/175 - 3*k**6/50 + 615*k**2 - k - 4. Factor q(p).
3*p**3*(p - 2)*(p + 6)/5
Let j(i) be the third derivative of 0*i + 0*i**3 + 2 + 1/90*i**6 + 4/9*i**4 + 23*i**2 + 2/15*i**5. Let j(a) = 0. Calculate a.
-4, -2, 0
Let v(i) = -3*i**4 + i**2. Let c(a) = -16*a**4 + 500*a**3 - 14844*a**2 - 49152*a. Let o(x) = -c(x) + 4*v(x). Factor o(w).
4*w*(w - 64)**2*(w + 3)
Let b(f) be the third derivative of f**8/252 - 32*f**7/315 + f**6/6 - 639*f**2. Factor b(y).
4*y**3*(y - 15)*(y - 1)/3
Factor 57/5*u + 3/5*u**2 - 198/5.
3*(u - 3)*(u + 22)/5
Let k(l) be the third derivative of l**7/504 + 5*l**6/144 + l**5/4 - 27*l**4/8 - 14*l**2. Let y(o) be the second derivative of k(o). Find x such that y(x) = 0.
-3, -2
Let s be (5*44/(-4620))/((-4)/42). Let -1/2*m**2 - 1/4*m + s + 1/4*m**3 = 0. Calculate m.
-1, 1, 2
Let m be (-15)/(-6) + 15/(-6) - 2. Let v be 3/m + ((-27)/(-3) - 3). Find d such that 4 + v*d**3 + 14*d + 15*d**2 = 0.
-2, -2/3
Let v(x) be the third derivative of 5*x**8/336 - 25*x**7/42 - x**6/24 + 25*x**5/12 + 568*x**2. Let v(b) = 0. What is b?
-1, 0, 1, 25
Let z(k) be the first derivative of 1/4*k**3 - 12 + 1/48*k**6 + 0*k**2 + 1/32*k**4 - 1/10*k**5 + 0*k. Factor z(y).
y**2*(y - 3)*(y - 2)*(y + 1)/8
Let c(l) = 8252*l + 57788. Let h be c(-7). Suppose -72/13 - 26*j**2 - h*j = 0. Calculate j.
-6/13
Let m(a) be the second derivative of -15*a**3 + 1/2*a**4 - 93*a + 54*a**2 + 0 - 1/15*a**6 + 1/2*a**5. What is l in m(l) = 0?
-3, 2, 3
Let f = 1281 - 1278. Suppose 0 = 2*o - 5*j + 21, 22 = 5*o + j + 7. Factor 441/5*y + 1029/5 + 63/5*y**o + 3/5*y**f.
3*(y + 7)**3/5
Let q(h) be the second derivative of h**9/1008 + h**8/112 + h**7/40 + h**6/40 - 71*h**3/6 + 44*h. Let g(r) be the second derivative of q(r). Factor g(o).
3*o**2*(o + 1)**2*(o + 3)
Let p(v) be the first derivative of -7/8*v**4 + 1/8*v**6 + v**2 - 1/20*v**5 + 1/3*v**3 + 0*v + 124. Find f such that p(f) = 0.
-2, -2/3, 0, 1, 2
Factor 40*o + 0*o + 5*o**3 - 23268*o**2 - 15*o**3 - o**4 + 23276*o**2 - o**4.
-2*o*(o - 2)*(o + 2)*(o + 5)
Let r be (-346)/4844*(-224)/120. Factor 24/5*z + 14/3 + r*z**2.
2*(z + 1)*(z + 35)/15
Let x(y) = -168*y**2 + 432*y - 183. Let j(w) = -42*w**2 + 109*w - 44. Let a(l) = -21*j(l) + 5*x(l). Suppose a(r) = 0. Calculate r.
1/14, 3
Let g be (3 + -3)*((18 - (-240)/(-15)) + -1). Find j, given that 4/9 + 16/9*j**4 - 20/9*j**2 + 0*j + g*j**3 = 0.
-1, -1/2, 1/2, 1
Let g(v) be the first derivative of 2/3*v**3 - 5/14*v**4 + 2/35*v**5 + 0*v + 72 - 3/7*v**2. Determine j so that g(j) = 0.
0, 1, 3
Let w(z) be the third derivative of -77*z**2 - 1/20*z**5 - 441/2*z**3 + 21/4*z**4 + 0*z + 0. Suppose w(b) = 0. Calculate b.
21
Factor -4*h**2 - 51*h**2 + 0*h**2 - 4*h**3 - 20*h + 19*h**3.
5*h*(h - 4)*(3*h + 1)
Suppose 0 = 5*b - d - 8 + 12, -12 = -2*b - 3*d. Let s be (3 + b)/((-987)/(-154) + -6). Factor s + 2/3*x**2 - 8*x.
2*(x - 11)*(x - 1)/3
Let f(j) = 4*j**4 + 133*j**3 + 539*j**2 + 440*j - 152. Let a(z) = 6*z**4 + 133*z**3 + 538*z**2 + 438*z - 153. Let c(t) = 4*a(t) - 5*f(t). Factor c(u).
(u - 37)*(u + 2)**2*(4*u - 1)
Let k(j) be the first derivative of 17 + 90*j - 5/3*j**3 - 35/2*j**2. Factor k(p).
-5*(p - 2)*(p + 9)
Let r = 1346565/7 - 190959. Let f = r - 1407. Factor 3/7*c**2 + 0 - f*c.
3*c*(c - 1)/7
Let k be (267/(-4539))/(48/(-17)). Let r(f) be the second derivative of 1/8*f**2 - k*f**3 + 0 - 1/48*f**4 + 1/160*f**5 + 31*f. Factor r(y).
(y - 2)*(y - 1)*(y + 1)/8
Let f(r) = 16*r**2 - 151*r + 358. Let x(z) = 33*z**2 - 303*z + 738. Let p(b) = 9*f(b) - 4*x(b). Factor p(l).
3*(l - 10)*(4*l - 9)
Suppose 16 = 3*k + l, -4*k + 3*l = -4 - 26. Let x be k/14 + (-15)/525. Suppose x*r**4 - 2/5 + 4/5*r**3 - 4/5*r + 0*r**2 = 0. What is r?
-1, 1
Let j be (-66)/187 - (-30)/85 - (-6 - 0). Factor -3/5*f**2 + 72/5 - j*f.
-3*(f - 2)*(f + 12)/5
Suppose -5*c - 2*a + 306 = 334, 0 = 3*c - 2*a - 44. Determine s so that 0*s - 120/7*s**3 - 2160/7*s**c + 6/7*s**5 + 60/7*s**4 + 20736/7 = 0.
-6, 4
Let u be (-3)/(-8 - (-3)/(150/385)). Factor 1/2*a**2 - u*a + 50.
(a - 10)**2/2
Let j be (-2)/6 + (-20)/(-6). Let o(v) = v**3 - 7*v**2 - 131*v + 984. Let r be o(8). Solve r*y**2 + 0 - 3/2*y**j + 0*y + 3/2*y**5 + 0*y**4 = 0.
-1, 0, 1
Suppose -11*i = -1 - 32. Let y(l) = 54*l**2 + 6*l + 15. Let m be y(-6). Solve -6*d - 3*d**i - 1908*d**2 - 6*d + m*d**2 = 0 for d.
0, 1, 4
Let h(l) = 158*l**2 - 4300*l + 924500. Let k(r) = 265*r**2 - 8600*r + 1849000. Let t(i) = 5*h(i) - 3*k(i). Factor t(q).
-5*(q - 430)**2
Let h(r) = -r**3 + r**2 + 4. Let w(a) = -2*a**3 + 50*a**2 - 120*a - 8. Let x(j) = -2*h(j) - w(j). Factor x(z).
4*z*(z - 10)*(z - 3)
Let i be 0/(-1) - (-27)/((-81)/(-9)). Factor -63*c**i - 18*c + 6*c**5 - 9*c - 20*c**2 + 9*c**4 + 2*c**2 + 0*c**4 + 93*c**2.
3*c*(c - 1)**3*(2*c + 9)
Let p(d) = 4*d**2 - 5*d - 5. Let q be p(-1). Determine g, given that 26*g**q + 20947 - 20947 + 28*g**3 + 2*g**2 = 0.
-1, -1/13, 0
Let s(g) be the second derivative of 0 + 969/16*g**4 + 4913/80*g**6 - 19941/160*g**5 + 3/2*g**2 - 53/4*g**3 - 222*g. Find d, given that s(d) = 0.
2/17, 1
Suppose -4*i = -2*z + 8, -3*i - 2*z = -4*i + 4. Let p be i*(-5)/4*(-26)/(-65). Factor 9*w + 12 + 3/2*w**p.
3*(w + 2)*(w + 4)/2
Let p(i) be the third derivative of 13*i**8/112 - 197*i**7/70 + 3*i**6/4 + 7688*i**2. Factor p(c).
3*c**3*(c - 15)*(13*c - 2)
Let i(t) be the first derivative of -5/6*t**3 - 6 + 6*t - 7*t**2. Suppose i(s) = 0. What is s?
-6, 2/5
Find a such that 37*a**2 - 9*a**2 - 1662*a - 13*a**2 - 11*a**2 - 6*a**2 = 0.
-831, 0
Factor 5706/5*o**2 + 6880682808/5 - 1/5*o**3 - 10852812/5*o.
-(o - 1902)**3/5
Let h(g) be the first derivative of 5*g**3/3 + 2175*g**2/2 + 2170*g + 5918. Find z, given that h(z) = 0.
-434, -1
Let f(y) be the third derivative of -y**5/15 + 131*y**4/6 - 260*y**3/3 - 1741*y**2. Determine g so that f(g) = 0.
1, 130
Suppose -39 - 135 = -2*i. Factor 80*w**2 + 70*w**3 + 10 + i*w + 5*w**5 + 103*w - 145*w + 30*w**4.
5*(w + 1)**4*(w + 2)
Suppose -2*j - 31 = z + 28, 243 = -5*z + 3*j. Let p be z + 41 - (0 + -12). Factor -2/3*g**p + 8/3 + 0*g.
-2*(g - 2)*(g + 2)/3
Let c(a) be the second derivative of -a**4/16 + 1791*a**3/4 - 9623043*a**2/8 + 5449*a. Factor c(s).
-3*(s - 1791)**2/4
Let w(z) be the second derivative of -z**5/30 - 235*z**4/9 - 55225*z**3/9 + 4193*z. What is j in w(j) = 0?
-235, 0
Let k(h) be the third derivative of -133*h**5/36 + 225*h**4/8 - 5*h**3 + 89*h**2 + 5. Solve k(x) = 0.
6/133, 3
Suppose 4*x - 3*g + 18 = 0, 0 = 9020*x - 9025*x + g - 6. Solve 4/21*d**3 - 2/21*d**4 + x*d + 0 - 2/21*d**2 = 0 for d.
0, 1
Let k = -579137/5 + 4054199/35. What is i in 18/7*i + 3/7*i**2 - k = 0?
-8, 2
Let c(v) = v**3 - 6*v**2 + 6*v + 1. Let i be c(4). Let x be 5 + i + (-644)/(-2). Find w, given that x - 81*w + 163*w - 53*w + 211*w + 5*w**3 + 60*w**2 = 0.
-4
Let x(y) be the third derivative of -2*y**6/15 + 661*y**5/15 - 55*y**4/2 - 27*y**2 + 13*y. Factor x(s).
-4*s*(s - 165)*(4*s - 1)
Find g such that 736/9 - 12*g**3 - 2/9*g**4 - 734/9*g**2 + 12*g = 0.
-46, -8, -1, 1
Let s(f) be the second derivative of f**4/66 + 16*f**3/33 - 17*f**2/11 - 5*f + 1094. Factor s(i).
2*(i - 1)*(i + 17)/11
Let h be 13/8 - (-24)/64. Let u(t) be the third derivative of -1/40*t**6 - 6*t**h - 1/20*t**5 + 0*t + 2*t**3 + 0 + 1/2*t**4. Factor u(o).
-3*(o - 2)*(o + 1)*(o + 2)
Let d be -3 + (-3)/(((-7)/(-3))/(-7)). Suppose 105 = 33*g + d. Solve -2*j**2 - 6*j + 2/3*j**g - 10/3 = 0.
-1, 5
Solve 184/13*f + 0 - 2/13*f**2 = 0.
0, 92
Let d(z) be the first derivative of z**8/840 - z**7/168 + z**6/360 + z**5/60 - 7*z**3/3 + z + 102. Let h(f) be the third derivative of d(f). Factor h(q).
q*(q - 2)*(q - 1)*(2*q + 1)
Factor 10 + 25/2*t**2 - 9/2*t**4 + 24*t + 1/2*t**5 - 13/2*t**3.
(t - 10)*(t - 2)*(t + 1)**3/2
Let h be (-8 - -7)/(-5 + 342/72) - 2. Factor 8/3*z + 5/3*z**h + 4/3 + 1/3*z**3.
(z + 1)*(z + 2)**2/3
Let u(f) be the second derivative of 14*f**6/135 - 283*f**5/15 - 1480*f**4/27 + 328*f**3/9 - 3*f + 2216. Let u(d) = 0. Calculate d.
-2, 0, 2/7, 123
Let s(c) be the second derivative of c**5/140 - 6*c**4/7 + 216*c**3/7 + 2*c + 603. Let s(t) = 0. What is t?
0, 36
Let l(o) = 2*o**2 - 18*o + 2. Let j be l(9). Let -21*y + 8*y + 10*y**j + 9*y**3 - 10*y**4 - 3*y**3 + 8*y - y**3 = 0. What is y?
-1, 0, 1/2, 1
Let v(k) be the second derivative of -7*k**6/180 + 101*k**5/120 - 91*k**4/24 + 11*k**3/4 - 5815*k. Solve v(w)