f n*x**5 + 0*x - 9/4*x**4 - 1/2*x**6 + x**3 - 5 + 0*x**2. Let z(g) = 0. What is g?
0, 1
Let a be (-2)/(3/(279/(-6))). Let y = 39 - a. Factor -y - 5*u**3 + 8 + 7*u**4 - 4*u - 16*u**2.
u*(u - 2)*(u + 1)*(7*u + 2)
Let m(c) = -34*c**3 + 63*c**2 - 42*c + 13. Suppose 4*t - 1 = 3. Let n(k) = -k**3 + 4*k**3 - 4*k**3 + t. Let a(v) = m(v) - 4*n(v). Find l such that a(l) = 0.
1/2, 3/5, 1
Let p(z) be the first derivative of -z**4 + 3032*z**3/3 - 288792*z**2 + 1143072*z - 1338. Factor p(d).
-4*(d - 378)**2*(d - 2)
Let o = 1469/246 + -238/41. Let p(b) be the second derivative of -1/3*b**3 + o*b**4 + 0 - 1/40*b**5 - 25*b + 0*b**2. Suppose p(y) = 0. Calculate y.
0, 2
Factor -55*o**2 - 50*o**2 - 203*o - 192 + 150*o**2 - 56*o**2.
-(o + 1)*(11*o + 192)
Let t = -308261/21 - -102784/7. What is j in 0 - 1/6*j**2 + t*j = 0?
0, 26
Factor -3*u**4 + 105*u - u**4 - 252 + 85*u**2 - u**4 - 5*u**3 + 72.
-5*(u - 4)*(u - 1)*(u + 3)**2
Let m(z) be the second derivative of z**4/15 + 164*z**3/15 + 3362*z**2/5 + z - 153. Let m(y) = 0. Calculate y.
-41
Let p(k) = k**2 - 839*k - 7630. Let y be p(-9). Determine u so that -1/7*u**y + 26/7 - 11/7*u = 0.
-13, 2
Let o = 2/3111 - -1033/6222. Let c(z) be the first derivative of o*z**3 + 28 + 0*z - 1/10*z**5 - 1/8*z**4 + 1/4*z**2. Factor c(w).
-w*(w - 1)*(w + 1)**2/2
Let w(p) = p**3 + 5*p**2 + 5*p + 10. Let q be w(-4). Solve 46*b**2 - 4*b**4 + q*b**4 - 42*b**2 - 6*b**3 = 0 for b.
0, 1, 2
Let f(d) be the third derivative of d**6/160 + 7*d**5/80 + d**4/8 - 3*d**3/2 + 4*d**2 + 11*d. Determine n so that f(n) = 0.
-6, -2, 1
Find b such that -32*b**3 + 738 + 222 + 32*b - 228*b**2 - 12*b**3 = 0.
-4, -3, 20/11
Let t = 59 - 17. Find w, given that -4*w - w**2 + w**2 - t + 3*w**2 + 6*w - 17*w = 0.
-2, 7
Let m(d) be the first derivative of 242*d**5/15 + 220*d**4/3 - 518*d**3/3 + 236*d**2/3 - 40*d/3 - 9512. Let m(h) = 0. Calculate h.
-5, 2/11, 1
Let o = -91260 + 91264. Solve 18*u**o + 52/5*u**3 - 8/5 + 16*u - 214/5*u**2 = 0 for u.
-2, 1/5, 2/9, 1
Factor -o**2 - 8392*o - 28 - 37 + 8409*o + 5.
-(o - 12)*(o - 5)
Let y(f) be the first derivative of -f**7/525 + 13*f**6/300 - f**2/2 + 65*f + 32. Let w(c) be the second derivative of y(c). Determine j so that w(j) = 0.
0, 13
Factor 11/2 + 361/4*j - 33/4*j**2.
-(j - 11)*(33*j + 2)/4
Suppose -21*o = -28*o - 644. Let l be 2 - (o/12 + 7). Factor 10*m**2 + m**4 + 17/3*m**3 - l + 4*m.
(m + 2)**3*(3*m - 1)/3
Suppose 261 = 3*q - 3*c + 297, -2*q = c - 12. Solve 0 - 1/5*s**3 + 7/5*s**2 + q*s = 0.
0, 7
Let i(t) be the second derivative of 1/3*t**4 - 39*t + 0*t**6 + 2/5*t**5 - t**3 - 1/21*t**7 + 0 - 2*t**2. Factor i(c).
-2*(c - 2)*(c - 1)*(c + 1)**3
Let z(l) be the second derivative of l**5/240 - l**4/24 - 3*l**2/2 - 51*l. Let n(y) be the first derivative of z(y). Factor n(r).
r*(r - 4)/4
Let z(j) be the third derivative of -j**7/105 - 89*j**6/420 - 64*j**5/105 + 11*j**4/21 - 17*j**2 + 8. Find q, given that z(q) = 0.
-11, -2, 0, 2/7
Let -1888/3 + 2/3*r**2 + 940/3*r = 0. What is r?
-472, 2
Let f be (-2)/((-484)/341) + 1*6/66. Let -f*z + 9/2 - 5/2*z**2 - 1/2*z**3 = 0. What is z?
-3, 1
Let h(l) = -80*l**3 + 710*l**2 - 1485*l - 475. Let n(x) = 41*x**3 - 358*x**2 + 743*x + 237. Let j(o) = -3*h(o) - 5*n(o). Factor j(p).
5*(p - 6)*(p - 4)*(7*p + 2)
Let v be 194/(-17460) - 2/(-18). Let x(j) be the third derivative of 3/10*j**5 + 18*j**2 + 0*j + 1/70*j**7 + v*j**6 + 1/2*j**3 + 0 + 1/2*j**4. Factor x(o).
3*(o + 1)**4
Suppose 21*s + 962 = 34*s. Suppose -s*v = -79*v. Factor v + 0*h**4 + 0*h**2 + 0*h**3 + 0*h - 2/7*h**5.
-2*h**5/7
Let m(r) = -44*r - 3647. Let g be m(-83). Let w(h) be the first derivative of -1/5*h**2 + 1/5*h**4 + 1/5*h - 30 - 1/5*h**3 + 4/25*h**g. Factor w(x).
(x + 1)**2*(2*x - 1)**2/5
Determine z so that 4/5*z**3 - 16/5 - 2/5*z**4 - 4/5*z + 18/5*z**2 = 0.
-2, -1, 1, 4
Let p = 395 + -392. Let q be 20/(p - -1) - 90/24. Solve 0*x + q*x**5 + 0 - 1/2*x**4 - 5/4*x**3 + 1/2*x**2 = 0.
-1, 0, 2/5, 1
Let s be (50/(-56))/(31 - (-16478)/(-528)). Factor s*v - 3/7*v**2 + 72/7.
-3*(v - 12)*(v + 2)/7
Let x = -13592 + 13594. Factor 20/3*g - 5/3*g**x + 0.
-5*g*(g - 4)/3
Let r be (4/(-24)*(-18)/10)/((-288)/(-800)). Let 40/3*w - r*w**2 - 160/3 = 0. What is w?
8
Let h = 49627/15 + -9925/3. Let r(d) be the first derivative of 0*d + 25 - 2/9*d**3 + h*d**5 + 1/6*d**4 - 1/3*d**2. Let r(p) = 0. What is p?
-1, 0, 1
Suppose -147*x + 108 = -135*x. Factor 4622*i - 4634*i + i**2 - x*i**2.
-4*i*(2*i + 3)
Let a be (45/10)/(12/16). Let g(x) = -2*x**4 - x**3 - 10*x**2 + 4*x + 18. Let b(p) = -p**4 - 2. Let f(k) = a*b(k) - 2*g(k). Factor f(j).
-2*(j - 3)*(j - 2)*(j + 2)**2
Let g(k) be the second derivative of -81 + k + 0*k**2 + 1/40*k**6 - 1/16*k**4 + 0*k**3 - 1/160*k**5 + 1/336*k**7. Determine s, given that g(s) = 0.
-6, -1, 0, 1
Let a be -2*(-6 + 1) - (4 + (-5 - -9)). Factor 400/7 + 1/7*v**a + 40/7*v.
(v + 20)**2/7
Suppose -6/5*j**3 - 4/5*j**4 - 8/5*j + 0 + 16/5*j**2 + 2/5*j**5 = 0. What is j?
-2, 0, 1, 2
Let w(h) be the first derivative of h**6/3 - 32*h**5/5 + 6*h**4 + 92*h**3/3 - 13*h**2 - 60*h - 417. Let w(y) = 0. What is y?
-1, 1, 2, 15
Suppose -h - 2*h = -l - 15, 4*h - 19 = l. Let i be (-1)/l - (-1617)/63. Factor -50*q**2 - 1 + 41*q**2 - 27*q - i - q**3.
-(q + 3)**3
Suppose 22*y - 18*y - 20 = 0. Let k be ((-435)/(-5) - 2) + y. Determine t, given that -t**3 - 7*t**3 + 86*t**2 - k*t**2 + 4*t**3 + 4*t + 4*t**4 = 0.
-1, 0, 1
Let w(t) be the third derivative of t**7/10080 - t**6/2880 - t**5/240 + 23*t**4/24 + 8*t**2 + t. Let i(j) be the second derivative of w(j). Factor i(n).
(n - 2)*(n + 1)/4
Determine g, given that 1415*g**2 - 400 - 1370*g**2 - 761*g + 2551*g = 0.
-40, 2/9
Let a(w) be the third derivative of w**5/150 + 31*w**4/60 - 18*w**2 - 4. Let a(z) = 0. Calculate z.
-31, 0
Factor -6/5*c**3 - 726/5*c**2 + 0 + 0*c.
-6*c**2*(c + 121)/5
Suppose -3*v - 50*v = 4452. Let x be 32/14 - (3 - (-228)/v). Factor 8 - 10/3*p**x - 56/3*p.
-2*(p + 6)*(5*p - 2)/3
Suppose 0 = -12*o + 10*o + 10. Solve -o*p**4 - 80 + 27*p**3 + 3*p**3 - 120*p + 130*p**2 - 135*p**2 = 0 for p.
-1, 4
Suppose 0 = -3128*t + 3117*t. Let u(q) be the first derivative of 1/28*q**4 + 23 - 1/7*q**3 + 1/7*q**2 + t*q. Let u(h) = 0. Calculate h.
0, 1, 2
Let u(m) be the first derivative of -m**4/3 + 136*m**3/3 - 2312*m**2 - 65*m - 111. Let y(p) be the first derivative of u(p). Find i, given that y(i) = 0.
34
Let j(g) be the first derivative of g**9/1512 - g**8/420 + g**7/420 - g**3 + 9*g**2 + 96. Let b(y) be the third derivative of j(y). Factor b(f).
2*f**3*(f - 1)**2
What is w in -181*w - 164*w + 173 + 2*w**3 + 127 + 42*w**2 + w**3 = 0?
-20, 1, 5
Let t(d) be the second derivative of -d**7/189 - 19*d**6/27 - 47*d**5/45 + 30*d - 2. Let t(k) = 0. What is k?
-94, -1, 0
Let -128 - 137*f - 748*f + 573 + 5*f**3 + 435*f**2 = 0. What is f?
-89, 1
Let t = -4079 - -1713181/420. Let h(y) be the third derivative of -t*y**5 + 0*y**4 - 3*y**2 + 0*y + 0*y**3 + 0. Factor h(f).
-f**2/7
Let b be 14/72 - (23 - 276/12). Let x(o) be the third derivative of 49/18*o**3 + 0*o + 0 + 1/180*o**5 + 21*o**2 - b*o**4. Let x(l) = 0. Calculate l.
7
Let z(k) = 61*k**2 - 216*k - 11879. Let a(p) = 336*p**2 - 1079*p - 59394. Let d(n) = -4*a(n) + 22*z(n). Solve d(t) = 0.
-109
Suppose -8*i - 18 = -17*i. Let u be (-9 - i - -7) + 9. Suppose -1/5*w**2 + 0*w + 2/5*w**u + 0 - w**4 + 4/5*w**3 = 0. Calculate w.
0, 1/2, 1
Let h(y) be the first derivative of -y**5/390 + y**4/78 + y**3/13 + 79*y**2/2 + 11. Let u(p) be the second derivative of h(p). Determine i so that u(i) = 0.
-1, 3
Let f(h) = -h**2 - 12*h - 15. Let z be f(-10). Find n such that 55*n**2 - 9*n**z - 32*n**5 + 55*n**3 + 10*n - 75*n**4 - 4*n**5 = 0.
-2, -1/3, 0, 1
Suppose 4*i + 65 = g + 6*i, -2*g - 2*i = -124. Let 1457*p**2 - g*p - 96*p - 726*p**2 + 5*p**3 - 771*p**2 - 110 = 0. Calculate p.
-2, -1, 11
Let c(d) = -53*d**3 + 49*d**2 - 83*d + 42. Let z(y) = 89*y**3 - 97*y**2 + 167*y - 84. Let l(w) = -5*c(w) - 3*z(w). Factor l(k).
-2*(k - 21)*(k - 1)**2
Let b(w) = 7*w**2 + 5*w + 14*w - 7*w - 6 - 4. Let f(c) = 2*c**2 + 1. Let q(n) = -b(n) + 3*f(n). Factor q(i).
-(i - 1)*(i + 13)
Suppose 13*j + 8 + 5 = 0. Let v be 28/16 - j/4. Factor -8*l**2 - 11*l**2 + 6 + 34*l**2 - 17*l**v + 4*l.
-2*(l - 3)*(l + 1)
Suppose 9 - 13 = -2*k. Let s(d) = -d**3 + 3*d**2 + 3. Let y be s(3). Let -7*o**k 