(i) = 0?
-9, -2, -1
Let n(r) be the first derivative of 0*r + 298 + 1/21*r**6 + 0*r**2 - 8/35*r**5 + 3/14*r**4 + 0*r**3. Suppose n(y) = 0. Calculate y.
0, 1, 3
Suppose 5*b - 108 = -o - 3, 5*o + 47 = b. Let q(u) = 5*u**2 - 1. Let c be q(1). Solve 25*d**c - 54*d**3 + b*d**4 + 15*d**3 - 44*d**4 = 0.
0, 13
Suppose -3*q = -9*q + 12. Factor -y**2 - 65*y - 14*y**q + 8*y**2 + 2*y**2.
-5*y*(y + 13)
Let d = 1805 - 1802. Let o(l) be the first derivative of -10*l**2 - 4/3*l**d + 11 - 12*l + l**4. Factor o(x).
4*(x - 3)*(x + 1)**2
Let c = -3/33605 + 436874/100815. Determine i, given that c*i + i**3 + 7/3 - 23/3*i**2 = 0.
-1/3, 1, 7
Suppose 720*h = 722*h - 724. Find x such that 222 + 5*x**2 - h*x + 657*x + 68 = 0.
-58, -1
Suppose -3*k + 2*l = -21, 0 = 5*k - 103*l + 107*l + 9. Let y(o) be the second derivative of 0*o**2 - 1/24*o**k - 1/48*o**4 + 0 - 28*o. Factor y(u).
-u*(u + 1)/4
Let o(w) be the second derivative of -13/57*w**3 - 7/190*w**5 - 1/285*w**6 - 5/38*w**4 + 26*w - 1 - 4/19*w**2. Factor o(r).
-2*(r + 1)**3*(r + 4)/19
Suppose 415/2*c**2 - 219*c - 125/2*c**3 + 72 + 3/2*c**5 + 1/2*c**4 = 0. What is c?
-8, 2/3, 1, 3
Let l(c) be the first derivative of -325/4*c**4 + 270*c + 345*c**3 - 1215/2*c**2 + 104 + 7*c**5. Solve l(q) = 0 for q.
2/7, 3
Let u(v) = 10*v**2 - 69*v - 6. Let o be u(7). Let b(z) = -4 - 20*z**5 - 4*z + z**4 + 4*z. Let x(a) = a**4 + 1. Let w(d) = o*b(d) + 4*x(d). Factor w(k).
-5*k**4*(4*k - 1)
Let o(b) be the third derivative of 4*b**7/105 + 3*b**6/10 + 11*b**5/40 - 121*b**4/48 + 1194*b**2. What is l in o(l) = 0?
-11/4, 0, 1
Let d(b) be the first derivative of -25*b**6/12 - 24*b**5/5 + 38*b**4 - 187*b**3/3 + 153*b**2/4 - 5*b + 2244. What is v in d(v) = 0?
-5, 2/25, 1
Let c be (-12)/20 + ((-3)/(-5) - 0). Suppose 0*o + 135 = 3*t + 4*o, c = -3*o. Factor -5*s**2 + 20*s + 15 + 35*s - t*s.
-5*(s - 3)*(s + 1)
Let m be ((-112)/364)/((-4)/39). Factor 0 - 26/9*i**2 + 2/9*i**4 - 10/9*i**m - 14/9*i.
2*i*(i - 7)*(i + 1)**2/9
Let k(o) be the first derivative of 2*o**5/5 - 7*o**4 - 50*o**3/3 + 158*o**2 - 240*o + 169. Find y, given that k(y) = 0.
-4, 1, 2, 15
Factor 0 + 56*r**2 - 2/5*r**3 - 822/5*r.
-2*r*(r - 137)*(r - 3)/5
Let z(f) = -17*f**2 - 26*f - 11. Let x(p) = -4*p**2 - 7*p - 3. Suppose 0 = -6*u + 14*u - 72. Let n(q) = u*x(q) - 2*z(q). Factor n(v).
-(v + 5)*(2*v + 1)
Suppose -2718*i + 4328 + 3013 + 3531 = 0. Factor -1/3*h**5 + 7/3*h**i + 0*h**2 + 0 + 0*h + 0*h**3.
-h**4*(h - 7)/3
Let v(p) be the first derivative of -p**4/20 - 6*p**3/5 + 169*p**2/10 - 30*p - 13547. Factor v(z).
-(z - 6)*(z - 1)*(z + 25)/5
Let l(d) = -3*d**2 + 30*d + 33. Let w(b) be the second derivative of b**4/12 - 5*b**3/2 - 8*b**2 + b + 2. Let z(j) = -2*l(j) - 5*w(j). Factor z(i).
(i + 1)*(i + 14)
Let w(a) be the third derivative of 0*a + 0 + 19/30*a**4 - 15*a**2 + 37/15*a**3 + 1/150*a**5. Factor w(p).
2*(p + 1)*(p + 37)/5
Let j(k) be the first derivative of k**4/10 - 122*k**3/15 + 1294. Solve j(u) = 0 for u.
0, 61
Let w = -267 + 276. Find y, given that -23 + w*y**2 + 3 + 6*y**2 - 5*y**3 = 0.
-1, 2
Find o such that 7*o + 11*o**3 - 17*o**3 + 1505*o**4 + 15 - 22*o**2 - 1498*o**4 - o**5 = 0.
-1, 1, 3, 5
Let l = -24234 + 24240. Let h(s) be the first derivative of 21/2*s**2 + l*s - 16 + 5*s**3. Determine i, given that h(i) = 0.
-1, -2/5
Let u(z) be the third derivative of 1/30*z**6 - 2/105*z**7 - 1/84*z**8 + 0*z + 0*z**4 + 0*z**3 + 2 + 3*z**2 + 1/15*z**5. Let u(d) = 0. What is d?
-1, 0, 1
Factor 1/3*v**3 - 1625/3 - 625/3*v - 55/3*v**2.
(v - 65)*(v + 5)**2/3
Suppose -8*y = -217 + 153. Let f(i) be the third derivative of 0*i - 1/40*i**5 - y*i**2 + 0*i**3 + 0 + 1/8*i**4. Factor f(z).
-3*z*(z - 2)/2
Suppose 18*z = 13*z + 1200. Solve z*t + 2*t**3 + 0*t**2 + 17*t**2 - 288 + 29*t**2 = 0.
-12, 1
Let 105*d**2 - 497 - 80*d + 243 + 269 = 0. What is d?
1/3, 3/7
Let i(k) = -20*k**2 - 172*k + 2. Let p be i(-10). Let u = p + 281. Factor 18/5*o**2 + 0 + 0*o - 2/5*o**u.
-2*o**2*(o - 9)/5
Suppose 3731*u - 24656 = -2433*u. Solve -1/5*z**u + 4/5*z**2 - 32/5*z + 8/5*z**3 + 0 = 0 for z.
-2, 0, 2, 8
Let k(v) be the second derivative of v**6/216 + v**5/90 - v**4/72 - v**3/6 + 10*v**2 - 49*v. Let t(j) be the second derivative of k(j). Factor t(w).
(w + 1)*(5*w - 1)/3
Let l(r) = 15*r**3 + r**2 - 589*r + 4. Let y be l(0). Factor -1/11*m**y + 7/11*m**2 + 0 - 4/11*m - 2/11*m**3.
-m*(m - 1)**2*(m + 4)/11
Let t(j) = -j**3 - 12*j**2 - 24*j - 88. Let z be t(-19). Suppose -2885*h**2 + z*h**2 - 9*h**3 + 4*h**3 - 5*h = 0. Calculate h.
0, 1
Let z(i) = 5*i - 13. Let n be z(3). Suppose 212 = n*b - 120. Determine q so that 3*q**4 + q**5 + q**2 - b + 3*q**3 + 166 = 0.
-1, 0
Let m = -393379/6 - -65564. Factor -1/3*j**2 - 1/3 + m*j.
-(j - 2)*(2*j - 1)/6
Factor -2*c**3 + 23/2*c**2 - 45/2 - 9*c.
-(c - 3)*(c + 1)*(4*c - 15)/2
Let 289*x**3 - 422337 - 5550*x**2 - 164*x**3 + 82140*x + 17113 = 0. What is x?
74/5
Let z(b) = 148*b**2 - 2416*b - 48. Let n(i) = -28*i**2 + 483*i + 9. Let y(j) = -16*n(j) - 3*z(j). Determine q so that y(q) = 0.
0, 120
Let m(j) = j**2 + 26*j - 1053. Let b be m(22). Let n(i) be the first derivative of 3/4*i**2 - 11 - 1/2*i - 1/3*i**b. Factor n(h).
-(h - 1)*(2*h - 1)/2
Solve 12 - 499*g**2 + g**4 + 62*g - g**5 - 22*g + 21*g**3 + 190*g**2 + 156*g**2 + 200*g**2 = 0 for g.
-2, -1, 6
Let m(s) be the second derivative of -s**9/68040 + s**8/7560 + s**4/6 - 13*s**3/3 + s - 4. Let o(r) be the third derivative of m(r). Factor o(i).
-2*i**3*(i - 4)/9
Let r = 33/1999 + 315611/13993. Solve -40/7 + 184/7*p + 2*p**3 - r*p**2 = 0 for p.
2/7, 1, 10
Factor 25/9*v**2 + 500/9 - 200/9*v - 1/9*v**3.
-(v - 10)**2*(v - 5)/9
Suppose -2*m - 5*m + 12969 - 12981 - m**2 = 0. Calculate m.
-4, -3
Solve -122/3*c**3 - 10*c**4 - 70/3*c - 4/3 - 158/3*c**2 = 0 for c.
-2, -1, -1/15
Let b(o) be the first derivative of -4*o**3 + 246*o**2 - 5043*o - 1789. Suppose b(q) = 0. Calculate q.
41/2
Let v = -3280 + 3284. Let k(w) be the third derivative of 1/24*w**6 + 0*w - 10/3*w**3 - 35/24*w**v + 0 - 1/6*w**5 - 9*w**2. Factor k(o).
5*(o - 4)*(o + 1)**2
Let q(g) be the second derivative of -g**4/12 + 6*g**3 - 17*g**2 - 100*g. Let o be q(35). Determine l so that 3/2*l - 3/2*l**3 - 1/2*l**4 + o - 1/2*l**2 = 0.
-2, -1, 1
Let l be (-2754)/51*((-2)/(-3) + -1). Factor -3 - l*j**2 + 48*j - 3*j**4 + 12*j**3 - 12*j - 12*j - 12*j.
-3*(j - 1)**4
Let g = -64 - -68. Suppose 4*m = -4*c - g, -4*m + 2 = 5*c + 3. Let 2*z**3 - 79*z**2 - c*z**3 + 81*z**2 = 0. Calculate z.
0, 2
Let f(i) be the first derivative of -i**7/1575 - i**6/450 + i**4/90 + i**3/45 + 69*i**2/2 - 80. Let l(y) be the second derivative of f(y). Factor l(n).
-2*(n - 1)*(n + 1)**3/15
Let h(k) be the first derivative of k**4 + 1340*k**3 + 506016*k**2 + 1008016*k + 4713. Determine u, given that h(u) = 0.
-502, -1
Solve -10 + 50 + 8*u**4 + 19*u**3 + 2*u**4 + 22*u**2 + 116*u + 76*u**2 - 13*u**4 = 0.
-2, -1, -2/3, 10
Suppose 54*w = 79*w - 100. Let r be (4 + -3)*4 - w. Solve r + 4/3*y - 26/3*y**2 = 0.
0, 2/13
Suppose -14*s + 3*b + 10 = -12*s, 5*s + 13 = -2*b. Let w be -10*s/35*3. Let -w - 8/7*h - 2/7*h**2 = 0. Calculate h.
-3, -1
Suppose -7*g + 95*g = -6*g - 24*g. Determine i so that 3/7*i**4 + g + 6/7*i + 3/7*i**5 - 9/7*i**3 - 3/7*i**2 = 0.
-2, -1, 0, 1
Suppose 0 = 13*y - 2*a - 6, -4*y - 69 = -3*a - 47. Solve -34/7*v + 2/7*v**y + 104/7 = 0.
4, 13
Let i(n) be the third derivative of -n**8/840 + n**7/105 - n**6/150 - 2*n**5/15 + 2*n**4/5 + 5*n**2 + 277*n. Find z, given that i(z) = 0.
-2, 0, 2, 3
Suppose 0 = 2*b - 4*k - 4, -4*b - 2*k - 1 = 11. Let s be 68/136 + b/(-28). Suppose -6/7*r + s*r**2 + 2/7*r**5 + 2/7 + 4/7*r**3 - 6/7*r**4 = 0. What is r?
-1, 1
Suppose -745*u + 10 = -743*u. Suppose 3*h + 2 = -4*t, 0 = u*h - 0*t + t - 8. Suppose 41/5*s**h + 4/5 - 9*s**4 - 5*s**5 + 1/5*s**3 + 24/5*s = 0. What is s?
-1, -2/5, 1
Factor -10/11*j**2 + 4/11*j**4 - 6/11*j**3 + 0*j + 0.
2*j**2*(j + 1)*(2*j - 5)/11
Let k(f) be the third derivative of f**7/42 - 11*f**6/4 - 275*f**5/12 - 145*f**4/2 - 350*f**3/3 - 2*f**2 + 4*f - 59. Factor k(n).
5*(n - 70)*(n + 1)**2*(n + 2)
Factor -448/3*d**2 + 16*d + 1/3.
-(8*d - 1)*(56*d + 1)/3
Determine b, given that -341*b**3 - 576*b - 32*b**2 + 437*b**3 - b**5 - 3*b**5 - 576 + 12*b**4 = 0.
-2, 3, 6
Let a be 2*(-6)/24*2. Let q(v) = -18*v**3 - 35*v**2 - 3*v - 5. Let l(n) = -n**2 - n + 1. Let j(t