0*f - 24. Let h be (-1 - -5)/(-2*(7 - 6)). Let y(w) = 6*w**2 - 12*w - 24. Let z(g) = h*y(g) + 3*x(g). Factor z(s).
3*(s - 4)*(s + 2)
Let u be (25 - (-312)/(-16)) + -4. Factor -1/10*q**2 - u + 4/5*q.
-(q - 5)*(q - 3)/10
Let s(f) be the first derivative of f**4/10 + 14*f**3/3 - 156*f**2/5 - 2794. Determine h, given that s(h) = 0.
-39, 0, 4
Let h(t) be the second derivative of 7 + 1/60*t**6 - 1/72*t**4 + t + 0*t**2 + 1/30*t**5 - 1/18*t**3. Find a such that h(a) = 0.
-1, 0, 2/3
Let a(u) be the third derivative of u**6/480 + 9*u**5/80 - 63*u**4/32 + 99*u**3/8 - u**2 + 1902*u. Let a(s) = 0. What is s?
-33, 3
Let w(u) be the second derivative of 5/9*u**4 - 24*u + 13/9*u**3 + u**2 + 0. Factor w(m).
2*(m + 1)*(10*m + 3)/3
Let a = -7235/42 - -1230/7. Let x = a - 62/21. Solve -1/4*l**2 + x*l + 0 = 0.
0, 2
Let v(b) be the third derivative of b**6/30 - 14*b**5/15 - 19*b**4/2 + 420*b**3 - 5627*b**2. Factor v(p).
4*(p - 15)*(p - 6)*(p + 7)
Suppose 18 = 8*a - 5*a, 50 = 2*w + 7*a. Let b(p) be the first derivative of 1/9*p**3 + 16/3*p + 4/3*p**2 - w. Determine x, given that b(x) = 0.
-4
Factor 92 + 112/3*r**2 + 388/3*r.
4*(r + 1)*(28*r + 69)/3
Let w = 3583/3 + -1183. Let m = w + -146/15. Factor 16/5 + m*k**2 + 36/5*k.
4*(k + 4)*(2*k + 1)/5
What is q in 12/5 - 4*q - 8/5*q**2 = 0?
-3, 1/2
Let k(t) be the first derivative of 4*t**5/5 - t**4 - 304*t**3 - 440*t**2 + 1792*t - 15416. Suppose k(c) = 0. Calculate c.
-14, -2, 1, 16
Determine z so that 736/3*z + 1/3*z**5 + 128 + 19/3*z**4 + 472/3*z**2 + 46*z**3 = 0.
-6, -4, -1
Let p(k) = -7*k**3 - 128*k**2 + 20*k - 6. Let r(c) = 13 + 32 - 2*c**3 - 43. Let x(d) = -5*p(d) - 15*r(d). Find f such that x(f) = 0.
-10, 0, 2/13
Suppose 12*t + 12322 - 24671 = -12325. Let v = 80 - 236/3. Factor 4/3 + 8/3*g + v*g**t.
4*(g + 1)**2/3
Let d = 49 + -44. Find j such that 4*j**d - 42*j**2 + 6*j**4 + 63*j**3 - j**5 - 20*j**4 - 60*j - 10*j**4 + 72 = 0.
-1, 2, 3
Let v be (5 + (1 - 0))/(98790/13172). Determine f, given that -v - 2/5*f**2 + 6/5*f = 0.
1, 2
Let r be (-13)/((-531)/(-144)*-8 + 23). Factor 2/19*g**r - 10/19 - 8/19*g.
2*(g - 5)*(g + 1)/19
Let u(x) = 6*x - 6. Let j be u(1). Let o be (j - -1253 - 3)*(0 - -1). Solve 2406*i**2 + 1725*i**3 + 2*i**5 - 31*i**2 + 23*i**5 - o*i + 365*i**4 = 0.
-5, 0, 2/5
Let a = 172787/5 + -34554. Determine y so that -a*y**2 - 16/5*y - y**3 - 4/5 = 0.
-2, -1, -2/5
Let m be (609/(-168))/((-9)/(-612)*-17). Factor -5/2*h**2 + m*h + 3.
-(h - 6)*(5*h + 1)/2
What is h in -1149128/5 - 2/5*h**2 + 3032/5*h = 0?
758
Find r such that -36/7*r**5 + 77376/7*r - 136876/7*r**3 - 636*r**4 + 15376/7 + 48612/7*r**2 = 0.
-62, -1/3, 1
Let o be 108/352 - (-2 + 170/80). Suppose -3*x + 4*x = 4*f + 6, 4*f + 4 = 0. Let -6/11*w**x + 0 + 4/11*w**3 + o*w = 0. Calculate w.
0, 1/2, 1
Let u = -289 + 327. Suppose 0 = -17*n + 36*n - u. Factor -2/3*o**n + 4/3 - 2/3*o.
-2*(o - 1)*(o + 2)/3
Let n = -37005/2 - -18504. Solve -1/4*u**4 + n*u**3 - 3/2*u + 1/4*u**2 + 0 = 0 for u.
-1, 0, 1, 6
Let q(o) be the first derivative of -o**3/3 + 7*o**2/2 + 8*o + 2249. Factor q(c).
-(c - 8)*(c + 1)
Let k(v) be the first derivative of 5*v**6/6 - 8*v**5 - 215*v**4/4 + 1510*v**3/3 + 840*v**2 - 3383. Let k(x) = 0. What is x?
-6, -1, 0, 7, 8
Let t(p) be the first derivative of 3/20*p**4 - 21/10*p**2 + 6/5*p**3 + 21 + 0*p. Let t(g) = 0. What is g?
-7, 0, 1
Find m, given that -38 + 0*m**5 + 73 - 19 + m**4 + 40*m + 4*m**2 + 4*m**5 - 3*m**4 - 26*m**3 = 0.
-2, -1, -1/2, 2
Let b(g) be the third derivative of -10/3*g**3 - 4/15*g**6 - 6/5*g**5 + 0 + 30*g - g**2 - 8/3*g**4 - 2/105*g**7. Factor b(j).
-4*(j + 1)**3*(j + 5)
Let i be (-3127)/25 + 224/2800. Let p be (-875)/i*(-2)/(-7). Factor -2/5*c**p + 0 + 2/5*c**3 - 12/5*c.
2*c*(c - 3)*(c + 2)/5
What is n in -50*n**2 - 5/2*n**4 + 250*n - 125/2*n**3 + 240 = 0?
-24, -2, -1, 2
Let w = -14 + 21. Let a(u) be the first derivative of -8*u**2 + 12*u + 17 - w*u**2 + 0*u**3 + 9*u**2 + u**3. Find z, given that a(z) = 0.
2
Let d(q) be the first derivative of -6*q**2 - 118 + 0*q + 3/4*q**4 - 4*q**3 + 3/5*q**5. Factor d(o).
3*o*(o - 2)*(o + 1)*(o + 2)
Let m be 3855/25 - ((-26)/(-5) - 6). Suppose -h = 152 - m. What is x in 0 - 26/9*x**2 + 2/9*x**5 - 14/9*x**4 + 8/9*x + 10/3*x**h = 0?
0, 1, 4
Let x be ((-17)/(-34))/(5/270). What is z in 9*z**3 + 42*z - z**4 - z**5 - x*z + 13*z**2 - 23*z - 12 = 0?
-2, -1, 1, 3
Let z(w) = -w**2 - 3*w - 2. Let n be z(-2). Let s = -15537 + 15539. Determine k, given that n + 0*k**3 + k**s - k**4 + 1/2*k**5 - 1/2*k = 0.
-1, 0, 1
Let m(x) be the second derivative of x**5/25 + 152*x**4/15 + 790*x**3 + 4500*x**2 - 5012*x. Factor m(q).
4*(q + 2)*(q + 75)**2/5
Suppose 3/7*w**2 - 213/7*w + 342 = 0. Calculate w.
14, 57
Solve 0 + 16/5*f**2 + 0*f - 16*f**3 - 44/5*f**4 = 0.
-2, 0, 2/11
Suppose 607 = 5*y + 587. Let z(o) be the third derivative of 0*o + 0*o**3 + 16*o**2 + 1/9*o**5 + 0 + 2/9*o**y. Factor z(w).
4*w*(5*w + 4)/3
Find f such that -68 + 49/2*f**3 - 819*f**2 - 474*f = 0.
-2/7, 34
Let u(s) be the second derivative of s**7/210 + 9*s**6/50 + 167*s**5/100 - 223*s**4/60 - 28*s**3/5 + 98*s**2/5 - 4609*s - 2. Let u(a) = 0. What is a?
-14, -1, 1
Let n = -15983 + 15987. Let h(m) be the first derivative of 1/38*m**n + 16/57*m**3 + 36/19*m + 31 + 21/19*m**2. Let h(u) = 0. What is u?
-3, -2
Let h(b) = -15*b**2 - 3712*b - 238140. Let k(o) = 5*o**2 + 1236*o + 79380. Let m(w) = 6*h(w) + 17*k(w). Factor m(g).
-5*(g + 126)**2
Let q(a) be the second derivative of -32*a**2 + 13/5*a**5 + 0*a**6 - 8*a**3 + 16/3*a**4 + 0 - 2/21*a**7 + 118*a. Solve q(r) = 0 for r.
-2, -1, 1, 4
Let s(c) be the second derivative of c**7/168 - 23*c**6/120 + 17*c**5/10 - 5*c**4 - 3*c + 3618. Determine p so that s(p) = 0.
0, 4, 15
Let a be ((-216)/(-32))/(606/2828). Find v, given that -a + 3/2*v**3 - 69/2*v**2 + 129/2*v = 0.
1, 21
Factor 76/7 - 74/7*q - 2/7*q**2.
-2*(q - 1)*(q + 38)/7
Let w = 141 + -161. Let i(y) = -5*y**2 + 80*y - 24. Let l(j) = -j**2 + 3*j + 1. Let s(u) = w*l(u) - 5*i(u). What is c in s(c) = 0?
2/9, 10
Factor 476*z - 41 + 60*z**2 - 404*z + 0*z**3 - 87 - 4*z**3.
-4*(z - 16)*(z - 1)*(z + 2)
Let f be (-4)/(-14) + 1670/35. Factor -13*b**3 - 63*b**2 + 3*b**4 - 23*b**3 - f*b**2 - 39*b**2 + 183*b**2.
3*b**2*(b - 11)*(b - 1)
Let g(c) be the second derivative of -3*c**5/20 - 17*c**4/2 - 80*c**3 + 3600*c**2 + 11831*c. Solve g(i) = 0.
-20, 6
Let j(m) be the first derivative of -1/3*m**3 + 5/7*m**2 + 1/28*m**4 - 222 + 0*m. Factor j(a).
a*(a - 5)*(a - 2)/7
Let b(z) = -18*z**2 + 14*z - 1. Let o be ((-3 - (-6 - -4)) + -25)/2. Let t(k) = 35*k**2 - 28*k + 3. Let h(u) = o*b(u) - 6*t(u). Factor h(v).
(4*v + 1)*(6*v - 5)
Let n(i) be the second derivative of 3*i**5/20 + 11*i**4/2 - 23*i**3/2 - i - 42. Determine x so that n(x) = 0.
-23, 0, 1
Suppose -3*q - 3847 = -2*b, -48*b + 53*b - 5*q = 9620. Let k = b - 1925. Suppose 0*j + k + 2/11*j**2 + 2/11*j**3 = 0. What is j?
-1, 0
Let v(m) be the first derivative of -5*m**6/12 - 4*m**5/5 + 3*m**4 + m**3/3 - 19*m**2/4 + 3*m - 567. Solve v(p) = 0.
-3, -1, 2/5, 1
Let c(u) be the first derivative of u**6/2340 + 7*u**5/195 + 49*u**4/39 - 23*u**3/3 + 42. Let p(r) be the third derivative of c(r). Suppose p(n) = 0. What is n?
-14
Let s be -1 + 7 + (-18)/108*-18. Let m(a) be the second derivative of 10*a**2 + 0 - 5/4*a**4 - s*a + 0*a**3 + 1/4*a**5. Solve m(w) = 0.
-1, 2
Let z(r) be the third derivative of r**6/120 + r**5/60 - 7*r**4/12 - 4*r**3 + 5798*r**2. Factor z(c).
(c - 4)*(c + 2)*(c + 3)
Let c(d) be the third derivative of 2*d**7/175 + d**6/12 - 97*d**5/150 - 13*d**4/5 + 12*d**3 - 3462*d**2. What is r in c(r) = 0?
-6, -2, 5/6, 3
Let n(c) be the second derivative of 8*c**2 + 0 - 1/10*c**4 - 27*c + 1/150*c**5 + 8/15*c**3. Let x(b) be the first derivative of n(b). Solve x(p) = 0.
2, 4
Let b(w) be the second derivative of -1/28*w**5 - 3/14*w**3 + 1/147*w**7 + 32 - w + 13/84*w**4 - 1/70*w**6 + 1/7*w**2. Suppose b(h) = 0. Calculate h.
-2, 1/2, 1
Let w = -36791/165 + 223. Let g(i) be the third derivative of 0*i + 0 - 1/33*i**4 + 16*i**2 + w*i**5 + 1/132*i**6 + 0*i**3. Factor g(m).
2*m*(m + 2)*(5*m - 2)/11
Let u = 3 + 42. Factor 88 - 20*j + 4*j**3 - u - 43 + 16*j**2.
4*j*(j - 1)*(j + 5)
Let i be ((-350)/280)/(250/(-400)). Factor 2/9*p**3 - 52/9 + 22/9*p + 28/9*p**i.
2*(p - 1)*(p + 2)*(p + 13)/9
Let c(o) be the second deriva