t**3 + 8*t**4 - 4*t**2.
4*t**2*(t - 1)*(t + 1)**2
Let d be 2 - 8/(120/(-2799)). Let h = 189 - d. Factor -2/5*z**3 - 6/5*z + h + 6/5*z**2.
-2*(z - 1)**3/5
Let k(a) be the first derivative of -32 + 2/3*a - 1/9*a**3 + 1/6*a**2. Factor k(u).
-(u - 2)*(u + 1)/3
Let l(w) be the first derivative of -3/4*w**4 + 0*w + 4 + 2*w**3 + 0*w**2. Suppose l(u) = 0. What is u?
0, 2
Let r be -4 - 0/((-1)/1). Let g be ((-2)/(-4))/(r/(-32)). Suppose -o**3 + 20*o + 21*o**g - 12*o**2 - 17*o**4 - 8 - 3*o**3 = 0. What is o?
-2, 1
Let q(z) = -z**2 + z - 2. Let h(n) = 2*n**3 + 90*n**2 + 326*n + 324. Let o(l) = h(l) + 2*q(l). What is p in o(p) = 0?
-40, -2
Let w(m) = -m**2 + m - 1. Let s(i) = -3*i**2 - 3. Suppose -k + 9 = 2*j - 7, -4*j - 4*k = -40. Let c(q) = j*w(q) - 3*s(q). Determine t, given that c(t) = 0.
-1
Suppose 3/2*d**2 + 0*d + 1/2*d**4 - 2*d**3 + 0 = 0. Calculate d.
0, 1, 3
Let s = 930 - 1814. Let r = -3517/4 - s. What is l in -28*l**5 - r*l + 11*l**2 + 1/2 - 34*l**4 + 41/4*l**3 = 0?
-1, 1/4, 2/7
Let q(t) be the second derivative of t**7/56 - 17*t**6/40 - 171*t**5/80 - 59*t**4/16 - 5*t**3/2 - 658*t. Determine v so that q(v) = 0.
-1, 0, 20
Let k(o) be the third derivative of o**10/75600 - o**8/2520 + o**5/12 - 35*o**2. Let t(y) be the third derivative of k(y). Factor t(f).
2*f**2*(f - 2)*(f + 2)
Let v(f) = f**4 - f**2 + 1. Let o(w) = -4 + 9*w**5 + 2*w + 26*w**4 + 2*w + 22*w**2 + 36*w**3 - w. Let y = -157 - -153. Let j(p) = y*v(p) - o(p). Factor j(k).
-3*k*(k + 1)**3*(3*k + 1)
Suppose -j - 2*o = -13, 6*j - 3*o + 12 = 5*j. Factor -12*s**2 - 9*s**3 + 30*s**j + 3*s**5 - 15*s**4 + 3*s**2.
3*s**2*(s - 3)*(s - 1)**2
Let s(k) = -6*k**3 - 5*k**2 - 16*k. Let w(l) = l**3 + 2*l. Let g(j) = -s(j) - 5*w(j). Solve g(b) = 0 for b.
-3, -2, 0
Suppose -s + 4*w + 66 = -3*s, -w + 27 = -s. Let d = s + 29. Find v, given that d - 4/5*v**2 + 2/5*v + 2/5*v**3 = 0.
0, 1
Suppose 2*s - 23 = -2*b - 3*b, -2*s + 3*b - 17 = 0. Let v be (-1 - (-10)/2) + s. Factor -3*j**4 - 11*j + 8*j**v - 6*j**2 + 1 + 11*j.
-(j - 1)**3*(3*j + 1)
Let b be (-317 - -317) + 12/135*6. Determine o so that 8/3*o**2 - 4/15*o**4 + 0 + b*o + 14/5*o**3 - 14/15*o**5 = 0.
-1, -2/7, 0, 2
Suppose -36 = 3*v - 5*v. Let q = v + -18. Solve 2*n**2 + q*n**3 + 4/3*n + 0 - 2/3*n**4 = 0.
-1, 0, 2
Let g(t) be the third derivative of 6*t**2 + 1/102*t**4 + 0 + 0*t - 1/340*t**5 - 1/2*t**3 + 1/3060*t**6. Let z(f) be the first derivative of g(f). Factor z(a).
2*(a - 2)*(a - 1)/17
Suppose -n = -5*v + 1, 89 = 2*n + 5*v + 76. Determine a so that 12*a**2 + 0 + 10*a + 9/2*a**3 + 1/2*a**n = 0.
-5, -2, 0
Suppose 179*k**3 - 6*k - 3 - 54*k**3 - 59*k**3 - 9*k**4 - 60*k**3 + 4*k**2 + 8*k**2 = 0. Calculate k.
-1, -1/3, 1
Let k be -4 + (2*5 - (7 + -5)). Suppose k*w = -2*z + 3*z + 14, -5*z + 2 = -2*w. Factor -2/7 + 6/7*x - 2/7*x**5 - 4/7*x**z + 6/7*x**4 - 4/7*x**3.
-2*(x - 1)**4*(x + 1)/7
Let h be 2697/540 + (6 - 6) + -5. Let i = h + 29/36. Solve 2*z - i - 8/5*z**2 + 2/5*z**3 = 0 for z.
1, 2
Let t(i) = -2*i + 9. Let u be t(3). Factor 8*m - 4*m**u + 0*m**3 + 0*m**2 - 4*m**2.
-4*m*(m - 1)*(m + 2)
Determine u so that 108/19 - 2/19*u**3 + 54/19*u + 0*u**2 = 0.
-3, 6
Let d(p) = -2*p**3 - 7*p**2 - 5*p - 4. Let y be d(-4). Find g, given that 152*g + 160*g**2 + 147*g**2 - y - 343*g**2 = 0.
2/9, 4
Suppose 46*s**2 + 6*s**4 + 32*s**3 + 2*s**2 + 0*s**2 - 32 = 0. What is s?
-2, 2/3
Let z(f) be the first derivative of -f**3/15 - 9*f**2/10 + 14*f + 717. Find y such that z(y) = 0.
-14, 5
Let h be ((9945/104)/(-51))/((-1)/4). Factor 3/4*q**2 + h*q + 75/4.
3*(q + 5)**2/4
Factor -5/4 + 2/3*m - 1/12*m**2.
-(m - 5)*(m - 3)/12
Let g = -32 - -41. Suppose 4*i = 2*p - 5*p + 61, i + 59 = 2*p. Determine x, given that 3*x + g*x - p + 8*x - 3*x**2 - 2*x = 0.
3
Let h(g) be the third derivative of g**8/1512 - 2*g**7/945 - g**6/135 + 4*g**5/135 + 65*g**2 - 1. Factor h(s).
2*s**2*(s - 2)**2*(s + 2)/9
Let s(u) = -u**3 + 11*u**2 - 20*u + 21. Let l be s(9). Let i be (7/14)/(l/(-4) - -1). Let 6/5*o + 9/5 + 1/5*o**i = 0. What is o?
-3
Determine j so that 47 - j + 10*j**3 - 14*j**2 - 9*j**3 - 11*j**2 - 13 - 9 = 0.
-1, 1, 25
Let r be (-14)/((3 - 9)*(-2)/(-3)). Let u(i) = i**2 + 11*i + 26. Let z be u(-3). Let -7/2*x + x**z + r*x**3 - 1 = 0. Calculate x.
-1, -2/7, 1
Let f(p) be the second derivative of -p**7/14 + 6*p**6/5 - 6*p**5/5 - 17*p**4/2 + 9*p**3/2 + 33*p**2 - 40*p + 3. Solve f(m) = 0.
-1, 1, 2, 11
Factor 3*v**2 + 4*v**2 + 46 + 6 + 18 - 2*v**2 - 45*v.
5*(v - 7)*(v - 2)
Let g(z) be the second derivative of -z**6/135 - 19*z**5/45 - 28*z**4/3 - 96*z**3 - 384*z**2 + 63*z + 1. Factor g(m).
-2*(m + 2)*(m + 12)**3/9
Let f(k) be the second derivative of k**8/840 + k**7/84 + k**6/30 - k**5/15 - 2*k**4/3 + 2*k**3 + 3*k. Let v(b) be the second derivative of f(b). Factor v(c).
2*(c - 1)*(c + 2)**3
Let b(y) be the first derivative of y**3/3 + 21*y**2/2 + 20*y - 454. Determine j, given that b(j) = 0.
-20, -1
Let b(g) = 2*g**3 - 18*g**2 + 22*g - 45. Let f be b(8). Let w = 5056/1515 - 2/505. Determine r, given that -f + 2*r**3 - w*r**2 - 1/3*r**5 - 7*r + r**4 = 0.
-1, 3
Let l(n) be the second derivative of n**5/2 + 347*n**4/6 + 46*n**3 + 438*n. Determine x so that l(x) = 0.
-69, -2/5, 0
Let r(f) be the third derivative of -f**6/48 - f**5/4 - 5*f**4/4 - 10*f**3/3 - 105*f**2. Let r(a) = 0. What is a?
-2
Let j(u) be the first derivative of 0*u**2 + 13 + 5*u - 5/3*u**3. Factor j(k).
-5*(k - 1)*(k + 1)
Let k(w) = w**3 - 11*w**2 + 9*w + 14. Let l be k(10). Suppose l*q - 11 = 9. Solve 12*p**3 - 5*p + 2 + 16*p**2 + 9*p + 2*p**3 + 5*p + p**q + 6*p**4 = 0 for p.
-2, -1
Factor 24*w**5 + 81*w**3 + 54*w**2 + 5*w**5 - 15*w**5 + 30*w**4 - 11*w**5.
3*w**2*(w + 1)*(w + 3)*(w + 6)
Let j = 22 - 43. Let i = j + 15. Let y(q) = q**2 - q - 1. Let w(f) = 2*f**2 - 7*f - 7. Let r(h) = i*y(h) + 2*w(h). Factor r(x).
-2*(x + 2)**2
Let w(t) = -8*t**4 - 10*t**3 - 18*t**2 - t + 15. Let p(q) = 3*q**4 + 4*q**3 + 6*q**2 - 5. Let n(i) = -11*p(i) - 4*w(i). Factor n(o).
-(o - 1)**2*(o + 1)*(o + 5)
Let t(n) be the second derivative of 0 + 2/9*n**3 + 1/18*n**4 - 4*n + 0*n**2. Suppose t(w) = 0. What is w?
-2, 0
Let i(w) = -w**3 + 6*w**2 + 7*w - 3. Let b be i(7). Let h be ((-1)/b)/(52/(-39)) + 1. Factor -1/2*k**2 + h*k**4 - 1/4*k**3 + 0*k + 0.
k**2*(k - 1)*(3*k + 2)/4
Let k(y) be the second derivative of 3*y**4/4 - 19*y**3/2 - 21*y**2 + 4*y - 12. Factor k(s).
3*(s - 7)*(3*s + 2)
Solve -97*i**4 + 102*i**4 - 10*i**2 + 6*i**3 - i**3 = 0.
-2, 0, 1
Let t be 206/622 - ((-4)/(-12) - 0). Let n = t + 830/311. Factor -8/9*c**2 - 2 + n*c.
-2*(2*c - 3)**2/9
Let a be -6 - (2 + (-155)/10) - 7. Factor -x + 1/2 + a*x**2.
(x - 1)**2/2
Let w(c) be the first derivative of 0*c - 1 - 2/9*c**3 + 0*c**2. Factor w(s).
-2*s**2/3
Let d(k) = -2*k**3 - 8*k**2 - 15*k + 9. Let h(x) = -4*x**3 - 17*x**2 - 29*x + 18. Let b(f) = -2*f - 1. Let u be b(-3). Let p(v) = u*d(v) - 3*h(v). Factor p(l).
(l + 3)**2*(2*l - 1)
Let j(u) be the first derivative of 5*u**3/3 + 125*u**2/2 - 270*u + 260. Determine d so that j(d) = 0.
-27, 2
Factor -84/5*d + d**2 + 64/5.
(d - 16)*(5*d - 4)/5
Let k(i) = i - 9. Let r be k(11). Suppose -8*o + r*o + 24 = 0. Find x such that 2/5*x**5 + 2*x + 4*x**3 + 2/5 + 4*x**2 + 2*x**o = 0.
-1
Let x(p) = -13*p**2 + 11*p - 7. Let r(j) be the second derivative of 7*j**4/12 - 5*j**3/6 + 2*j**2 - 13*j. Let n(t) = 7*r(t) + 4*x(t). Factor n(w).
-3*w*(w - 3)
Let p be 2022/2022*3/((-6)/(-8)). Factor 21/2*f + 3*f**3 + 3/8*f**p + 9/2 + 69/8*f**2.
3*(f + 1)*(f + 2)**2*(f + 3)/8
Factor 20*u**2 + 0*u**3 - 2*u**3 - 51*u**2 + 34*u**2 + u**3 - 2*u.
-u*(u - 2)*(u - 1)
Let c be ((-8)/10)/(2/5). Let p(l) = -295*l + 4. Let u be p(c). Factor -164*w**3 - 624*w**2 - 71*w**5 - 32 + 524*w**3 + 224*w + 504*w**3 + 233*w**5 - u*w**4.
2*(w - 1)*(3*w - 2)**4
Let j(o) = o**3 - 2*o**2 - 2*o - 1. Let k be j(3). Let f = k + 1. Determine u so that -2*u**2 - u - 2*u**5 + 2*u**4 + 2*u**f + u + 0*u = 0.
-1, 0, 1
Let n = -6 + 14. Suppose r = -r + n. Let g(p) = p - 1. Let q(u) = 2*u**2 - 4*u + 2. Let b(f) = r*g(f) + q(f). Factor b(t).
2*(t - 1)*(t + 1)
Let w(u) = -10*u**3 + 4*u**2 + 8. Let y(q) = q**3 - 2. Let o(d) = -w(d) - 4*y(d). Let o(b) = 0. Calculate b.
0, 2/3
Factor -65536/7 - 6144/7*t - 192/7*t**2 - 2/7*t**3.
-2*(t + 32)**3/7
Let a(c) be the first derivative of 9*c**4/10 + 38*c**3/5 - 41*c**2/5