 + 1/4*p**4 + 2/3*p**s + 0*p + 2/3*p**3 - 3. Factor v(h).
h*(h + 2)**3/6
Let 21*t**2 - 60 + 62*t**3 - t - 61*t - 4*t**2 + 41*t**2 + 2*t**4 = 0. Calculate t.
-30, -1, 1
Let v(j) = 9*j**5 + 9*j**4 - 9*j**3 - 3*j**2 - 6. Let u(d) = -10*d**5 - 10*d**4 + 10*d**3 + 3*d**2 + 7. Let o(c) = 6*u(c) + 7*v(c). Find n such that o(n) = 0.
-1, 0, 1
Let h be (-99)/(-54)*(-16)/(-264). Factor -h*y**2 + 0 - 1/9*y**3 + 0*y.
-y**2*(y + 1)/9
Let g = -7 - -11. Suppose 0 = 2*d - 5*d + 3, g*v + 3*d - 15 = 0. Factor 2/3*p**2 - 2/3*p**4 + 2/3*p + 0 - 2/3*p**v.
-2*p*(p - 1)*(p + 1)**2/3
Let x(b) be the second derivative of -1/84*b**4 + 0*b**2 - 1/14*b**3 + 0 - 18*b. Factor x(h).
-h*(h + 3)/7
Let w(d) be the first derivative of -196*d**3/27 - 34*d**2/3 - 8*d/9 - 267. Factor w(o).
-4*(o + 1)*(49*o + 2)/9
Suppose -5*n = 4*m - 40, -16*n = -3*m - 13*n + 3. Determine o, given that -1/5*o**2 - m - 2*o = 0.
-5
Let h(n) be the third derivative of -16*n**2 + 0 - 1/192*n**4 + 0*n + 0*n**3 - 1/240*n**5 - 1/960*n**6. Let h(j) = 0. Calculate j.
-1, 0
Let i(p) be the first derivative of 2*p**5/15 - p**4/2 + 4*p**3/9 + 52. Determine c, given that i(c) = 0.
0, 1, 2
Let a be (58/551*76)/((16 - 2)*1). Factor -a - 2/7*b**2 + 6/7*b.
-2*(b - 2)*(b - 1)/7
Let l(o) = -o + 3*o - 12 + 0*o - 5*o. Let d be l(-8). Factor -5*p - 15*p**2 + d*p**2 - p**3 - 1 + 2*p.
-(p + 1)**3
Suppose -43 = 5*i - 113. Let w be 0 + 2 - (i - -5). Let p(k) = 8*k**3 + 10*k - 1. Let h(f) = -3*f**3 - 3*f. Let n(g) = w*h(g) - 6*p(g). Let n(c) = 0. What is c?
-2, 1
Let -129*q**2 + 5*q**2 + 4*q**3 + 1278*q - 8*q**3 - 1398*q = 0. Calculate q.
-30, -1, 0
Let l = -49085/54 - -909. Let i(z) be the second derivative of 1/9*z**2 + 0*z**3 - 9*z - l*z**4 + 0. Suppose i(o) = 0. What is o?
-1, 1
Factor 21/4*t + 9/2 - 3/4*t**3 + 0*t**2.
-3*(t - 3)*(t + 1)*(t + 2)/4
What is q in 0 - 6*q + 3/2*q**5 - 10*q**4 + 41/2*q**3 - 10*q**2 = 0?
-1/3, 0, 2, 3
Factor -4/7*d**3 + 2/21*d**4 + 0*d**2 + 64/21*d + 0.
2*d*(d - 4)**2*(d + 2)/21
Let l = 16785 - 16785. Factor -1/8*i**4 + l + 1/8*i**2 + 1/8*i**3 - 1/8*i.
-i*(i - 1)**2*(i + 1)/8
Determine u, given that -2/9*u**4 + 0 - 10/9*u**2 - 4/9*u - 8/9*u**3 = 0.
-2, -1, 0
Factor 2/9 - 14/9*p**2 + 4/9*p + 8/9*p**3.
2*(p - 1)**2*(4*p + 1)/9
Let h(t) = -35*t**3 - 60*t**2 - 30*t - 5. Let v = 90 + -84. Let i(y) = 34*y**3 + 60*y**2 + 30*y + 5. Let l(u) = v*h(u) + 5*i(u). Factor l(q).
-5*(2*q + 1)**3
Let b = -10 + 13. Suppose b*p - 14 = d, 4*p + 3*d - 27 = 6*d. Factor 3*l**5 + 2*l**2 - l**4 - 2*l**p + l**5 - 2*l**5 - l**4.
2*l**2*(l - 1)**2*(l + 1)
Let i(s) = 2*s - 9. Let z be i(7). Suppose 0*y + 2*y = -z*v + 16, 2*v - 16 = -4*y. Factor 2/5*n**4 + 192/5*n**2 + 512/5*n + 512/5 + 32/5*n**y.
2*(n + 4)**4/5
Let f(i) be the second derivative of -i**7/3360 - 7*i**6/1440 - i**5/32 - 3*i**4/32 + 4*i**3/3 + i. Let r(z) be the second derivative of f(z). Factor r(p).
-(p + 1)*(p + 3)**2/4
Let z(r) be the first derivative of -15*r**4 + 5 - 4/3*r**3 - 14/3*r**6 + 4*r**2 + 0*r - 76/5*r**5. Determine m, given that z(m) = 0.
-1, 0, 2/7
Let u be (66/(-24))/11 - (1 - (-174)/(-120)). Factor -18/5 + 21/5*c - 8/5*c**2 + u*c**3.
(c - 3)**2*(c - 2)/5
Determine t so that 55*t + 12*t**2 + 21*t**2 - 3*t**2 + 23 + 5*t**3 + 7 = 0.
-3, -2, -1
Suppose -2*l = 3*l - 15. Factor i**3 - 19*i**2 - 4 + 4*i + 23*i**2 - 5*i**l.
-4*(i - 1)**2*(i + 1)
Let c be (((-3952)/(-4746))/8)/((-1)/3). Let j = -3/113 - c. Find v such that 4/7*v + 0 + j*v**2 = 0.
-2, 0
Let d = 440 + -438. Let a(q) be the first derivative of 0*q**d + 4/15*q**5 + 0*q - 1/6*q**4 - 5 + 0*q**3 - 1/9*q**6. Find z such that a(z) = 0.
0, 1
Suppose 2/3*k**3 + 8/3*k**2 - 22/3*k + 4 = 0. What is k?
-6, 1
Let n(z) = 3*z**4 + 6*z. Let h(f) = f**4 + f. Suppose 0 = 5*y - 2*w + w + 8, -4*y + 11 = 5*w. Let g(d) = y*n(d) + 6*h(d). Factor g(v).
3*v**4
Let j(z) be the third derivative of z**9/12096 + 5*z**8/4032 + z**7/252 - z**5/2 + z**4/12 - z**2 + 6. Let l(w) be the third derivative of j(w). Factor l(y).
5*y*(y + 1)*(y + 4)
Let k(o) be the first derivative of -o**6/90 + 2*o**5/15 - o**4/2 + 10*o**3/3 - 3. Let h(u) be the third derivative of k(u). Factor h(q).
-4*(q - 3)*(q - 1)
Let k(r) be the third derivative of 13*r**2 + 0*r**5 + 1/44*r**4 - 2/33*r**3 + 0*r + 0 - 1/660*r**6. Determine s, given that k(s) = 0.
-2, 1
Suppose -3*o + 23 = -4*o. Let y = -10 - o. Factor y + 7 - 12 + 4*g - 4*g**2.
-4*(g - 2)*(g + 1)
Let f(w) be the first derivative of -w**5/5 - 19*w**4/4 - 30*w**3 - 82*w**2 - 104*w + 105. Factor f(h).
-(h + 2)**3*(h + 13)
Let q = 15/3383 - -6661/23681. Factor q*s**2 - 6/7*s - 8/7.
2*(s - 4)*(s + 1)/7
Factor 98/3*o + 0 + 1/3*o**2.
o*(o + 98)/3
Let u be ((-21)/3 - -2) + -149. Let t = 156 + u. Determine r so that 4/3*r + 2/3 + 2/3*r**t = 0.
-1
Let t(g) be the first derivative of -g**7/70 + g**6/8 - g**5/5 - 3*g**4/8 - 22*g**3/3 + 30. Let j(y) be the third derivative of t(y). Solve j(l) = 0.
-1/4, 1, 3
Let q(f) be the second derivative of -5*f**4/12 + 125*f**3/6 + 65*f**2 + 4*f + 13. Find u, given that q(u) = 0.
-1, 26
Let o = 131 - 129. Suppose -o*h - 3 + 6 = -b, 4*h - 9 = -b. Determine j so that -20/3*j - 50/3*j**h - 2/3 = 0.
-1/5
Suppose 12*m = 9*m + 219. Factor f**2 - 21*f**2 + 53*f**4 + 5*f + 5*f**5 - f**3 - m*f**4 + 31*f**3.
5*f*(f - 1)**4
Let y(w) be the first derivative of 3*w**5/5 + 3*w**4/2 - 4*w**3 - 12*w**2 - 447. Determine t, given that y(t) = 0.
-2, 0, 2
Let t be (5/10*-10 + (8 - 3))/(-2). Let q = 6 - 4. Find c, given that 2/9*c + t + 22/9*c**3 + 10/9*c**4 + 14/9*c**q = 0.
-1, -1/5, 0
Let u(o) = 11*o**2 + 14*o. Suppose -18 = -4*g + 86. Let t = g + -18. Let x(a) = 4*a**2 + 5*a. Let d(s) = t*x(s) - 3*u(s). Let d(w) = 0. Calculate w.
-2, 0
Let m(f) = -11*f**3 + 14*f**2 + 13*f - 6. Let p(j) = -10*j**3 + 15*j**2 + 15*j - 5. Let o(x) = 5*m(x) - 6*p(x). Suppose o(c) = 0. Calculate c.
-1, 0, 5
Let r = 161 + -158. Let c(g) be the first derivative of 0*g**2 + 1/2*g**4 + 3/5*g**5 + 0*g**r + 0*g - 3. Factor c(u).
u**3*(3*u + 2)
Let g(m) = -m**2 - 3*m + 32. Let j be g(4). Factor 129 - 30*q**2 + 10*q**4 - j*q**3 - 5*q - q**3 - 119.
5*(q - 2)*(q + 1)**2*(2*q - 1)
Let b(r) be the first derivative of r**7/1155 + r**6/330 - 2*r**5/165 - 2*r**4/33 - 8*r**2 + 12. Let v(h) be the second derivative of b(h). Factor v(g).
2*g*(g - 2)*(g + 2)**2/11
Let v(g) be the third derivative of -9*g**2 + 0 + 0*g + 1/4*g**4 - 1/30*g**5 + 0*g**3. Suppose v(o) = 0. What is o?
0, 3
Factor -10/11*m - 2/11*m**2 - 8/11.
-2*(m + 1)*(m + 4)/11
Suppose 48*t = 216 - 24. Solve -2/19*s**2 + 2/19*s**t + 0*s + 0 + 2/19*s**3 - 2/19*s**5 = 0.
-1, 0, 1
Let a(z) be the first derivative of 0*z**2 + 6 + 2/21*z**3 + 5*z - 1/42*z**4. Let g(i) be the first derivative of a(i). Solve g(l) = 0 for l.
0, 2
Let o(h) = -h**2 + 15*h - 11. Let j be o(14). What is r in -4*r**j + 7*r**3 + 9*r - 1 + 9*r**2 + 4 = 0?
-1
Suppose q + 33 = 40. What is g in g**2 - g + q*g + g - 8*g = 0?
0, 1
Let d(g) = -g**3 - g**2 + g + 2. Let t be d(0). Suppose -2*r + 3*r - 2 = -3*s, 0 = r - 2. Find f, given that -f - 2*f**2 + s*f**2 - t*f + f = 0.
-1, 0
Suppose 30 = -g + 4*g. Let h be ((-3)/g)/(3/(-75)). Factor 3/2*f + 9*f**2 + h*f**3 + 0.
3*f*(f + 1)*(5*f + 1)/2
Let l = 138 + -138. Let z(x) be the first derivative of -1/11*x**2 - 1/22*x**4 + l*x - 4/33*x**3 + 6. Let z(y) = 0. What is y?
-1, 0
Let v(h) be the third derivative of 1/12*h**4 + 0*h**3 + 1/20*h**6 + 0 + 2/15*h**5 + 11*h**2 + 0*h. Suppose v(p) = 0. What is p?
-1, -1/3, 0
Let t = 2/13931 - -27856/41793. Find d, given that 2/15*d**2 + 4/5 + t*d = 0.
-3, -2
Let y = -10298 - -10300. Let g = 10/3 + -3. Let 1/3*q**y + 1/3*q**3 - 1/3*q - g = 0. What is q?
-1, 1
Let y be (-16 + 19)*(-12)/(-18). Let 2/5 + 0*h - 2/5*h**y = 0. Calculate h.
-1, 1
Let w(g) be the second derivative of g**4/4 + 9*g**3/2 + 12*g**2 - 64*g. Factor w(i).
3*(i + 1)*(i + 8)
Factor 225/8 + 3/8*f**2 + 15/2*f.
3*(f + 5)*(f + 15)/8
Let k = 1239 - 1230. Let q(j) be the second derivative of k*j - 2/3*j**3 - 1/6*j**4 + 0 + 0*j**2. Suppose q(y) = 0. Calculate y.
-2, 0
Solve -74892*y + 1166*y**2 - 218*y**2 - 10*y**3 + 7*y**3 = 0.
0, 158
Let g(f) be the third derivative of 2*f**7/315 + 19*f**6/240 + 71*f**5/360 - 5*f**4/6 - 4*f**3/9 + 3*f**2 - 7*f. Find y, given that g(y) = 0.
-4, -1/8, 1
Suppose 31 = -2*j + 111. Factor 8*n + 16*n**4 - 4*n**3 + 56*n