + 2/7*l**3 = 0.
0, 1
Let g = -11791 - -59447/5. Let x = -98 + g. Factor -6/5*k - 6/5*k**2 - 2/5*k**3 - x.
-2*(k + 1)**3/5
Let b(p) be the first derivative of -2*p**3/3 + p**2 + 24*p - 108. Factor b(h).
-2*(h - 4)*(h + 3)
Suppose -2*j = 2*j - 32. Factor -439 - 12*l**2 - j*l**3 + 439 + 8*l.
-4*l*(l + 2)*(2*l - 1)
Let 4/3*n**3 - 32/3*n**2 + 1080 - 132*n = 0. Calculate n.
-10, 9
Let q(y) = 5*y**2 + 2*y - 7. Let n(i) = -i**2 - i + 2. Let d(o) = -18*n(o) - 4*q(o). Let d(a) = 0. Calculate a.
1, 4
Let b(x) be the first derivative of 1/2*x - 7 - 1/8*x**2 - 1/12*x**3. Factor b(k).
-(k - 1)*(k + 2)/4
Suppose 0 = -5*h + 3*i - 2, 4*i = 16. Factor 2/7*z**h + 0 - 4/7*z.
2*z*(z - 2)/7
Suppose -8*z = -4*z + 148. Let h = z - -37. Find g, given that 0 + 2/11*g**2 + h*g = 0.
0
Let o(h) be the third derivative of 0 - 5/24*h**4 + 33*h**2 + 1/12*h**5 + 0*h + 0*h**3. Determine k so that o(k) = 0.
0, 1
Let r be (0 + -26)/(7 - 9). Let s be ((-7722)/(-80))/r - (-6)/16. Solve 3*u**2 - 18/5 - s*u = 0 for u.
-2/5, 3
Let x = 4461 - 66913/15. Factor -x + 2/15*g**2 + 0*g.
2*(g - 1)*(g + 1)/15
Let -2/3*u**2 + 10/3*u**3 - 2*u**5 + 0 - 4/3*u + 2/3*u**4 = 0. What is u?
-1, -2/3, 0, 1
Let 33/4*v**3 + 1/4*v**4 - 1296 + 81*v**2 + 108*v = 0. Calculate v.
-12, 3
Let x(p) = -6*p**5 + 10*p**4 + 8*p**3 - 8*p**2 + 14*p - 14. Let d(n) = 3*n**5 - 5*n**4 - 4*n**3 + 4*n**2 - 8*n + 8. Let w(j) = -7*d(j) - 4*x(j). Solve w(s) = 0.
-1, 0, 2/3, 2
Let s = -90 + 113. Find l, given that -125*l**2 - 25*l**4 - 5*l + 956*l**3 - 1071*l**3 + s + 7 = 0.
-3, -1, 2/5
Let j(y) be the first derivative of 36*y**5/35 + 15*y**4/7 - 8*y**3/3 - 24*y**2/7 + 32*y/7 - 191. Find q, given that j(q) = 0.
-2, -1, 2/3
Let l(k) be the third derivative of 0*k - 125/9*k**3 - 4/45*k**6 - 50/9*k**4 - k**5 - 19*k**2 + 0 - 1/315*k**7. Let l(t) = 0. Calculate t.
-5, -1
Let j(q) be the third derivative of 0*q - 1/6*q**4 - 1/105*q**7 - 1/15*q**6 - 1/6*q**5 + 18*q**2 + 0 + 0*q**3. Factor j(d).
-2*d*(d + 1)**2*(d + 2)
Suppose -115*m + 113*m = -8. Let g(r) be the first derivative of 0*r + r**2 + 1/5*r**5 + m - 1/2*r**4 - 1/3*r**3. Find v such that g(v) = 0.
-1, 0, 1, 2
Let j be (-3)/12 - (-7 - 216/(-32)). Let x(m) be the second derivative of 1/12*m**3 - 1/40*m**5 + 1/30*m**6 + 6*m + 0*m**2 - 1/12*m**4 + j. Factor x(l).
l*(l - 1)*(l + 1)*(2*l - 1)/2
Factor -23*v + 120*v**2 - 36*v**4 + 80 - 16*v**4 - 20*v**4 + 77*v**4 - 40*v**3 - 137*v.
5*(v - 2)**4
Suppose 519*b - 504*b = 0. Let b*p + 2/13*p**2 + 0 + 2/13*p**4 - 4/13*p**3 = 0. Calculate p.
0, 1
Suppose 5*k + 0*k = 205. Suppose -5*h = 4*g - k, -2*g + 4*h - 31 = -5*g. Suppose -g*c**4 - 14*c**3 + 7*c**2 - 3*c**5 + 5*c**3 - 10*c**2 = 0. What is c?
-1, 0
Factor 35*s**4 + 19*s - 10 - 25*s**2 + 28*s - 2*s - 45*s**3.
5*(s - 1)**2*(s + 1)*(7*s - 2)
Factor 1 + 34*c**4 + 24*c**2 - c - 101*c**5 - 46*c**3 + 187*c**5 - 3 - 95*c**5.
-(c - 1)**4*(9*c + 2)
Let w = -5 + -9. Let n = 14 + w. Factor -11*b**4 + n*b**2 - 6*b**4 + b**2 - 21*b**3 - 2*b - 5*b**5 - 12*b**2.
-b*(b + 1)**3*(5*b + 2)
Let f be ((-6)/((-108)/(-42)))/((-2)/6). Let i(r) be the first derivative of 3*r + 2*r**3 + f - 3/8*r**4 - 15/4*r**2. Factor i(u).
-3*(u - 2)*(u - 1)**2/2
Let v(l) be the second derivative of -l**6/432 + l**5/18 - 5*l**4/9 - 23*l**3/6 - 35*l. Let g(x) be the second derivative of v(x). Determine h so that g(h) = 0.
4
Suppose -m = m. Suppose m = -f - 4 + 9. Find s, given that s**2 + f*s**2 + 8*s - 2*s**2 + 0*s**2 + 4 = 0.
-1
Let g be (48/(-88))/(2/(-22)). Factor -12*w - 3*w**5 + 9*w**3 - 113*w**2 + g*w**5 + 125*w**2 - 12*w**4.
3*w*(w - 2)**2*(w - 1)*(w + 1)
Suppose -3*r - 6 - 9 = 0, -4*t - 20 = 4*r. Let p(b) = -b + 1. Let a be p(t). Factor -5*u**2 + a - 13*u - 3*u**3 + 7*u + 5*u.
-(u + 1)**2*(3*u - 1)
Suppose 0 = c + 559 - 561. Solve -4/5*k + 0 - 2/5*k**c = 0.
-2, 0
Let j = -271 - -274. Let o(g) be the third derivative of 1/6*g**j + 1/420*g**7 + 0*g + 2*g**2 + 0 - 1/48*g**4 - 1/40*g**5 + 1/240*g**6. Factor o(m).
(m - 1)**2*(m + 1)*(m + 2)/2
Suppose 3*r + 7 = 22. Let q(p) be the first derivative of r - p**3 + 0*p + 3/2*p**2. Determine v so that q(v) = 0.
0, 1
Factor 384*g + 3/2*g**3 + 0 - 48*g**2.
3*g*(g - 16)**2/2
Suppose 5*k - 2*a - 11 = -a, a + 5 = 2*k. Suppose 0 = k*v + 4*h + 12, 0*h + 2*h = 2*v - 18. Determine m so that 4*m**v + 12 - 12 - 4*m**3 = 0.
0, 1
Suppose -x - 3*x = -2*d + 8, 0 = -3*d - x + 12. Suppose -t - t + 193 = 5*z, -3*z + 2*t + 119 = 0. Factor 1/2 - 92*f**3 - 29/4*f + z*f**2 + 80*f**d.
(4*f - 1)**3*(5*f - 2)/4
Let r = 3798/61951 + -1/3022. Let n = 51/164 - r. Factor 1/2*c**2 + 1/8*c**3 + n + 5/8*c.
(c + 1)**2*(c + 2)/8
Let l = 9/82 - 677/1312. Let f = l - -4097/160. What is h in 16/5*h**3 - 32/5*h**4 - 64/5*h + 8/5 + f*h**2 = 0?
-2, 1/4, 2
Let -3*d**4 + 108*d**2 + 3979*d**3 - 120*d - 7963*d**3 + 3966*d**3 = 0. What is d?
-10, 0, 2
Let z(c) = c**2 + 5*c + 5. Let w be z(-8). Let n = 295 - w. What is a in 0*a + 0*a - 212*a**4 - 164*a**2 + n*a**3 + 16 + 48*a**5 + 46*a**3 = 0?
-1/4, 2/3, 1, 2
Let l be 0 - (5/(-5))/2. Let x(r) be the first derivative of 0*r**2 + 3/2*r - l*r**3 + 4. Find h such that x(h) = 0.
-1, 1
Let i(s) be the second derivative of -s**5/100 - 2*s**4/15 + 19*s**3/30 - s**2 + 4*s + 2. Factor i(u).
-(u - 1)**2*(u + 10)/5
Let m = 1417 - 1413. Let y(a) be the second derivative of 0*a**3 + 0 + 1/16*a**2 - 1/96*a**m - 11*a. Factor y(n).
-(n - 1)*(n + 1)/8
Let m(s) be the third derivative of s**7/420 - 3*s**6/80 + s**5/40 + 37*s**4/48 + 2*s**3 + 114*s**2. Factor m(b).
(b - 8)*(b - 3)*(b + 1)**2/2
Let r = -1/1367 - -468885/5468. Let 0 + 105/2*b**3 + 2*b - 19*b**2 - r*b**5 - 49/4*b**4 = 0. What is b?
-1, 0, 2/7
Let c be (-178)/56 - -4 - (-6)/(-24). Factor -2/7*u**4 + 2/7 + 0*u**2 - 4/7*u**3 + c*u.
-2*(u - 1)*(u + 1)**3/7
Let w(b) = b**2 + b - 1. Let p be 3/(-12)*-4*1. Let q be w(p). Factor 2 - 2*i**2 - 2*i + 1 - q + 0*i**3 + 2*i**3.
2*(i - 1)**2*(i + 1)
Let k(v) be the third derivative of -v**8/420 + v**7/70 - v**6/30 + v**5/30 + 7*v**3/3 - 14*v**2. Let f(n) be the first derivative of k(n). Factor f(h).
-4*h*(h - 1)**3
Let z(g) = 29*g**4 - g**3 - 24*g**2