 + 21/5*y**3 = 0?
-4, -1, 0, 1/3, 1
Let o = 3997/1821 - -84/607. Let t(r) be the third derivative of o*r**3 + 0*r - 1/6*r**4 + 0 + 1/210*r**5 + 29*r**2. What is c in t(c) = 0?
7
Let 0 - 21/4*s + 1/8*s**2 = 0. Calculate s.
0, 42
Let p(n) be the first derivative of n**5/5 + 71*n**4/4 + 91*n**3 + 337*n**2/2 + 134*n - 6609. Factor p(g).
(g + 1)**2*(g + 2)*(g + 67)
Let d(b) = -10*b**3 - 302*b**2 - 1787*b - 2591. Let m(n) = 7*n**3 + 201*n**2 + 1192*n + 1726. Let s(c) = 5*d(c) + 7*m(c). Find j such that s(j) = 0.
-97, -3
Suppose -5*z + 2 + 3 = 5*x, 0 = 2*z + x - 3. Let k be (-27)/60*80/(-60). Factor 3*y - k*y**z + 0.
-3*y*(y - 5)/5
Let r(d) be the first derivative of -d**3/5 - 210*d**2 - 73500*d + 3244. Determine t, given that r(t) = 0.
-350
Let a(n) = n**3 - 16*n**2 + 35*n - 14. Let h be a(15). Let z = h - 284. Factor -3/4*u**z + 2 + 5/2*u.
-(u - 4)*(3*u + 2)/4
Suppose 59*q + 315 = 492. Let u(b) be the first derivative of 0*b + 1/4*b**q - 9 + 3/4*b**2. Find r such that u(r) = 0.
-2, 0
Let h(t) be the third derivative of t**6/30 - 511*t**5/15 + 32512*t**4/3 + 131072*t**3/3 + 1268*t**2. Determine p, given that h(p) = 0.
-1, 256
Let n = -1482 + 1499. Let h be (n + -1)*(-7 - -19)/168. What is g in -h + 8/7*g - 2/7*g**2 = 0?
2
Suppose 11*n - 6*n = 3*h + 1, -3*h + 2*n + 5 = 0. Let s(q) = q**2 - 2*q - 1. Let x be s(-1). Factor -26 - 2*d**x + 5*d**h + 26.
d**2*(5*d - 2)
Let q(a) = 3*a**3 + 16*a**2 + 11*a + 6. Let j(b) be the third derivative of -b**6/120 + b**4/24 + b**3/3 + 151*b**2. Let g(r) = -3*j(r) + q(r). Factor g(n).
2*n*(n + 2)*(3*n + 2)
Let y(i) be the first derivative of -72*i**2 - 132/5*i**5 - 80*i - 31*i**4 + 14/3*i**6 + 104 + 452/3*i**3. Let y(l) = 0. What is l?
-2, -2/7, 1, 5
Let a(r) be the third derivative of 0 + 0*r - 5/36*r**5 - 5/6*r**3 + 131*r**2 + 1/72*r**6 + 35/72*r**4. Factor a(p).
5*(p - 3)*(p - 1)**2/3
Let z(g) be the third derivative of -g**6/540 - 7*g**5/45 - 41*g**4/108 + 1872*g**2. Determine q so that z(q) = 0.
-41, -1, 0
Let t(i) be the second derivative of 5*i**4/2 + 19*i**3/2 + 27*i**2/2 - 57*i + 1. Let f(q) = -7*q**2 - 14*q - 7. Let l(x) = 21*f(x) + 5*t(x). Solve l(a) = 0.
-1, 4
Let h = 388 - 614. Let x = h - -228. Factor -3/2*w + 0 + 0*w**3 - 9/4*w**x + 3/4*w**4.
3*w*(w - 2)*(w + 1)**2/4
Solve -2*s - 236/5*s**2 - 18/5*s**3 + 208/5 = 0 for s.
-13, -1, 8/9
Let n(c) be the third derivative of c**5/100 + 43*c**4/10 - 173*c**3/10 + 2*c**2 - 95. Factor n(b).
3*(b - 1)*(b + 173)/5
Suppose n - 5*c - 16 = -n, -3*n + 4*c + 17 = 0. Let k be n/((-2)/3 - (-153)/108). Factor h**5 + 46*h**4 - 99*h**k - 10*h**3 + 5 + h**2 - 3*h**2 + 50*h**4 + 9*h.
(h - 5)*(h - 1)*(h + 1)**3
Factor 25568*w + 5336*w**2 + 36992 - 28*w**4 + 194*w**3 + 1/2*w**5.
(w - 34)**2*(w + 4)**3/2
Let f(n) be the second derivative of -4/3*n**3 - 1 + 1/9*n**4 - 5*n + 1/10*n**5 - 1/45*n**6 + 8/3*n**2. Let f(m) = 0. What is m?
-2, 1, 2
Let d = -30/22597 - -67851/45194. Factor d*c**2 - 11/4*c - 1/4*c**3 + 3/2.
-(c - 3)*(c - 2)*(c - 1)/4
Find v such that -422*v - 13*v - 342*v**2 - 880 - 1233*v - 448 - 2*v**3 = 0.
-166, -4, -1
Let u = 1/53956 - -53953/161868. Solve 2*j**2 - 32/3 + u*j**3 + 0*j = 0 for j.
-4, 2
Let k(f) be the first derivative of -f**3/3 - 113*f**2/2 - 330*f - 1631. Factor k(m).
-(m + 3)*(m + 110)
Factor -1/4*s**2 + 2/3 + 1/2*s - 1/12*s**3.
-(s - 2)*(s + 1)*(s + 4)/12
Let d = 612897/20 - 30644. Let p(j) be the first derivative of -d*j**5 + 1/24*j**6 - 5 + 47/8*j**4 + 161/8*j**2 - 49/4*j - 95/6*j**3. Factor p(c).
(c - 7)**2*(c - 1)**3/4
Suppose 14 + 12 = 13*s. Let i = 40/59 - 2/177. Factor -4/3*f + i + 2/3*f**s.
2*(f - 1)**2/3
What is d in 27*d**2 - 56 - 3*d**3 + 210*d + 20 - 36 - 8*d**2 = 0?
-6, 1/3, 12
Factor 12*o**3 - 12*o - 18*o**3 + 8*o**2 + 2*o**3 + 8*o**3.
4*o*(o - 1)*(o + 3)
Let v be 6 + -2 + -9 + 44 + -1. Let y be (1*v/(-18))/((-10)/10830). Factor 722*x**2 + 8/3 - y*x**3 - 76*x.
-(19*x - 2)**3/3
Let b(n) be the first derivative of -2*n**6 - 189*n**5/5 - 411*n**4/4 + 87*n**3 + 351*n**2/2 + 8636. Let b(u) = 0. What is u?
-13, -3, -3/4, 0, 1
Let n be 15436/(-187) - -49 - -35. Factor 156/11*s - 38/11*s**2 - n.
-2*(s - 4)*(19*s - 2)/11
Factor -81*y**2 + 171*y - 67 + 27*y**3 - 16*y**3 - 14*y**3 + 54 - 74.
-3*(y - 1)**2*(y + 29)
Suppose -5470 = -18*m + 344. Suppose 0 = 12*s + 275 - m. Determine y, given that 0 - 16/13*y + 4/13*y**3 + 2/13*y**s - 8/13*y**2 = 0.
-2, 0, 2
Let t(m) = -10*m + 2442. Let c be t(244). Find a, given that 2/3*a**3 + 0 + 26/3*a - 28/3*a**c = 0.
0, 1, 13
Factor -21 + 1/4*n**2 + 2*n.
(n - 6)*(n + 14)/4
Let b(j) be the second derivative of -4*j**6/15 - 3*j**5 + 5*j**4/3 + 100*j**3 + 144*j**2 - 2842*j. Solve b(l) = 0 for l.
-6, -4, -1/2, 3
Let u = -61 + 35. Let d be 2*u*-1*(-24)/(-96). Factor 0*f**4 - 3*f**4 + d*f**3 - 10*f**3 + 6*f**2.
-3*f**2*(f - 2)*(f + 1)
Let p(h) be the third derivative of 14*h**3 + 152*h**2 + 0*h + 1/15*h**5 - 5/3*h**4 + 0. Determine k, given that p(k) = 0.
3, 7
Let r(b) be the third derivative of b**7/105 - 4*b**6/15 - b**5/5 + 154*b**4/3 + 605*b**3/3 + 18*b**2. Factor r(u).
2*(u - 11)**2*(u + 1)*(u + 5)
Let h(u) be the second derivative of -7*u**5/20 - 75*u**4/8 + 11*u**3 + 9*u**2 - 5*u + 1. Let o(j) be the first derivative of h(j). Factor o(n).
-3*(n + 11)*(7*n - 2)
Let x = 1137/212 - -35/159. Let f = x + -21/4. What is y in 1/6*y**2 - 1/6 + 1/3*y - f*y**3 = 0?
-1, 1/2, 1
Suppose 0 = 2*m - m + 6*m. Suppose 5*x = -2*y - m + 30, -5*x = 3*y - 35. Factor -f**3 + 10 + 20*f**2 + 3120*f - x*f**3 - 3145*f.
-5*(f - 2)*(f - 1)**2
Let m = 5 - 2. Let s(c) = -c**2 + 12. Let r be s(m). Factor d**5 + 7*d**3 + 4*d**2 + 5*d**4 - 5*d**3 + 4*d**3 + 2*d**r.
d**2*(d + 1)*(d + 2)**2
Let b = 1364505/4 - 341121. Let 9 + 3/4*m**2 - b*m = 0. Calculate m.
3, 4
Let m(r) be the first derivative of -r**6/21 + 36*r**5/35 - 33*r**4/14 - 968*r**3/21 + 441. What is h in m(h) = 0?
-4, 0, 11
Suppose 842 - 154 = 43*z. Let t(u) be the second derivative of 1/54*u**4 + 0 + z*u - 1/27*u**3 + 0*u**2. Suppose t(g) = 0. Calculate g.
0, 1
Let c(q) = -6*q - 35. Let i be c(-27). Suppose 82*d**2 - d**3 - i*d**2 - 34*d - 3375 - 641*d = 0. What is d?
-15
Let l(u) be the third derivative of 16*u**7/525 + 2*u**6/15 + 3*u**5/50 - 13*u**4/60 + 2*u**3/15 + 1018*u**2. Suppose l(y) = 0. Calculate y.
-2, -1, 1/4
Let b = -79 + 81. Suppose -5*l - 4 = -t + 3, -b*t + 28 = 4*l. Find a, given that 7*a**3 + 101*a**2 - 107*a**2 + 7*a**5 - 32*a**3 - t*a**4 = 0.
-1, -2/7, 0, 3
Let x = -1/752 + 6583/2256. Let d(m) be the third derivative of -1/12*m**5 - 245/6*m**3 - 19*m**2 + 0 + 0*m - x*m**4. Determine r, given that d(r) = 0.
-7
Suppose 4*t = 8*t - 8. Let l(p) = -6*p - p**2 + 5*p**2 - 2*p**t. Let q(r) = r**2 - 5*r + 1. Let o(w) = 3*l(w) - 4*q(w). Factor o(n).
2*(n - 1)*(n + 2)
Let f(r) = r**2 - 8*r - 7. Let d be f(10). Suppose -8*u = -d*u + 105. Factor h**2 - 16*h**2 + 17*h - h**2 - u*h.
-4*h*(4*h + 1)
Let o(n) be the first derivative of -5/3*n**3 + 0*n**4 + n**5 + 0*n**2 - 73 + 0*n. Find y, given that o(y) = 0.
-1, 0, 1
Let q(a) = 1282*a**3 - 2474*a**2 + 1206*a + 38. Let b(s) = s**3 + s**2 - s + 1. Let r(m) = -26*b(m) + q(m). Factor r(c).
4*(c - 1)**2*(314*c + 3)
Let k be (-55)/66 + 2 + -9. Let g = 619/30 + k. Factor -g - 1/5*o**4 - 12/5*o**3 - 96/5*o - 52/5*o**2.
-(o + 2)**2*(o + 4)**2/5
Let k(x) = -7*x**4 + 24*x**3 - 62*x**2 + 42*x - 6. Let i(t) = -12*t**4 + 48*t**3 - 125*t**2 + 84*t - 10. Let h(z) = -3*i(z) + 5*k(z). Solve h(w) = 0.
0, 1, 2, 21
Let c be (-10)/25 + -1 + 828/20. Factor 2*o**2 - o**2 - 8*o + 625 - c*o - 2*o.
(o - 25)**2
Suppose 12*n = -195 + 219. Suppose -4*q = 4*q - 4*q. Factor 0*d - d**3 + q - 4/3*d**4 - 1/3*d**5 + 0*d**n.
-d**3*(d + 1)*(d + 3)/3
Let i(c) = 2*c**4 + 35*c**3 - 315*c**2 + 559*c - 260. Let q(o) = 10*o**4 + 170*o**3 - 1574*o**2 + 2794*o - 1302. Let m(k) = -14*i(k) + 3*q(k). Factor m(t).
2*(t - 7)*(t - 1)**2*(t + 19)
Factor 1/3*z**2 + 0 - 1/3*z**4 - 1/3*z + 1/3*z**3.
-z*(z - 1)**2*(z + 1)/3
Let z = 6 - -1. Suppose -23*i + 11*i = -23*i. Factor -7*t**2 - 2 + i*t - 3*t + z*t**2 - t**2.
-(t + 1)*(t + 2)
Let t(f) = -f**3 + 2*f + f + 3 + 2*f**2 - 6*f**3 + 6*f**3. Let s be t(-1). Solve -2*k - s*k**2 - 2*k**3 - 1/2 - 1/2*k**4 = 0 for k.
-1
Let p = -2315 + 4226. Factor -1965*j - 16*j**4 - 2*j**2 + 2*j**5 + 2*j**2 + 36*j**3 + p*j.
2*j*(j - 3)**3*(j + 1)
Su