a + 12, -2*o - 5*a = -29. Find z such that -5*z - 9*z + 26*z + 2*z**o - 10*z = 0.
-1, 0
Let p(g) = -g**3 - 3*g**2 - g - 3. Let j be p(-6). Suppose 218*f - j*f + 4*f**2 - 99*f = 0. What is f?
-2, 0
Let s(p) be the third derivative of -p**5/240 + p**4/16 + 2*p**3/3 + 113*p**2 + 4. Determine l so that s(l) = 0.
-2, 8
Let k(z) = 8*z**4 + 136*z**3 + 738*z**2 + 855*z - 1737. Let f(p) = 28*p**4 + 476*p**3 + 2584*p**2 + 2992*p - 6080. Let g(x) = -9*f(x) + 32*k(x). Factor g(n).
4*(n - 1)*(n + 6)**3
Suppose -20 = 75*v - 85*v. Determine o so that -19*o - 107*o**2 + 9*o**3 + 61*o + 53*o**v - 75*o**2 = 0.
0, 1/3, 14
Let z = 5101/3639 + -83/1213. Suppose -z*x + 4/9*x**2 - 16/9 = 0. What is x?
-1, 4
Let q(y) = -y**3 + y**2 + y. Suppose -6 - 1 = 3*u + b, -3*u = 4*b + 19. Let n(s) = -10*s**3 + 30*s**2 - 25*s. Let z(w) = u*n(w) + 5*q(w). Factor z(k).
5*k*(k - 3)*(k - 2)
Find h such that 0 + 0*h + 0*h**3 - 45/2*h**5 - 93/2*h**4 + 6*h**2 = 0.
-2, -2/5, 0, 1/3
Suppose 33*f = 4616*f - 9166. Factor 3/4 - 2*c**3 + 19/4*c**f - 7/2*c.
-(c - 1)**2*(8*c - 3)/4
Let l(b) be the first derivative of 2*b**6/21 - 76*b**5/35 + 3068. Factor l(w).
4*w**4*(w - 19)/7
Let p(z) be the first derivative of -22/3*z + 25 + 43/6*z**2 - 20/9*z**3 - 1/12*z**4. Determine x, given that p(x) = 0.
-22, 1
Let q = 2/4537 - -2590609/40833. Let f = 191/3 - q. Solve 4/9 + 0*r**2 - 2/3*r + f*r**3 = 0.
-2, 1
Suppose 15*x = 2*x + 26. Suppose -j + 5*k + 3 - 1 = 0, -4 = -2*j - 4*k. Factor -4*n**3 + 35*n**j + 7*n**3 + 42*n + 27*n**x - 83*n**2 - 24.
3*(n - 4)*(n - 2)*(n - 1)
Let x be (448/(-20) + 28)/4. Find g such that -6/5 - g**3 + 8/5*g**2 + x*g = 0.
-1, 3/5, 2
Let i = 77101/208 + -4818/13. Let h(c) be the second derivative of i*c**5 + 1/6*c**3 + 0*c**2 - 1/120*c**6 - 1/6*c**4 - 6*c + 0. Determine z so that h(z) = 0.
0, 1, 2
Let d(l) be the third derivative of l**6/300 - 23*l**5/150 - 169*l**4/60 - 29*l**3/3 - l**2 - 5*l + 20. Factor d(y).
2*(y - 29)*(y + 1)*(y + 5)/5
Factor 81*o**3 + 41*o**3 - 14792 - 2*o**4 - 14106*o**2 + 18733*o - 216*o**3 + 10507*o - 246*o**3.
-2*(o - 1)**2*(o + 86)**2
Let l(c) be the second derivative of -c**5/12 - 25*c**4/12 - 40*c**3/3 + 111*c**2/2 + 22*c - 3. Let g(t) be the first derivative of l(t). Factor g(m).
-5*(m + 2)*(m + 8)
Let w(o) be the first derivative of o**4/2 + 1058*o**3/3 + 70224*o**2 + 139392*o + 12650. Suppose w(c) = 0. Calculate c.
-264, -1
Factor 369/5*h - 3/5*h**4 + 147*h**2 + 363/5*h**3 + 0.
-3*h*(h - 123)*(h + 1)**2/5
Let g(v) be the third derivative of v**5/480 - 7*v**4/192 + 5*v**3/24 - 1686*v**2. Factor g(s).
(s - 5)*(s - 2)/8
Let q(s) be the second derivative of -s**7/21 + 4*s**6/15 + s**5/10 - 2*s**4/3 + 3*s - 112. Suppose q(m) = 0. Calculate m.
-1, 0, 1, 4
Let n be (-28)/(-7) - (2 - 14). Suppose n = 23*w - 7. Suppose w + 3/2*f + 1/2*f**2 = 0. Calculate f.
-2, -1
Let g be 2/((-4)/6) + -2*3. Let s be g/15 - ((-16)/10 - 1). Factor -6*o + 2*o**2 + 40 - 8 + 22*o + 0*o**s.
2*(o + 4)**2
Let q(z) be the third derivative of -1/630*z**7 + 4/9*z**3 - 81*z**2 + 0*z + 1/18*z**4 - 1/30*z**5 - 1/72*z**6 + 0. Factor q(f).
-(f - 1)*(f + 2)**3/3
Let h(w) be the second derivative of -w**6/135 - 17*w**5/90 - 29*w**4/54 + 17*w**3/27 + 10*w**2/3 + 846*w + 1. Find k such that h(k) = 0.
-15, -2, -1, 1
Let p = 3489 - 3476. Let d(x) be the third derivative of 1/150*x**5 + 0*x**3 + 0*x**4 + p*x**2 + 0*x + 0. Suppose d(z) = 0. Calculate z.
0
Let z = 10373/2 + -4579. Let f = z - -7107/10. Solve -1521/5*h + f + 117/5*h**2 - 3/5*h**3 = 0 for h.
13
Factor -50*b**2 - 22 + 6472*b**3 + 220*b - 98 - 6487*b**3.
-5*(b - 2)*(b + 6)*(3*b - 2)
Let o = -23 - 10. Let r = o - -35. Factor 3*h**4 + 3*h**2 - 8*h**4 - 20*h**3 - 27*h**2 - 10*h - h**r.
-5*h*(h + 1)**2*(h + 2)
Let g = -2972 - -2972. Let k(z) be the third derivative of g*z - 2/9*z**3 - 1/24*z**4 + 1/180*z**5 + 0 + 24*z**2. Determine l so that k(l) = 0.
-1, 4
Suppose 420*b + 3/2*b**4 + 423*b**2 + 144*b**3 + 279/2 = 0. What is b?
-93, -1
Solve 1357920*k**2 + 237039*k - 231435*k + 206763*k**4 + 245563*k + 363233*k + 96000 + 439803*k**3 + 689829*k**3 = 0 for k.
-4, -20/41
Factor 0 - 2/5*r**5 - 24/5*r**4 - 28/5*r**2 + 54/5*r**3 + 0*r.
-2*r**2*(r - 1)**2*(r + 14)/5
Factor -1/2*h**5 - 2470*h**2 + 0 - 417/2*h**4 - 1239*h**3 - 1644*h.
-h*(h + 2)**3*(h + 411)/2
Suppose 6*j - 8 = 136. Factor -28 - 16 - 32 + j*g - 84*g - 12*g**3 + 44 + 104*g**2.
-4*(g - 8)*(g - 1)*(3*g + 1)
Let f(m) be the first derivative of 8*m**5/35 - 9*m**4/14 - 2*m**3/21 + 6*m**2/7 - 871. What is n in f(n) = 0?
-3/4, 0, 1, 2
Suppose -169*m = -164*m - 5. Let q be m*2 + -15 + -9 + 22. Suppose 1/2*w**4 + 0*w**3 + 0 - 1/2*w**5 + 0*w + q*w**2 = 0. What is w?
0, 1
Suppose 3*z - 16*s = -12*s + 30, -5*s = 30. Let d(f) be the second derivative of 30*f + 0*f**z + 0 + 5/33*f**3 + 1/66*f**4. Let d(k) = 0. Calculate k.
-5, 0
Suppose 162 + 1416 = 21*j + 1328*j - 1120. Factor 0 + 2/15*d**3 + 2/3*d - 4/5*d**j.
2*d*(d - 5)*(d - 1)/15
Let a(b) be the third derivative of -b**5/390 + 25*b**4/39 + 175*b**3/13 - 6*b**2 - 29*b. Factor a(u).
-2*(u - 105)*(u + 5)/13
Let u(t) be the second derivative of t**2 + 73*t + 47/3*t**4 + 0 + 9*t**5 + 53/6*t**3. Factor u(b).
(2*b + 1)**2*(45*b + 2)
Suppose 55*r - 22329 - 5*r**2 + 10757 - 380*r + 9802 = 0. What is r?
-59, -6
Let p(b) = -10*b**2 + 2*b. Let q(l) = 23*l**2 - 2*l - 4. Let m(a) = -66*a**2 + 6*a + 11. Let c(r) = -4*m(r) - 11*q(r). Let h(n) = -3*c(n) - 4*p(n). Factor h(s).
s*(7*s - 2)
Let p(n) = n**3 + n. Suppose -c + 152 = 4*d, 5*c - 184 = -4*d - 48. Let y = d + -34. Let x(q) = -7*q**3 - 6*q**2 - 5*q. Let b(z) = y*p(z) + x(z). Factor b(u).
-2*u**2*(u + 3)
Let u be 630/245 - 306/168. Let p(l) be the second derivative of -37*l + 0 + u*l**2 - 1/24*l**4 + 1/6*l**3. Suppose p(k) = 0. What is k?
-1, 3
Let v(l) = 465*l**3 + 575140*l**2 + 393190645*l + 130999680. Let u(d) = -33*d**3 - 41081*d**2 - 28085046*d - 9357120. Let x(g) = 85*u(g) + 6*v(g). Factor x(o).
-5*(o + 1368)**2*(3*o + 1)
Let r(b) be the second derivative of b**5/30 - 143*b**4/9 + 1411*b**3/9 - 562*b**2 + 3459*b + 1. Factor r(k).
2*(k - 281)*(k - 3)*(k - 2)/3
Suppose -19*t + 3*k + 29 = 0, 502 = -t + 3*k + 495. Determine g so that 106/7*g - 36/7 + 6/7*g**t = 0.
-18, 1/3
Let v be ((-1275)/(-18) - -1)/((-3)/(-48)). Let l = v - 1136. Factor 4/3*t**4 + 52/3*t**2 + 80*t + 48 - l*t**3.
4*(t - 6)**2*(t + 1)**2/3
Let c(m) be the second derivative of 5/4*m**4 - 1/6*m**6 - 2*m - 1 - 10*m**2 - 1/2*m**5 + 10/3*m**3. Suppose c(j) = 0. Calculate j.
-2, 1
Let u be ((-72)/(-4))/(84/56). Let g be u/48 + (-3)/204. What is c in g + 2/17*c - 4/17*c**2 - 2/17*c**3 = 0?
-2, -1, 1
Determine g, given that 10377/2*g**3 - 153*g**4 - 46818*g + 530604 - 57579*g**2 + 3/2*g**5 = 0.
-3, 3, 34
Let n(p) = -11*p**2 - 92*p - 768. Suppose 5*i = -32 + 12. Let q(v) = -42*v**2 - 369*v - 3072. Let z(u) = i*q(u) + 15*n(u). Solve z(a) = 0 for a.
-16
Suppose -194*a + 5*u = -196*a - 26, 4*a = u + 14. What is i in -43/5*i**a + 0 + 6*i + 14/5*i**3 - 1/5*i**4 = 0?
0, 1, 3, 10
Let m be 20/60 + (-2)/(-6)*5. Let w(q) be the first derivative of -4*q**3 + 37*q - 3*q**2 - 3*q**m + 5*q**4 - 6*q**4 - 15 - 41*q. Suppose w(y) = 0. What is y?
-1
Let t(j) = -j**3 + 15*j**2 - j + 1. Let w(u) = 13*u**3 - 273*u**2 + 1015*u - 2335. Let z(p) = 10*t(p) + w(p). Factor z(r).
3*(r - 31)*(r - 5)**2
Let z(f) be the second derivative of -f**6/10 - 7*f**5/30 - f**4/36 + 2*f**3/9 - 1794*f. Factor z(g).
-g*(g + 1)**2*(9*g - 4)/3
Let y = 11 - 8. Let d(h) = -8*h - 30. Let m be d(-4). Factor 12*i**4 + 0*i**y - 3*i + 27*i**3 - 20*i**2 + 38*i**m + 6*i.
3*i*(i + 1)**2*(4*i + 1)
Let 101*v - 46*v**4 - 8544*v**2 - 156*v**3 + 2*v**5 + 8536*v**2 + 107*v = 0. What is v?
-2, 0, 1, 26
Suppose -2*m - 4*i = -m + 14, 0 = 5*m + i - 25. Let o be m/(-25)*510/(-68). Factor -o - 7/5*b**2 + 1/5*b**3 + 3*b.
(b - 3)**2*(b - 1)/5
Let m be (-23)/69 + (-34)/(-3). Suppose 0 = 3*s + 4*g - m, -2*s + 3*g + 8 = -5. Factor 3*o**2 + s*o**2 - 3*o**2 - 6*o**2.
-o**2
Let a(y) be the first derivative of -20*y - 4/3*y**3 + 12*y**2 - 133. Let a(q) = 0. What is q?
1, 5
Suppose 3*i + 3 = 0, 3*i - 14 = 5*y - 2. Let x be (y/6)/(4/(-96)). Factor 23 - 54 + 16 + 3*v**2 + x*v.
3*(v - 1)*(v + 5)
Let q(g) be the third derivative of g**7/105 + 7*g**6/60 + g**5/15 - 10*g**4/3 - 4*g**2 + 80*g. Factor q(h).
2*h*(h -