**3 + 1/60*j**6 + 0*j + 0 - 8/105*j**5 + 1/7*j**4 - 1/735*j**7 + 16*j**2. What is a in q(a) = 0?
0, 2, 3
Let f(w) be the first derivative of 1/30*w**5 + 1 + 1/12*w**4 + 0*w - 4*w**2 - 2/3*w**3. Let x(c) be the second derivative of f(c). Suppose x(m) = 0. What is m?
-2, 1
Let n(f) be the third derivative of -f**7/42 + 1453*f**6/12 - 705671*f**5/4 + 10541515*f**4/6 - 21054010*f**3/3 + 1524*f**2 + 3*f. Let n(m) = 0. Calculate m.
2, 1451
Let t(w) be the third derivative of w**6/1800 - 7*w**5/300 + 13*w**4/120 + 38*w**3/3 - 54*w**2. Let z(k) be the first derivative of t(k). What is v in z(v) = 0?
1, 13
Factor 412/9*y + 272/9 + 2/9*y**3 + 142/9*y**2.
2*(y + 1)*(y + 2)*(y + 68)/9
Let x(m) be the second derivative of -m**6/90 + 3*m**5/4 - 43*m**4/36 - 5*m**3/2 + 22*m**2/3 + 1834*m. Factor x(l).
-(l - 44)*(l - 1)**2*(l + 1)/3
Let z be (-2 - (-22)/5)/((-303596)/(-5325) + -57). Let 30*c - z - 5/4*c**2 = 0. Calculate c.
12
Let l(a) = -21*a**3 + 3366*a**2 - 1232136*a + 151958964. Let c(b) = -b**3 + 2*b**2 - 2*b - 2. Let i(j) = 18*c(j) - l(j). Factor i(t).
3*(t - 370)**3
Let t(a) be the first derivative of -16/35*a**5 + 0*a - 2/21*a**6 - 1 - 1/7*a**4 + 0*a**2 + 8/7*a**3. Solve t(q) = 0 for q.
-3, -2, 0, 1
Suppose 7*r + 90 = 12*r. Let n be 8/36 + 32/r + 0. Let -2 - 838*g**n + 2 + 834*g**2 = 0. What is g?
0
Let a(t) = 7*t**3 + 1346*t**2 - 2658*t + 1330. Let c(o) = -5*o**3 - 1345*o**2 + 2661*o - 1331. Let l(h) = -4*a(h) - 5*c(h). Factor l(b).
-3*(b - 445)*(b - 1)**2
Let f(d) be the second derivative of 3*d**5/80 - 875*d**4/24 - 146*d**3/3 - 6*d + 186. Determine z so that f(z) = 0.
-2/3, 0, 584
Let x be (-118021)/(-4173)*2/(-2). Let u = x - -372/13. Determine t, given that u*t**4 - 1/3*t**3 + 0 + 1/3*t - 1/3*t**2 = 0.
-1, 0, 1
Suppose 9*q = -2*a + 114, 4*a + 2*q + 145 = 181. Find b, given that 0 - 1/7*b**a - 225/7*b - 30/7*b**2 = 0.
-15, 0
Let f(q) be the first derivative of -q**4 - 920*q**3/3 + 2*q**2 + 920*q + 3517. Determine j, given that f(j) = 0.
-230, -1, 1
Let d(l) be the second derivative of -l**7/40 + 149*l**6/720 + 37*l**5/120 + l**4/6 - 19*l**3/3 - 90*l. Let x(g) be the second derivative of d(g). Factor x(t).
-(t - 4)*(6*t + 1)*(7*t + 2)/2
What is i in 8*i**2 - 920/3*i + 1184/3 - 2/3*i**4 + 74/3*i**3 = 0?
-4, 2, 37
Let o be 15/(-180) - (3 + 62/(-40)*2). Let h(c) be the third derivative of 0*c + 0 - 1/75*c**5 - 2*c**2 - o*c**4 + 1/300*c**6 + 2/15*c**3. Factor h(n).
2*(n - 2)*(n - 1)*(n + 1)/5
Let s be (122*(-3)/(-18))/(2/6). Suppose s*k - 66*k + 23 = 4*q, -4*q = 3*k - 17. Suppose 8*y + 0 - 4*y**k + 92/5*y**2 = 0. What is y?
-2/5, 0, 5
Factor -3271409 - 2*o**2 + 249*o + 1394*o - 1349391 - 395*o + 4832*o.
-2*(o - 1520)**2
Let z = 7/44 - -15/44. Let s(k) be the second derivative of 0*k**3 - 3/20*k**5 - 14*k + 0*k**2 + 0 + z*k**4. Factor s(x).
-3*x**2*(x - 2)
Let m(f) = -54*f**2 - 22*f - 40*f**2 + 95*f**2. Let q(z) = -24*z. Let d(x) = 3*m(x) - 4*q(x). Factor d(r).
3*r*(r + 10)
Factor -2/3*s**2 - 1076/3 + 542/3*s.
-2*(s - 269)*(s - 2)/3
Suppose 82 = 5*d - 23. Suppose -21 = -n - 5*m, -3*n + 3*m + d = 2*n. Let -9*p**3 - p + 3*p - n*p**2 - 3*p**4 - 2*p = 0. What is p?
-2, -1, 0
Let h(m) = m**3 + 2*m**2 - 5*m - 2. Let s be h(2). Suppose -s*a + c + c + 20 = 0, a + 2 = -3*c. What is p in -a*p**2 - p + 10 + 5*p - 15 + 9 - 4*p**3 = 0?
-1, 1
Suppose -41*z + 0*z = 8*z - 196. Let b(y) be the second derivative of 0 - 2/15*y**6 - 2/5*y**5 - 22*y + 2*y**2 - 19/6*y**3 + 9/4*y**z. Factor b(c).
-(c - 1)*(c + 4)*(2*c - 1)**2
Let l = 62 + -59. Suppose 2*u = 3*d - 2*u - 8, 0 = -d + l*u + 1. Factor -v**4 + 45*v - d*v**4 + 884*v**3 - 829*v**3 - 95*v**2.
-5*v*(v - 9)*(v - 1)**2
Let g(l) be the first derivative of -l**3 - 93*l**2/2 + 306*l - 634. Suppose g(d) = 0. What is d?
-34, 3
Let l(o) be the first derivative of -12*o**5/5 - 1009*o**4 + 6752*o**3/3 - 1352*o**2 - 2859. What is y in l(y) = 0?
-338, 0, 2/3, 1
Solve -20/7*c**4 + 0 + 656/7*c**2 - 368/7*c**3 + 320/7*c = 0.
-20, -2/5, 0, 2
Suppose -2*o - 15*g + 40 = -14*g, 0 = 5*o - g - 100. Suppose -l = o*l - 63. Suppose -5/2*n - 1/2*n**4 + 3/2*n**2 + 1/2*n**l + 1 = 0. What is n?
-2, 1
Let m(u) be the second derivative of -45 - 2*u + 1/4*u**5 + 55/6*u**4 + 0*u**2 + 605/6*u**3. Factor m(z).
5*z*(z + 11)**2
Let h(r) = 3*r**2 - 14*r + 12. Let k be h(6). Let i = k + 120. Factor -76 + 183 - 108*q - 47 + i - q**3 + 18*q**2.
-(q - 6)**3
Let j(c) be the third derivative of c**5/80 + 2*c**4 - 34*c**2 - 2*c + 4. Solve j(b) = 0 for b.
-64, 0
Let w(m) = 3*m**3 - 39*m - 44. Let p(f) = 39*f**3 - 507*f - 570. Let h(i) = -4*p(i) + 51*w(i). Factor h(y).
-3*(y - 4)*(y + 1)*(y + 3)
Let r(y) = -57*y**3 - 252*y**2 - 129*y + 33. Let l(b) = -7*b**3 - 31*b**2 - 16*b + 4. Let k(m) = -33*l(m) + 4*r(m). Factor k(p).
3*p*(p + 1)*(p + 4)
Let x(z) = 12*z**2 + 1835*z + 1816. Let t(c) = 35*c**2 + 5505*c + 5450. Let l(f) = 7*t(f) - 20*x(f). Determine d so that l(d) = 0.
-366, -1
Let f be 4/((1/(-4))/(6/(-24))). Determine r so that -f - 195*r**3 - 1805*r + 4 - 10*r**4 + 2026*r**2 + 15*r**4 - 31*r**2 = 0.
0, 1, 19
Let q(d) = -167*d**2 + 27432*d + 20903162. Let n(p) = 61*p**2 - 9144*p - 6967720. Let r(b) = 11*n(b) + 4*q(b). Suppose r(o) = 0. What is o?
-1524
Let l = 224728 + -224726. Suppose -1/4 - 2*b - 11/2*b**3 - 2*b**4 - 21/4*b**l = 0. Calculate b.
-1, -1/2, -1/4
Solve -704 + 368/3*l + 127/3*l**2 - 1/3*l**4 - 2/3*l**3 = 0.
-8, 3, 11
Let i(u) = -262*u + 7336. Let t be i(28). Suppose 8/5*o + t - 2/5*o**2 = 0. Calculate o.
0, 4
Let c(u) be the second derivative of 0*u**5 - u**4 + u + 2/15*u**6 + 3 + 4/3*u**3 + 0*u**2. Factor c(m).
4*m*(m - 1)**2*(m + 2)
Let r be 1/(255/(-425) - (-2 + 22/30)). Let c(x) be the third derivative of 1/40*x**6 + 0*x + x**2 + 4 + 4*x**3 + 3/10*x**5 + r*x**4. Factor c(f).
3*(f + 2)**3
Let m = -84863 + 84867. Suppose -3/4*c**2 - 1/4*c**m - c**3 + c + 1 = 0. Calculate c.
-2, -1, 1
Factor 14840*r + r**4 + 648*r**2 - 1399680 - 1075*r - 78*r**3 + 56219*r.
(r - 36)**3*(r + 30)
Let w(l) = 2*l**3 + l + 1. Let g(i) = 12*i**3 + 150*i**2 - 301*i + 159. Let m(s) = g(s) - 5*w(s). Factor m(n).
2*(n - 1)**2*(n + 77)
Find v such that -540 - 1083/2*v - 3/2*v**2 = 0.
-360, -1
Suppose 30*w - 29*w = 2. Solve 10*j**2 + 4*j**2 + 11*j + 12*j - 17*j**w + 4*j = 0 for j.
0, 9
Let p(m) = 2*m**2 - 11546*m - 11546. Let o be p(-1). Let 20/9 - 2/9*d**o + 2*d = 0. What is d?
-1, 10
Let b(d) be the second derivative of d**7/24 + d**6/6 - 25*d**5/24 + 5*d**4/4 + d**3/6 - 15*d**2 - 74*d. Let x(o) be the second derivative of b(o). Factor x(k).
5*(k - 1)*(k + 3)*(7*k - 2)
Suppose 25*k - 1 = 24. Factor 6*u**3 + 8 - k + 2 + 27*u**2 + 30*u.
3*(u + 1)*(u + 3)*(2*u + 1)
Suppose 0 = i + 4*y + 2 + 2, 2*i - 3*y - 3 = 0. Let c be 196*3/63*(-3)/(-20). Let -9/5*x + 3*x**2 + 1/5*x**4 - c*x**3 + i = 0. Calculate x.
0, 1, 3
Let d(g) be the first derivative of g**6/1980 + 28*g**5/165 + 784*g**4/33 - 47*g**3/3 - 2*g - 239. Let l(i) be the third derivative of d(i). Factor l(j).
2*(j + 56)**2/11
Solve -165*g**2 + 1233 + 670 - 431 + 398 + 190*g**2 - 4685*g = 0.
2/5, 187
Let i(h) be the third derivative of -h**5/240 + 761*h**4/48 - 579121*h**3/24 + 1515*h**2 + 5*h. Find z such that i(z) = 0.
761
Let z(o) be the first derivative of -2*o**3/15 + 413*o**2/5 - 824*o/5 + 4684. Factor z(i).
-2*(i - 412)*(i - 1)/5
Let u = 265752/7 - 37964. Suppose -46/7*g**2 + u - 6*g = 0. What is g?
-1, 2/23
Let w(n) = -1000*n + 15002. Let q be w(15). Factor -2*f - 5/3 - 1/3*f**q.
-(f + 1)*(f + 5)/3
Let z(g) be the third derivative of -g**6/540 + g**5/90 - g**4/36 + g**3/27 - 245*g**2. Let z(a) = 0. What is a?
1
Let i = -297437/5 + 59507. Factor 17/5*u**3 + 35*u - 93/5*u**2 - 1/5*u**4 - i.
-(u - 7)**2*(u - 2)*(u - 1)/5
Suppose o + 9*o = -0*o. Factor 3*p + 3*p + 6*p + o*p - 4*p**2.
-4*p*(p - 3)
Factor -17/6*q**2 + 5/6*q**3 + 1/6*q**4 - 7/2*q + 0.
q*(q - 3)*(q + 1)*(q + 7)/6
Let r(p) be the first derivative of -2/9*p + 4/9*p**4 - 4/9*p**2 + 4/27*p**3 - 2/45*p**5 - 109 - 4/27*p**6. What is a in r(a) = 0?
-1, -1/4, 1
Solve 384*v**3 - 368*v**3 + 205*v**3 - 8*v**2 - 1476*v**4 + 1263*v**3 = 0.
0, 2/369, 1
Let l = -146383/21 + 6971. Let x(h) be the first derivative of -l*h**3 - 2/7*h**2 + 8/7*h + 1/7*h**4 - 7. Determine r, given that x(r) = 0.
-1, 1, 2
Suppose -39/5*w**4 - 2181/5*w**2 + 1/5*w**5 - 1344/5 + 95*w**3 + 3088