 0, 3
Let n(a) = -a**4 - 4*a**3 + 3. Let l(i) = -492*i**3 + 19200*i**2 + 9. Let h(j) = -l(j) + 3*n(j). Solve h(y) = 0 for y.
0, 80
Let k(h) = h - 31. Let o(t) = t**2 + 22*t + 271. Let n(d) = -44*k(d) - 4*o(d). Factor n(p).
-4*(p - 2)*(p + 35)
Let r(v) = v**3 + 6*v**2 - 14*v - 1. Let m(t) = -34*t + 206. Let x be m(6). Let w be r(x). Solve 7/5*p**w + 0*p + 0 + 2/5*p**4 + 2/5*p**2 - 3/5*p**5 = 0.
-1, -1/3, 0, 2
Let z = -1066712 + 20272330/19. Determine i so that -z*i**2 - 392/19*i - 8/19 = 0.
-2/49
Let i = -16957/216 + 2150/27. Find l, given that i*l**2 + 0 - 1/4*l + 1/4*l**3 - 9/8*l**4 = 0.
-1, 0, 2/9, 1
Find g such that 1/3*g**2 + g**3 - 1/3*g**5 - 1/3*g**4 + 0 - 2/3*g = 0.
-2, -1, 0, 1
Let f(d) = -d - 6. Let u be f(-11). Suppose -6 - 9 = -u*l. Factor -3*z**5 - 4*z**l + 0*z**5 + 3*z**4 + 10*z**3.
-3*z**3*(z - 2)*(z + 1)
Let o(l) be the first derivative of 44 + 15/2*l**4 - 3*l**3 + 9*l - 15*l**2. Solve o(r) = 0.
-1, 3/10, 1
Let p(j) be the third derivative of j**6/660 - 15*j**5/22 + 1064*j**4/11 - 12544*j**3/33 + 27*j**2 - 5. Let p(i) = 0. What is i?
1, 112
Let h = -233 + 269. Factor 21*o - 43*o + h*o**2 - 35*o**2 - 23.
(o - 23)*(o + 1)
Let g(b) = 3*b**3 + 406*b**2 - 40802*b + 6. Let x(h) = 5*h**3 + 407*h**2 - 40801*h + 9. Let q(d) = 15*g(d) - 10*x(d). Let q(m) = 0. Calculate m.
0, 202
Suppose 771*d**2 + 510*d + 459*d**3 + 951*d**2 + 3*d**5 + 81*d**4 - 825*d**2 - 6*d**4 = 0. What is d?
-17, -5, -2, -1, 0
Suppose -3*g - p = -262 + 258, -2*g - 2*p = -8. Let d(m) be the first derivative of -27/2*m**2 + 6*m**3 - 3/4*m**4 + g*m - 46. Find q, given that d(q) = 0.
0, 3
Let k(a) be the second derivative of -1/6*a**4 + 82*a + 4/5*a**2 + 4/15*a**3 + 0 + 1/105*a**7 + 1/75*a**6 - 1/10*a**5. Solve k(l) = 0.
-2, -1, 1, 2
Let n(d) be the second derivative of -8 - 1/11*d**3 + 0*d**2 + 4*d + 1/110*d**5 + 1/33*d**4. Determine i so that n(i) = 0.
-3, 0, 1
Let r(k) be the third derivative of k**7/10080 + 7*k**6/2880 - k**5/60 + 5*k**4/3 - 8*k**2 - 2. Let u(x) be the second derivative of r(x). Solve u(j) = 0 for j.
-8, 1
Let c(g) be the first derivative of g**5/10 + g**4/4 - 10*g**3/3 + 6*g**2 - 72. Suppose c(h) = 0. What is h?
-6, 0, 2
Let i(l) be the third derivative of l**8/28 + 2*l**7/105 - 13*l**6/15 - 4*l**5/3 + 4*l**4 - 51*l**2 + 2*l. Solve i(z) = 0 for z.
-2, 0, 2/3, 3
Suppose -51*v - 13 = -5*y - 52*v, -v = 2*y - 4. Determine m so that 33*m**2 - m**y - 45*m**2 - 4*m - 7*m = 0.
-11, -1, 0
Let o be (15 - 17) + (-48)/(-2). Suppose 0 = -2*m - o + 112. Determine z, given that 25*z**2 + 10*z**2 - 60*z**3 - 15*z**2 + m*z**4 = 0.
0, 2/3
Suppose 12*w - w + 1760 = 0. Let o be (-8)/(w/125) + -5. Solve -1/2*t**5 + t**2 + t - 1/2*t**3 + 1/4 - o*t**4 = 0 for t.
-1, -1/2, 1
Let y(p) be the first derivative of -63*p**4/20 + 58*p**3/15 + p**2/2 + 2262. Factor y(l).
-l*(l - 1)*(63*l + 5)/5
Factor -413526 - 2/9*x**3 - 82*x**2 - 10086*x.
-2*(x + 123)**3/9
Let s be (-6)/4 - 12764/(-8). Let o = s + -27090/17. Factor -o - 42/17*t**2 + 98/17*t**3 - 48/17*t.
2*(t - 1)*(7*t + 2)**2/17
Let r = 821 - 818. Solve -99 + 10*k**2 - k**4 - 3*k**2 + 87 + 4*k + 9*k**2 - r*k**2 - 4*k**3 = 0.
-6, -1, 1, 2
Let w(f) be the third derivative of -f**7/105 - f**6/15 + 19*f**5/30 - 7*f**4/6 + 591*f**2. Determine z so that w(z) = 0.
-7, 0, 1, 2
Let d(t) be the third derivative of -t**6/120 + 221*t**5/30 - 4033*t**4/2 - 16428*t**3 - 6*t**2 + t + 228. Factor d(z).
-(z - 222)**2*(z + 2)
Let i = -307328 + 307330. Determine g so that 9/7*g + 18/7*g**4 + 39/7*g**3 - 6*g**i + 0 = 0.
-3, 0, 1/3, 1/2
Suppose -56*a = -61*a + 8650. Suppose -381*x**2 - a - 11*x**3 - 4*x**3 - 6825*x - 475 + 0*x**3 - 254*x**2 = 0. Calculate x.
-21, -1/3
Suppose 41*v = 113 - 31. Let -173*x + 45*x**3 - 162*x - 40*x**3 - 137 - 17*x**2 - 33 - 143*x**v = 0. What is x?
-1, 34
Let n = -11213782/7 - -1601969. Factor n*l**2 - 23/7*l + 6.
(l - 21)*(l - 2)/7
Let z be 5 - (624832/(-260) - 11). Factor 1372/5*a**3 + z*a + 7056/5*a**2 + 6912/5.
4*(7*a + 12)**3/5
Let s(l) = 4*l**2 + 157*l - 295. Let i(x) = -3*x**2 - 78*x + 147. Suppose 0 = -k - k - 10. Let b(o) = k*i(o) - 3*s(o). Let b(c) = 0. Calculate c.
2, 25
Let a(q) be the third derivative of -q**5/80 + 59*q**4/32 + 15*q**3/2 + 3*q**2 + 189. Find b such that a(b) = 0.
-1, 60
Let -2/7*q**2 + 0 - 888/7*q = 0. What is q?
-444, 0
Let x(t) = 10*t**3 - 266*t**2 + 508*t - 270. Let g(u) = 18*u**3 - 529*u**2 + 1015*u - 537. Let v(a) = -6*g(a) + 11*x(a). Factor v(o).
2*(o - 1)**2*(o + 126)
Let g be (3/(-21)*(-41)/((-164)/(-126)))/6. Let -3*a + 3 - g*a**2 + 3/4*a**3 = 0. Calculate a.
-2, 1, 2
Suppose 0 = -4*y - 3*v + 4*v + 3 + 111, 0 = 2*v - 28. Factor -4/3*f**3 + y + 16/3*f - 8*f**2.
-4*(f - 2)*(f + 2)*(f + 6)/3
Let r be 11 + ((-4)/(-8))/((-10)/140). Solve -20/7*l**3 + 32/7 - 100/7*l**r - 176/7*l + 264/7*l**2 = 0 for l.
-2, 2/5, 1
Let b be (4/(-5))/((-25)/250). Suppose -32*u - b = -36*u. Factor 0 + 1/3*k**3 + 0*k**u + 0*k - 1/2*k**4.
-k**3*(3*k - 2)/6
Factor -20/3*b + 1/3*b**3 - 16 + 4/3*b**2.
(b - 4)*(b + 2)*(b + 6)/3
Let p(v) be the third derivative of -7*v**5/150 + 369*v**4/4 + 1582*v**3/15 - 59*v**2 - v - 1. Factor p(k).
-2*(k - 791)*(7*k + 2)/5
Let t = 1374 - 1370. Suppose -144/7*n + 0 - 124/7*n**3 + 10/7*n**t + 408/7*n**2 = 0. What is n?
0, 2/5, 6
Let i(x) = -x**4 + 69*x**3 + 175*x**2 - 313*x + 320. Let z(y) = -2*y**4 + 206*y**3 + 526*y**2 - 990*y + 960. Let l(r) = 14*i(r) - 5*z(r). Factor l(c).
-4*(c - 1)**2*(c + 8)*(c + 10)
Solve -9/5*h**3 + 102/5 - 138/5*h**2 + 261/5*h = 0.
-17, -1/3, 2
Let p(o) be the third derivative of o**6/60 - 69*o**5/10 + 3861*o**4/4 - 29403*o**3 + 638*o**2 - 1. Factor p(k).
2*(k - 99)**2*(k - 9)
Let w(h) be the second derivative of h**5/4 + 25*h**4/12 - 85*h**3/6 - 105*h**2/2 + 2*h + 12. Let w(b) = 0. What is b?
-7, -1, 3
Let f(s) be the first derivative of 5*s**3/12 - 145*s**2/8 - 75*s/2 + 1995. Factor f(n).
5*(n - 30)*(n + 1)/4
Let v be 101526/3*(6 + 2290/(-380)). Let f = 891 + v. Solve 0 - f*s**3 + 2/19*s**5 - 8/19*s**2 + 2/19*s**4 + 0*s = 0.
-2, -1, 0, 2
Solve -4/3*s**2 - 724/3*s - 1432/3 = 0 for s.
-179, -2
Suppose -5*z + 160*w - 163*w + 23 = 0, 14 = 3*z + 2*w. Let o(a) be the second derivative of 11*a + 90*a**3 + 0 + 1/4*a**5 + 540*a**2 + 15/2*a**z. Factor o(h).
5*(h + 6)**3
Solve -1/4*m**4 - 95/2*m**3 + 291*m**2 - 586*m + 392 = 0 for m.
-196, 2
Suppose 0 = -5*l - 6*n + 10*n - 221, -4*l = 5*n + 185. Let y be (-2 + 1 + (-51)/l)*1. Find g such that y*g - 2/15*g**3 - 2/15 + 2/15*g**2 = 0.
-1, 1
Suppose 0*k + 2*k = 0. Suppose -3*r = -k*i - 2*i - 12, -6 = 3*r + 4*i. Factor 2*m + m - 3*m**4 - 3*m**3 - 7*m**2 + 10*m**r.
-3*m*(m - 1)*(m + 1)**2
Let k = 38028 - 190136/5. Determine q so that 3/5*q**5 - 11/5*q**3 + 8/5*q + 3/5*q**2 + 1/5*q**4 - k = 0.
-2, -1, 2/3, 1
Let d(m) be the third derivative of m**8/84 - 8*m**7/105 - 3*m**6/5 - 4*m**5/3 - 7*m**4/6 - 826*m**2. Factor d(n).
4*n*(n - 7)*(n + 1)**3
Let n be 280/126*66/132. Factor -4/3 + n*f**2 - 26/9*f.
2*(f - 3)*(5*f + 2)/9
Let b(p) = p**2 - 47*p + 194. Let f be b(42). Let g = 80/3 + f. Factor 128/3 + g*a + 2/3*a**2.
2*(a + 8)**2/3
Suppose -66*p = -14*p + 52. Let q be (p - -2 - (-45)/21) + 2. Factor 12/7 + 15/7*t**3 + 9/7*t**2 - q*t.
3*(t - 1)*(t + 2)*(5*t - 2)/7
Let k(n) be the third derivative of 0 - 1/160*n**6 + 0*n**4 - 5*n**2 - 1/80*n**5 + 0*n**3 + n. Factor k(j).
-3*j**2*(j + 1)/4
Factor -a**2 + 2*a**2 + 279*a + 539*a + 200*a + a**2.
2*a*(a + 509)
Let t(z) = -z**2 - 3*z + 11. Let a be t(-5). Suppose -3 = -2*g + a. Solve 45*w - 3*w**2 + 10 + 10*w**g + 13*w**2 = 0 for w.
-2, -1/4
Suppose -5*z - 5*b = -785, 2*z - 317 = -b - 0. Let v(t) be the second derivative of 40*t + 0 + 1/6*t**6 - 80/3*t**3 + t**5 - 5*t**4 + z*t**2. Factor v(i).
5*(i - 2)**2*(i + 4)**2
Let l(u) be the second derivative of 1/2*u**4 - 1/10*u**5 + 4/3*u**3 - 10*u - 12*u**2 - 1. Factor l(w).
-2*(w - 3)*(w - 2)*(w + 2)
Let j = -1088 - -1094. Let a be ((-9)/3)/(-7 - (-12 + j)). Suppose -21/5*o**2 - 3/5*o + 4/5 - 3/5*o**4 - 17/5*o**a = 0. What is o?
-4, -1, 1/3
Let o(b) = -15*b**3 - 105*b**2 + 363*b + 213. Let y(c) = -7*c**3 + 2*c**2 + 1. Let v(h) = o(h) - 3*y(h). Solve v(l) = 0.
-1/2, 5, 14
Suppose -3*o = -2*c + 19, 0 = 4*c + 3*o + 2 - 13. Suppose c = 3*z - 2*z. Suppose 4 - 23*k**2 + z*k**3 - 2*k**2 + 15*k + 41 = 0. Calculate k.
-1, 3
Let -253/4*m**2