/15*a - 2/15*a**2 + 32.
-2*(a - 20)*(a + 12)/15
Factor -1456849/9 - 2414/9*j - 1/9*j**2.
-(j + 1207)**2/9
Solve -170*u**2 - 120*u**3 - 40*u**4 - 115*u + 4*u**5 + 21039 - 9*u**5 - 21069 = 0 for u.
-3, -2, -1
Let k = -440034/5 - -3960536/45. Find c, given that -4/3 + 4*c**3 - 4/9*c**4 - 2/9*c**5 + k*c - 64/9*c**2 = 0.
-6, 1
Find x, given that -6576/7*x**2 + 6/7*x**5 - 936*x**3 + 0*x + 0 - 1620/7*x**4 = 0.
-2, 0, 274
Let y(g) be the first derivative of -g**7/21 + 2*g**6/15 - g**5/10 + 24*g + 18. Let h(p) be the first derivative of y(p). Suppose h(o) = 0. Calculate o.
0, 1
Suppose 750 + 601 = 193*q. Factor 4*o**2 + 5/2*o - q + 1/2*o**3.
(o - 1)*(o + 2)*(o + 7)/2
Let z = -2/54483 - -466139/181610. Let s(u) be the second derivative of 49/45*u**6 + 4/9*u**3 + 0*u**2 + z*u**5 + 0 - 10*u + 16/9*u**4. Factor s(v).
2*v*(v + 1)*(7*v + 2)**2/3
Let d(z) be the first derivative of 11*z**6 + 178*z**5 + 927*z**4 + 5192*z**3/3 + 696*z**2 - 448*z + 2514. Let d(a) = 0. Calculate a.
-7, -4, -2, -2/3, 2/11
Let l(p) be the third derivative of 0*p + 223*p**2 + 0 - 1/100*p**6 - 19/50*p**5 - 17/5*p**3 - 7/4*p**4. Factor l(i).
-6*(i + 1)**2*(i + 17)/5
Suppose -2*w = 5*k - 142 + 27, -k = -5. Let u = w - 41. Factor -2*x**5 + 10*x**2 + 6*x + x**u + 18*x**3 - 2*x - 12*x**3 - 3*x**4.
-2*x*(x - 2)*(x + 1)**3
Factor 184/15*w**2 + 12 + 362/15*w + 2/15*w**3.
2*(w + 1)**2*(w + 90)/15
Let x = 20246/3 + -6747. Let i(l) be the second derivative of 1/6*l**4 + x*l**3 + 0 - 16*l + 4*l**2. Factor i(y).
2*(y + 1)*(y + 4)
Let o be 7*(102/(-442) + (-1537)/(-182) + -8). Let 24 - 12*u + o*u**2 = 0. What is u?
4
Let m = 2536/3 - 807. Let h = -551/15 + m. Find j such that -h*j + 4/5*j**2 + 4/5*j**3 + 0 = 0.
-2, 0, 1
Let n(a) be the second derivative of -5/12*a**4 - 1/6*a**3 + 5/2*a**2 + 0 + 1/20*a**5 - 107*a. Factor n(o).
(o - 5)*(o - 1)*(o + 1)
Let s be 4/(5*(-1)/(-5)). Suppose -4*g + 3*g - 4*v = -12, 8 = s*v. What is q in g*q**3 + 0 - 14/5*q**4 - 8/5*q**2 + 3/5*q**5 + 0*q = 0?
0, 2/3, 2
Let k(q) = 13*q**3 - 5323*q**2 - 1409806*q - 1404494. Let x(w) = -3*w**3 + 3*w**2 + w - 1. Let y(i) = k(i) + 6*x(i). Find c such that y(c) = 0.
-530, -1
Suppose 135*u + 3917414 - 3917684 = 0. Suppose t**3 + 16/3 - 25/3*t**u + 2*t = 0. What is t?
-2/3, 1, 8
Let g(r) = -22*r + 7. Let i(j) = -j**2 + j + 5. Let p be i(-2). Let u be g(p). Solve u*q - 29*q + 6*q**2 + 39*q**3 + 39*q**4 - 84*q**5 = 0 for q.
-2/7, -1/4, 0, 1
Let r(d) = -2*d**2 + 47*d - 246. Let h be r(8). Suppose -3 - 8/5*x - 1/5*x**h = 0. Calculate x.
-5, -3
Let w(u) be the second derivative of -9*u**5/20 - u**4/12 + 4*u**3/3 - 1462*u. Factor w(f).
-f*(f + 1)*(9*f - 8)
Let n(t) be the first derivative of -4*t**5/15 + 4*t**4 + 16*t**3 - 224*t**2/3 + 4459. Let n(l) = 0. What is l?
-4, 0, 2, 14
Let d(l) be the first derivative of l**6/6 - 3*l**5/5 + l**4/4 + l**3 - l**2 + 921. Find y, given that d(y) = 0.
-1, 0, 1, 2
Let d(b) be the first derivative of 45602*b**5/45 - 151*b**4/3 + 2*b**3/3 + 4614. Find k such that d(k) = 0.
0, 3/151
Let s(p) = -p**3 - 3*p**2 - 14*p - 42. Let h be s(-3). Let a be (-396)/(-165) - (2 + 0 - h). Factor 0 + 0*m + a*m**2.
2*m**2/5
Let s(u) = 37*u**2 + 862*u + 95048. Let p(a) = 15*a**2 + 432*a + 47524. Let g(y) = -5*p(y) + 2*s(y). Factor g(f).
-(f + 218)**2
Let b be (-301)/(-14) + 8307/(-426). Factor 3/8*o**3 + 0 + 3/4*o**b + 3/8*o.
3*o*(o + 1)**2/8
Let o(t) be the first derivative of -180 - 388*t + 2*t**2 + 64*t**2 + t**3 + 517*t. Let o(h) = 0. Calculate h.
-43, -1
Find h such that 328/7*h + 26/7*h**3 - 24/7 - 30*h**2 = 0.
1/13, 2, 6
Let q(d) = 5*d**2 + 5877*d - 5848. Let u(b) = 10*b**2 + 11770*b - 11695. Let s(v) = -5*q(v) + 2*u(v). Solve s(m) = 0.
-1170, 1
Let g be 54/60*260/12. Suppose 2 = 12*m - 15*m + 20. Determine z so that -9/2*z**2 - m + g*z = 0.
1/3, 4
Let c(u) be the first derivative of 3*u**2 - 32*u + 22. Let p be c(8). Factor b**3 - 16*b + 51*b - p*b - 20*b.
b*(b - 1)*(b + 1)
Let v(j) = -6*j + 18. Let q be v(-8). Let g = -51 + q. Let -35*y + 5*y**2 + 37*y - g*y**2 + 8 = 0. Calculate y.
-4/5, 1
Let x(p) be the third derivative of -p**5/150 - 5*p**4/2 - 375*p**3 - 1890*p**2. Factor x(b).
-2*(b + 75)**2/5
Let j be (37 - -3) + 4/(-8)*-2. Let s = 44 - j. Factor 262*i**3 - 2*i**4 - 130*i**3 - 2*i**2 - 128*i**s.
-2*i**2*(i - 1)**2
Factor 255/4*j + 513 + 3/4*j**2.
3*(j + 9)*(j + 76)/4
Let w(x) be the second derivative of -x**5/230 + 25*x**4/46 - 49*x**3/23 + 73*x**2/23 + 171*x. Suppose w(t) = 0. What is t?
1, 73
Suppose 3339 = 3343*y - 3347. Solve -2/7 - 48/7*b**4 + 44/7*b**3 + 2*b**y - 8/7*b = 0.
-1/3, -1/4, 1/2, 1
Let c be (-6)/24*-20 + -3*1. Let m = -21550 + 64652/3. Let -14/3*i - m*i**3 + 10/3*i**c + 2 = 0. What is i?
1, 3
Find f, given that 203/5*f**3 - 1/5*f**4 - 13668/5*f**2 + 60112*f + 314432/5 = 0.
-1, 68
Determine u so that -2162*u - 455*u - 2146*u + 4968*u - 2368*u - 3*u**2 = 0.
-721, 0
Let n(w) be the first derivative of 2*w**3/3 - w**2 - 56*w + 123. Let b be n(6). Find k, given that -27/5*k**b - 21/5*k**5 + 6/5*k + 3*k**3 + 0 + 27/5*k**2 = 0.
-1, -2/7, 0, 1
Let q(u) be the first derivative of -u**5/15 + u**4/3 - 2*u**3/3 + 105*u**2/2 - 88. Let v(a) be the second derivative of q(a). Find w, given that v(w) = 0.
1
Suppose -1301*r + 1305*r + l = 93, 0 = -5*r + l + 132. Factor -r*p**2 + 25 - 5/2*p + 5/2*p**3.
5*(p - 10)*(p - 1)*(p + 1)/2
Let c(i) be the first derivative of i**7/105 - 8*i**6/75 + 13*i**5/50 - i**4/5 - 76*i + 105. Let r(a) be the first derivative of c(a). Solve r(f) = 0.
0, 1, 6
Let m = 372 - 392. Let v be 2/(-7) + m/(-20). Suppose -1/7*i**3 + 0*i + 0 - v*i**2 = 0. Calculate i.
-5, 0
Let f(z) = -z**3 - 23*z**2 + 55*z + 127. Let i(q) = q**2 - 12*q - 53. Let s be i(14). Let l be f(s). Factor 0 - 3/4*t - t**l - 1/4*t**3.
-t*(t + 1)*(t + 3)/4
Suppose -99*k - 101*k + 265 = -147*k. Let f(z) be the second derivative of k*z - 49/2*z**3 + 0 - 1/20*z**5 - 343/2*z**2 - 7/4*z**4. Factor f(a).
-(a + 7)**3
Let u be -3 - (2/2 + -52). Let b be (2/(24/(-9)))/((-54)/144). Factor 2*r**2 + 12*r**4 + 4*r**b + 63*r**3 - u*r**3 + 3*r**5.
3*r**2*(r + 1)**2*(r + 2)
Let b be (310/(-307) - -1) + (-32 - -32). Let a = b - -42381/1535. Determine m, given that 28*m**3 - 10*m**4 - 8/5 - a*m**2 + 56/5*m = 0.
2/5, 1
Let t be -2*((-1)/(-9))/(42/(-294)). Determine o, given that -8/3 - t*o**2 + 32/9*o + 2/9*o**3 = 0.
2, 3
Let u be (1 - (-15)/(-12)) + 32*(-533)/(-5248). Factor 7/2*z**2 + 0 + 1/2*z**u + 3*z.
z*(z + 1)*(z + 6)/2
Suppose -1/5*q**5 + 1/5*q - 2/5*q**4 + 0*q**3 + 0 + 2/5*q**2 = 0. What is q?
-1, 0, 1
Let l(b) be the first derivative of 2/15*b**3 - 3/5*b**2 - 24*b + 18 + 1/30*b**4. Let a(g) be the first derivative of l(g). Solve a(s) = 0.
-3, 1
Solve -1/4*j**4 + 63/4*j**2 + 0*j**3 + 0 + 81/2*j = 0.
-6, -3, 0, 9
Let a(o) be the second derivative of -5*o**6/4 - 64*o**5 + 4985*o**4/24 - 995*o**3/6 - 90*o**2 + 2101*o + 1. Let a(i) = 0. What is i?
-36, -2/15, 1
Let j be (5 - (-125)/(-15))*3/1. Let l = j + 14. Factor -5*n + 0*n**2 + 0*n**2 - l - n**2.
-(n + 1)*(n + 4)
Let i(r) be the third derivative of r**8/112 + 13*r**7/70 + r**6/10 - 27*r**5/5 - 18*r**4 + 2568*r**2. Find p such that i(p) = 0.
-12, -2, 0, 3
Suppose -8 = -4*z - 6*n, -2*z - 48*n + 4 = -53*n. Factor 1/6*s**3 + 4/3 + 7/6*s**z + 7/3*s.
(s + 1)*(s + 2)*(s + 4)/6
Let z(s) be the first derivative of s**4/2 - 176*s**3/3 + 485*s**2 + 1148*s - 8844. Factor z(o).
2*(o - 82)*(o - 7)*(o + 1)
Let v(o) be the third derivative of 2*o**7/105 + 17*o**6/30 - 4*o**5 + 2*o**4/3 + 160*o**3/3 - 2146*o**2. Factor v(g).
4*(g - 2)**2*(g + 1)*(g + 20)
Let t(j) = 0 + 5*j - 27 + 23 - j**2. Let v be t(4). Factor v + 2/9*d**2 + 4/9*d.
2*d*(d + 2)/9
Suppose -4*k + k - 3*k = 0. Suppose 0 = -k*x + 3*x + 2*m, -4*m = 12. Factor -3/4*l**x - 1/4*l**3 - 5/4 + 9/4*l.
-(l - 1)**2*(l + 5)/4
Let m(g) be the second derivative of 0 + 1/10*g**5 - 1/9*g**4 + 0*g**2 - 2/45*g**6 - 18*g + 1/126*g**7 + 1/18*g**3. Factor m(k).
k*(k - 1)**4/3
Let i(d) be the third derivative of d**6/40 + d**5/5 + d**4/2 + 906*d**2. Factor i(n).
3*n*(n + 2)**2
Let y(a) be the third derivative of -4*a**2 - 1/4*a**4 + 0*a + 7 - 1/2*a**3 - 1/20*a**5. Let y(k) = 0. Calculate k.
-1
Let h = 13113 + -13110. Suppose -1/2*x**2 + 4*x - 1/2*x**h + 6 = 0. Calculate x.
-2, 3
Let z = 111315/4 + -27828. Let r(c) be the second derivative of z*c*