o**4 + 0 + o**3 - m*o + 1/2*o**5 = 0.
-1, 0, 1, 3
Let y(p) = p**3 - 6*p**2 + 2. Let c be y(6). Suppose 8434*n = 4227*n + 4229*n. Factor n - 1/2*f - 1/2*f**c.
-f*(f + 1)/2
Let z(u) be the second derivative of -u**6/15 + 29*u**5/10 - 52*u**4/3 + 100*u**3/3 + 19*u - 3. Find d such that z(d) = 0.
0, 2, 25
Suppose -2*c - 9 = -29. Suppose s - 4*k = -4*s - c, 17 = -4*s + 5*k. Solve 40*i**2 + 8*i - 79*i**s + 43*i**2 - 4*i**3 = 0 for i.
-1, 0, 2
Let u(z) = z**2 + 142*z + 4367. Let j be u(-97). Suppose -2*h + h = 0. Find d, given that 0*d - 5/2*d**j + 2 + 1/2*d**4 + h*d**3 = 0.
-2, -1, 1, 2
Let t(f) = 2*f**2 - 2*f - 1294. Let g(p) = -4*p + 1. Let y(n) = -2*g(n) + t(n). Determine o, given that y(o) = 0.
-27, 24
Let w(g) be the third derivative of 16/15*g**5 - 35/24*g**4 + 13 + 0*g + 3*g**2 - 7/24*g**6 + g**3. Solve w(o) = 0 for o.
2/5, 3/7, 1
Let a be (5 + -3)*(-21)/(-14). Suppose -5*w + 3*p + 13 = 0, 2*p = -5*w - p + 7. Factor -a*g - 108*g**2 - w*g + 12 + 93*g**2 + 2*g.
-3*(g + 1)*(5*g - 4)
Let j = -58545/4 - -14637. Let k(y) be the first derivative of 3/2*y**2 + 1 - j*y**4 + 3*y**3 - 9*y. Factor k(g).
-3*(g - 3)*(g - 1)*(g + 1)
Let k(p) be the third derivative of 43*p**6/420 + 643*p**5/630 - 5*p**4/126 - 401*p**2 + 2*p. Factor k(c).
2*c*(c + 5)*(129*c - 2)/21
Solve 69*o + 473*o**2 - 474*o**2 - o**3 + 46*o - 38*o + 55*o = 0 for o.
-12, 0, 11
Let s(z) be the first derivative of z**5 + 85*z**4/2 - 5*z**3/3 - 85*z**2 - 1569. What is w in s(w) = 0?
-34, -1, 0, 1
Let c(r) be the second derivative of r**7/14 + 16*r**6/5 - 213*r**5/20 - 51*r**4/2 + 10*r - 48. Find x such that c(x) = 0.
-34, -1, 0, 3
Let u = 21421/203 - 3056/29. Factor -u*g - 3/7*g**2 + 0 + 4/7*g**4 + 0*g**3.
g*(g - 1)*(2*g + 1)**2/7
Factor -10*t**2 - 2939 + 1470 + 1469 - 228*t + 6*t**2.
-4*t*(t + 57)
Suppose -58*k = 9*k - 134. Let z(j) be the first derivative of -9 - 2/15*j**3 - 1/25*j**5 + 0*j**k + 3/20*j**4 + 0*j. Suppose z(g) = 0. What is g?
0, 1, 2
Factor -42348*o**2 + 42350*o**2 - 16 + 36*o - 160.
2*(o - 4)*(o + 22)
Let k(v) = -v**2 - v + 1. Let h(z) be the second derivative of -1/3*z**4 + 0 + 3*z**2 + z**3 + 8*z. Let i(r) = -h(r) + 6*k(r). Suppose i(s) = 0. What is s?
-6, 0
Let p(g) be the second derivative of g**4/36 + 86*g**3/9 - 58*g**2 - 1056*g. Factor p(k).
(k - 2)*(k + 174)/3
Let v(c) = -4*c**2 + 73*c + 14. Let h be v(18). Factor h*j**4 - 136 - 264 + 396*j**2 - 80*j + 80*j**3 - 28*j**4.
4*(j - 1)*(j + 1)*(j + 10)**2
Let b(p) be the second derivative of p**4/3 - 130*p**3/3 - 132*p**2 + 976*p. Factor b(a).
4*(a - 66)*(a + 1)
Let n(q) = 7*q**2 + 6159*q - 4755519. Let d(j) = -10*j**2 - 9239*j + 7133279. Let x(w) = -9*d(w) - 13*n(w). Suppose x(b) = 0. What is b?
1542
Let g = 42 - 39. Solve -27*c**2 + 153*c**3 + 6*c + 3*c**4 - 53*c**g + 24 - 50*c**3 - 56*c**3 = 0 for c.
-2, -1, 1, 4
Let c(o) be the first derivative of -4*o**5/45 + 58*o**4/9 - 448*o**3/27 - 5813. Solve c(u) = 0 for u.
0, 2, 56
Let p(n) be the third derivative of n**5/330 - 131*n**4/66 - 263*n**3/33 + 785*n**2. What is f in p(f) = 0?
-1, 263
Factor -1/4*n**2 + 561/4 + 46*n.
-(n - 187)*(n + 3)/4
Let w(i) be the third derivative of -i**6/660 - i**5/330 + i**4/33 + 4*i**3/33 + 155*i**2. Factor w(l).
-2*(l - 2)*(l + 1)*(l + 2)/11
Factor -12 - 42 - 74*q**2 + 39*q - 24*q**3 - 123*q - 2*q**4 + 22.
-2*(q + 1)**2*(q + 2)*(q + 8)
Suppose 36*i - 8470 = i. Factor -14 - v**2 + 241*v**3 + 0*v**2 - i*v**3 + 14.
-v**2*(v + 1)
Let y(p) be the third derivative of 17/36*p**5 + 5/1008*p**8 + 0*p**3 + 10 + 5/12*p**4 + 0*p - 5*p**2 + 1/18*p**7 + 17/72*p**6. Solve y(i) = 0.
-3, -2, -1, 0
Let a be 30/11 - 31840/43780. Factor 1/6*x**2 - a*x + 11/6.
(x - 11)*(x - 1)/6
Let 520178*k**3 + 2357*k**4 - 2103292*k**2 - 309*k**4 + 11*k**5 - 379104 + 2637848*k - 10*k**5 + k**5 - 677680 = 0. Calculate k.
-514, 1, 2
Factor 87*l + 3*l**2 - 41*l + 207 + 272*l - 121 + 229.
3*(l + 1)*(l + 105)
Suppose -x - 3*x = -16. Let w be (x - (-32)/(-10))*5. What is r in 22*r**5 + 34*r**w + 23*r**5 + 36*r**3 + 41*r**4 - r**3 + 5*r**2 = 0?
-1, -1/3, 0
Let c(y) = y**2 - 12*y - 12. Let v(m) be the third derivative of m**5/60 + 8*m**2 - 2*m. Let i(f) = c(f) - 4*v(f). Factor i(p).
-3*(p + 2)**2
Let c(l) be the first derivative of -35/2*l**2 + 17 - 15*l - 5/4*l**4 - 25/3*l**3. Factor c(d).
-5*(d + 1)**2*(d + 3)
Let u(y) be the second derivative of 4*y - 1764*y**2 - 28*y**3 + 5 - 1/6*y**4. Suppose u(i) = 0. Calculate i.
-42
Let q be 580 + -578 + ((1 + -2)*-1)/1. Let x(t) be the first derivative of -8 + 8/7*t**2 - 8/7*t - 10/21*t**q + 1/14*t**4. Suppose x(o) = 0. Calculate o.
1, 2
Let l(t) be the second derivative of -t**6/270 - 19*t**5/180 + 79*t**4/36 - 413*t**3/54 + 98*t**2/9 - 1585*t. Factor l(m).
-(m - 7)*(m - 1)**2*(m + 28)/9
Suppose 112/9*w - 2/9*w**2 + 232/9 = 0. What is w?
-2, 58
Let l be (((-930)/(-868))/((-9)/(-7)))/((-55)/(-88)). Factor -19/6*v + l*v**2 + 5/6*v**3 + 1.
(v - 1)*(v + 3)*(5*v - 2)/6
Let j(q) be the first derivative of -q**6/6 + 21*q**5/5 - 21*q**4 + 64*q**3/3 - 138. Determine t so that j(t) = 0.
0, 1, 4, 16
Solve 129*f**3 - 129*f - 9/2*f**4 - 159/2*f**2 + 84 = 0 for f.
-1, 2/3, 1, 28
Suppose 8*h - 1 - 15 = 0. Let g(q) = 2*q - q + q**3 - q**2 + q**h + q**2. Let u(n) = 3*n**3 - n**2 + 23*n - 10. Let p(s) = 5*g(s) - u(s). Factor p(i).
2*(i - 1)**2*(i + 5)
Let b(z) be the first derivative of 8*z**3/15 - 161*z**2 + 402*z/5 - 598. Factor b(d).
2*(d - 201)*(4*d - 1)/5
Let h be 36/63 + (-48)/(-63). Suppose h + 6/5*j - 2/15*j**2 = 0. What is j?
-1, 10
Suppose 0 = -2*m + 2*t - t + 16, 5*m - 2*t = 38. Suppose q - m = 19. Suppose 8*s**4 - 8*s**4 - 16*s**2 - 9*s**4 - 3*s + q*s**2 + 6*s**5 - 3*s**3 = 0. What is s?
-1, 0, 1/2, 1
Let d(k) be the third derivative of -k**7/420 + k**6/180 + k**5/6 + 2*k**4/3 + 49*k**3/6 + 29*k**2. Let c(x) be the first derivative of d(x). Factor c(g).
-2*(g - 4)*(g + 1)*(g + 2)
Let h = 148 + -1034/7. Suppose 0 = -5*x - 10, 4*p - 28 = 2*x - 12. What is s in 0 + 0*s + 2/7*s**5 + 0*s**2 + 0*s**p - h*s**4 = 0?
0, 1
Factor 50 + 85*y + 305652*y**3 + y**4 + 26*y**2 - 5*y**2 - 305665*y**3.
(y - 10)*(y - 5)*(y + 1)**2
Let p = -31871 + 31871. Let h(m) be the third derivative of 0*m + p - 7/270*m**5 + 26*m**2 + 1/54*m**4 + 1/9*m**3 + 1/270*m**6. Find f such that h(f) = 0.
-1/2, 1, 3
Let w be 1170/(-240) + 10/2 + (-3)/(-24). Let i(q) be the first derivative of -3/16*q**2 + w*q + 1/32*q**4 + 0*q**3 + 16. Suppose i(a) = 0. Calculate a.
-2, 1
Let y(f) be the first derivative of 0*f**4 - 2*f**3 - 78 + 0*f - 1/2*f**6 + 3/2*f**2 + 6/5*f**5. Find i such that y(i) = 0.
-1, 0, 1
Let m(y) = -2*y**5 + y**4 - y**2 - 2*y - 1. Let h(i) = 2*i**5 + 77*i**4 - 472*i**3 + 723*i**2 - 318*i + 3. Let c(v) = -h(v) - 3*m(v). Factor c(k).
4*k*(k - 9)**2*(k - 1)**2
Let x be ((-114)/(-16))/((-35172)/360 - -98). Factor 0 + 35/4*a**5 + 5/4*a**2 + x*a**4 + 75/4*a**3 - 5/2*a.
5*a*(a + 1)**3*(7*a - 2)/4
Let n(s) be the third derivative of -77/36*s**4 + 0 - 2*s**2 + 19/9*s**3 + 2/45*s**5 + 0*s. Factor n(i).
2*(i - 19)*(4*i - 1)/3
Factor -130/7*q**2 + 0 + 0*q + 56*q**3 - 6/7*q**4.
-2*q**2*(q - 65)*(3*q - 1)/7
Let z(k) be the first derivative of 3/14*k**4 + 0*k**3 - 198 + 0*k - 4/7*k**2 - 2/35*k**5. Factor z(l).
-2*l*(l - 2)**2*(l + 1)/7
Let j(g) be the first derivative of -16*g**6/3 - 156*g**5/5 - 51*g**4 - 68*g**3/3 + 6*g**2 + 3342. Suppose j(v) = 0. Calculate v.
-3, -1, 0, 1/8
Let u(b) be the third derivative of 0*b - 1/108*b**4 + 2/135*b**5 - 19*b**2 + 0 + 1/540*b**6 - 4/27*b**3. Determine m, given that u(m) = 0.
-4, -1, 1
Let a(b) be the second derivative of -1/24*b**6 + 0*b**2 + 53*b + 2/3*b**4 + 0 + 1/2*b**3 + 3/80*b**5. Factor a(z).
-z*(z - 3)*(z + 2)*(5*z + 2)/4
Let a be -9 - (-8 + (-1365)/(-18)). Let j = 155/2 + a. Solve 0*p - j*p**3 + 0 + 2/3*p**2 = 0.
0, 1
Let f be 280/36 - ((-100)/45 + 2). Suppose 8*k - 136 + f = 0. Factor 5*q + 9*q + q**2 - k*q.
q*(q - 2)
Let o(k) = -k**4 - k**3 - k + 1. Let n be -4 - 184/(-18) - 4/18. Let j(m) = -14*m**4 - 39*m**3 - 10*m**2 + 6*m - 6. Let y(h) = n*o(h) + j(h). Factor y(b).
-5*b**2*(b + 2)*(4*b + 1)
Suppose -1028152/7*h**2 + 36414*h**4 - 32/7 - 11448/7*h - 108834*h**3 = 0. Calculate h.
-1, -2/357, 4
Let g(b) be the first derivative of -2*b**3/15 + 498*b**2/5 - 2258. Factor g(v).
-2*v*(v - 498)/5
Let z(l) be the first derivative of -5/2*