 -2*(-6 + (-3)/6). Suppose -8*k**2 - 8*k**3 - k**4 + 5*k**4 + 109*k - 5*k**4 - f*k + 144 + 2*k**4 = 0. Calculate k.
-2, 6
Suppose 4*n - 25 + 17 = 0. Let -2*h**2 - 13 - 2*h**n - 6 - 5*h - h**3 + 17 = 0. Calculate h.
-2, -1
Let z = -58543 + 292718/5. Determine p so that 81/5 + 159/5*p + 15*p**2 - z*p**3 = 0.
-1, 27
Suppose -2*y - 3*y + 25 = 0. Suppose -r - 25 = -y*c + r, 5*r + 13 = -4*c. Let 4 + 677*l**3 - 12 - 7*l**4 - 693*l**c + 45*l**2 - 14*l = 0. What is l?
-4, -2/7, 1
Let q(g) = 6*g**2 + 4*g - 1. Let r(t) = -4*t**4 - 204*t**3 + 1372*t**2 - 1124*t - 4. Let h(b) = -4*q(b) + r(b). Factor h(n).
-4*n*(n - 5)*(n - 1)*(n + 57)
Let u(b) be the second derivative of b**4/78 + 9428*b**3/39 + 22221796*b**2/13 - 1352*b. What is h in u(h) = 0?
-4714
Let u(d) be the first derivative of -d**6/6 + 8*d**5/5 + 45*d**4/4 + 12*d**3 - 487. Find m, given that u(m) = 0.
-3, -1, 0, 12
Let s(k) be the second derivative of 3*k**6/20 - 21*k**5/16 + 61*k**4/16 - 15*k**3/4 - 3557*k. What is t in s(t) = 0?
0, 5/6, 2, 3
Let i be (87 - 81) + 16/(-3). Let m(t) be the first derivative of -8*t + 11 + i*t**3 - 3*t**2. Find k, given that m(k) = 0.
-1, 4
Factor 308/19 - 158/19*n + 2/19*n**2.
2*(n - 77)*(n - 2)/19
Suppose 272 = 4*c - 397 + 553. Suppose -5*n + 5*t + 2 = 7, 5*t = -2*n + 19. Factor 16*f**3 - 16*f - c*f**2 - 4*f**4 - 19*f**2 + 12 + 40*f**n.
-4*(f - 3)*(f - 1)**2*(f + 1)
Suppose -5*b - 5 = 0, 2*n - 2*b - 391 + 109 = 0. Let -195*c + 91*c**2 + 10 - n*c + 327*c**2 - 93*c**2 = 0. Calculate c.
2/65, 1
Let h(u) be the first derivative of 16/13*u - 2/39*u**3 - 144 + 2/13*u**2. Solve h(y) = 0.
-2, 4
Let d(r) be the third derivative of 1/840*r**8 + 0 + 5*r + 1/20*r**4 - 1/75*r**5 + 0*r**7 - r**2 + 2/15*r**3 - 1/75*r**6. Let d(p) = 0. Calculate p.
-1, 1, 2
Let d be 0 - 36/(-40)*-27*(-485)/194. Factor -27/2*n**2 + 0 + 3/4*n**3 + d*n.
3*n*(n - 9)**2/4
Solve -40 - 26*w - 2*w**2 + 1/2*w**3 = 0 for w.
-4, -2, 10
Let v(f) be the second derivative of -f**5/20 - 3*f**4/2 + f**3/6 + 9*f**2 - 22*f - 2. Factor v(k).
-(k - 1)*(k + 1)*(k + 18)
Let r(l) be the first derivative of 4*l**3/3 + 840*l**2 + 176400*l + 495. Find i, given that r(i) = 0.
-210
Let q(a) = a**2 + 2*a + 1. Let x(s) = 553*s**2 - 536*s + 11. Let i(u) = -14*q(u) + 2*x(u). Determine m so that i(m) = 0.
2/273, 1
Let u(i) be the first derivative of -4*i**3 + 8*i**2 - 19*i + 73. Let n(d) = -5*d**2 + 8*d - 9. Let k(w) = -10*n(w) + 4*u(w). Factor k(o).
2*(o - 7)*(o - 1)
Let o be (5 - (3 + 3))*-51. Let 228*u**3 + 27 - 451*u**3 + 63*u - o*u**2 + 232*u**3 = 0. What is u?
-1/3, 3
Let j(y) be the second derivative of 0 + 165*y - 13/190*y**5 - 83/57*y**3 + 1/285*y**6 - 21/38*y**4 - 34/19*y**2. Let j(c) = 0. What is c?
-2, -1, 17
Let q(p) = 4*p**5 - 12*p**4 + 4*p**3. Let l(k) be the first derivative of -2*k**6/3 + 11*k**5/5 - k**4 + 55. Let i(b) = -4*l(b) - 3*q(b). What is r in i(r) = 0?
0, 1
Let i(p) be the third derivative of -p**5/15 - 25*p**4/6 - 100*p**3 + 326*p**2 - 1. Factor i(j).
-4*(j + 10)*(j + 15)
Let x(a) be the first derivative of 5*a**3/3 - 295*a**2 - 1200*a + 1229. Solve x(i) = 0.
-2, 120
Let -257 + 87*b**3 - 3*b**4 + 66*b + 257 + 213*b**2 + 69*b**2 + 126*b = 0. Calculate b.
-2, -1, 0, 32
Let g = 187 - 188. Let m(d) = -d**2 - 2*d + 1. Let l(w) = -6*w**2 - 40*w + 2. Let q(t) = g*l(t) + 2*m(t). Factor q(h).
4*h*(h + 9)
Let d(b) = b**3 + b**2 + 3*b - 2. Let x(o) = 8*o**3 - 352*o**2 + 12*o - 8. Let m(j) = 4*d(j) - x(j). Factor m(n).
-4*n**2*(n - 89)
Let q(i) be the third derivative of 2*i**7/105 + 23*i**6/3 + 13453*i**5/15 + 4370*i**4 + 8664*i**3 + 471*i**2. Factor q(l).
4*(l + 1)**2*(l + 114)**2
Let 0 + 2/11*y**3 - 820/11*y**2 + 84050/11*y = 0. Calculate y.
0, 205
Let p(n) be the first derivative of -24*n**3 - 204*n**2 - 578*n + 2879. Factor p(y).
-2*(6*y + 17)**2
Let i(z) be the third derivative of -z**6/660 - 13*z**5/3 - 46475*z**4/12 - 3559*z**2. What is h in i(h) = 0?
-715, 0
Let j(r) be the third derivative of 31*r**7/1575 + 91*r**6/900 - r**5/75 - 31*r**4/45 + 8*r**3/45 + 296*r**2 + 2*r + 1. Suppose j(g) = 0. What is g?
-2, 2/31, 1
Let p(h) be the first derivative of -h**6/240 - h**5/24 - 7*h**4/48 - h**3/4 + 45*h**2/2 - 49. Let i(n) be the second derivative of p(n). Factor i(o).
-(o + 1)**2*(o + 3)/2
Let d be -5*9 + 32560/704. Factor -3/2 - d*m**3 + 13/4*m - 1/2*m**2.
-(m - 1)*(m + 2)*(5*m - 3)/4
Factor 1522 - 2203 + 0*u**2 + 926 + 260*u + 4*u**2 + 1771.
4*(u + 9)*(u + 56)
Let f(a) be the first derivative of -2*a**5/75 + 7*a**4/10 - 24*a**3/5 + 28*a**2/3 - 913. What is w in f(w) = 0?
0, 2, 5, 14
Let u(c) be the third derivative of -c**9/20160 + c**8/1344 - c**7/240 + c**6/80 - c**5/30 - 43*c**2 - 2. Let r(h) be the third derivative of u(h). Factor r(s).
-3*(s - 3)*(s - 1)**2
Let a be (0/(-73))/(6/1). Let f(w) be the second derivative of 22*w - 17/9*w**3 + a - 5/9*w**4 - 8/3*w**2 - 1/30*w**5. Factor f(p).
-2*(p + 1)**2*(p + 8)/3
Let m(r) = -9*r**3 + 152*r**2 - 358*r + 208. Let w(j) = -9*j**3 + 151*j**2 - 356*j + 212. Let y(n) = 8*m(n) - 7*w(n). Factor y(x).
-3*(x - 15)*(x - 2)*(3*x - 2)
Suppose 3892*v - 3886*v + 1836 = 0. Let q = -611/2 - v. Suppose -q*d**3 + 0 - 1/2*d**2 + d = 0. Calculate d.
-2, 0, 1
Let t = -78 + 81. Suppose n + 10 = 2*p + 5*n, 2*p + 5*n - 10 = 0. Determine y, given that -4*y - p*y**t + 2*y + 7*y = 0.
-1, 0, 1
Let i be 0/(((-63)/(-252))/(2/24) + -1). Let k(c) be the third derivative of -1/60*c**6 + 12*c**2 + i*c + 0 + 0*c**5 + 1/4*c**4 + 2/3*c**3. Factor k(l).
-2*(l - 2)*(l + 1)**2
Let p(n) be the second derivative of 1/3*n**3 - 6*n - 7 + 1/36*n**4 + 3/2*n**2. Factor p(m).
(m + 3)**2/3
Let n = -914 - -910. Let l be ((-14)/5 - n)/(18/45). Let -1/2 - 1/2*b**2 + 1/4*b**5 + b**l + b**4 - 5/4*b = 0. Calculate b.
-2, -1, 1
Factor 154/13*b**3 + 0*b - 484/13*b**2 + 2/13*b**5 + 0 + 40/13*b**4.
2*b**2*(b - 2)*(b + 11)**2/13
Let r(z) be the first derivative of -11/2*z**2 + 5/12*z**4 + 1 + 0*z + 5*z**3 + 1/72*z**5. Let i(t) be the second derivative of r(t). Factor i(s).
5*(s + 6)**2/6
Factor 628849 + 108555*f**2 - 108554*f**2 - 766*f + 2352*f.
(f + 793)**2
Suppose 1/5*q**2 + 3645 + 54*q = 0. What is q?
-135
Suppose 2/9*d**2 + 1/3*d - 1/9*d**3 + 0 = 0. What is d?
-1, 0, 3
Let m(l) = 4*l + 98. Let f = -478 - -455. Let o be m(f). Factor -o + 9/2*q**2 + 3/2*q**3 + 0*q.
3*(q - 1)*(q + 2)**2/2
Let x(h) be the second derivative of 56/9*h**3 - 1/45*h**6 - 32/3*h**2 + 0 - 2*h**4 + 1/3*h**5 - 177*h. Factor x(s).
-2*(s - 4)*(s - 2)**3/3
Let t = -100199/20 - -5010. Let q(r) be the second derivative of -9/2*r**3 - 9*r + 27/2*r**2 + 3/4*r**4 - t*r**5 + 0. Factor q(c).
-(c - 3)**3
Let s be (-32)/14*3*(3 + -5 - 5). Suppose -93/2*g - 3/2*g**2 + s = 0. What is g?
-32, 1
Suppose -80*j - 305015 = -305015. Factor -25/4*v**2 + j*v - 11/4*v**4 - 1/4*v**5 + 0 - 35/4*v**3.
-v**2*(v + 1)*(v + 5)**2/4
Let d(g) be the first derivative of 12/5*g**5 - 8*g**2 - 4*g**3 + 1/3*g**6 + 0*g - 28 + 7/2*g**4. Find n, given that d(n) = 0.
-4, -2, -1, 0, 1
Let o(a) be the first derivative of -4/35*a**5 + 0*a + 4/21*a**3 - 256 - 8/7*a**4 + 16/7*a**2. What is l in o(l) = 0?
-8, -1, 0, 1
Let k(c) be the first derivative of -c**6/1980 + 2*c**5/165 - c**4/11 + 4*c**3/3 - 14*c - 105. Let g(d) be the third derivative of k(d). Solve g(a) = 0 for a.
2, 6
Let v(o) be the second derivative of 2/27*o**4 + 0 - 2/3*o**3 + 8/45*o**5 + 8/9*o**2 + 2/189*o**7 - 4/45*o**6 - 50*o. Factor v(j).
4*(j - 4)*(j - 1)**3*(j + 1)/9
Solve 4/7*g**5 - 52/7*g**4 - 164*g + 120/7*g**3 + 84 + 488/7*g**2 = 0 for g.
-3, 1, 7
Let n(l) = l + 1. Let u(v) = -v - 1. Let h(j) = 2*n(j) + 3*u(j). Let s(b) = 6*b**2 + 150*b - 32. Let w(m) = -28*h(m) - 2*s(m). Factor w(p).
-4*(p + 23)*(3*p - 1)
Let y(l) be the second derivative of 7/15*l**5 + 1/63*l**7 + l**3 - 8/9*l**4 - 2/3*l**2 + 0 - 30*l - 2/15*l**6. Factor y(r).
2*(r - 2)*(r - 1)**4/3
Let f = 157 - 153. Solve 2*c**2 - 8*c**2 + 4*c**3 - 8*c - 8*c - 243*c**f - 8 + 245*c**4 = 0.
-2, -1, 2
Let x(t) be the third derivative of -t**7/1155 - 7*t**6/220 + 51*t**5/110 - 239*t**4/132 + 36*t**3/11 - 144*t**2 + t + 1. What is d in x(d) = 0?
-27, 1, 4
Suppose -57 - 1713 = -295*h. Let h*p - 6*p**2 + 3/2*p**3 + 0 = 0. Calculate p.
0, 2
Let o(d) be the third derivative of -d**6/1080 - d**5/24 - 7*d**4/36 - 31*d**3/3 + 9*d**2. Let s(n) be the first derivat