c be (-2 - -1)*27/(-9). Find z such that 1 + 7 - c*z**2 - 5 = 0.
-1, 1
Suppose 2*n = -4*y + 10, -5*y - 5*n + 15 = -0*y. Factor -50*o**y - 27*o**3 - 70*o**2 - 180*o - 36*o**2 + 48.
-3*(o + 2)*(o + 4)*(9*o - 2)
Suppose 0 + 269/6*v**4 - 5*v**3 + 12*v - 106/3*v**2 + 5/2*v**5 = 0. What is v?
-18, -1, 0, 2/5, 2/3
Suppose 11*m = 16*m - 30. Suppose m*p = 38 - 38. Let -1/2*g**3 + p*g - 1/2*g**2 + 0 = 0. What is g?
-1, 0
Let z(x) be the third derivative of x**8/1008 + x**7/126 - x**6/24 - x**5/36 + 7*x**4/36 - x**2 - 414*x. Find s such that z(s) = 0.
-7, -1, 0, 1, 2
Let o(b) be the second derivative of 3/10*b**5 + 2/21*b**7 + 0*b**2 - 1 - 1/3*b**3 - 38*b + 1/3*b**6 - 1/6*b**4. What is u in o(u) = 0?
-1, 0, 1/2
What is m in 16/7*m**2 + 0 - 2/7*m - 32/7*m**3 = 0?
0, 1/4
Let p(d) be the third derivative of 5*d**2 + 0*d + 9 + 4*d**3 - 1/15*d**5 - 5/6*d**4. Factor p(f).
-4*(f - 1)*(f + 6)
Let x(w) be the third derivative of w**5/60 - 148*w**4 + 525696*w**3 + 2671*w**2. Factor x(s).
(s - 1776)**2
Let d = 171 + -159. Suppose -a**3 - 6*a**2 - 215*a + d*a**2 + 8 + 230*a = 0. Calculate a.
-1, 8
Let m(q) be the first derivative of 4*q**3/3 + 282*q**2 - 568*q - 900. Solve m(i) = 0 for i.
-142, 1
Let p = 2381/174 - 392/29. Let j(w) be the third derivative of p*w**5 + 0 + 0*w**3 - 1/21*w**7 + 0*w - 5/336*w**8 + 0*w**6 + 12*w**2 + 5/24*w**4. Factor j(c).
-5*c*(c - 1)*(c + 1)**3
Let j = 5171072 + -98284385/19. Let v = 1791 + j. Find k, given that 2/19*k**3 - 14/19*k + 0*k**2 + v = 0.
-3, 1, 2
Let g be (-7 + 14)/(-98) - 399/(-98). Factor -2/7*n + 8/7*n**2 + 12/7*n**g + 0 + 22/7*n**3.
2*n*(n + 1)**2*(6*n - 1)/7
Let o be (-4 - -4)/(2*1). Let y be -5*8*((-66)/60 + 1). Solve 0*z + o*z**3 - 2/5*z**2 + 1/5 + 1/5*z**y = 0 for z.
-1, 1
Suppose -4*b - o - 105265 = 0, -3*o + 264 - 52909 = 2*b. Let u be b/(-4180) - (10/(-8) - -1). Factor -24/11*v - u - 2/11*v**2.
-2*(v + 6)**2/11
Let j(r) be the third derivative of 3*r**8/616 - r**7/385 - 41*r**6/660 + r**5/30 + 5*r**4/33 + 4*r**3/33 - 2*r**2 + 4186. Determine y, given that j(y) = 0.
-2, -1/3, 1, 2
Let z(n) be the first derivative of -157 - 336/11*n**3 - 160/11*n**2 + 686/55*n**5 - 32/11*n - 196/11*n**4. Find t, given that z(t) = 0.
-2/7, 2
Let b(l) be the third derivative of l**5/150 - l**4/30 + 144*l**2. Let b(j) = 0. Calculate j.
0, 2
Let p(c) be the second derivative of -c**7/105 - c**6/30 + c**4/6 - 41*c**3/2 - 3*c - 1. Let u(n) be the second derivative of p(n). Factor u(j).
-4*(j + 1)**2*(2*j - 1)
Factor 0*d**2 - 11/2*d - 15/4 + 3/2*d**3 - 1/4*d**4.
-(d - 5)*(d - 3)*(d + 1)**2/4
Suppose -l - l + 4 = 0. Let k be 10/80*(48/(-22))/(873/(-2134)). Find h, given that 2/3*h - k*h**l + 4/3 = 0.
-1, 2
Find p, given that 0*p - 3*p**4 + 3*p**2 - 1/2*p**5 + 0 + 1/2*p**3 = 0.
-6, -1, 0, 1
Let t(j) = 13*j - 335. Let x be t(26). Factor 17 + m**4 + 28*m**3 + 6 - 10*m - 12*m - 6*m**x - 24*m**2.
(m - 1)**2*(m + 1)*(m + 23)
Let c = 219748/9 + -219742/9. Determine m so that c*m**2 + 4/3*m + 2/3 = 0.
-1
Suppose -g = -3*m - 11, -m - 13 = -3*g - 4. Let t(z) be the second derivative of 1/12*z**4 + 0 + 1/12*z**3 + 4*z + 0*z**g + 1/40*z**5. Factor t(r).
r*(r + 1)**2/2
Let t(l) be the first derivative of -l**5/30 + 7*l**4/2 - 18*l**3 + 80*l**2/3 - 2384. Solve t(i) = 0.
0, 2, 80
Let k(o) be the second derivative of o**5/30 + 14*o**4/3 + 343*o**3/3 + 3430*o**2/3 + 891*o. Factor k(g).
2*(g + 7)**2*(g + 70)/3
Let w(d) = 53*d**2 + 3*d + 4. Let j be w(-1). Suppose -31*a + 7*a**2 + 11*a**2 - 15*a**2 + j - 26*a = 0. What is a?
1, 18
Suppose 4*h = -2*y + 42, 2*h + 5 - 23 = -2*y. Suppose -h*v = 11 - 35. Factor 4/3*l**v + l**3 + 1/6*l**4 - 3/2 - l.
(l - 1)*(l + 1)*(l + 3)**2/6
Let j(o) be the first derivative of 69*o**3 + 411*o**2/4 - 3*o/2 + 1718. Find w, given that j(w) = 0.
-1, 1/138
Let w(h) be the second derivative of 4/39*h**4 - 1/273*h**7 + 2/65*h**5 + 0*h**3 + 0 - 2/195*h**6 + 22*h + 0*h**2. Factor w(o).
-2*o**2*(o - 2)*(o + 2)**2/13
Solve 600*a**2 + 1852*a**4 - 51*a**3 - 54*a**3 - 1876*a**4 + 4*a**5 - 500*a + 25*a**3 = 0.
-5, 0, 1, 5
Let a(t) be the first derivative of -5*t**6/6 + 4*t**5 - 80*t**3/3 + 40*t**2 + 500. Solve a(v) = 0 for v.
-2, 0, 2
Let l(u) = -u**2 + u + 69. Let p(g) = -7*g**2 - 2728*g + 1871976. Let o(a) = 40*l(a) - 5*p(a). What is x in o(x) = 0?
1368
Let x be (-3*(-4)/36)/(10/33980). Let r = 1134 - x. Solve d - 1/6*d**2 - r = 0.
2, 4
Factor 62/7*u - 64/7*u**2 + 0 + 2/7*u**3.
2*u*(u - 31)*(u - 1)/7
Suppose 0*x = -2*w + 2*x + 32, -32 = -2*w - 4*x. Let j = 19 - w. Factor 10 + 3*f**4 + 5*f**j + 2*f**4 - 95*f + 90*f - 15*f**2.
5*(f - 1)**2*(f + 1)*(f + 2)
Let b = -4528 + 9057/2. Let g(m) be the first derivative of -2*m**2 - b*m**4 - 2 - 2*m**3 + 0*m. Factor g(a).
-2*a*(a + 1)*(a + 2)
Let q(x) be the first derivative of -x**3/12 - 995*x**2/4 - 990025*x/4 - 2644. Solve q(p) = 0 for p.
-995
Let w(q) be the third derivative of 17/150*q**5 + 0 + 0*q + 0*q**3 + 142*q**2 + 1/60*q**6 + 1/10*q**4. Factor w(s).
2*s*(s + 3)*(5*s + 2)/5
Let f be ((-2)/(-4) - 1)/(381/(-11430)). Suppose -3*a + n = -13 - 2, 5*n + f = 0. Factor -2/7*t**3 + 2/7*t - 2/7*t**a + 0 + 2/7*t**2.
-2*t*(t - 1)*(t + 1)**2/7
Let v(r) be the third derivative of -r**6/120 - 323*r**5/60 + r**2 - 406*r. Factor v(c).
-c**2*(c + 323)
Let s be 0*29/(-65 - 22). Solve s - 4*g - 1/2*g**2 = 0.
-8, 0
Let n(a) be the first derivative of -31*a**6/1980 - a**5/330 + 28*a**3 - 215. Let i(w) be the third derivative of n(w). Factor i(t).
-2*t*(31*t + 2)/11
Let l(q) = -q**2 + 7*q + 4. Let m be l(5). Factor 62*p - p**3 - 24*p - 23*p - m*p.
-p*(p - 1)*(p + 1)
Solve -59/3*z**3 - 20/3*z**4 - 22/3*z**2 + 0 + 3*z**5 + 8/3*z = 0.
-1, 0, 2/9, 4
Let g = 1/5923 + 5788/799605. Let i(u) be the third derivative of 0*u**3 + 2/27*u**4 + 0*u + 11*u**2 + 0 - g*u**5. Suppose i(k) = 0. Calculate k.
0, 4
Let x(a) = 583*a**2 - 7770*a - 5392. Let i(o) = -385*o**2 + 5180*o + 3595. Let p(z) = 8*i(z) + 5*x(z). Determine j so that p(j) = 0.
-2/3, 180/11
Let r(g) be the third derivative of -g**7/630 + 3*g**6/10 + 37*g**5/60 - 109*g**4/36 + 39*g**2 + 106. Factor r(j).
-j*(j - 109)*(j - 1)*(j + 2)/3
Let f be (-9226)/(-10) + 2 + (-8)/5. Let d = -921 + f. Factor -16/5*n**d + 8/5*n**3 + 4/5*n**4 - 8/5*n + 12/5.
4*(n - 1)**2*(n + 1)*(n + 3)/5
Let o be 13/5 + 4/10. Let x = -2466/53 + 32164/689. What is a in -6/13*a**2 + x*a**o + 8/13 + 0*a = 0?
-1, 2
Let b(z) be the first derivative of z**6/2520 + z**5/84 + 49*z**3/3 + 2*z - 137. Let k(g) be the third derivative of b(g). Factor k(f).
f*(f + 10)/7
Let w = 141 - 135. Suppose -l - 3 = -w. Find h, given that -h**l - h**2 - 8 - 28*h + 48*h - 13*h**2 - h**5 + 4*h**4 = 0.
-2, 1, 2
Let a(g) = -g**3 + g**2 + 3*g. Let n(k) = -388*k + 400. Let v(r) = -4*a(r) + n(r). Factor v(f).
4*(f - 10)*(f - 1)*(f + 10)
Let r(g) be the third derivative of g**6/150 + 101*g**5/150 - 263*g**4/60 + 106*g**3/15 - 12*g**2 - 18*g + 2. Factor r(l).
2*(l - 2)*(l + 53)*(2*l - 1)/5
Let c(x) be the second derivative of -71*x + 0 - 3/8*x**4 - 1/24*x**5 + x**2 + 5/9*x**3. Factor c(w).
-(w - 1)*(w + 6)*(5*w + 2)/6
Let p be (-108)/(-48) + 0 + (-3)/12. Suppose 9*k**p - 2/3 + 25/3*k = 0. Calculate k.
-1, 2/27
Factor 0*m - 4050/11*m**2 + 2/11*m**5 + 3870/11*m**3 + 0 + 178/11*m**4.
2*m**2*(m - 1)*(m + 45)**2/11
Let a(m) = -100*m**2 + 1864*m - 107. Let g(k) = -133*k**2 + 2481*k - 143. Let r(p) = -9*a(p) + 7*g(p). Factor r(q).
-(q - 19)*(31*q - 2)
Let p = -107064 - -537912/5. Factor -192/5*h - p*h**3 + 1377/5*h**4 + 1512/5*h**2 - 48/5.
3*(3*h - 2)**3*(17*h + 2)/5
Factor 12/7*d**3 - 12*d - 45/7 + 3/7*d**4 - 30/7*d**2.
3*(d - 3)*(d + 1)**2*(d + 5)/7
Let r(t) be the third derivative of t**6/75 + 223*t**5/30 - 93*t**4/20 + 22*t**2 + 5*t. Suppose r(l) = 0. Calculate l.
-279, 0, 1/4
Let x(z) = -2*z**4 - 20*z**3 + 14*z**2 + 122*z. Let v(l) = -6*l**4 - 39*l**3 + 31*l**2 + 245*l. Let c(o) = -2*v(o) + 5*x(o). Factor c(i).
2*i*(i - 10)*(i - 3)*(i + 2)
Let k be (5/((-5)/(-12)))/((-10)/(-55)). Suppose -23*a**5 + 39*a**5 - 21*a**5 + 9*a**2 - 155*a**3 + k*a**2 + 85*a**4 = 0. Calculate a.
0, 1, 15
Let c(h) = 99*h**2 - 573*h + 516. Let l(a) = -a**3 - 87*a**2 + 572*a - 512. Let u(s) = -2*c(s) - 3*l(s). Let u(x) = 0. What is x?
-28, 1, 6
Let a(c) be the third derivative of -7*c - 4*c**2 - 1/6*c**4 + 1/60*c**5 + 0*c**3 + 0. Factor a(x).
x*(x - 4)
L