3*o**2 - 12*o**5 - 2402*o**b + 4783*o**2 + 44*o**4 + 24*o**3 = 0?
-1, 0, 2/3, 4
Let v(f) = -6*f + 6. Let x be v(-3). Let m = -12 + x. Factor -5*z**4 + 4*z - m*z**2 - 5*z**4 + 13*z**3 + 9*z**4 + z**5 - 5*z**4.
z*(z - 2)**2*(z - 1)**2
Factor -138672/7*g**2 + 368*g - 16/7 + 2518780/7*g**3 - 1225043/7*g**4.
-(g - 2)*(107*g - 2)**3/7
Let g(t) be the third derivative of -t**5/70 - 5*t**4/7 - 64*t**3/7 + 1179*t**2. Factor g(v).
-6*(v + 4)*(v + 16)/7
Suppose -5/3*h**2 - 9 - 11*h + 1/3*h**3 = 0. Calculate h.
-3, -1, 9
Suppose 202*n - n**4 - 79239*n**2 - 48 - 46*n + 79265*n**2 - n**4 - 38*n**3 + 2*n**5 - 96 = 0. What is n?
-3, 1, 2, 4
Factor -84 - 7*v - 1/7*v**2.
-(v + 21)*(v + 28)/7
Let g(v) be the first derivative of 8/9*v**3 - 21 - 1/3*v + 7/6*v**2. Factor g(r).
(r + 1)*(8*r - 1)/3
Let c be (16/1008)/(90/63). Let a(v) be the third derivative of -1/48*v**4 - 1/2*v**3 + 0 + 1/720*v**6 + 0*v + c*v**5 + 3*v**2. Factor a(q).
(q - 2)*(q + 3)**2/6
Let w(c) be the third derivative of 0*c**3 + 0 + 13/66*c**4 - 1/330*c**5 + 0*c + 189*c**2. Determine i so that w(i) = 0.
0, 26
Let y(q) be the second derivative of q**5/100 + 649*q**4/60 + 259*q**3/6 + 647*q**2/10 + 3370*q. What is c in y(c) = 0?
-647, -1
Let b = -180 - -179. Let r(z) = z**4 - z**3 - z**2 + z - 1. Let d(n) = -2*n**4 + 37*n**3 - 93*n**2 + 83*n - 28. Let w(c) = b*d(c) + 3*r(c). Factor w(m).
5*(m - 5)*(m - 1)**3
Let s(n) = -n**2 - n + 53. Let t be s(7). Let c(v) = 6*v**3 - 7*v**2 - 6*v - 3. Let r(j) = 3*j**3 - 4*j**2 - 3*j - 2. Let h(a) = t*c(a) + 5*r(a). Factor h(b).
-(b - 1)*(b + 1)*(3*b - 1)
Let i = -3514 - -17572/5. Let l(z) be the second derivative of 3*z + 1/25*z**5 - i*z**2 + 0 - 2/15*z**3 + 1/15*z**4. Factor l(v).
4*(v - 1)*(v + 1)**2/5
Let h(p) be the second derivative of -2*p**5/45 - 767*p**4/54 + 1546*p**3/27 - 775*p**2/9 - 397*p + 3. Factor h(m).
-2*(m - 1)**2*(4*m + 775)/9
Let u be (-54)/4*9*232/(-7830). Factor -96/5*i - 128/5*i**2 - u.
-2*(8*i + 3)**2/5
Let z(i) be the third derivative of -i**5/420 + 302*i**4/21 - 729632*i**3/21 + 691*i**2. Factor z(x).
-(x - 1208)**2/7
Suppose -3*c + 2*w + 9 = w, 5*c - 3*w - 15 = 0. Factor 0*t**2 + 3395*t + 12 - 5*t**c - 3403*t - 28*t**2 - 3*t**3.
-4*(t + 1)*(t + 3)*(2*t - 1)
Let x be (1/(-12))/(89/(74760/(-56))). Suppose 5*t = -3*v - 25, 5*t + 25 = 3*v - 8*v. Solve x*u + v + 5/4*u**2 = 0 for u.
-1, 0
Let y(z) = -10*z**2 + 295*z - 310. Let j(x) = 5*x**2 - 148*x + 205. Let o(g) = 5*j(g) + 2*y(g). Suppose o(l) = 0. What is l?
3, 27
Let a(f) = -f**3 - 11*f**2 - 9*f + 50. Suppose 467 = -39*w + 77. Let v be a(w). Factor 26/3*i**2 + v*i + 24 + 2/3*i**4 - 20/3*i**3.
2*(i - 6)**2*(i + 1)**2/3
Let b(x) be the second derivative of x**5/20 + 8*x**4 + 455*x**3/6 + 4867*x. Suppose b(c) = 0. Calculate c.
-91, -5, 0
Let z = -143260 - -143264. Factor 216/5*r - 36*r**2 + 432/5 + 34/5*r**3 - 2/5*r**z.
-2*(r - 6)**3*(r + 1)/5
Let k = -43/29 + 679/145. Let c be (-7 - -8)/((-1)/(-4)). Find s such that -2/5*s**c - 32/5 + k*s**3 - 48/5*s**2 + 64/5*s = 0.
2
Factor 15/2*g**2 + 831/4*g - 63.
3*(g + 28)*(10*g - 3)/4
Let l(j) be the third derivative of j**6/540 - 13*j**5/270 + 4*j**4/9 - 4*j**3/3 - 187*j**2 + 3*j. Find m such that l(m) = 0.
1, 6
Let g(b) be the third derivative of 16/21*b**3 + 0*b + 1/735*b**7 - 10/21*b**4 + 1 + 11/70*b**5 + 2*b**2 - 1/42*b**6. Determine s so that g(s) = 0.
1, 4
Suppose 5*i = 7*z + 60 - 17, -i = 4*z + 13. Let -19/3*o + 2/3 + 32/3*o**2 - 5*o**i = 0. What is o?
2/15, 1
Determine n so that -816*n**2 - 687 - 333 - 1310*n**2 + 641*n**2 + 5*n**4 - 225*n**3 + 397*n - 2672*n = 0.
-4, -1, 51
Let l(r) be the third derivative of -r**6/420 - 23*r**5/210 - 5*r**4/3 - 28*r**3/3 + 6*r**2 - 69. Find s, given that l(s) = 0.
-14, -7, -2
Let y(h) be the second derivative of -23/5*h**3 - 16/3*h**4 + 152*h + 0 - 2*h**5 - 9/5*h**2. Factor y(s).
-2*(s + 1)*(10*s + 3)**2/5
Solve -512*w - 5884/7*w**3 + 60/7*w**5 - 148*w**4 - 7844/7*w**2 - 528/7 = 0 for w.
-3, -1, -2/5, -1/3, 22
Let j(c) be the first derivative of 4*c**5/5 + 43*c**4/5 - 1352*c**3/15 - 1304*c**2/5 + 1248*c/5 + 7966. Determine l, given that j(l) = 0.
-13, -2, 2/5, 6
Let h(p) be the first derivative of p**6/1140 + p**5/190 - 42*p**2 + 131. Let m(y) be the second derivative of h(y). Factor m(f).
2*f**2*(f + 3)/19
Let t(h) be the first derivative of -6 - 2/7*h**2 + 1/14*h**4 + 9*h + 1/21*h**3. Let j(r) be the first derivative of t(r). Factor j(b).
2*(b + 1)*(3*b - 2)/7
Let p = 1279/147 + -410/49. Let f(n) be the third derivative of 0*n + p*n**4 + 0*n**3 + 21*n**2 + 0 - 1/45*n**5. Find u such that f(u) = 0.
0, 6
Suppose 5*l + 5*s - 55 = 0, -7*l = -6*l - 5*s + 43. Let i be (3/(-3) + 2)*0. Determine z, given that 8*z**l + 10*z**3 + 8/5*z + i = 0.
-2/5, 0
Let c(i) be the first derivative of i**3/6 + 11*i**2 + 435*i/2 - 3169. Find k, given that c(k) = 0.
-29, -15
Let n(x) be the second derivative of -3*x**5/80 + 729*x**4/8 - 177147*x**3/2 + 43046721*x**2 + x + 708. Factor n(h).
-3*(h - 486)**3/4
Let q(s) = 346*s**3 + 4*s - 3. Let t be q(1). Suppose -f + t - 344 = 0. Suppose 0*d - 6/7*d**f + 0 + 4/7*d**2 + 2/7*d**4 = 0. What is d?
0, 1, 2
Let y(i) = -i. Let k(p) = -p**3 - 2*p**2 - p + 2. Let g(t) = -k(t) + 2*y(t). Determine c, given that g(c) = 0.
-2, -1, 1
Let u(t) be the first derivative of -t**5/100 - 27*t**4/20 - 729*t**3/10 - 19683*t**2/10 + 243*t + 132. Let g(h) be the first derivative of u(h). Factor g(w).
-(w + 27)**3/5
Let j(o) = o**2 + 3*o - 1. Let a(i) = -6*i + 5*i + 66 - 4*i**2 + 20*i + 25*i. Let u(w) = -a(w) - 6*j(w). Suppose u(k) = 0. What is k?
-30, -1
Let r(a) be the first derivative of -a**3/3 + 673*a**2/6 + 150*a - 1607. Factor r(l).
-(l - 225)*(3*l + 2)/3
Let h(z) be the second derivative of -1/42*z**4 + 19/21*z**3 + 2 - 75*z + 6*z**2. Find c, given that h(c) = 0.
-2, 21
Let l be (-820)/164 - (1 + 120). Let w be 145/1305 - 4/l*1. Solve 0*i - 3/7*i**2 + 3/7*i**4 + 0 + w*i**3 - 1/7*i**5 = 0.
-1, 0, 1, 3
Let s(h) be the first derivative of -h**5 - 115*h**4/2 - 620*h**3 + 9100*h**2 - 27040*h + 364. Factor s(z).
-5*(z - 4)*(z - 2)*(z + 26)**2
Factor 1/4*w**2 - 78 - 7/2*w.
(w - 26)*(w + 12)/4
Let d be (-6550)/(-3 - -8) + 12. Let f = 1302 + d. Factor 1/4*m**5 - 2*m + 5/4*m**f + 3/2*m**3 + 0 - m**2.
m*(m - 1)*(m + 2)**3/4
Let a be 220/434 + (-260)/(-4030). Factor a*o**2 - 48/7 + 44/7*o.
4*(o - 1)*(o + 12)/7
Let w be 159 + -146 + (-2)/(-23) + 60970/(-6578). Factor -78/11*g - 38/11 - 2/11*g**3 - w*g**2.
-2*(g + 1)**2*(g + 19)/11
Factor -2126/3*p**2 - 2259938/3*p - 2402314094/9 - 2/9*p**3.
-2*(p + 1063)**3/9
Let y be (10/2 - (7 + -6)) + 94. Let o = y + -678/7. Determine m, given that -2/7*m**4 + 0 + o*m - 16/7*m**2 + 10/7*m**3 = 0.
0, 1, 2
Suppose -13*n + 30 = -n + 3*n. Let m(o) be the first derivative of 2/15*o**3 + 14 + 2/5*o - 2/5*o**n. Factor m(a).
2*(a - 1)**2/5
Let m(x) be the second derivative of -x**4/6 + 110*x**3/3 - 69*x + 10. Find c such that m(c) = 0.
0, 110
Suppose -4*z = 5*z - 14760. Factor z*p**3 + 215*p - 22*p**2 + 295*p - 1638*p**3 + 578 - 44*p**2.
2*(p - 17)**2*(p + 1)
Let m be (-1)/7*(1656 - 1670). Determine k so that -34/9*k + 4 - 2/9*k**m = 0.
-18, 1
Let p(a) be the third derivative of -47*a**6/360 + a**5/180 + 47*a**4/8 - a**3/2 - 914*a**2. Factor p(h).
-(h - 3)*(h + 3)*(47*h - 1)/3
Let i(a) be the second derivative of -a**4/66 - 962*a**3/33 - 231361*a**2/11 - 2819*a. Factor i(o).
-2*(o + 481)**2/11
Let o be (4/(-6))/((-2)/33). Let p(y) = y**2 - 12*y + 13. Let v be p(o). Factor 6*b**3 - 3*b + 0*b**3 - 3*b**4 + 55*b**v - 3 - 49*b**2 - 3*b**5.
-3*(b - 1)**2*(b + 1)**3
Let s(t) = t**2 + 5*t - 13. Let j be s(-7). Suppose -z + d = j, -d - 3*d = -z - 16. What is b in -z - 1 - 3 + 4*b**2 - 2*b - 2*b = 0?
-1, 2
Let k(h) be the first derivative of -10 + 0*h + 0*h**3 + 1/51*h**6 - 1/17*h**4 + 0*h**5 + 1/17*h**2. Suppose k(c) = 0. What is c?
-1, 0, 1
Let h be (6/(-9) + 0)/(4/(-12)). Suppose h*p - 3*u = 3*p - 23, 4*p - u = 40. Suppose p*j**2 + 4*j + j**2 + 16*j**3 + 12*j**2 - 4*j**2 = 0. Calculate j.
-1, -1/4, 0
Let l be (3/(-1))/(10 + 46/(-4)). Factor 0*h**3 + 294*h**2 - 275*h**l - h**3.
-h**2*(h - 19)
Suppose 1061*o + 11 = 1072*o. Let i = -1 + 3. Factor -5 - 3*c**i - 15*c**3 + 9*c**4 - o - 2*c + 17*c.
3*(c - 1)**2*(c + 1)*(3*c - 2)
Let l(b) be the third derivative of -5*b**8/672 + 2*b**7/105