 2)*(t - 1)**2/2
Let p = -979 + 981. What is z in -2/5 - 7/5*z - 3/5*z**p = 0?
-2, -1/3
Let f(t) be the second derivative of -t**5/40 + t**3/4 - 11*t**2/2 - 7*t. Let y(m) be the first derivative of f(m). Factor y(l).
-3*(l - 1)*(l + 1)/2
Suppose 0 = -4*q + 4*s - 0 + 16, -q - 4 = 3*s. Determine n so that q*n**2 + 121*n - n**2 - 120*n = 0.
-1, 0
Let p(w) be the first derivative of 3*w**5/40 + 15*w**4/8 + 39*w**3/4 - 165*w**2/4 + 363*w/8 - 70. Suppose p(y) = 0. What is y?
-11, 1
Let d(r) be the third derivative of 16*r**6/75 + 8*r**5/75 + r**4/60 + 382*r**2. Determine w so that d(w) = 0.
-1/8, 0
Suppose 8/3*w + 8/3 + 2/3*w**2 = 0. Calculate w.
-2
Let p(c) be the second derivative of c**4/12 + c**3/3 + 5*c. Find j, given that p(j) = 0.
-2, 0
Suppose 0 = 8*d - 13*d. Let q be (21/30 - (-5)/(-25))*0. Factor 0*o + q*o**2 + 2*o**3 + 18*o**4 + d + 81/2*o**5.
o**3*(9*o + 2)**2/2
Suppose 3*l = -2*z + 1, -4*l - 33 = -z - 27. Factor 3/4*y**4 - 3/4*y**z - 9/4*y**3 + 0 + 9/4*y.
3*y*(y - 3)*(y - 1)*(y + 1)/4
Let c(x) be the first derivative of -x**4/60 - x**3/15 + 3*x**2/10 + 8*x - 6. Let r(w) be the first derivative of c(w). Factor r(d).
-(d - 1)*(d + 3)/5
Let s be ((-4)/4)/((-2)/(-4)). Let v be s/10 + (-549)/(-45). Solve -26*y**3 + 21*y + 6*y**2 - 2*y + v*y + 8*y**4 + y - 8 = 0 for y.
-1, 1/4, 2
Let b = 329 - 329. Suppose -7 + 15 = h - g, b = h + 2*g + 4. Factor -1/6*q**2 - 1/2*q**3 + 1/6*q**h + 1/6*q**5 + 0 + 1/3*q.
q*(q - 1)**2*(q + 1)*(q + 2)/6
Let k be 4/(-2 + 12/3). Factor -4*x**2 + 8*x**3 - x**5 + k*x**5 + 4*x**3 - 5*x**4 - 4*x**3.
x**2*(x - 2)**2*(x - 1)
Let s be (-2)/(-9) + (-21)/(-27) + 3. Determine f, given that -3*f**2 - 57*f**4 - 3*f**3 + 0*f**3 + 56*f**s + f**2 = 0.
-2, -1, 0
Let o(k) be the first derivative of -70/3*k**3 - 8 - 15/4*k**4 - 85/2*k**2 - 30*k. Factor o(m).
-5*(m + 1)*(m + 3)*(3*m + 2)
Let o = -17031/8 + 2130. Let 3/2 - o*a**2 + 0*a + 3/8*a**3 = 0. What is a?
-1, 2
Let m(b) be the first derivative of -2*b**3/21 + 32*b**2/7 - 62*b/7 + 57. Factor m(l).
-2*(l - 31)*(l - 1)/7
Let x = 42 + -49. Let j be (x + 0)*68/(-1190). Factor 4/5*u**3 + j + 8/5*u + 2*u**2.
2*(u + 1)**2*(2*u + 1)/5
Let x(y) be the third derivative of -4*y**7/105 + 7*y**6/20 + 19*y**5/30 - y**4/2 - 4*y**2 - 23. Factor x(l).
-2*l*(l - 6)*(l + 1)*(4*l - 1)
Let r(l) be the first derivative of 1/3*l**5 - 10/3*l**2 + 4/3*l + 11/3*l**3 - 11/6*l**4 - 9. Let r(b) = 0. Calculate b.
2/5, 1, 2
Let t = 388693/28268 - 2/7067. Solve 8*x - 1 - 51/4*x**2 + t*x**4 - 8*x**3 = 0 for x.
-1, 2/11, 2/5, 1
Find l such that -33 + 10*l + 72 + 5*l**2 - 34 = 0.
-1
Let 32/3*v - 26 - 2/3*v**2 = 0. Calculate v.
3, 13
Let r = 0 + 3. Let -23*j**4 - 18*j**3 + 6*j**4 - 9*j**5 - 7*j**4 + r*j = 0. Calculate j.
-1, 0, 1/3
Factor -2/5*m**2 - 54/5*m**3 + 0 + 54/5*m + 2/5*m**4.
2*m*(m - 27)*(m - 1)*(m + 1)/5
Let q(y) = y**2 + y + 2. Let f be q(-2). Let o(k) = 3*k**3 - 29*k**2 - 8*k - 18. Let d be o(10). Factor 1/3*i**f + i**d + i**3 + 1/3*i + 0.
i*(i + 1)**3/3
Factor -1/2*m**3 + 11/2*m - 7/3 - 8/3*m**2.
-(m - 1)*(m + 7)*(3*m - 2)/6
Let x = -153 - -615/4. Let p = -25979/4 + 6497. Determine t, given that 3/4*t + p*t**3 - x + 15/4*t**2 = 0.
-1, 1/3
Let v = -4/721 + 3712/721. Suppose -v - 28*f**2 + 24*f = 0. Calculate f.
3/7
Let y(c) = 15*c**4 - 124*c**3 - 237*c**2 - 30*c + 60. Let i(k) = 240*k**4 - 1983*k**3 - 3792*k**2 - 477*k + 960. Let x(m) = 2*i(m) - 33*y(m). Solve x(g) = 0.
-1, 2/5, 10
Let d(y) be the first derivative of -75/7*y + 15/7*y**2 + 19 - 1/7*y**3. Factor d(j).
-3*(j - 5)**2/7
Factor -27/2*n + 0 - 1/2*n**2.
-n*(n + 27)/2
Let v(k) be the first derivative of -k**5/15 - 79*k**4/12 - 1520*k**3/9 + 800*k**2/3 - 534. Let v(y) = 0. Calculate y.
-40, 0, 1
Let -2/9*u**4 + 70/9*u + 44/9 - 22/9*u**3 + 2/3*u**2 = 0. What is u?
-11, -1, 2
Let h(w) be the third derivative of 10/3*w**3 + 7/24*w**6 + 0*w + 23/12*w**5 + 0 + 4*w**2 + 25/6*w**4. Factor h(p).
5*(p + 1)*(p + 2)*(7*p + 2)
Let s = -19071/4 + 4768. Factor 1/4*u**4 - s - 1/2*u**3 + 0*u**2 + 1/2*u.
(u - 1)**3*(u + 1)/4
Let y = -447 + 450. Let d(k) be the second derivative of -y*k**4 - 4*k**3 - 6*k + 0*k**2 - 1/10*k**6 + 0 - 9/10*k**5. Factor d(b).
-3*b*(b + 2)**3
Suppose -3*h + 464 = -5*b, 4*h - 5*b - 235 - 387 = 0. Factor -77*n**2 - 90*n**2 + 12 + h*n**2 + 3*n**3.
3*(n - 2)**2*(n + 1)
Let i(y) = y**2 - 9*y + 11. Let p = -2 + 10. Let j be i(p). Factor -2*t**3 - 3*t**5 + 5*t**j + 0*t**5.
-3*t**3*(t - 1)*(t + 1)
Let u(j) be the third derivative of 13/450*j**5 + 0 + 4/45*j**3 - 1/15*j**4 + 1/1575*j**7 - 1/150*j**6 + 0*j - 2*j**2. Factor u(h).
2*(h - 2)**2*(h - 1)**2/15
Factor 123*n**3 + 108*n**2 - 124*n**3 - 103*n**3 - 4*n**4.
-4*n**2*(n - 1)*(n + 27)
Let q(b) be the second derivative of -b**4/12 + 2*b**3/3 - 3*b**2/2 - 48*b + 2. Let q(k) = 0. What is k?
1, 3
Let q be (-14)/10 - 1007/(-530). Determine i so that 1/4*i**3 + 1/4*i**4 + 0*i + 0 - q*i**2 = 0.
-2, 0, 1
Let m(b) = 3*b - 2. Let h be m(2). Suppose -2*d**3 - 2*d - 13*d**2 - h*d + 18 + 3*d**2 = 0. Calculate d.
-3, 1
Let -5 + 2/3*w + 1/3*w**2 = 0. Calculate w.
-5, 3
Let h(o) be the first derivative of o**6/420 - o**5/70 - o**4/21 - 16*o**2 - 9. Let t(f) be the second derivative of h(f). Factor t(i).
2*i*(i - 4)*(i + 1)/7
Suppose 17*q + 17481 - 17515 = 0. Find j, given that -5/4 + 7/2*j + 3/4*j**q = 0.
-5, 1/3
Let b be (-248)/(-496)*0/(-1 - -3). Find x such that b + 3/4*x**4 + 39/4*x**2 - 6*x**3 - 9/2*x = 0.
0, 1, 6
Let l(j) be the second derivative of -j**2 - 3/20*j**5 + 1/30*j**6 + 0 + 32*j + 1/12*j**4 + 1/2*j**3. Factor l(k).
(k - 2)*(k - 1)**2*(k + 1)
Solve 1/2*f**5 - 3*f**2 + 0 - 4*f + 7/2*f**3 + 3*f**4 = 0.
-4, -2, -1, 0, 1
Let a(z) be the third derivative of 3/14*z**3 + 0 + 0*z + 10*z**2 - 1/140*z**6 + 37/420*z**5 - 5/14*z**4. Find s such that a(s) = 0.
1/6, 3
Suppose f - 25 = -5*r - f, -3*f + 30 = 5*r. Suppose 1 + r*x**4 - 17*x**3 + 7 + 34*x**2 + 0 - 28*x = 0. Calculate x.
2/3, 1, 2
Suppose 5*u + 6*l - l = 25, 5*u - l = 37. Let f = 13 - u. Factor -3*s**3 - 2*s**2 + f - 6*s - 2 - 2*s**4 + 9*s**3.
-2*(s - 2)*(s - 1)**2*(s + 1)
Suppose -2*z = 17 - 23. Determine c so that 30*c**4 + 5*c**2 - 877*c - 35*c**z + 877*c = 0.
0, 1/6, 1
Let 64/3 - 16/3*w + 4/3*w**4 + 8/3*w**3 - 32/3*w**2 - 1/3*w**5 = 0. What is w?
-2, 2, 4
Let f(c) = c**3 - 19*c**2 + c - 19. Let u be f(19). Let z(p) be the third derivative of p**2 - 1/6*p**3 - 1/120*p**5 + u*p + 0 + 1/16*p**4. Factor z(a).
-(a - 2)*(a - 1)/2
Let o(c) = -2*c - 14. Let n be o(-8). Factor -4*l**n + l**3 - 5*l + 4*l**3 - 5 + 9*l**2.
5*(l - 1)*(l + 1)**2
Let d(v) be the first derivative of -1/8*v**4 - 1/1080*v**6 + 0*v + 1/60*v**5 - 5 + 0*v**2 + v**3. Let b(w) be the third derivative of d(w). Factor b(q).
-(q - 3)**2/3
Let x be (-1)/(-2) + -6 + 36/(-8) + 14. Solve -2/5*f**5 + 14/15*f**3 + 8/15*f**x - 8/15*f**2 - 8/15*f + 0 = 0.
-1, -2/3, 0, 1, 2
Let w = 67279/269148 - -2/67287. Factor -1/2*a**2 + w*a**4 + 0*a**3 + 1/4 + 0*a.
(a - 1)**2*(a + 1)**2/4
Find m, given that -1234 - 17*m - 3*m**2 + 13*m - 66*m - 86*m - 794 = 0.
-26
Suppose 0 = -r - 3*r - 3*f - 21, 2*f - 32 = 5*r. Let m be (2/(-8))/((-1)/(-16)*r). Let -4*o - m - 10/3*o**2 = 0. What is o?
-1, -1/5
Let s(x) = -6*x + 3. Let t be s(1). Let k be 1/14*(t - (-77)/7). Find n, given that 4/7 + 0*n**4 + 2/7*n**5 - 8/7*n**3 + 6/7*n - k*n**2 = 0.
-1, 1, 2
Let i(q) be the second derivative of 0 - 1/54*q**4 + 2/27*q**3 - q + 0*q**2. Factor i(v).
-2*v*(v - 2)/9
Let m(v) be the third derivative of 0 + 0*v - 1/240*v**5 - 24*v**2 + 1/24*v**3 + 0*v**4. Find a such that m(a) = 0.
-1, 1
Let v = 13709 - 95933/7. Suppose -2/7*c**3 + v*c - 12/7*c**2 - 16/7 = 0. What is c?
-8, 1
Let l(h) be the second derivative of h**6/120 - h**5/10 + 3*h**4/8 - 5*h**3/2 + 2*h. Let j(z) be the second derivative of l(z). Find x such that j(x) = 0.
1, 3
Suppose 0*n - o = -n, -3*n + 5*o = 0. Suppose 3*x + 11 - 26 = n. What is r in -6*r - 4*r**4 - 6*r**3 + 3*r + 12*r**5 - 13*r**x + 2*r - 4*r**2 = 0?
-1, 0
Let g(b) be the first derivative of 8/3*b + 2/9*b**3 - 5/3*b**2 - 10. Factor g(h).
2*(h - 4)*(h - 1)/3
Let p(h) be the second derivative of h**6/45 + 17*h**5/30 + 5*h**4/3 + 20*h + 3. Determine r so that p(r) = 0.
-15, -2, 0
Let b be 9/(-441)*-7*45 + (-6)/1. Factor -8/7*f - 4/7 - b*f**2.
-(f + 2)*(3*f + 2)/7
Let s(h) be the first derivative of 