y(j) = 12*j - 2. Let w be y(1). Let p(s) = -5*s**2 - 182*s. Let r(q) = w*p(q) + 3*z(q). Solve r(b) = 0.
-37, 0
Suppose 271*s - 34*s + 198*s = 0. Let f(a) be the second derivative of 8*a - 1/4*a**4 + 0 + 3/2*a**2 + s*a**3. Determine q, given that f(q) = 0.
-1, 1
Factor -2*f**2 - 2*f**2 - 4*f**2 + 4*f**2 + 920*f - 2792*f.
-4*f*(f + 468)
Let t(o) be the second derivative of -8/13*o**2 - 1/78*o**4 - 2/13*o**3 + 5 + 36*o. What is b in t(b) = 0?
-4, -2
Let d(f) be the first derivative of -f**3/3 + 176*f**2 - 30976*f + 3345. Factor d(z).
-(z - 176)**2
Let i(j) be the first derivative of 17*j**3/3 + j**2 - 2*j - 22. Let n be i(1). Factor 5*p + 5*p**5 - 14*p**2 + 30*p**3 + 20*p**4 + 17*p**2 + n*p**2.
5*p*(p + 1)**4
Let z(h) be the second derivative of 2 + 3/2*h**3 + 1/20*h**5 - 41*h - 1/2*h**4 - 2*h**2. Solve z(n) = 0.
1, 4
Suppose -8*w + w = -35. Factor -13*k + 3*k + 7 + 8 - w*k**2.
-5*(k - 1)*(k + 3)
Let v = 1857 + -1858. Let i be ((-14)/(-2))/v*(-20)/175. Factor 8/5*c**4 - 18/5*c - 2/5*c**5 - 24/5*c**2 + 0 + i*c**3.
-2*c*(c - 3)**2*(c + 1)**2/5
Suppose 0 = u + 657 - 649, 0 = 3*x - u - 20. Let v(y) be the second derivative of 0 + 1/4*y**x - 9*y**2 + 14*y - 5/2*y**3. Factor v(b).
3*(b - 6)*(b + 1)
Let d be 35/10 - (-8 + 1836/160). Let t(x) be the third derivative of 0*x - 1/4*x**3 - 1/240*x**6 + 1/48*x**4 + d*x**5 + 14*x**2 + 0. What is c in t(c) = 0?
-1, 1, 3
Let v(n) be the second derivative of -n**7/84 - 17*n**6/12 + 133*n**5/20 + 41*n**4/6 - 262*n**3/3 + 176*n**2 + 866*n. Find y, given that v(y) = 0.
-88, -2, 1, 2
Let s = -2483/18 - -1246/9. Determine i so that s*i**3 + 200 + 41/2*i**2 + 220*i = 0.
-20, -1
Let j = 48 + -46. Solve t**5 + 12*t**j - 72*t - 22888 + 46*t**3 + 15*t**4 - 2*t**4 + 22888 = 0 for t.
-6, -2, 0, 1
Let r(j) = 35*j**3 + 5725*j**2 + 8000*j + 2200. Let g(m) = -m**3 + m**2 - m + 8. Let u(s) = -10*g(s) - r(s). Factor u(c).
-5*(c + 1)*(c + 228)*(5*c + 2)
Let a(q) be the third derivative of -q**6/60 + 323*q**5/30 - 26243*q**4/12 + 25921*q**3/3 - 2*q**2 + 3*q. Factor a(z).
-2*(z - 161)**2*(z - 1)
Let s(q) be the third derivative of -q**6/360 - 11*q**5/30 - 5*q**4/3 + 256*q**3/9 - 145*q**2 - 7. Factor s(h).
-(h - 2)*(h + 4)*(h + 64)/3
Factor -466/17 - 464/17*m + 2/17*m**2.
2*(m - 233)*(m + 1)/17
Let f = -4540 + 31830/7. Let h(d) be the first derivative of -1/28*d**4 - 5 - 45/14*d**2 + 4/7*d**3 + f*d. Factor h(t).
-(t - 5)**2*(t - 2)/7
Let i(m) be the first derivative of -m**3/12 + 575*m**2/4 - 330625*m/4 + 315. Factor i(w).
-(w - 575)**2/4
Suppose 2*c = a + 3, -3*c = 2*c + 5*a - 15. Factor -3*z**c + 4*z**2 + 4*z**2 + 20*z**4 + 25*z**3.
5*z**2*(z + 1)*(4*z + 1)
Let u(x) be the first derivative of x**4/16 + 2*x**3/3 + x**2/8 - 21*x/2 + 1277. Factor u(f).
(f - 2)*(f + 3)*(f + 7)/4
Let u(t) = t**3 + 25*t**2 - 144*t - 8. Let m(d) = d**3 + d**2 - 6*d - 4. Let y(b) = -6*m(b) + 3*u(b). What is h in y(h) = 0?
0, 11, 12
Let g be (257/731)/(-7 + 8). Let w = g + -5/43. Find m such that 2/17*m**2 - w*m + 0 = 0.
0, 2
Let j be (4/7)/(-2) + (-136)/(-4998)*14. Let p(m) be the first derivative of -27 + 0*m**2 + j*m**3 + 0*m + 1/14*m**4 - 4/35*m**5. Factor p(d).
-2*d**2*(d - 1)*(2*d + 1)/7
Find z such that 361/3*z**3 + 24833/3*z**2 + 92 - 5240/3*z = 0.
-69, 2/19
Suppose 0*x + 0*x + 2*x = 2, -9*t = -2*x - 110158. Factor -6912/7 - 82076/7*p**3 - t*p**2 - 39744/7*p - 29478/7*p**4.
-2*(3*p + 2)*(17*p + 12)**3/7
Factor -255*m + 1/2*m**2 + 65025/2.
(m - 255)**2/2
Let 3632/13*k + 2/13*k**2 + 3630/13 = 0. Calculate k.
-1815, -1
Let q(j) be the second derivative of j**4/3 + 12*j**3 - 806*j**2 + 22*j - 11. Factor q(i).
4*(i - 13)*(i + 31)
Suppose 0*f - f = 2*l, 5*f = -5*l + 10. Suppose -f*j + 15 = -3*j + 5*u, 6 = 3*u. Factor 259*o**4 - 4*o**2 + 0*o**2 + 6*o**3 - 265*o**4 + 2*o**2 + 2*o**j.
2*o**2*(o - 1)**3
Let v(d) = 6*d - 30. Let t be v(6). Find z such that 24*z**2 - 17*z + t*z - 9*z - 5*z**3 + z**2 = 0.
0, 1, 4
Let j(d) be the second derivative of d**5/60 - d**4/8 + d**3/3 + 43*d**2 - d - 5. Let n(f) be the first derivative of j(f). Solve n(o) = 0.
1, 2
Let p = 27707/11 + -2518. Let b(w) be the first derivative of -2/55*w**5 + p*w**2 - 10/11*w**3 + 0*w + 7/22*w**4 - 13. Factor b(o).
-2*o*(o - 3)**2*(o - 1)/11
Let w(h) = -h**3 + h - 1. Let a(u) = 2*u**3 - 35*u**2 + 78*u - 48. Let i = 149 - 146. Let s(m) = i*w(m) - a(m). Factor s(j).
-5*(j - 3)**2*(j - 1)
Let v be (-2508)/(-36)*(-270)/(-2310). Factor -33/7*z - 12/7 - 12/7*z**3 + v*z**2.
-3*(z - 4)*(z - 1)*(4*z + 1)/7
Let o(h) be the second derivative of h**6/90 + h**5/5 - 11*h**3/3 + h**2 - 69*h. Let r(b) be the second derivative of o(b). Factor r(q).
4*q*(q + 6)
Let i be (-44)/66*6*-1. Suppose -i = -9*v + 7*v. Let -7*n**v + 1 + 2*n**2 - 5*n - 1 = 0. Calculate n.
-1, 0
Suppose -3*u - 5*b - 475 = 43, -362 = 2*u - 5*b. Let c = u + 178. Factor 6/13*p - 36/13 + 8/13*p**c - 2/13*p**3.
-2*(p - 3)**2*(p + 2)/13
Find b, given that 0*b**3 + 2*b**3 + 5*b**3 - 25*b**2 - 53*b + 9*b**3 - 15*b**3 - 27 = 0.
-1, 27
Let n(d) be the third derivative of d**6/480 + 33*d**5/40 + 3267*d**4/32 + 4*d**2 + 4. Find y such that n(y) = 0.
-99, 0
Let u(t) be the first derivative of 5*t**6/6 + 4*t**5 - 15*t**4 - 2319. Factor u(h).
5*h**3*(h - 2)*(h + 6)
Determine s, given that 6400/9 + 2656/9*s**2 + 8960/9*s - 31/9*s**4 + 64/9*s**3 + 1/9*s**5 = 0.
-4, -1, 20
Let b(c) = -c**2 - 3*c - 2. Let p be b(3). Let v = p + 31. What is u in 3*u**2 - v*u - 7*u**2 - u = 0?
-3, 0
Let v = 8619 - 112037/13. Find k, given that -v*k + 16/13*k**4 - 2/13*k**5 + 32/13*k**2 - 36/13*k**3 + 0 = 0.
0, 1, 5
Let n(f) be the first derivative of -f**6/33 - 8*f**5/55 + 10*f**4/11 - 20*f**3/33 - 19*f**2/11 + 28*f/11 - 1879. What is a in n(a) = 0?
-7, -1, 1, 2
What is h in -h**2 + 387537 + 4*h**2 - h**2 - 1409*h + 24695 - 407*h = 0?
454
Let l(z) be the second derivative of -121*z**6/60 - 539*z**5/20 - 779*z**4/6 - 722*z**3/3 + 6423*z. Factor l(s).
-s*(s + 2)*(11*s + 38)**2/2
Let s(m) be the second derivative of 3/4*m**3 + 1/40*m**5 - 2*m - 1/4*m**4 + 0*m**2 + 8. Let s(t) = 0. What is t?
0, 3
Let 5/2*w + 0 + 39/8*w**2 + 9/4*w**3 - 1/8*w**4 = 0. Calculate w.
-1, 0, 20
Let m(q) = -q**3 + 93*q**2 - 832*q + 27817. Let f be m(87). Find b, given that -1/7*b**2 + 22*b - f = 0.
77
Let m(w) be the second derivative of 11*w**5/18 + 248*w**4/27 + 779*w**3/27 + 14*w**2/9 - 12059*w. What is c in m(c) = 0?
-7, -2, -1/55
Solve 24*i + 2/3*i**5 + 112/3 - 76/3*i**2 - 26/3*i**3 + 4*i**4 = 0 for i.
-7, -2, -1, 2
Let i(f) be the first derivative of -128/75*f**5 - 8/5*f**4 + 172/45*f**3 + 1/15*f**6 - 44/15*f + 71 + 3*f**2. Solve i(p) = 0.
-1, 1/3, 1, 22
Factor -50/13*s**2 + 2/13*s**3 - 240/13 + 212/13*s.
2*(s - 20)*(s - 3)*(s - 2)/13
Let o be (73/(3942/(-108)))/(-4*2). Factor o*j**3 - 15/2 + 5/2*j**2 + 19/4*j.
(j - 1)*(j + 5)*(j + 6)/4
Let x(d) be the second derivative of 38*d**3/3 - 265*d**2 - 171*d. Let o be x(7). Solve -5/3*v**4 + 4/3*v**5 + 0 + 2/3*v**o + 0*v - 7/3*v**3 = 0 for v.
-1, 0, 1/4, 2
Let l(q) = 0*q**2 + 2 - q**2 + 97*q + 96*q + 109*q - 324*q. Let z be l(-22). Suppose 1/5*n + 1/5*n**z - 1/5*n**4 + 0 - 1/5*n**3 = 0. Calculate n.
-1, 0, 1
Let z(n) be the second derivative of 20*n**4 - 1 - 245/2*n**2 - 35/3*n**3 + 1/6*n**6 + 7/2*n**5 + 7*n. Factor z(r).
5*(r - 1)*(r + 1)*(r + 7)**2
Let p(u) = u + 1. Let r be p(1). Suppose -c - 174 = -5*b, 0 = r*b + 2*c + 2*c - 52. Factor -2 + 1323*v**2 - b*v + 4 + 286*v + 10.
3*(21*v + 2)**2
Let p(w) = -7*w**2 - 17*w - 25. Let y(g) = 2*g**2 + g. Let j(n) = -p(n) + 3*y(n). Let k(a) = 32*a**2 + 40*a + 50. Let d(h) = 7*j(h) - 3*k(h). Factor d(z).
-5*(z - 5)*(z + 1)
Let s be (60/35)/(6/(-1491)). Let g = s - -855/2. Find d, given that 0 + 3/2*d - 9/4*d**4 + g*d**3 + 21/4*d**2 = 0.
-1, -1/3, 0, 2
Suppose 0 = -262*o - 387*o + 28*o - 309*o + 3720. Find v such that 225/8*v - 1/8*v**o - 195/8*v**2 - 29/8*v**3 + 0 = 0.
-15, 0, 1
Let a(b) be the first derivative of -b**4/9 - 40*b**3/9 - 200*b**2/3 + 67*b - 22. Let v(j) be the first derivative of a(j). Factor v(f).
-4*(f + 10)**2/3
Let h = 1193 - 1181. Let y(i) be the second derivative of 3/20*i**5 - h*i - 1/4*i**2 + 1/3*i**3 + 0 + 11/24*i**4. Find a such that y(a) = 0.
-1, 1/6
Let z = -29 - 62. Let l = z - -116. Factor -15*a - 46*a**2 - l*a - 11*a**3 - 7*a**3 - 8 + 4*a**3.
-2*(a + 1)*(a + 2)*(7*a + 2)
Let v be