= 0.
-1, 0, 1
Let m(c) be the third derivative of c**7/2520 - c**6/180 + c**5/30 - c**4/24 + 2*c**2. Let h(x) be the second derivative of m(x). Let h(j) = 0. What is j?
2
Let k be ((8/(-18))/4)/(31/(-93)). Suppose 4/3*g**2 + 2/3*g**3 - 2/3 - 2/3*g**4 - k*g - 1/3*g**5 = 0. What is g?
-2, -1, 1
Let t be 2/90*-3 - (-8)/20. Let y(w) be the second derivative of -6*w - w**2 - t*w**3 + 0 + 1/3*w**4. What is q in y(q) = 0?
-1/2, 1
Let n(h) be the second derivative of -h**5/90 - 19*h**4/18 + 5*h + 30. Factor n(d).
-2*d**2*(d + 57)/9
Factor 0*a + 0*a**2 + 0 + 1/2*a**3.
a**3/2
Suppose 0*x = 3*w + 4*x - 32, -2*w = x - 28. Factor 5*n**3 - 17*n**2 + 42*n**2 - 1 + w + 35*n.
5*(n + 1)**2*(n + 3)
Let u(n) be the third derivative of n**6/180 - 2*n**5/45 - n**4/36 + 4*n**3/9 + 295*n**2. Find j such that u(j) = 0.
-1, 1, 4
Let h(d) be the first derivative of -14 + 0*d + 2*d**2 - 1/3*d**3. Factor h(n).
-n*(n - 4)
Let d(u) be the first derivative of -u**2/2 + 12*u - 1. Let x be d(10). Find p, given that -2*p**3 + 4*p + 7*p**3 + 6*p**x - p**3 + 1 + p**4 = 0.
-1
Let a(i) be the third derivative of -i**6/480 + 7*i**5/80 + 15*i**4/32 + 23*i**3/24 - 2*i**2 - 87. Suppose a(k) = 0. What is k?
-1, 23
Let m be 1*(-6 - -1) + (-2398)/(-176). Factor -m*u - 21/8*u**2 - 9/4.
-3*(u + 3)*(7*u + 2)/8
Let r = -300 - -303. Let c(h) be the second derivative of 0*h**5 + 1/3*h**4 + 0*h**r + 0 + 9*h - 1/15*h**6 - h**2. Suppose c(u) = 0. What is u?
-1, 1
Suppose -3*o + 19 = 2*l, -l = -0*o + 3*o - 17. Suppose 14*i + 93 = 45*i. Solve 17*s**4 - 4*s**i - 16*s**4 + o*s**3 = 0 for s.
-1, 0
Let w(u) be the third derivative of -2*u**6/75 - u**5/20 + u**4/120 - 184*u**2. Suppose w(n) = 0. Calculate n.
-1, 0, 1/16
Let d be -143*(-12)/1386 - 4/6. Factor 4/7*j + 0 + d*j**2.
4*j*(j + 1)/7
Let v(w) = w**2 - 11*w. Let x be v(-12). Determine s so that 529*s**2 + 36 + x*s - 72*s**4 + 71*s**3 + 68*s**2 - 75*s**4 + 139*s**3 = 0.
-1, -2/7, 3
What is c in -3*c + 1/4*c**2 + 9 = 0?
6
Let v(m) be the first derivative of m**6/120 + m**5/20 + 11*m**3 - 35. Let c(h) be the third derivative of v(h). Find g such that c(g) = 0.
-2, 0
Let n(y) be the first derivative of y**5/12 + 5*y**4/3 + 40*y**3/3 + y**2/2 + 12. Let r(m) be the second derivative of n(m). Factor r(i).
5*(i + 4)**2
Let f(i) be the first derivative of -i**6/39 + i**4/13 - i**2/13 + 22. Factor f(r).
-2*r*(r - 1)**2*(r + 1)**2/13
Factor -15*n**2 + 5 + n - 31*n + 25 + 10 + 5*n**3.
5*(n - 4)*(n - 1)*(n + 2)
Let u(l) be the first derivative of -3*l**4/4 + 12*l**3 + 135*l**2/2 - 521. Solve u(d) = 0.
-3, 0, 15
Suppose -13*f - 1065 = -376. Let b = 221/4 + f. Factor 27/8 + b*h + 3/8*h**2.
3*(h + 3)**2/8
Let a be (8 + -1)/(20/20). Factor 6*v**4 + 7*v**5 + 6*v**3 - a*v**5 + v**2 + 2*v**5 + v**2.
2*v**2*(v + 1)**3
Let z(j) be the second derivative of 56/27*j**3 - 5/18*j**5 + 4/3*j**2 + 55/54*j**4 - 26*j + 0. Determine n, given that z(n) = 0.
-2/5, 3
Let g = 9 - -10. Determine i so that -i**2 - g*i**2 - 8*i + 5*i**4 - 10*i**3 + 48*i = 0.
-2, 0, 2
Let n be 3/(-25)*(-10)/54. Let l(m) be the third derivative of 0 - 2*m**2 - n*m**6 + 1/112*m**8 + 1/210*m**7 + 0*m + 0*m**3 - 1/45*m**5 + 0*m**4. Factor l(f).
f**2*(f - 1)*(3*f + 2)**2/3
Let r(u) be the first derivative of 0*u**3 + 6 + 0*u**2 + 0*u - 8/5*u**5 + 0*u**4 + 1/3*u**6. Solve r(n) = 0.
0, 4
Factor 30*u**3 - 948*u**4 + 2*u**5 - 947*u**4 + 18*u**2 + 1909*u**4.
2*u**2*(u + 1)*(u + 3)**2
Let p(f) = -4*f**4 + 6*f**3 + 11*f**2 + 6*f. Let b(m) = 3*m**4 - 6*m**3 - 11*m**2 - 6*m. Let t(a) = 5*b(a) + 4*p(a). Factor t(w).
-w*(w + 1)*(w + 2)*(w + 3)
Let j(x) be the second derivative of 0 - 4/5*x**5 + 1/3*x**4 + 0*x**3 + 0*x**2 - 2/3*x**6 + 6*x. Factor j(q).
-4*q**2*(q + 1)*(5*q - 1)
Let b(n) be the second derivative of n**6/30 + n**5/40 - 11*n**4/24 + 11*n**3/12 - 3*n**2/4 + 2*n - 11. Determine j so that b(j) = 0.
-3, 1/2, 1
Let d(j) be the third derivative of j**8/2856 - j**7/357 + j**6/340 + j**5/102 - j**4/51 - 91*j**2. Solve d(w) = 0.
-1, 0, 1, 4
Let o(r) be the first derivative of 5*r**4/4 - 115*r**3/3 - 65*r**2 + 240*r - 364. Determine i so that o(i) = 0.
-2, 1, 24
Factor 72 + 19*i**2 - 28*i - 19*i**2 - 4*i**3 - 56*i + 32*i**2.
-4*(i - 3)**2*(i - 2)
Let t be -1 + 2 - (2 + (4 - 5)). Suppose 2*r**3 - 50 + t*r**3 - 40*r**2 - 95*r + 2*r**3 + r**3 = 0. What is r?
-1, 10
Let b(d) be the first derivative of d**4/42 - 2*d**3/7 + 8*d**2/7 - 40*d/21 + 955. Determine m so that b(m) = 0.
2, 5
Suppose 4*v + 22 = 5*p, -6*p + p = -v - 13. Factor -7/3*d + 2/3 + d**p.
(d - 2)*(3*d - 1)/3
Factor 0*o + 1/10*o**4 + 0 + 1/10*o**3 + 0*o**2.
o**3*(o + 1)/10
Let g = 2/787 + 3130/7083. Let 0 - 2/3*d**3 - 2/9*d**2 + g*d = 0. What is d?
-1, 0, 2/3
Let d(t) = 4*t**3 - 6*t**2 + 3*t + 1. Let x(h) be the second derivative of h**5/4 - 7*h**4/12 + 2*h**3/3 + 22*h. Let f(g) = -4*d(g) + 3*x(g). Factor f(k).
-(k - 2)**2*(k + 1)
Find i such that -39/5*i**2 + 6/5*i + 24/5 - 3/5*i**3 + 3*i**4 - 3/5*i**5 = 0.
-1, 1, 2, 4
Let -92/3 + 2/3*u**3 - 182/3*u - 88/3*u**2 = 0. Calculate u.
-1, 46
Let t(k) be the first derivative of -k**7/4200 + k**6/900 - k**5/600 + 2*k**3/3 + 3. Let v(i) be the third derivative of t(i). Factor v(d).
-d*(d - 1)**2/5
Determine t so that -1/2*t**4 - 4*t**2 + 0 + 0*t + 3*t**3 = 0.
0, 2, 4
Factor -2/5*c**2 + 0 + 22/5*c.
-2*c*(c - 11)/5
Let t(o) be the second derivative of o**5/60 + o**4/4 - 17*o**3/9 + 4*o**2 - 2*o - 40. Factor t(c).
(c - 2)*(c - 1)*(c + 12)/3
Let q = 1346 + -1344. Let x(h) be the first derivative of -7 + 0*h + 1/2*h**q + 0*h**3 - 1/4*h**4. Suppose x(s) = 0. What is s?
-1, 0, 1
Suppose 0 = 6*j - 2*j + 20. Let h(l) = -l**3 + 6*l - 7. Let f be h(j). Determine r, given that f - 86 - 4*r**2 + 2*r**2 = 0.
-1, 1
Let q(f) be the third derivative of -f**7/840 + f**5/40 + f**4/12 + f**3/3 + 8*f**2. Let o(v) be the first derivative of q(v). Let o(b) = 0. Calculate b.
-1, 2
Let s be ((-22)/(-66))/(2/78). Let y(j) = -3*j + 42. Let l be y(s). Solve -2/5*p**5 + 0*p**l + 1/5*p**2 - 3/5*p**4 + 0*p + 0 = 0.
-1, 0, 1/2
Let g be (-2282)/(-1666) + (-6)/14. Let j(s) be the second derivative of 1/102*s**4 + 0 + 8*s + 8/51*s**3 + g*s**2. Factor j(u).
2*(u + 4)**2/17
Let j(c) be the second derivative of 3*c**5/20 - 3*c**4 + 18*c**3 + 16*c + 1. Factor j(p).
3*p*(p - 6)**2
Let v(q) = 2*q + 2. Let h be v(0). Factor 2*d**3 - h*d**2 + 74 - 74 - d**3 + d.
d*(d - 1)**2
Factor -4/5 - 15129/5*v**2 - 492/5*v.
-(123*v + 2)**2/5
Let z be 5/2 - 36/(-72). Let t(y) be the third derivative of 5*y**2 + 0*y + 0 + 1/12*y**z + 1/96*y**4 - 1/240*y**5. Factor t(j).
-(j - 2)*(j + 1)/4
Let u(q) = -496*q**3 - 702*q**2 + 1984*q - 882. Let c(t) = -247*t**3 - 351*t**2 + 991*t - 441. Let d(s) = -5*c(s) + 2*u(s). Factor d(x).
3*(x + 3)*(9*x - 7)**2
Let u(y) be the second derivative of y**4/16 + 9*y**3/8 + 27*y**2/4 + 268*y. Factor u(b).
3*(b + 3)*(b + 6)/4
Let f(d) be the third derivative of 2 + 1/192*d**4 + 1/48*d**3 - 1/960*d**6 - 39*d**2 - 1/480*d**5 + 0*d. Factor f(z).
-(z - 1)*(z + 1)**2/8
Let z(p) be the first derivative of p**3/5 - 6*p**2 - 63*p/5 - 376. Factor z(i).
3*(i - 21)*(i + 1)/5
Let d(b) = -18*b**3 - 2*b**2 + 16*b. Suppose -2*k + z + 3 = 6, 3*k + 22 = 5*z. Let x(s) = s**3 + s**2 + s + 1. Let a(w) = k*d(w) + 8*x(w). Factor a(y).
-2*(y - 2)*(y + 1)*(5*y + 2)
Let v(a) be the second derivative of 0 + 9*a + 1/2*a**3 - 1/24*a**4 - 9/4*a**2. Suppose v(d) = 0. Calculate d.
3
Let q be 1/((-49)/1148)*(-5)/2. Let o = q - 58. Suppose 0*r - o*r**3 + 0 - 12/7*r**2 = 0. What is r?
-3, 0
Let h = -1564 - -4694/3. Suppose -1/3*z**4 - h - 1/3*z + 1/3*z**3 + z**2 = 0. Calculate z.
-1, 1, 2
Determine i so that -8*i - 2/5*i**2 + 0 = 0.
-20, 0
Suppose 41*r + 36 = 59*r. Factor 4/17 + 6/17*z + 2/17*z**r.
2*(z + 1)*(z + 2)/17
Suppose 7*x = -2*w + 5*x + 16, 4*w + x = 23. Suppose -4 - 28*t**3 + 14/3*t**w - 74/3*t + 4/3*t**4 - 136/3*t**2 = 0. What is t?
-1, -2/7, 3
Let d(i) be the second derivative of -10*i - 1/3*i**3 - 1/3*i**4 + 0 + 0*i**5 + 2/15*i**6 + 0*i**2 + 1/21*i**7. Factor d(x).
2*x*(x - 1)*(x + 1)**3
Let k(x) = -x**3 + x**2 - 2*x + 2. Let f(w) = -5*w**5 + 10*w**4 + 36*w**3 - 46*w**2 - 13*w + 18. Let a(n) = -f(n) - 6*k(n). What is h in a(h) = 0?
-2, -1, 1, 3
Let y(h) be the second derivative of 3*h**5/20 - h**4/4 - h**3/2 + 3*h**2/2 + 572*h. Factor y(q).
3*(q - 1)**2*(q + 