2/7*s**2 = 0.
6
Let k(i) be the second derivative of 1/60*i**6 - 7/40*i**5 + 0*i**2 - i**3 - 220*i + 0 + 2/3*i**4. Factor k(x).
x*(x - 3)*(x - 2)**2/2
Let b(c) = 96*c + 143. Let f be b(-3). Let a be ((-58)/f)/(8/450). Factor -15*i - a - 5/2*i**2.
-5*(i + 3)**2/2
Factor 25/6 - 5/3*p + 1/6*p**2.
(p - 5)**2/6
Let b be 1953/(-105) + 20 - (-2 - -3). Let q(a) be the first derivative of 4/25*a**5 + b*a**4 + 0*a**3 - 4/5*a**2 - 37 - 4/5*a. What is f in q(f) = 0?
-1, 1
Let b(l) be the third derivative of l**5/510 - 149*l**4/102 + l**2 - 1349. Factor b(j).
2*j*(j - 298)/17
Let p(u) be the first derivative of 3/5*u**2 + 0*u**4 + 17 - 7*u - 7/30*u**3 + 1/100*u**5. Let i(o) be the first derivative of p(o). Let i(w) = 0. Calculate w.
-3, 1, 2
Suppose 7*u = 2*u + 25, -2*z - 5*u = -115. Suppose 51 = -28*d + z*d. Factor 1/3 + 1/3*n - 1/3*n**d - 1/3*n**2.
-(n - 1)*(n + 1)**2/3
Factor 100*x + 27*x**4 - 252*x**2 - 76*x**2 - 11*x**4 + 424*x**3 - 27 + 105*x**2 - 290*x.
(x - 1)*(x + 27)*(4*x + 1)**2
Factor 25*d + 10*d**2 + d**3 - 4*d + 29722 - 29722.
d*(d + 3)*(d + 7)
Factor 1/2*t**3 + 363/2 + 187/2*t + 25/2*t**2.
(t + 3)*(t + 11)**2/2
Let d be ((-1)/4)/(17/(-17)). Let n = -23783/4 - -5946. Let 0*g + 1/4*g**5 + n*g**4 - d*g**2 - 1/4*g**3 + 0 = 0. What is g?
-1, 0, 1
Let r be ((-274)/3425)/((-2)/30) - 12/15. Factor -24/5 + 16/5*k - r*k**2.
-2*(k - 6)*(k - 2)/5
Let a = 86303 - 86299. Let 12/7*f**a + 0*f + 0 + 12/7*f**3 + 4/7*f**5 + 4/7*f**2 = 0. Calculate f.
-1, 0
Let q(x) = 10*x**2 + 2*x + 17. Let r be q(0). Factor -12*j**2 + 25*j**2 - 64*j - r*j**2.
-4*j*(j + 16)
Find v, given that -76/13*v**2 + 2/13*v**4 - 72/13*v**3 + 72/13*v + 74/13 = 0.
-1, 1, 37
Let p = 97011 - 193661/2. Let -1/2*u**2 - p + 19*u = 0. What is u?
19
Let w(s) be the first derivative of -s**4/12 - 689*s**3/9 - 39445*s**2/2 + 39675*s - 1063. Factor w(m).
-(m - 1)*(m + 345)**2/3
Let b(n) = -5*n**3 - 36*n**2 - 199*n - 290. Let k(i) = -12*i**3 - 71*i**2 - 397*i - 581. Let h(p) = 5*b(p) - 2*k(p). Suppose h(o) = 0. What is o?
-32, -3
Let m(n) be the second derivative of n**4/42 - 32*n**3/21 + 220*n**2/7 - 4*n - 340. Suppose m(y) = 0. What is y?
10, 22
Solve 8960/3 + 40*g**4 - 1600*g + 620/3*g**3 - 5/3*g**5 - 1520/3*g**2 = 0 for g.
-4, 2, 28
Let m(s) be the third derivative of 1/200*s**6 + 0*s + 0*s**3 - 28/25*s**5 + 392/5*s**4 - 295*s**2 + 0. Factor m(c).
3*c*(c - 56)**2/5
Let t = 7070 + -7065. Let b(c) be the first derivative of 0*c + 0*c**2 + 4 + 0*c**3 + 0*c**4 + 1/21*c**6 + 4/35*c**t. Let b(z) = 0. What is z?
-2, 0
Let d(z) = -2*z**2 - 65*z - 120. Let m be d(-30). Let j be ((-12)/30)/((-42)/m). Factor -8/7 - 10/7*g - j*g**2.
-2*(g + 1)*(g + 4)/7
Suppose 24*q - 2617 = 4175. Let g = -280 + q. What is o in -6*o - 57/4*o**3 + 3 - g*o**4 - 81/4*o**2 = 0?
-2, -1, 1/4
Factor 2/15*u**2 + 1236/5*u + 572886/5.
2*(u + 927)**2/15
Let s(t) = 12*t**2 - 112*t + 276. Let n(o) = -14*o**2 + 114*o - 276. Let k(b) = -4*n(b) - 5*s(b). Factor k(u).
-4*(u - 23)*(u - 3)
Suppose -38 = 101*i - 11*i - 218. What is l in 93/5*l**3 + 3/5*l**4 + 891/5*l**i - 7986/5 + 363*l = 0?
-11, 2
Suppose -6*a + 0*a + 4*c = -146, -68 = -3*a + c. Let k(u) be the first derivative of -7 + 6/5*u**5 + 17/2*u**4 + 38/3*u**3 - 36*u - a*u**2. Factor k(h).
2*(h - 1)*(h + 3)**2*(3*h + 2)
Let c(y) be the second derivative of 0 - 5/21*y**4 - 1/70*y**5 - 91*y - 36/7*y**2 - 11/7*y**3. Solve c(g) = 0.
-4, -3
Let p(b) = -b**2 - 59*b - 318. Let x be (-1305)/203 + (-6)/(-14). Let j be p(x). Factor -2/11*h**4 + j + 4/11*h**3 + 14/11*h**2 + 8/11*h.
-2*h*(h - 4)*(h + 1)**2/11
Let p(f) be the third derivative of f**5/12 + 530*f**4/3 - f**2 - 31*f + 1. Factor p(a).
5*a*(a + 848)
Let b(h) be the second derivative of h**5/160 - h**4/48 - h**3/12 - 14*h**2 - 69*h. Let c(v) be the first derivative of b(v). Factor c(i).
(i - 2)*(3*i + 2)/8
Factor 0 - 1/2*z**4 + 2*z + z**3 + 7/2*z**2.
-z*(z - 4)*(z + 1)**2/2
Determine k so that 6537 - 1672*k + 1867 + 49*k**3 - 51*k**3 + 104*k**2 + 1334 - 1994 = 0.
8, 22
Let n(q) = -72*q**3 - 2594*q**2 - 18137*q + 574. Let x(b) = 25*b**3 + 865*b**2 + 6046*b - 192. Let o(d) = 6*n(d) + 21*x(d). Let o(v) = 0. Calculate v.
-14, 1/31
Let t = 12117 - 12113. Let v(i) be the third derivative of -1/30*i**6 - 2*i**t + 16/3*i**3 - 24*i**2 + 0*i + 0 + 2/5*i**5. Factor v(l).
-4*(l - 2)**3
Factor -32*d**2 + 2/7*d**4 - 1408/7*d + 0 + 10/7*d**3.
2*d*(d - 11)*(d + 8)**2/7
Solve -16488/5*v - 9072/5 - 96/5*v**4 + 1458/5*v**3 - 1172*v**2 + 2/5*v**5 = 0.
-1, 14, 18
Let b(q) = -1723*q - 82702. Let k be b(-48). Factor 0 + 24/5*c + 44/5*c**k + 16/5*c**3 - 4/5*c**4.
-4*c*(c - 6)*(c + 1)**2/5
Let b = 6912 + -6912. Let o(m) be the first derivative of 1/5*m**2 - 2/15*m**3 + b*m + 5. Factor o(s).
-2*s*(s - 1)/5
Let q = 156716 + -313371/2. Find c, given that 10*c**5 + 1/2*c + 1/2*c**4 + 1 - 43/2*c**2 - q*c**3 = 0.
-1, -1/4, 1/5, 2
Let k = -497 + 518. Factor -26*d**5 - k*d**3 + 21*d**5 - 60*d**2 - 63*d**3 + 4*d**3 - 35*d**4.
-5*d**2*(d + 2)**2*(d + 3)
Factor -1/12*z**2 - 55/3 + 221/12*z.
-(z - 220)*(z - 1)/12
Determine v so that -28*v - 5 + 56*v + 5 - 175*v**2 - 23*v = 0.
0, 1/35
Let r be (2/(-10))/(432/(-400))*2001. Let j = 371 - r. Factor 0 + 2/9*x**2 + j*x.
2*x*(x + 2)/9
Let v be (12/(-4))/(24/(-7) - -3). Let m = v - -64. Suppose -76*u**3 - 2*u**5 - m*u**3 + 6*u**4 + 143*u**3 = 0. Calculate u.
0, 1, 2
Let o(x) be the first derivative of 1587/5*x**2 - 24334/5*x + 1/10*x**4 - 46/5*x**3 + 34. Determine v so that o(v) = 0.
23
Let t be (2187/648)/(6/8). Suppose 23*w = -0*w + 92. Factor 3/4*p**w + 27/4*p**2 - t*p**3 + 0*p + 0.
3*p**2*(p - 3)**2/4
Find f such that -2/7 - 3486014*f**2 - 1996*f = 0.
-1/3493
Let j be (-160)/(-42) - 3/(-3 - (-1530)/272). Let z = 1/204 + 271/204. Solve 22/3*a**3 - 14/3*a + 10/3*a**4 - 14/3*a**2 + z - j*a**5 = 0.
-1, 1/4, 1, 2
Let i(n) = n**2 + 18*n + 1. Let m(h) = -3*h**3 + 665*h**2 - 681*h - 1. Let g(j) = -i(j) - m(j). Solve g(d) = 0.
0, 1, 221
Find i such that 3*i**2 + 3*i**4 + 0*i**2 - 2069*i**5 - 3*i**2 - 36*i**3 + 2072*i**5 = 0.
-4, 0, 3
Let o(a) be the second derivative of 1/40*a**6 - 10*a**2 + 0 + 0*a**5 - 19*a - 1/2*a**4 + 0*a**3. Let l(h) be the first derivative of o(h). Factor l(y).
3*y*(y - 2)*(y + 2)
Let m be (-33 + 11799/378)/(10/(-12)). Suppose 9/7*n**4 - 29/7*n**3 - m*n + 2/7 + 33/7*n**2 = 0. What is n?
2/9, 1
Find d such that 229*d**2 - 417*d**2 - 610 + 2*d**3 - 1218*d - 34*d**2 - 384*d**2 = 0.
-1, 305
Let p = 47 - 42. Suppose -20 = 5*q + 5*t, -p*q = 4*t - 5*t - 4. Suppose 0 - 4/11*o**2 + q*o + 2/11*o**3 = 0. What is o?
0, 2
Let o be (1/((-24)/(-20)))/(6/(-36)). Let r be 334/501*o/(5/(-6)). Find q such that 2/15*q**5 + 12/5*q**2 + 16/15*q**r + 0*q + 14/5*q**3 + 0 = 0.
-3, -2, 0
Let r(l) be the third derivative of -1/95*l**5 + 0*l + 1/1140*l**6 + 132*l**2 + 2/57*l**4 + 0*l**3 + 0. Factor r(d).
2*d*(d - 4)*(d - 2)/19
Let -99*k**2 + 0 - 33/2*k**3 - 42*k - 27/4*k**5 + 207/4*k**4 = 0. What is k?
-2/3, 0, 2, 7
Let w(n) be the second derivative of -n**7/462 - 17*n**6/330 + 8*n**5/55 + 100*n**4/11 + 192*n**3/11 - 419*n - 4. Find f, given that w(f) = 0.
-12, -1, 0, 8
Determine d, given that 31 + 34*d + 128*d - 254*d - 10*d**2 + 7*d**2 = 0.
-31, 1/3
Let k(o) = -o**3 - o**2 + 6. Let m(a) = -2*a**3 - 506*a**2 + 4700*a - 11464. Let v(n) = -6*k(n) + m(n). Solve v(x) = 0 for x.
5, 115
Let w be 525/168*9/((-378)/(-224)). Find g such that 0 + 4/3*g**5 + w*g**4 - 22/3*g - 2/3*g**2 + 22*g**3 = 0.
-11, -1, 0, 1/2
Suppose -2*d + 3*m = 48 - 165, -4*d - 5*m = -245. Suppose -2*l + d = 2*l. What is g in 2*g - 4*g + l*g**2 + 3*g**3 + 12 + 12*g + 14*g = 0?
-2, -1
Let f(g) be the second derivative of 26*g + 1/60*g**6 - 3*g**2 + 0 - 1/10*g**5 + 1/6*g**4 + 0*g**3. Let l(q) be the first derivative of f(q). Factor l(m).
2*m*(m - 2)*(m - 1)
Suppose 20 = l - 4*t, 3*t = 2*l + t - 28. Let r(m) = l + 11 - 40 + 16. Let w(j) = 4*j**2 + 4*j - 16. Let c(g) = 8*r(g) - w(g). Suppose c(q) = 0. Calculate q.
-2, 1
Let m(w) = 15*w**3 + 62*w**2 - 44*w - 119. Let k(f) = -5*f**3 - 21*f**2 + 15*f + 39. Let h(z) = -7*k(z) - 2*m(z). Let h(n) = 0. Calculate n.
-5, -1, 7/5
Let n = -675602 - -675614. Suppose 9/2*h**4 - 3/4*h**5 - n*h**2 + 15/2 + 9/4*h - 3/2*h**3 = 0. What is h?
-1, 1, 2, 5
Let y be ((-18)/(-99) - 306/(-11)) + 2. Suppose -9*l + y = -3*l. Factor 35*g**3 + 1 - l*g**