13*l - 48/13 - 2/13*l**2 = 0.
-12, -2
Let w(m) = -11*m - 5. Let z be w(1). Let k = -13 - z. Factor -k*j**2 - 6*j + 0*j**3 + 12 + 18*j - 3*j**3.
-3*(j - 2)*(j + 1)*(j + 2)
Suppose 7*l - 15 + 1 = 0. Suppose 3*r + l*g = 20, -3*r + 12 = g - 4. Find d, given that r*d**2 + 7*d**2 - 8 + 7 - 10*d**2 = 0.
-1, 1
Find k, given that -136/13 - 16*k + 206/13*k**3 + 62/13*k**2 + 74/13*k**4 + 2/13*k**5 = 0.
-34, -2, -1, 1
Let a(m) be the first derivative of 20/3*m**2 - 80/3*m - 5/9*m**3 + 46. Find w, given that a(w) = 0.
4
Let x(j) be the third derivative of -j**5/300 - 31*j**4/240 - 7*j**3/10 - 1811*j**2. Determine b, given that x(b) = 0.
-14, -3/2
Let n = 320 + -291. Suppose -4 = 25*u - n*u. Find t, given that -1/2*t**3 + t**2 + 1/2*t - u = 0.
-1, 1, 2
Let z(y) be the second derivative of y**4/24 + 139*y**3/3 + 19321*y**2 + 25*y + 6. Factor z(t).
(t + 278)**2/2
Let t be (4*24)/((-585)/(-26)) + -4. Let d(x) be the second derivative of 1/20*x**4 + 1/75*x**6 - 2/5*x**2 + 0 - 6*x + 7/100*x**5 - t*x**3. Factor d(i).
(i - 1)*(i + 2)**2*(2*i + 1)/5
Factor -1495/6*m + 1/6*m**2 + 249.
(m - 1494)*(m - 1)/6
Let x = -1326226 + 1326226. Factor -384/7*q - 54/7*q**3 + x - 3/7*q**4 - 288/7*q**2.
-3*q*(q + 2)*(q + 8)**2/7
Let j(g) = -5*g**2 - 30*g - 20. Let n(s) = 2*s**2 + 14*s + 6. Let v be n(-7). Let o(r) = 6*r - 13*r + v*r. Let f(t) = -j(t) + 10*o(t). Factor f(m).
5*(m + 2)**2
Let m be (-338)/(-20) + 3/30. Solve -615*t**2 + 614*t**2 + 10*t + 6*t + m = 0 for t.
-1, 17
Suppose -6*f + 12 = -5*f + k, -3*k = -5*f + 52. Let z(y) = 21*y**2 + 80*y - 24. Let v(a) = 105*a**2 + 401*a - 120. Let x(s) = f*z(s) - 2*v(s). Factor x(u).
3*(u + 4)*(7*u - 2)
Let o(t) = -t**3 - t**2 + t. Let v(b) = -b**3 + 16*b**2 + 18*b - 14. Let z(d) = -2*o(d) + v(d). Let g be z(-17). Factor -g*j**2 + 21*j - 14 + 20 - 6.
-3*j*(j - 7)
Factor 0 + 9/2*z - 1/6*z**2.
-z*(z - 27)/6
Let w be (0 + (-8 - -2))*3/(-6). Factor 15 + 3*y**2 + 3*y**4 - 12*y + 120*y**w - 108*y**3 - 21*y**2.
3*(y - 1)**2*(y + 1)*(y + 5)
Let i(p) be the third derivative of -p**5/180 - 667*p**4/12 - 444889*p**3/2 - 95*p**2 + 5*p. What is f in i(f) = 0?
-2001
Suppose -8 = -2*g - 10. Let i(t) = -3*t**4 - 16*t**3 - 8*t**2 + 14*t + 13. Let b(k) = k**3 - k**2 + k - 1. Let s(n) = g*b(n) - i(n). Solve s(q) = 0.
-4, -1, 1
Suppose 13 = -25*q + 22*q + f, -15 = 3*f. Let y be (5 + -11 - q) + 3. What is w in -w**2 - 1/2*w**y + 1/2*w + 1 = 0?
-2, -1, 1
Let f(m) = m**2 + m - 2. Let c be f(-2). Let k be (6/208)/(1032/8944). Determine x, given that 1/2*x + x**3 - k*x**4 - 5/4*x**2 + c = 0.
0, 1, 2
Let c(l) = 2*l**2 + 2*l. Let p be c(-2). Suppose -9*o + 10 = -p*o. Determine q so that 11*q**3 - 6*q**3 + 2 - 7*q**3 - o*q**2 + 2*q = 0.
-1, 1
Let b(w) be the third derivative of w**6/780 + 43*w**5/13 + 138675*w**4/52 + 4*w**2 + 3*w + 13. Suppose b(q) = 0. What is q?
-645, 0
Suppose 4*l + 337 - 17 = 0. Let g be l/(-16) + 18/(-4). Factor 2*d**3 - 1/2*d**4 + 2*d - g - 3*d**2.
-(d - 1)**4/2
Factor -v**4 + 6424*v**3 - 744 - 803*v**2 - 2039*v**3 + 1276*v + 108 - 2081*v**3 - 2140*v**3.
-(v - 159)*(v - 2)**2*(v - 1)
Let j(k) = -25*k**2 + 220*k + 47. Let s be j(9). Factor 0 - 8/9*l**4 + 4/9*l**5 + 0*l**3 + 8/9*l**s - 4/9*l.
4*l*(l - 1)**3*(l + 1)/9
Let x(y) be the first derivative of -y**6/54 - y**5/5 - y**4/6 + 16*y**3/27 + 1269. Determine v so that x(v) = 0.
-8, -2, 0, 1
Factor 52/3 - 2/3*g**2 + 22/3*g.
-2*(g - 13)*(g + 2)/3
Let k(z) = -9*z**4 + 9*z**3 + 8*z**2 + 4*z - 8. Let h(w) = -25*w**4 + 25*w**3 + 25*w**2 + 12*w - 26. Let j(i) = -4*h(i) + 11*k(i). Let j(o) = 0. Calculate o.
-2, 1, 4
Let t(p) be the second derivative of 68*p + 0*p**2 - 1/24*p**3 - 1/24*p**4 + 0 - 1/80*p**5. Factor t(b).
-b*(b + 1)**2/4
Let w = -8396 - -33587/4. Let d(z) be the first derivative of -1/3*z**3 - 4 + w*z**4 - 3/2*z**2 + z. Factor d(i).
(i - 1)*(i + 1)*(3*i - 1)
Let l(u) be the second derivative of 578*u**2 - 2 + 1/12*u**4 - 34/3*u**3 - 6*u. Factor l(x).
(x - 34)**2
Let j(m) be the first derivative of -m**5/4 - 245*m**4/12 - 40*m**3 - 170*m + 151. Let a(z) be the first derivative of j(z). Factor a(r).
-5*r*(r + 1)*(r + 48)
Let z be (-58)/68*(-684)/30 + -1. Let f = z + -300/17. Factor -22/5*q**2 + 2*q**5 + 42/5*q**3 + 0 - 34/5*q**4 + f*q.
2*q*(q - 1)**3*(5*q - 2)/5
Suppose -512*w + 1010 = -7*w. Let -12/7*y + 2*y**w - 2/7*y**4 + 0*y**3 + 0 = 0. Calculate y.
-3, 0, 1, 2
Let f(k) be the second derivative of 0*k**2 - 1/15*k**6 + 0*k**3 + 3/10*k**5 + 7*k - 5/18*k**4 - 1/63*k**7 - 1. Suppose f(u) = 0. What is u?
-5, 0, 1
Factor -948/5*d - 3/5*d**3 - 951/5*d**2 + 0.
-3*d*(d + 1)*(d + 316)/5
Let 320 + 34*d - 72*d**3 - 4*d**4 + 92*d**3 + 4*d**5 - 316*d**2 - 236*d**3 - 116*d**3 + 294*d = 0. What is d?
-8, -1, 1, 10
Factor 20*l**2 + 21*l**2 + 12*l + 867 - 251 - 45*l**2.
-4*(l - 14)*(l + 11)
Let n(k) = -5*k**2 - 53*k + 89. Let x be n(-12). Let m(t) be the third derivative of 0*t + 0*t**4 - 1/36*t**3 + 1/360*t**x + 47*t**2 + 0. Solve m(a) = 0 for a.
-1, 1
Let r(n) be the second derivative of -5*n**4/12 - 140*n**3/3 - 795*n**2/2 - 201*n. Solve r(k) = 0 for k.
-53, -3
Let u(d) = 31*d**3 - d**2 - 30*d + 56. Let o be u(2). Let r = 48 - 24. Factor 80 - 26*x**3 - 176*x + o*x**2 - 84*x - r*x**3 + 5*x**3.
-5*(x - 4)*(3*x - 2)**2
Let z(u) be the third derivative of u**6/72 - 2423*u**5/36 + 7344715*u**4/72 - 7332605*u**3/18 + 2*u**2 + 3278*u. Solve z(m) = 0 for m.
1, 1211
Factor -197/4*z - 195/4*z**2 + 1/4*z**4 - 33/2 - 63/4*z**3.
(z - 66)*(z + 1)**3/4
Let t = 3/1085 - -5353/26040. Let o(b) be the second derivative of 1/2*b**2 + 0 - 2*b - t*b**4 + 13/40*b**5 - 3/20*b**6 - 1/4*b**3 + 1/42*b**7. Factor o(j).
(j - 2)*(j - 1)**3*(2*j + 1)/2
Suppose 66*i = -31 + 97. Let z be (i*13/(-26))/((-2)/8). Factor 6/19 + 16/19*t**z - 22/19*t.
2*(t - 1)*(8*t - 3)/19
Let k(j) = 31*j**3 + 162 - 60*j**3 - 34*j**2 + 30*j**3 + 59*j. Let x be k(32). Suppose 1/3*o**x + 3 - 2*o = 0. Calculate o.
3
Suppose -36 + 26 = -3*l - f, l - 35 = 6*f. Let w(p) be the second derivative of 0*p**4 + p + 0*p**2 - 1/165*p**6 + 0*p**3 + 0 + 3/110*p**l. Factor w(t).
-2*t**3*(t - 3)/11
Let t(c) be the first derivative of 10/3*c**3 + 0*c - 5/4*c**4 + 24 - 5/2*c**2. Find i, given that t(i) = 0.
0, 1
Let p(i) be the third derivative of -i**7/70 + i**6/6 - 4*i**5/15 - 8*i**4/3 - 776*i**2. Find a such that p(a) = 0.
-4/3, 0, 4
Let v(g) = -12*g - 2614. Let b be v(-218). Let y = 6 + -23/4. Factor 0 + 9*a - 3*a**b + y*a**3.
a*(a - 6)**2/4
Determine k, given that -2127*k**2 - 384 - 272 - 1112 + 3*k**3 + 4245*k - 353 = 0.
1, 707
Let j(n) be the third derivative of n**5/15 + 22*n**4 - 536*n**3/3 - 98*n**2 + 2. Factor j(w).
4*(w - 2)*(w + 134)
Let p be (-1)/(((-4)/(-86))/(-2)). Let m = p + -41. Factor d**2 - 2*d**3 - 10*d**3 - 11*d**m + 7*d**3.
-5*d**2*(d + 2)
Suppose 4*y + 26 = n, -16*n - y + 20 = y. Let c(b) be the first derivative of -b**4 + 0*b**n - 2/3*b**6 + 0*b**3 + 0*b + 3 + 8/5*b**5. Factor c(x).
-4*x**3*(x - 1)**2
Let d(y) be the first derivative of -15/4*y**4 + 5/12*y**6 - 15/4*y**2 + 0*y - 20/3*y**3 + 0*y**5 - 30. Factor d(w).
5*w*(w - 3)*(w + 1)**3/2
Let d(f) be the second derivative of -1/30*f**5 + 1/4*f**3 + f - 64 - 23/72*f**4 + 3/2*f**2. Let d(w) = 0. What is w?
-6, -3/4, 1
Let l = -22278 - -44605/2. Let b(n) be the first derivative of 21 + 7/2*n**2 + l*n + 1/6*n**3. Factor b(w).
(w + 7)**2/2
Let o(y) be the first derivative of y**4/3 + 14*y**3/3 - 7*y - 145. Let d(u) be the first derivative of o(u). Let d(h) = 0. Calculate h.
-7, 0
Let u(j) be the third derivative of -j**5/120 - 89*j**4/48 + 15*j**3/2 + 2*j**2 + 425. Suppose u(g) = 0. Calculate g.
-90, 1
Let c(s) be the third derivative of -1/360*s**6 + 0 - 2592*s**3 + 0*s + 89*s**2 - 3/5*s**5 - 54*s**4. Suppose c(f) = 0. Calculate f.
-36
Let v be (-6)/24*2/7*49/(-70). Let a(w) be the second derivative of -12/5*w**2 + 0 + v*w**4 + 1/5*w**3 + 36*w. Factor a(u).
3*(u - 2)*(u + 4)/5
Let u be (2/13)/((-400)/(-5200)). Let x(w) be the third derivative of 0 + 1/11*w**3 + 0*w - 1/330*w**5 - 3*w**u - 1/66*w**4. Factor x(o).
-2*(o - 1)*(o + 3)/11
Let c(b) be the first derivative of 4*b - 41 - 11/3*b**2 + 1/6*b**4 + 8/9*b**3. Factor c(h).
2*(h - 1)**2*(h + 6)/3
Let x be (-1 - (-48)/40)*(-20)/(-24). Let h(b) be the first derivative of -x*b**3 - 1/4*b**2 + 16 + b. Factor h(w).
-(w - 1)*(w + 2)/2
Let p(f) b