he second derivative of -1/40*b**5 + p*b**4 - 28*b - 5/3*b**3 + 0 - 25/8*b**2. Solve t(q) = 0 for q.
-1/2, 5
Suppose -5*j = 2*t - 3*t - 33, -5*t - 45 = -5*j. Let u be 14/(-35) + j/(-15)*-1. Factor 1/2*q**3 + 6*q**2 + 18*q + u.
q*(q + 6)**2/2
Let t(n) be the first derivative of -n**6/30 - n**5/5 + n**4/12 + 2*n**3/3 - 112*n + 125. Let f(d) be the first derivative of t(d). What is l in f(l) = 0?
-4, -1, 0, 1
Let n(k) = -4*k**2 + 7*k. Let x be 240*(12/(-8) - -2). Let j = 117 - x. Let c(i) = 7*i**2 - 15*i. Let p(v) = j*c(v) - 5*n(v). Suppose p(q) = 0. What is q?
0, 10
Let x be 17 - 688/(-24) - 45. Factor -54*l - x*l**3 + 0 + 12*l**2.
-2*l*(l - 9)**2/3
Let i be (-12 - -12)/((-6)/9*3). Suppose -32*y + 68*y = i. Determine a so that y + 2/11*a**2 + 2/11*a = 0.
-1, 0
Let j(t) be the first derivative of 49*t**6/20 - 84*t**5/5 + 29*t**4/2 - 4*t**3 + 236*t + 92. Let z(x) be the first derivative of j(x). Factor z(a).
3*a*(a - 4)*(7*a - 2)**2/2
Let b(l) be the first derivative of -l**4/6 + 44*l**3/3 - 384*l**2 + 4096*l/3 - 1032. Factor b(j).
-2*(j - 32)**2*(j - 2)/3
Let j = 8324/16645 + -3/33290. Factor 2*z - j*z**2 + 2 - 1/2*z**3.
-(z - 2)*(z + 1)*(z + 2)/2
Let v(k) be the third derivative of 55/6*k**4 + 7/12*k**6 - 139/30*k**5 + 45*k**2 + 0 - 8*k**3 + 0*k. Suppose v(a) = 0. What is a?
2/5, 4/7, 3
Let x(q) be the third derivative of -q**7/735 + 13*q**5/210 - q**4/7 - 195*q**2. Factor x(f).
-2*f*(f - 3)*(f - 1)*(f + 4)/7
Solve -143*a**2 + 121*a + 1/4*a**5 + 213/4*a**3 - 13/2*a**4 + 0 = 0 for a.
0, 2, 11
Suppose -3*z - 4 = -5*z. Suppose 1 + 3*b + 2 - b + 4*b - 9*b**z = 0. What is b?
-1/3, 1
Let d(x) be the second derivative of 0 + 1/150*x**6 + 240*x + 14/15*x**3 - 1/5*x**4 - 1/100*x**5 - 8/5*x**2. Factor d(u).
(u - 2)**2*(u - 1)*(u + 4)/5
What is h in -2228*h**2 - 140599555 - 1264*h**2 - 2*h**3 + 140596067 - 6978*h = 0?
-1744, -1
Let u = -297 - -293. Let j(h) = -7*h**2 + 12*h - 5. Let x(b) = -b**2 - b. Let l(w) = u*x(w) + j(w). Factor l(r).
-(r - 5)*(3*r - 1)
Let x(i) = -23*i - 219. Let v be x(-10). Solve 3*r**3 + v*r**2 - 7*r**2 - 3*r**5 - 10*r**2 + 6*r**3 = 0 for r.
-2, 0, 1
Let u be (-7)/((-42)/8)*(-33)/22. Let q be u/(-12) + -5 + (-1505)/(-294). Factor 0 - q*a + 3/7*a**2 - 1/7*a**4 + 0*a**3.
-a*(a - 1)**2*(a + 2)/7
Let t(g) be the first derivative of -3*g**4 + 73*g**3/3 - 51*g**2 + 8*g - 1904. Factor t(k).
-(k - 4)*(k - 2)*(12*k - 1)
Let p(k) be the first derivative of -k**4/4 - 56*k**3/3 - 282*k**2 - 1584*k + 2381. Factor p(m).
-(m + 6)**2*(m + 44)
Let g = 606 - 119987/198. Let o = 1321/198 - g. Factor 20/3*v - o - 5/3*v**2.
-5*(v - 2)**2/3
Let r(g) be the first derivative of -g**6/90 - g**5/30 + g**4/12 + 2*g**3/9 - 2*g**2/3 - 213*g - 212. Let d(n) be the first derivative of r(n). Factor d(a).
-(a - 1)**2*(a + 2)**2/3
Let y(l) be the first derivative of 1/24*l**3 + 1/48*l**4 - 20*l + 0*l**2 - 9. Let x(i) be the first derivative of y(i). Factor x(k).
k*(k + 1)/4
Let i(o) be the second derivative of -153*o**4/4 + 229*o**3/3 + o**2/2 + 23*o + 7. Determine h so that i(h) = 0.
-1/459, 1
Let b be 2/22 - 504/(-264). Factor 58*d**5 + 4*d**b + 49*d**5 - 109*d**5 + 6*d**3.
-2*d**2*(d - 2)*(d + 1)**2
Suppose -26/5*p**3 - 74/15*p**2 + 74/15*p**4 + 2/15*p**5 + 76/15*p + 0 = 0. What is p?
-38, -1, 0, 1
Let h(y) = -28 + 108*y**2 - 9 - 80*y + 2 - 28*y**2. Let p(r) = -9*r**2 + 9*r + 4. Let a(c) = -4*h(c) - 35*p(c). Factor a(t).
-5*t*(t - 1)
Let k = -176 + 166. Let x be 8/k*130/(-156). Let -8/3 + x*g**3 + 0*g + 2*g**2 = 0. What is g?
-2, 1
Let a = 3226 - 3222. Let d(r) be the second derivative of -39*r - r**a + 0*r**2 + 2/5*r**6 + 0 + 0*r**3 + 1/5*r**5 - 2/21*r**7. Find o, given that d(o) = 0.
-1, 0, 1, 3
Suppose 12 = 7*x - 3*x. Let b(c) be the first derivative of -c**4 - 5*c**2 - 5*c**x - c**2 - 4*c + c**3 + 32 - 23. Find i such that b(i) = 0.
-1
Let n = -448 - -300. Let m = n - -1038/7. Determine s, given that -m*s**4 + 2/7*s**2 + 2/7*s - 2/7*s**3 + 0 = 0.
-1, 0, 1
Let n(p) = 5*p - 33. Let i be n(7). Factor 55*y - 43 + 50*y**i + 43 - 3*y**3 - 2*y**3.
-5*y*(y - 11)*(y + 1)
Suppose -5*z = 3*a + 15 - 3, z = -3*a. Let x(l) = 4*l**5 + 8*l**3 - 12*l + 12. Let k(o) = o**3 - o + 1. Let g(i) = a*x(i) - 12*k(i). What is j in g(j) = 0?
-1, 0, 1
Let u = -1057 + 127. Let s = u - -930. Solve 0 + 3/5*t**3 - 12/5*t + s*t**2 = 0.
-2, 0, 2
Let b = 232 - 217. Find k, given that -6 - 5 - 7 - 16*k + b*k**2 - 23*k = 0.
-2/5, 3
Let -8*o + 6*o**3 + 588 - 1171 + o**4 + 0*o**4 - 4*o**2 - o**5 + 583 = 0. What is o?
-2, -1, 0, 2
Suppose 42*o + 7304 = -12856. Let r = o - -3380/7. Solve r*t - 18/7 - 2/7*t**2 = 0.
1, 9
Let l be -143*((-6)/20)/(2/(-10)). Let j = l - -215. Factor 0*s + 0 + 5/4*s**3 - j*s**2.
s**2*(5*s - 2)/4
Let w(d) = -d**4 - d**3 - d**2 - 3*d. Let i(b) = -15*b**4 - 170*b**3 + 515*b**2 - 50*b - 700. Let f(t) = -i(t) + 10*w(t). Factor f(k).
5*(k - 2)**2*(k + 1)*(k + 35)
Let k(g) = -g**3 + 9*g + 6. Let s be k(-3). Suppose -6 = -5*v + s*v + 2*c, 2*c = 3*v - 14. Factor 2/17*j**v + 0*j - 2/17.
2*(j - 1)*(j + 1)/17
Let u(z) be the second derivative of 78*z + 0*z**2 + 1/2*z**3 - 1/4*z**4 + 1/40*z**6 - 3/80*z**5 + 0. Factor u(v).
3*v*(v - 2)*(v - 1)*(v + 2)/4
Factor 51/5*b**2 - 6/5*b + 39/5*b**4 - 84/5*b**3 + 0.
3*b*(b - 1)**2*(13*b - 2)/5
Let o be (-91)/(-28)*15/65. Let h(i) be the second derivative of o*i**4 + 0 + 0*i**3 - 31*i + 3/20*i**5 + 0*i**2. Factor h(x).
3*x**2*(x + 3)
Let a(m) be the second derivative of -m**4/12 + 5*m**3/3 - 13*m. Let f be a(6). Factor -2*j**5 - j**3 - 20*j**2 + 7*j**3 + f*j**2.
-2*j**2*(j - 2)*(j + 1)**2
Suppose 3*k = k + 8. Suppose -2*d = -3*d + 5. Let -34*q**5 + 20*q**d + k*q**4 + 2*q**3 + 16*q**5 = 0. What is q?
-1, 0
Let c(n) = 3*n + 6. Let h be c(-1). Suppose -5*r = h*q - 2*r - 84, -2*q + 5*r + 35 = 0. Factor 35*w + 8 - 8 + 5 + 55*w**2 + q*w**3.
5*(w + 1)**2*(5*w + 1)
Suppose -14 - 222 = -59*m. Let p be m + (-1 - 7 - -6). Find z such that -1/4*z**p - 4 + 2*z = 0.
4
Let f(l) = -l**4 - l**3 - 3*l**2 + 2. Let i(h) = 6*h**4 + 10*h**3 + 16*h**2 - 8. Let w(o) = 4*f(o) + i(o). What is r in w(r) = 0?
-2, -1, 0
Let x be (345/(-1380))/(-4 + (-1564)/(-400)). Solve 2/9*i**2 + 13/9*i**3 + 14/9*i**5 + x*i**4 + 0 + 0*i = 0 for i.
-1, -1/2, -2/7, 0
Factor 19/3*m + 1/3*m**3 + 10/3*m**2 - 10.
(m - 1)*(m + 5)*(m + 6)/3
Let 2/5*d**2 - 468/5 + 46*d = 0. What is d?
-117, 2
Let j(q) be the third derivative of -13/20*q**5 + 7/8*q**4 - 5 + 3*q**3 + 0*q - 3*q**2. Suppose j(a) = 0. Calculate a.
-6/13, 1
Suppose 481*a - 1087*a + 1786 = 1180*a. Solve -a + 2/3*p + 1/3*p**2 = 0.
-3, 1
Let h(y) be the third derivative of -12*y**2 + 0*y - 5/21*y**4 - 1/420*y**6 + 0*y**3 + 0 + 1/10*y**5. Factor h(s).
-2*s*(s - 20)*(s - 1)/7
Let a(w) = -6*w**3 + w**2 + 2*w + 2. Let c be a(-1). Suppose -g - c = -21. Solve -11*d**4 - 2*d - g*d**4 + 2*d**5 + 21*d**4 + 4*d**2 = 0.
-1, 0, 1
Let t = 23186/7 + -3312. Let h = 3 + -1. Find j such that -t*j**3 + 2/7*j + 4/7 - 4/7*j**h = 0.
-2, -1, 1
Solve 4/7*h**4 - 76*h**2 + 6000/7 + 3952/7*h - 496/7*h**3 = 0 for h.
-2, 3, 125
Suppose 158*d + 1488 = 154*d. Let j be ((-651)/d)/(7/8). Solve -24/5 + 98/5*w**3 - 32*w - 238/5*w**j = 0.
-2/7, 3
Factor 154*c + 1470 + 2/3*c**3 - 74/3*c**2.
2*(c - 21)**2*(c + 5)/3
Factor -14/3*r**2 + 13/3*r**3 + 0*r + 1/3*r**4 + 0.
r**2*(r - 1)*(r + 14)/3
Factor 84094*h**2 - 168178*h**2 - 12*h + 1575 + 84081*h**2.
-3*(h - 21)*(h + 25)
Let h = 860437/163892 + -1/40973. Let -h*y + 9/2 + 3/4*y**2 = 0. What is y?
1, 6
Let t be (((-3)/44)/((-5)/20))/((-12)/(-66)). Let o be 1/(-2)*(3 - 7). Find q, given that 2*q + 0 + t*q**3 + 3*q**o + 1/4*q**4 = 0.
-2, 0
Suppose -79 + 1454 + 119 = 747*o. Factor 3/2*r**3 - 3/4*r**4 + 27/2*r + 63/4*r**o + 0.
-3*r*(r - 6)*(r + 1)*(r + 3)/4
Let l = 126 + 17. What is o in 4*o**2 + l - 6*o**3 + 3*o**4 - 143 - o**2 = 0?
0, 1
Determine h, given that -254/15 - 1268/15*h + 2/3*h**2 = 0.
-1/5, 127
Let l(z) be the third derivative of -1/720*z**6 - 2/9*z**3 - z**2 + 0 - 1/360*z**5 + 5/72*z**4 + 11*z. Factor l(c).
-(c - 2)*(c - 1)*(c + 4)/6
Suppose 0 = 12*d + 9*d - 168. Let a be -2 + d + (7 - 9). Suppose 1/4*u**5 + 1/2*u**2 + 0*u**a - 1/2 - u**3 + 3/4*u = 0. Calculate u.
-2, -1, 1
Let v = -232 - -317. Factor -v*k**2 + 2*k**3 - k**3 - 3*k**3 - 6*k + 93*k**2.
-2*k*(k - 3)*(k - 1)
Let n be ((-80)/96)/((-40)/6). Let g = n + 0