irst derivative of 21 - f*r - r**2 - 1/12*r**3. Factor x(a).
-(a + 4)**2/4
Let z(r) be the first derivative of r**6/18 + 18*r**5/5 + 451*r**4/6 + 4412*r**3/9 + 115*r**2/2 - 26450*r/3 - 8600. Suppose z(m) = 0. What is m?
-23, -5, 2
Suppose 100 = 4*q - 3*h, -6*q + 10*q = 2*h + 104. Factor -6*b**3 - b + 23*b**5 - 52*b**5 + 4*b**2 + q*b**5 + 4*b**4.
-b*(b - 1)**4
Let p be 15*(-12)/10 + 20. Let g(s) be the first derivative of 0*s + 37 + 7/9*s**3 - 3/4*s**4 - 1/18*s**6 - 1/3*s**p + 1/3*s**5. Factor g(l).
-l*(l - 2)*(l - 1)**3/3
Let n(k) = 4*k - 23. Let z be n(8). Let l be 6/(-10)*(-12 + 78/z). Determine r, given that 2/3*r**3 + 2/3*r + 0 + 4/3*r**l = 0.
-1, 0
Suppose 0 = -6*h - 19 + 37. What is p in -52*p - 4*p**2 - 580 + 226 - 322 + h*p**2 = 0?
-26
Find k such that -61/5*k + 26 + 7/5*k**2 = 0.
26/7, 5
Let l(y) = 191*y - 2481. Let o be l(13). Factor 8/9*t**o + 0 - 2/3*t**4 + 0*t - 8/9*t**3.
-2*t**2*(t + 2)*(3*t - 2)/9
Let v(x) be the third derivative of 2*x**7/525 - 59*x**5/75 + 3*x**4 + 160*x**3/3 - 14831*x**2. Solve v(j) = 0.
-8, -2, 5
Let t(i) = -2*i**3 + i. Let h(z) = 28*z**3 - 12*z**2 - 42*z - 8. Suppose -42 = -58*r + 65*r. Let n(y) = r*t(y) - h(y). Suppose n(d) = 0. What is d?
-1, -1/4, 2
Let n = 16 - 14. Suppose -4 = -n*o - 6, 4*o = -2*p. Suppose 4*m**2 - 4*m**2 - 5*m**p + 20 = 0. What is m?
-2, 2
Factor -b**3 + 137*b - b**3 + 3814*b**2 + 157*b + 148 - 3670*b**2.
-2*(b - 74)*(b + 1)**2
Let p = -6 - -8. Let k(z) be the first derivative of -16*z**3 + 4*z + 2 + 14 - 9*z**2 - p*z**4 + 24*z**3. Factor k(q).
-2*(q - 2)*(2*q - 1)**2
Let 471665*a**3 + 12*a**4 + 480*a - 235529*a**3 - 235821*a**3 + 1998*a**2 = 0. What is a?
-16, -10, -1/4, 0
Let v be ((-22)/(-4) - (-12)/((-60)/35))*(-104)/78. Factor -1/2*j**3 + 0 - 3/2*j**v + 0*j.
-j**2*(j + 3)/2
Suppose 31/8*k**4 + 0 - 64*k + 111/4*k**3 - 40*k**2 + 1/8*k**5 = 0. Calculate k.
-16, -1, 0, 2
Let q be (12/(-15))/(-3*(-7)/(-1575)). Let b be (-18)/q*-2 + 0/(-2). Solve 6/5*j**2 + 0 - 9/5*j + b*j**3 = 0.
-3, 0, 1
Suppose -9*y**2 + 2250 + 120*y + 255*y - y**4 + 33*y**3 - 111*y**2 - 124*y**2 - 61*y**2 = 0. What is y?
-2, 5, 15
Factor -9/2*a**2 + 1/4*a + 9/2 - 1/4*a**3.
-(a - 1)*(a + 1)*(a + 18)/4
Suppose 0*b - 3*b = 16*b - 76. Let q(g) be the third derivative of 0 - 5/96*g**6 + 1/8*g**5 + 0*g - 21*g**2 + 1/3*g**3 + 3/8*g**b. Factor q(w).
-(w - 2)*(5*w + 2)**2/4
Let p = 111191/7 - 15883. Determine r, given that -4/7 - 6/7*r**2 + p*r - 2/7*r**3 + 2/7*r**4 = 0.
-2, 1
Let f(r) be the third derivative of 1/1680*r**7 + 0*r - 1/240*r**5 - 1/16*r**4 + 31*r**2 + 0 + 1/320*r**6 - 1/6*r**3. Factor f(x).
(x - 2)*(x + 1)*(x + 2)**2/8
Let u(s) = -2*s**3 - 3*s**2 + s + 1. Let k(f) = -15*f**3 - 48*f**2 - 179*f - 265. Let i(z) = 5*k(z) - 35*u(z). Determine t so that i(t) = 0.
-17, -8, -2
Let c(f) be the first derivative of -3*f**4/4 + 190*f**3 - 13818*f**2 + 53016*f - 1974. Solve c(l) = 0 for l.
2, 94
Let w(y) be the second derivative of -y**5/80 - 175*y**4/16 - 131*y**3/6 + 7212*y. Factor w(v).
-v*(v + 1)*(v + 524)/4
Let l(v) be the third derivative of v**5/60 - 43*v**4/8 + 904*v**3/3 - 27*v**2 + 16*v - 1. Factor l(h).
(h - 113)*(h - 16)
Let j = -352/31 - -1831/93. Factor 20/3*b**4 - 5/3*b**5 + 0*b - j*b**3 + 10/3*b**2 + 0.
-5*b**2*(b - 2)*(b - 1)**2/3
Let o be 168/288 + 15/(-900)*-10. Factor 0 + 1/4*h**2 + o*h.
h*(h + 3)/4
Let p be (2/14 + 0)/((-5208)/(-164052)). Let q = -207/2 + 109. Let -q*o**3 - p*o + 3/2*o**4 + 1 + 15/2*o**2 = 0. What is o?
2/3, 1
Let f(y) = 5*y**4 - 122*y**3 - 268*y**2 - 144*y. Let d(j) = 15*j**4 - 367*j**3 - 803*j**2 - 429*j. Let o(q) = 3*d(q) - 8*f(q). Find s, given that o(s) = 0.
-1, 0, 27
Factor -336/5 - 2/5*c**3 + 68/5*c + 54/5*c**2.
-2*(c - 28)*(c - 2)*(c + 3)/5
Let v be 9/(-12) + (-50)/(-8) - (-74 + 72). Let r(q) be the second derivative of 0 + v*q**2 + 25/12*q**4 + 28*q - 35/6*q**3 - 1/4*q**5. Let r(a) = 0. What is a?
1, 3
Let f = -563441/5 - -114189. Let v = f - 1500. Factor -2/5*w**3 + 0*w**2 + 6/5*w - v.
-2*(w - 1)**2*(w + 2)/5
Factor 216/7 - 356*p + 92/7*p**2.
4*(p - 27)*(23*p - 2)/7
Let f = -729782 + 729784. Factor 0 - 1/5*s - 13/5*s**f.
-s*(13*s + 1)/5
Factor -20 + 20/7*o**2 + 22/7*o + 2/7*o**3.
2*(o - 2)*(o + 5)*(o + 7)/7
Let d(u) be the second derivative of u**4/18 + 290*u**3/3 + 869*u**2/3 - 2392*u. Let d(z) = 0. Calculate z.
-869, -1
Let m(a) be the first derivative of 29*a**4/4 + a**3/3 - 58*a**2 - 4*a - 1024. Suppose m(v) = 0. Calculate v.
-2, -1/29, 2
Let r be (4884/(-185))/(-66) + (-4)/10. Solve -8*z**2 + 26/3*z**3 - 4*z**4 + 2/3*z**5 + r + 8/3*z = 0.
0, 1, 2
Let r be 986/609 - (-252)/(-196). Factor -r*a**2 - 4/3*a + 4/3 + 1/3*a**3.
(a - 2)*(a - 1)*(a + 2)/3
Let o(x) be the second derivative of -x**7/105 + x**6/3 - 23*x**5/25 - x**4/15 + 47*x**3/15 - 23*x**2/5 - 2*x + 1850. Determine v, given that o(v) = 0.
-1, 1, 23
Determine k, given that 188/11*k**2 - 2/11*k**3 + 776/11*k + 784/11 = 0.
-2, 98
Factor -116/9*x - 2/9*x**2 + 122/3.
-2*(x - 3)*(x + 61)/9
Let r = -3063 - -2088. Let z be r/(-26)*2*(-2)/(-18). Factor 0 - 1/3*y**3 - 10/3*y**2 - z*y.
-y*(y + 5)**2/3
Let s(b) be the second derivative of 4*b**7/5 - 73*b**6/60 + 7*b**5/10 - b**4/6 - 47*b**2/2 + 36*b. Let x(p) be the first derivative of s(p). Solve x(m) = 0.
0, 1/4, 2/7, 1/3
Suppose 810*c + 218700 + 3/4*c**2 = 0. What is c?
-540
Let u(j) be the second derivative of -2 + 33*j - 3/20*j**5 + 3/2*j**3 + 3*j**2 + 0*j**4. Factor u(n).
-3*(n - 2)*(n + 1)**2
Let a = 39020 - 39017. Determine z, given that -4/3*z**2 - 4/3*z**a + 0*z + 13/3*z**4 - 5/3*z**5 + 0 = 0.
-2/5, 0, 1, 2
Let b(c) be the second derivative of 3*c**3 - 9/10*c**5 + 0 + 103*c - 1/30*c**6 - 4/3*c**4 + 17/2*c**2. Solve b(r) = 0 for r.
-17, -1, 1
Suppose 7*b - 2*p = 10, -b - 20 = 12*p - 8*p. Let s(d) be the second derivative of 1/3*d**2 - 19*d + 1/36*d**4 - 1/6*d**3 + b. Factor s(k).
(k - 2)*(k - 1)/3
Let h be (-3)/(-4) + (-26510)/34760. Let o = 709/158 - h. Factor o*b - 4 - 1/2*b**2.
-(b - 8)*(b - 1)/2
Let o = 1377 + -4130/3. Let w(x) be the first derivative of -4 + 1/18*x**3 - o*x + 1/12*x**2. Suppose w(h) = 0. Calculate h.
-2, 1
Let a = 637 + -670. Let f be 8*1*(a/6 + 6). Determine j so that -10/3*j + 2/3*j**2 + f = 0.
2, 3
Let z be (2340/351)/(-1 - (-74)/72). Suppose -4*f**2 - 2762 + z*f - 85 + 960 - 1713 = 0. What is f?
30
Let l(a) be the third derivative of -a**6/30 + 99*a**5/5 + 2*a**4/3 - 792*a**3 - 6546*a**2. Determine u, given that l(u) = 0.
-2, 2, 297
Let u be ((-448)/12)/(-14)*66/220. Factor 4/5*o + u + 1/5*o**2.
(o + 2)**2/5
Let w(n) be the first derivative of 13*n**6/1440 - n**5/10 - n**4/6 - 2*n**3/3 + 12*n**2 + 102. Let b(a) be the third derivative of w(a). Factor b(x).
(x - 4)*(13*x + 4)/4
Let m be (-5 + 4 + -3)/((-2)/(-20)). Let v = m + 45. Factor 5*s**4 - 20*s - 10 + v - 7 + 20*s**3 - 8 + 15*s**2.
5*(s - 1)*(s + 1)*(s + 2)**2
Suppose 44*s - 11*s = 60 + 6. Find c such that 3/5*c**3 - 3/5*c + 3/5*c**s - 3/5 = 0.
-1, 1
Find p such that 121*p**2 + 100 - 1/3*p**5 - 640/3*p - 7/3*p**3 - 5*p**4 = 0.
-10, 1, 3
Let s(g) be the third derivative of -g**5/20 + 483*g**4/4 - 233289*g**3/2 - 18*g**2 - 25. Factor s(p).
-3*(p - 483)**2
Determine k, given that 339 + 150*k - 2*k**2 + 78 + 197 + 101 - 407 = 0.
-2, 77
Let c = -909 - -224. Let z = c + 688. Factor 1/3*i + 0 + 0*i**2 - 1/3*i**z.
-i*(i - 1)*(i + 1)/3
Suppose 0 = 4*y - h - 17, -71*h = 3*y - 75*h - 29. Let u(p) be the first derivative of 15/4*p**4 + 6*p - 2*p**y + 13 - 15/2*p**2. Solve u(a) = 0.
-1, 2/5, 1
Let c(r) be the third derivative of -221*r**5/45 + 49*r**4/4 + r**3/9 + 312*r**2. Factor c(f).
-2*(f - 1)*(442*f + 1)/3
Let m = -325593/5 - -65183. Find t such that -4266/5*t + 1458/5 - 6/5*t**3 - m*t**2 = 0.
-27, 1/3
Let s(l) be the first derivative of -2*l**3/33 + 410*l**2/11 - 84050*l/11 + 79. What is i in s(i) = 0?
205
Let u(g) be the first derivative of -34 - g**3 + 15/2*g**2 + 18*g. Factor u(h).
-3*(h - 6)*(h + 1)
Let -24 + 34/3*d**2 + 40/3*d - 2/3*d**3 = 0. What is d?
-2, 1, 18
Let b = 687 - 685. Let j(h) be the third derivative of 0*h + 1/27*h**3 - 1/540*h**6 - 5*h**b + 1/108*h**4 - 1/270*h**5 + 0. Factor j(u).
-2*(u - 1)*(u + 1)**2/9
Let t be 76/95 - 140/4550. Factor -4/13*r**3 - 24/13*r**2 + 2/13*r**4 - 28/13*r - t.
2*(r - 5)*(r + 1)**3/13
Let w = -34630/39 - -888. Let q(g) be the first derivati