28)**2/19
Let u(k) be the second derivative of -47089*k**5/4 + 708505*k**4/12 - 6515*k**3/6 + 15*k**2/2 - 6625*k. Factor u(y).
-5*(y - 3)*(217*y - 1)**2
Suppose -60 = 8*w - 10*w - 10*w. Let l(k) be the second derivative of 0*k**w + 0*k**4 + 1/6*k**6 + 0*k**3 + 0 + 0*k**2 + 18*k. Factor l(r).
5*r**4
Let p(h) be the first derivative of 220 + 81/8*h**2 + 0*h + 21/20*h**5 + 81/4*h**3 + 135/16*h**4. Factor p(k).
3*k*(k + 3)**2*(7*k + 3)/4
Let w(u) be the third derivative of -u**5/20 + 3*u**4/2 + 109*u**2 + 8. What is d in w(d) = 0?
0, 12
Let i(b) be the second derivative of 0 - 1/48*b**4 - 1/240*b**5 - 3*b**2 - 1/24*b**3 - 14*b. Let p(r) be the first derivative of i(r). Let p(w) = 0. What is w?
-1
Let b = -1927 - -1929. Let x(h) be the first derivative of 0*h**4 + 11*h**3 - 3/5*h**5 + 4 + 24*h - 27*h**b. Suppose x(i) = 0. What is i?
-4, 1, 2
Determine y, given that -4*y**2 - 306 - 155 + 2*y**2 - 62 + 96*y - 51 = 0.
7, 41
Let c be -9*1*((-7)/(-4) - (-213)/(-108)). Factor 19/5*g + 1 - 4/5*g**c.
-(g - 5)*(4*g + 1)/5
Factor 2/13*x**3 + 22/13*x**2 + 0 - 4*x.
2*x*(x - 2)*(x + 13)/13
Factor 104/5*j + 64/5 + 4/5*j**3 + 44/5*j**2.
4*(j + 1)*(j + 2)*(j + 8)/5
Let o(y) be the third derivative of -y**7/105 + 3*y**6/20 - 7*y**5/10 - y**4/12 + 10*y**3 - 295*y**2. Suppose o(h) = 0. What is h?
-1, 2, 3, 5
Suppose 152*a = 175*a - 69. Let p be 69/(-161)*(2 + (-7)/a). Factor 0 - 5/7*c**2 + 0*c + p*c**3.
c**2*(c - 5)/7
Let z be 0*(-6 + 56/8). Solve 8*t**4 + 7*t**2 - t**2 + 4*t**4 + z*t**2 - 16*t**4 + 2*t**3 = 0 for t.
-1, 0, 3/2
Let i(o) = o**5 - o**3 + 1. Suppose v - 2 = -4. Let d(g) be the second derivative of -g**7/42 - g**5/10 - g**2 + 9*g - 2. Let n(t) = v*i(t) - d(t). Factor n(j).
-j**3*(j - 2)*(j + 2)
Suppose 10 = -5*y, -21 + 13 = -3*q - 2*y. Suppose -11 + 11 + q*s**4 + 3*s**4 - s**2 - 6*s**4 = 0. What is s?
-1, 0, 1
Suppose 9*y - 986 = -149. Suppose 30 + 26*k**2 - 18*k**3 - y - 5*k + 35 + 2*k**4 + 23*k = 0. Calculate k.
-1, 1, 2, 7
Factor 328/3*b - 664/3 + 2/3*b**2.
2*(b - 2)*(b + 166)/3
Let z(j) be the first derivative of j**4/18 + 464*j**3/27 - 233*j**2/9 + 1544. Determine n, given that z(n) = 0.
-233, 0, 1
Let i(j) = 32*j**3 - 9887*j**2 - 7067*j + 2827. Let b(a) = -111*a**3 + 34605*a**2 + 24732*a - 9894. Let d(t) = -5*b(t) - 18*i(t). Factor d(u).
-3*(u - 236)*(u + 1)*(7*u - 2)
Let x = -16869 + 16892. Let l(u) be the first derivative of 4/3*u**3 - u**4 + 0*u - 3/5*u**5 + 0*u**2 + x. Let l(z) = 0. What is z?
-2, 0, 2/3
Let h be (33/(-495))/((-12)/(-40)) - 5/(-9). Let a(g) be the first derivative of 0*g + 7/2*g**2 - 34 + h*g**3. Factor a(x).
x*(x + 7)
Suppose 27*z - 26*z = -116. Let y = -102 - z. Factor y*g**3 - 12*g**3 - 21*g**2 - 17*g**3 - 6*g.
-3*g*(g + 1)*(5*g + 2)
Let f(y) be the second derivative of -2*y**7/21 - 2*y**6/5 + y**5/5 + 7*y**4/3 - 8*y**2 + y + 5. Solve f(m) = 0 for m.
-2, -1, 1
Let i(t) be the third derivative of -t**8/448 - 3*t**7/140 - t**6/160 + 3*t**5/10 + 5*t**4/8 - 2119*t**2. Determine y so that i(y) = 0.
-5, -2, -1, 0, 2
Let i(n) be the third derivative of n**5/195 + n**4/52 - 2*n**3/39 + 528*n**2. Factor i(z).
2*(z + 2)*(2*z - 1)/13
Find i such that -860*i**3 - 1173648*i**5 + 1173653*i**5 - 570*i**2 + 45*i**4 - 330*i**2 = 0.
-18, -1, 0, 10
Suppose 27*j - 341 = -44. Suppose 86*x + 2*z = 85*x + 5, 2*x = -5*z + j. Suppose 0 - 1/2*g**x - 5/4*g**2 + 3/4*g = 0. What is g?
-3, 0, 1/2
Let u be -192 + 170 - 1068/(-45). Factor -2/15*h**2 - 8/5 + u*h.
-2*(h - 12)*(h - 1)/15
Let z(c) be the first derivative of c**7/3360 - c**6/360 + c**5/120 - 260*c**3/3 - 79. Let l(h) be the third derivative of z(h). Suppose l(t) = 0. What is t?
0, 2
Solve 3/2*n**3 - 3/2*n + 1/6*n**4 - 3 + 17/6*n**2 = 0 for n.
-6, -3, -1, 1
Solve 262/5*j + 264/5 - 264/5*j**3 + 2/5*j**5 + 4/5*j**4 - 268/5*j**2 = 0 for j.
-12, -1, 1, 11
Suppose -11*x + 476 = 227*x. Let h = 2/11 - -69/44. Find w, given that -49/8 + h*w - 1/8*w**x = 0.
7
Let y be -3 + -5 + 6 - (2 - 7). Suppose 0 = -5*v - 3*k + 6, -y*v - k - 6 = -12. Let -200/3*b**2 + 38/3*b**4 + 0 + 160/3*b**v + 2/3*b**5 + 0*b = 0. What is b?
-10, 0, 1
Let a(u) be the third derivative of 157*u**2 - 5/18*u**4 + 0 + 1/90*u**5 + 0*u**3 + 0*u. Factor a(d).
2*d*(d - 10)/3
Let a(y) = -32 - 3*y + 4*y - 5*y. Let g be a(-10). Factor 2*c - 40*c**3 + g + 12*c**2 - 17*c - 3*c + 38*c**3.
-2*(c - 4)*(c - 1)**2
Let j(b) be the first derivative of 8*b**2 - 90 - b**4 + 32*b - 8/3*b**3. Suppose j(q) = 0. What is q?
-2, 2
Let b(j) = -3*j**4 + j**2 - 1. Let n(p) = 14*p**4 - 52*p**3 - 254*p**2 - 272*p - 78. Suppose 17*h = 27*h - 10. Let t(g) = h*n(g) + 2*b(g). Solve t(s) = 0 for s.
-2, -1, -1/2, 10
Let w(q) be the first derivative of -5/2*q**3 + 6*q + 3/4*q**5 - 1/3*q**6 - 5 + 0*q**2 + 5/6*q**4. Let v(z) be the first derivative of w(z). Factor v(h).
-5*h*(h - 1)*(h + 1)*(2*h - 3)
Let n be 7/7*5 - (-1 + 0)*-2. Let x(b) be the second derivative of -2*b**2 - 8/3*b**4 + 14/3*b**n - 16/5*b**5 + 32*b + 0. Factor x(z).
-4*(z + 1)*(4*z - 1)**2
Suppose -120*i + 122*i = 40. Let n(c) = -21*c**2 - 11*c - 3. Let k(o) = 4*o**2 + o - 1. Let d(q) = i*k(q) + 4*n(q). Factor d(b).
-4*(b + 2)*(b + 4)
Let n = -5103 - -5107. Let u(j) be the first derivative of -4/3*j**3 + 15 - 1/2*j**n + 16*j + 4*j**2. Let u(f) = 0. Calculate f.
-2, 2
Let d be ((-14)/(-21) + (-15)/(-18))*2. Let 9 - 2 - 8 + 15 + 2*w**3 - d*w**2 + 30*w + 21*w**2 = 0. What is w?
-7, -1
Let c be (36 - (3 - 2))/((-32)/(-320)). Let 175*k**5 + 27*k + 174*k**5 - c*k**5 + 8*k**4 - 18*k**3 = 0. What is k?
-1, 0, 3
Suppose 0 = -31*f + 64*f. Let l(z) be the second derivative of 8*z + f - 1/7*z**7 + 0*z**3 - 4/15*z**6 + 1/10*z**5 + 0*z**2 + 1/3*z**4. Factor l(c).
-2*c**2*(c + 1)**2*(3*c - 2)
Let h(d) be the first derivative of -d**4/16 + 125*d**3/12 + 2321. Suppose h(p) = 0. What is p?
0, 125
Let p = -534 - -540. Let k be (-4)/6 - 5/((-45)/p). Factor -2/5*o**5 + k + 0*o + 0*o**3 + 2/5*o**4 + 0*o**2.
-2*o**4*(o - 1)/5
Let d(a) be the third derivative of -a**5/390 + 551*a**4/156 - 548*a**3/13 - 5066*a**2. Find w, given that d(w) = 0.
3, 548
Let -105 + 5/2*w**2 + 205/2*w = 0. Calculate w.
-42, 1
Let k(j) be the third derivative of j**6/420 + 4*j**5/35 + 3*j**4/4 + 220*j**2. Factor k(z).
2*z*(z + 3)*(z + 21)/7
Suppose 63*l - 29 - 129 = -32. Let 0*v - 18/5*v**4 + 12/5*v**3 + 8/5*v**5 - 2/5*v**l + 0 = 0. Calculate v.
0, 1/4, 1
Let y(u) be the first derivative of 8*u - 4 + 2*u**3 - 1/4*u**4 - 6*u**2. Find o, given that y(o) = 0.
2
Let w(s) be the first derivative of -s**4/4 - 6*s**3 - 89*s**2/2 - 72*s + 2441. Suppose w(m) = 0. Calculate m.
-9, -8, -1
Let c(h) = 3*h**3 - 12*h**2 - 52*h - 4. Let q be c(9). Let k = q + -741. Suppose -7/8 - g - 1/8*g**k = 0. What is g?
-7, -1
Let b = -1801 - -1804. Let v(q) = 24*q - 3 - 2*q**3 - 7*q + q**3 - 19*q**2. Let n(i) = -20*i**2 + 16*i - 4. Let p(k) = b*n(k) - 4*v(k). Factor p(z).
4*z*(z - 1)*(z + 5)
Suppose -4*s - 2*v = 3*v - 5, -3*v + 3 = 0. Let i be (-702)/(-8775) + (-146)/(-50). Determine n so that s*n + 3/4*n**2 + 0 + 3/8*n**i - 3/8*n**4 = 0.
-1, 0, 2
Let g(n) = n**3 - 10*n**2 - 3*n - 8. Let h be g(10). Let w = 42 + h. Find o such that 6*o**2 + 1 + 2 + 11*o**4 + 4*o**3 + w*o - 2 - 10*o**4 = 0.
-1
Suppose -189/4*o**2 - 1/4*o**4 - 407/4*o - 25/4*o**3 - 121/2 = 0. Calculate o.
-11, -2, -1
Let a(m) = -8*m**2 - 1038*m + 934. Let h(z) = -z**2 - 15*z. Let s(f) = 3*a(f) - 21*h(f). Factor s(q).
-3*(q - 1)*(q + 934)
Suppose 4 = -2*x - l, 0 = -5*x + 4*l + 66 - 24. Solve -4/3*r**3 + 4/9*r**5 + 68/9*r**x + 0 - 40/9*r - 20/9*r**4 = 0 for r.
-2, 0, 1, 5
Suppose -45/4 + 1/4*c**3 - 41/4*c + 5/4*c**2 = 0. What is c?
-9, -1, 5
Let a be 3424/87312 - (-796)/510. Factor -8/5*j + 0 + a*j**3 + 4/5*j**2 - 4/5*j**4.
-4*j*(j - 2)*(j - 1)*(j + 1)/5
Let o(g) be the second derivative of -33*g**5/100 + 541*g**4/2 + 492*g**3/5 - 6483*g. Factor o(n).
-3*n*(n - 492)*(11*n + 2)/5
Let x(h) = 20*h + 142. Let r be x(-7). Let 5 - 111*z - 185*z**2 - 50*z**r + 30*z - 149*z = 0. Calculate z.
-1, 1/47
Suppose -11*o + 15*o = -22*o. Let f be 4/35 + o - 6/(-21). Factor 1/5*n**3 + f*n + 0 - 3/5*n**2.
n*(n - 2)*(n - 1)/5
Factor 2/3*s**2 - 84*s + 496/3.
2*(s - 124)*(s - 2)/3
Let r be (10 - -260)/(-10)*(-1)/3. Factor 6*x - 21*x - 2*x**2 + 26 + r*x - 18*x.
-2*(x - 1)*(x + 13)
Let l(z) be the second derivative of -4*z - 77/18*z**3 