0. What is o?
-2, -1/2, 1
Let i(n) be the third derivative of -1/30*n**5 + 0*n - 1/75*n**6 - 1/30*n**4 - 192*n**2 + 0*n**3 - 1/525*n**7 + 0. Determine v so that i(v) = 0.
-2, -1, 0
Let s = -136 + 138. Suppose 3*a = 7*a - 8. Suppose -9*h**a + 3*h**2 + 0*h**s + h**2 + 5 = 0. What is h?
-1, 1
Suppose h - 7 = -2*h + l, 0 = -3*l + 6. Suppose h*u = -2*p - u + 2, 25 = p - 4*u. Let c + c**2 - c**3 - p - 8 + 0*c**3 + 16 = 0. What is c?
-1, 1
Let t(l) = -102*l - 199. Let v be t(-2). Let g(h) be the third derivative of 0*h - 1/120*h**6 + 1/12*h**v + 17*h**2 + 0 - 1/6*h**4 + 0*h**3. Factor g(w).
-w*(w - 4)*(w - 1)
Suppose -r = 4*i + i - 13, -r + i = -1. Find w such that 196*w + 15*w**r + 20*w**2 - 9*w**3 - 2*w**3 + 36*w**2 = 0.
-7, 0
Let a be (3/1)/6 + 73/2. Find s, given that a*s - 62*s - 28 + 35*s - s**2 + 3 = 0.
5
Let n(j) = 345*j**2 - 208*j + 46. Let x(c) = 172*c**2 - 104*c + 22. Let z be 0 + 7 - 176/44. Let d(a) = z*n(a) - 7*x(a). Find b such that d(b) = 0.
4/13
Suppose 0 = -15*i + 216 - 51. Suppose 0 = 2*a + 2*f - 10, -i*a = -14*a + 5*f - 1. Let 28/3*q**2 + 4/3*q**4 + 0 + 4*q + 20/3*q**a = 0. What is q?
-3, -1, 0
Let l(s) be the third derivative of 0 + 8*s**2 - 1/448*s**8 + 0*s**3 + 0*s**4 - 13/280*s**7 + 0*s**5 + 0*s - 3/40*s**6. Suppose l(n) = 0. What is n?
-12, -1, 0
Let a(l) = l**3 - 6*l**2 + 7*l. Let c be a(5). Suppose -11*u + c*u = -4. Factor 5*y**u + 69*y**2 - 151*y**2 + 77*y**2.
5*y**2*(y - 1)*(y + 1)
Suppose 36 = 2*l - g, 0 = -3*l - 3*g + 10 + 26. Let i(h) = h**2 + h + 2. Let p be i(-4). Find a, given that p*a**2 + l*a - 3*a**3 - 28*a - 5*a**2 + 6*a = 0.
0, 1, 2
Let a = 32139 - 160599/5. Factor -33/5*g**5 + 126/5*g**4 - 6/5 - 9/5*g - 174/5*g**3 + a*g**2.
-3*(g - 1)**4*(11*g + 2)/5
Suppose 0*v - 9*v + 36 = 0. Let z(q) = -3*q + 15. Let t be z(v). Factor -t*k**2 - k**3 - 2*k - 2*k**2 - 2*k + 0*k.
-k*(k + 1)*(k + 4)
Factor -m**2 + 9/2*m**5 + 0*m + 8*m**4 + 0 + 5/2*m**3.
m**2*(m + 1)**2*(9*m - 2)/2
Let j be ((-4)/3)/(64/12 + -6). Suppose 1704*d**3 - 1701*d**3 + d - 4*d**2 + 2*d**5 - 3*d**5 - 5*d + j*d**4 = 0. Calculate d.
-1, 0, 2
Let g = 143 - 80. Suppose 105 - g*y - 133*y**2 + 138*y**2 + 173*y = 0. Calculate y.
-21, -1
Let g = -1092/5 - -220. Let s = -19/15 + g. Find t, given that -1/3 - s*t**2 + 2/3*t = 0.
1
Let o(a) = -a**2 - 17020*a + 68098. Let b be o(4). Factor 2/3*y**4 + 0*y**2 + 0 + b*y**3 - 8/3*y.
2*y*(y - 1)*(y + 2)**2/3
Let b(c) = 8*c**3 + 371*c**2 - 1561*c + 1149. Let r(a) = -26*a**3 - 1112*a**2 + 4696*a - 3448. Let u(y) = 10*b(y) + 3*r(y). Find o, given that u(o) = 0.
-191, 1, 3
Let a(x) be the third derivative of -x**6/480 + x**5/80 + 61*x**4/96 - 21*x**3/8 + 6*x**2 - x - 35. Factor a(w).
-(w - 9)*(w - 1)*(w + 7)/4
Let c(m) be the first derivative of 0*m + 17/2*m**2 + 1/3*m**3 - 222. Suppose c(d) = 0. What is d?
-17, 0
Let c(i) be the second derivative of -i**6/315 + 33*i**5/70 - 400*i**4/21 - 2500*i**3/63 + 12*i + 28. Solve c(p) = 0 for p.
-1, 0, 50
Suppose -74*f + 26 = -61*f. Let 370*a**5 - 5*a + 4*a**f - 9*a + 16*a**3 - 8 - 372*a**5 + 4*a**4 = 0. Calculate a.
-1, 1, 4
Let f(v) be the second derivative of 78*v - 5/2*v**4 + 3/2*v**3 - 27/20*v**5 + 0*v**2 + 0 + 2/5*v**6. Factor f(z).
3*z*(z - 3)*(z + 1)*(4*z - 1)
Let s be 24/(-10)*(-985)/5319. Let k(g) be the first derivative of 4/45*g**5 + 0*g**3 - 4/9*g - 2/9*g**4 + s*g**2 + 14. Solve k(h) = 0.
-1, 1
Let n(y) = -y**3 + 10*y**2 - 89*y + 86. Let g(r) = r**3 - 3*r**2 - 1. Let h(k) = -10*g(k) - 5*n(k). Let h(z) = 0. Calculate z.
-12, 1, 7
Let z be ((-5224)/12)/((-62)/(-93)). Let i = z + 655. Determine m so that -2/11 - 4/11*m - 2/11*m**i = 0.
-1
Let m = -338281/4 + 84571. Suppose -21/4*q + 3/2*q**3 - 5/2*q**2 - 9/4 - 1/4*q**5 + m*q**4 = 0. What is q?
-1, 3
Let q(u) be the first derivative of -4*u**3/3 + 145*u**2/2 + 21*u + 217. Let b(r) = -2*r**2 + 73*r + 9. Let v(x) = -14*b(x) + 6*q(x). Solve v(g) = 0 for g.
0, 38
Factor -117/2 - 3/2*z + 3/2*z**3 + 117/2*z**2.
3*(z - 1)*(z + 1)*(z + 39)/2
Let w(b) = -73*b**2 - 42*b + 115. Let z(u) = 201*u**2 + 125*u - 347. Let n(c) = 11*w(c) + 4*z(c). Factor n(a).
(a - 3)*(a + 41)
Let m(t) = -t**2 + 15*t - 9. Let i be m(14). Let g(q) be the first derivative of 0*q - 2/3*q**6 - 3 + 0*q**i + 0*q**3 + 2*q**4 - 2*q**2. Factor g(a).
-4*a*(a - 1)**2*(a + 1)**2
Let h(a) be the third derivative of a**5/120 + 25*a**4/12 + 97*a**3/4 - 103*a**2 - 2. Factor h(m).
(m + 3)*(m + 97)/2
Suppose -6*j - 270 = -0*j. Let v = j - -48. Factor -3*w - 2*w + 2*w**2 + 6*w - w**v + 2*w.
-w*(w - 3)*(w + 1)
Find u such that -6*u + 14/3*u**3 + 0 + 12*u**2 = 0.
-3, 0, 3/7
Let y(q) = -20*q + 200. Let a be y(28). Let t be (-3)/4 - ((-1810)/a + -6). What is p in t*p**2 + 4/9*p + 2/9 = 0?
-1
Factor 11/2*g - 4 - 1/4*g**3 - 5/4*g**2.
-(g - 2)*(g - 1)*(g + 8)/4
Let f(k) be the first derivative of k**5 + 795*k**4/2 + 127985*k**3/3 + 125610*k**2 + 124820*k - 864. Determine u so that f(u) = 0.
-158, -1
Let u = 299 - 296. Factor -40*o + 2266*o**2 + 10*o - 2291*o**2 + 5*o**3 + 0*o**u.
5*o*(o - 6)*(o + 1)
Let x = 102639/2 - 49890. Let d = x + -1429. Factor -2*l**3 + 0 + 3/4*l**2 + 3/4*l**4 + d*l.
l*(l - 2)*(l - 1)*(3*l + 1)/4
Let r(a) = -2*a**3 + 2*a + 6. Let m(w) = 3*w**3 - 20*w**2 - 97*w - 138. Let s(o) = -m(o) - 2*r(o). Factor s(x).
(x + 3)**2*(x + 14)
Let d be ((-15)/9*-4)/(2/(-6)). Let g be ((6/5)/1)/((-6)/d). Let 2*n + 15*n**3 - 4*n**4 + 2*n**5 - g*n**2 - 4*n**4 - 3*n**3 - 4*n**2 = 0. What is n?
0, 1
Let z be (-10)/1*(-18)/(-10). Let u be (0 - 2)*27/z. Suppose 3/7*d**5 + 18/7*d**3 + 6/7*d**2 + 9/7 - u*d - 15/7*d**4 = 0. What is d?
-1, 1, 3
Suppose -310*v + 730227 = 725887. Factor -v + 24/5*g - 2/5*g**2.
-2*(g - 7)*(g - 5)/5
Let t(h) = -42*h + 42. Let a be t(1). Let o(i) be the second derivative of 8*i + 1/56*i**7 + 0 - 1/20*i**6 - 1/8*i**3 + a*i**2 + 1/8*i**4 + 0*i**5. Factor o(z).
3*z*(z - 1)**3*(z + 1)/4
Let y(k) be the second derivative of k**6/15 - 149*k**5/10 + 1225*k**4 - 117500*k**3/3 - 125000*k**2 - 2736*k. What is x in y(x) = 0?
-1, 50
Let v(g) = 34*g**3 + 10*g**2 - 2*g - 13. Let h(c) = 41*c**3 + 11*c**2 - 2*c - 14. Let m(n) = 5*h(n) - 6*v(n). Let m(d) = 0. What is d?
-1, 2, 4
Let w be 2/(-2)*((-361)/120 + 3). Let b(f) be the third derivative of 0 + 1/6*f**4 + 0*f**3 + 0*f + w*f**5 + 16*f**2. Factor b(z).
z*(z + 8)/2
Let t(m) be the second derivative of 11*m**5/50 + 32*m**4/15 + 76*m**3/15 - 16*m**2/5 + 1395*m. Let t(d) = 0. What is d?
-4, -2, 2/11
Let f(p) be the first derivative of 10*p**2 - 40/3*p + 1/3*p**5 - 10/9*p**3 + 7 - 5/4*p**4. Factor f(y).
5*(y - 2)**2*(y - 1)*(y + 2)/3
Let z(i) be the second derivative of -i**5/10 - 50*i**4 + 201*i**3 - 302*i**2 + 540*i + 2. Let z(t) = 0. Calculate t.
-302, 1
Let n = -1193/1947 - -205/177. Solve 8/11*a**3 + n*a**2 + 0 + 0*a = 0.
-3/4, 0
Factor -37/4*y**2 + 73/4*y**3 + 0 - 1/4*y**5 + 0*y - 35/4*y**4.
-y**2*(y - 1)**2*(y + 37)/4
Let z(b) be the second derivative of b**5/80 - 17*b**4/48 + 19*b**3/6 - 15*b**2/2 - 124*b + 4. Factor z(q).
(q - 10)*(q - 6)*(q - 1)/4
Let x(g) be the first derivative of -g**4/18 + 356*g**3/27 - 527*g**2/9 + 700*g/9 - 1368. Factor x(o).
-2*(o - 175)*(o - 2)*(o - 1)/9
Let y(u) be the first derivative of -10/27*u**3 - 4/27*u**6 + 1/9*u**2 + 71 + 2/9*u**5 + 0*u + 1/6*u**4. Determine g, given that y(g) = 0.
-1, 0, 1/4, 1
Let b = 10530 + -21059/2. Let l(t) be the second derivative of -1/36*t**4 + 1 + 0*t**2 - 23*t - b*t**3. What is n in l(n) = 0?
-9, 0
Let n(t) = -1236*t + 8654. Let b be n(7). Let v(l) be the first derivative of -1/6*l**3 - 1/4*l**b - 28 + 1/8*l**4 + 1/2*l. Factor v(k).
(k - 1)**2*(k + 1)/2
Suppose -s = -2*s + 2. Factor 12*q + 3*q**s + q - 35*q + q.
3*q*(q - 7)
Let h(n) be the first derivative of -2*n**6/9 - 12*n**5/5 + 17*n**4/3 + 84*n**3 - 392*n**2/3 + 2813. Find p, given that h(p) = 0.
-7, 0, 1, 4
Let f(k) = 17*k + 20*k - 10*k - 21*k**2 - 43 - k**3 + 17*k. Let q be f(-23). Suppose 2/13*c**4 + 0 + 4/13*c**2 + 0*c + 6/13*c**q = 0. Calculate c.
-2, -1, 0
Let r(a) = -10*a**2 + 275*a - 215. Let s(v) = v**2 - 34*v + 27. Let o(c) = -3*r(c) - 25*s(c). Factor o(k).
5*(k - 1)*(k + 6)
Let d(c) be the third derivative of 1/3*c**4 + 1/4*c**3 + 3*c**2 + 0 + 8/45*c**5 - 11*c. Find m such that d(m) = 0.
-3/8
Let u = -65501/18 + 3639. Let b(z) be the first derivative of -2/3*z + 6 + 0*z**2 + u*z**3. Suppo