2)**2*(h - 1)*(h + 1)
Let v = -4/1013 - -164134/7091. Factor 296/7*f + 32/7 + 720/7*f**2 + v*f**3.
2*(f + 4)*(9*f + 2)**2/7
Let y(g) be the third derivative of -3*g**6/80 - 7*g**5/20 + 47*g**4/16 - 7*g**3/2 - 2*g**2 - 7. Factor y(o).
-3*(o - 2)*(o + 7)*(3*o - 1)/2
Let i(r) be the second derivative of r**6/180 + 2*r**5/15 + 13*r**4/12 + 28*r**3/9 + 49*r**2/12 - 170*r. Suppose i(b) = 0. Calculate b.
-7, -1
Let u(a) be the first derivative of -3*a**4/4 - 18*a**3 - 91. Determine x, given that u(x) = 0.
-18, 0
Let j(l) be the third derivative of -l**5/630 + 11*l**4/252 + 76*l**2. What is t in j(t) = 0?
0, 11
Let g(z) be the second derivative of 7/15*z**3 - 6/5*z**2 + 0 + 8*z - 1/30*z**4. Factor g(v).
-2*(v - 6)*(v - 1)/5
What is m in -96*m + 0*m**2 - 42 + 140*m - 5*m**2 + 3*m**2 = 0?
1, 21
Let b = -11/6 - -5/2. Solve -4/3*g**2 + 2/3*g**4 + 0*g - b*g**3 + 0 = 0.
-1, 0, 2
Suppose 2*d - 3*x = 69, -4*d + 9*d - 140 = x. Let m be (d/90)/((-24)/(-10)). Solve -1/4 - 1/8*i + 1/4*i**2 + m*i**3 = 0 for i.
-2, -1, 1
Let p(g) be the first derivative of 10 + 1/2*g + 1/6*g**3 + 1/2*g**2. Let p(t) = 0. What is t?
-1
Let d(h) be the second derivative of h**7/28 + h**6/5 - 3*h**5/5 - 5*h**4/4 + 23*h**3/4 - 15*h**2/2 + 419*h. Factor d(w).
3*(w - 1)**3*(w + 2)*(w + 5)/2
Let o(u) be the third derivative of u**7/70 + 29*u**6/100 + 39*u**5/25 - 9*u**4/5 + u**2 + 423*u. Factor o(j).
3*j*(j + 6)**2*(5*j - 2)/5
Let l(k) = 11*k**3 + 2*k**2 + 15*k. Let m(c) = c**3 - 3*c**2. Let a(n) = l(n) - 6*m(n). What is y in a(y) = 0?
-3, -1, 0
Let h(y) be the third derivative of y**7/2310 - 17*y**6/440 + 3*y**5/20 - 49*y**4/264 - 934*y**2. Suppose h(p) = 0. What is p?
0, 1, 49
Let r(o) = 6*o**4 + 18*o**3 + 3*o**2 - 36*o. Let p(g) = -g**4 + g**3 + g. Let f(u) = -9*p(u) - r(u). Factor f(j).
3*j*(j - 9)*(j - 1)*(j + 1)
Let 3/2*m - 3/4*m**2 + 0 = 0. Calculate m.
0, 2
Suppose 0 - 4/11*t**3 - 8/11*t**2 + 16/11*t + 2/11*t**4 = 0. Calculate t.
-2, 0, 2
Factor -r**2 - 30*r + 0*r**2 + 20 + 29*r.
-(r - 4)*(r + 5)
Let d be (-6 + (-18)/10)/((-1)/15). Let k = d - 350/3. Suppose -1 + 2/3*n + k*n**2 = 0. What is n?
-3, 1
Let t be (-3)/16 + 648/1152. Factor -15/8*c**2 + t*c**4 + 0 + 9/8*c + 3/8*c**3.
3*c*(c - 1)**2*(c + 3)/8
Suppose -g - 5 = 0, -5*g - 1 = 2*w + 12. Suppose x = 5*o - 3*x - w, -2*o = -4*x. Find t such that 0 - 2/5*t + 2/15*t**o = 0.
0, 3
Factor 251 + 4*d**2 + 66*d - d**2 - 188.
3*(d + 1)*(d + 21)
Let a(k) be the first derivative of k**5/60 + k**4/6 + k**3/2 + 2*k**2/3 - 25*k - 29. Let q(f) be the first derivative of a(f). What is j in q(j) = 0?
-4, -1
Let b = -38 - -39. Let n be b + (-15)/25 - (-1)/(-5). Suppose -4/5 - n*p**3 + 0*p + 3/5*p**2 = 0. Calculate p.
-1, 2
Let g(m) = -30*m - 9. Let c be g(4). Let d = c - -517/4. Determine h so that d*h**3 + 0 - h**2 + h = 0.
0, 2
Let m(x) = -x**2 - 495*x + 1036. Let h(w) = 330*w - 690. Let y(i) = -7*h(i) - 5*m(i). Factor y(p).
5*(p - 2)*(p + 35)
Suppose -64 = -4*i - 2*y - 2*y, -4*i + 28 = -5*y. Let h(w) = -8*w**2 - 40*w + 100. Let d(j) = j**2. Let v(g) = i*d(g) + h(g). Factor v(b).
4*(b - 5)**2
Let f = 38 - 26. Suppose -f = -k - 2*k. Suppose 0*j**2 + 5*j**2 - 12*j**2 - 10*j - 2 - 10*j**k - 20*j**3 - 13*j**2 - 2*j**5 = 0. Calculate j.
-1
What is t in -2/11*t**4 - 28/11*t - 10/11*t**2 + 0 + 16/11*t**3 = 0?
-1, 0, 2, 7
Let g(b) be the first derivative of 2*b**6/3 + 8*b**5/5 - 6*b**4 - 16*b**3/3 + 26*b**2 - 24*b - 383. Determine h, given that g(h) = 0.
-3, -2, 1
Suppose 25761*t + 6133*t**3 + 1961*t**3 + 6*t**5 + 183*t**4 - 288 + 4140*t**2 - 5*t**5 - 29530*t**2 - 8361 = 0. What is t?
-93, 1
Suppose 2*o + 10 = o + 3*b, 5*b - 24 = -2*o. Let y(i) be the first derivative of 6*i**o + 8*i + 4 + 4/3*i**3. Suppose y(j) = 0. What is j?
-2, -1
Let w(r) = 6*r**2 + 32*r - 8. Let v be w(-6). Suppose 5*d = 15 - 0. Factor -21*h**2 + v*h**3 - 4*h**d + 3*h + 6*h**2.
3*h*(h - 1)*(4*h - 1)
Let u(n) = -9*n**2 - 18*n - 30. Let y(d) = -10*d**2 - 18*d - 31. Suppose x + x = -3*q - 16, -4*q + 5*x - 29 = 0. Let i(p) = q*y(p) + 7*u(p). Factor i(k).
-3*(k + 2)*(k + 4)
Let i(c) = -2*c**2 + 85*c - 3. Let u(y) = y**2 - 85*y + 4. Let o(j) = 4*i(j) + 3*u(j). Factor o(h).
-5*h*(h - 17)
Let k(z) be the second derivative of -1/90*z**4 + 1/15*z**3 + 0 + 11*z + 0*z**2. Find u, given that k(u) = 0.
0, 3
Determine v, given that -2/11*v**4 - 2/11*v**5 + 28/11*v**2 + 12/11*v**3 + 6/11 + 2*v = 0.
-1, 3
Let v be 70/8 + 3/12. Let q = 12 - v. What is n in 4*n**5 - 3 + 6*n**2 + 0*n**4 - n**5 - n**3 - q*n**4 - 5*n**3 + 3*n = 0?
-1, 1
What is k in -160*k**5 + 0*k + 178*k**5 - 36*k**2 + 2*k + 32*k**4 - 8*k**3 + 4 - 12*k = 0?
-1, 2/9, 1
Let p(h) be the third derivative of h**4/12 + h**3/3 + 4*h**2. Let q be p(2). Factor q*u**2 + 0*u**3 - 2*u**2 - 3*u**2 + u**3.
u**2*(u + 1)
Let i(w) = 2*w**2 + 26*w - 30. Let s be i(-14). Let r be -22*3/(-15) + s. Let 4/5*o**2 + 8/5 + r*o = 0. What is o?
-2, -1
Determine k, given that -4*k + 10/3*k**2 + 0 + 2/3*k**3 = 0.
-6, 0, 1
Let q(l) be the second derivative of -7*l**5/20 + 5*l**4/12 + l**3/3 - 59*l. Find a such that q(a) = 0.
-2/7, 0, 1
Let z(f) be the third derivative of f**6/72 - 5*f**4/24 + 14*f**3/3 + 28*f**2. Let p(u) be the first derivative of z(u). Factor p(b).
5*(b - 1)*(b + 1)
Let n(h) be the first derivative of 16*h**5/25 + 8*h**4/15 + 2*h**3/15 + 9*h - 43. Let v(l) be the first derivative of n(l). Solve v(p) = 0 for p.
-1/4, 0
Let y be 7 + -5 + 1 + 2. Suppose -5*d = -20, -n - 13 = d - y*d. Factor -20*g**n + 12*g**4 + 3*g**3 + 3*g**2 + 2*g**3.
3*g**2*(g - 1)*(4*g - 1)
Let l = -7/8 + 29/24. Let p(d) = 20*d - 18. Let q be p(1). Factor 0 - l*f**q - 1/3*f.
-f*(f + 1)/3
Let h = 2 + 2. Let l be (h/12)/(1/12). Factor 75*n**l + 241*n**4 - 180*n**2 + 50*n**3 - 104*n - 16 - 66*n**4.
2*(n - 1)*(5*n + 2)**3
Suppose -18/7*a - 3/7*a**2 - 11/7 + 4/7*a**3 = 0. Calculate a.
-1, 11/4
Factor 2/3*v**2 + 1352/3 + 104/3*v.
2*(v + 26)**2/3
Let p(m) be the first derivative of -11*m**5/5 + 17*m**4 - 37*m**3 + 31*m**2 - 8*m - 387. Factor p(f).
-(f - 4)*(f - 1)**2*(11*f - 2)
Let y(g) = 2*g**2 - 2*g - 14. Let t = 38 - 32. Let m be y(t). Factor 25*r**4 + 4*r**5 + m*r**3 + 46*r**2 + 4 + 0 - 3*r**4 + 22*r.
2*(r + 1)**3*(r + 2)*(2*r + 1)
Let a(k) = k**2 + 17*k - 31. Let w be a(-21). Let y = w + -79/2. Factor 0*m**3 + 1/2 + 9*m**2 - y*m**4 - 4*m.
-(m + 1)*(3*m - 1)**3/2
Suppose -b + 18 = -4*b. Let v be 2/12 + (-17)/b. Let -4*p**2 + 3*p**3 - 4*p + 10*p**3 + 49*p**4 + 4*p**3 + 32*p**v = 0. What is p?
-1, -2/7, 0, 2/7
Let q(g) be the third derivative of g**6/120 - 7*g**5/60 - 17*g**4/24 - 3*g**3/2 - 8*g**2 - 4*g. Let q(c) = 0. What is c?
-1, 9
Let c be ((-1)/(-122))/(5*2/10). Let z = c - -59/244. Let -1/4*i**2 - 1/4*i + 0 + 1/4*i**3 + z*i**4 = 0. Calculate i.
-1, 0, 1
Let q(h) be the first derivative of -3 - 1/60*h**4 - 5*h + 0*h**2 + 0*h**3 + 1/100*h**5. Let m(f) be the first derivative of q(f). Factor m(w).
w**2*(w - 1)/5
Suppose 684*i = 300*i. Let -3/10*x**3 + 1/10*x**5 + i*x**4 + 0 + 1/5*x**2 + 0*x = 0. Calculate x.
-2, 0, 1
Factor 0 + 1/2*u**2 - 69/2*u.
u*(u - 69)/2
Let x(s) = -2*s**2 - 10*s - 6. Let i be x(-4). Suppose -3*g - i*u = -7, -3*u - 2 - 1 = 0. What is n in 0*n**2 + 1/3 + 2/3*n**g - 2/3*n - 1/3*n**4 = 0?
-1, 1
Factor -2/25*q**2 - 56/25 - 22/25*q.
-2*(q + 4)*(q + 7)/25
Let n(v) be the first derivative of -v**4/20 + 3*v**3/5 - 3*v**2/2 - 15*v + 13. Let y(i) be the first derivative of n(i). Find t, given that y(t) = 0.
1, 5
Let k(d) = -4*d - 6 + 0*d + 6. Let p(v) = -v + 5*v + v**2 + 4*v. Let q(h) = -5*k(h) - 2*p(h). Let q(s) = 0. What is s?
0, 2
Let r(o) be the third derivative of 0*o**3 + 0 - 1/90*o**5 + 0*o + 1/36*o**4 + 9*o**2. Find n such that r(n) = 0.
0, 1
Let d(h) be the first derivative of 8/7*h - 15 - 3/7*h**2 - 2/21*h**3. Solve d(g) = 0 for g.
-4, 1
Let t(w) be the first derivative of -5*w**4/4 - 25*w**3/3 + 10*w**2 + 100*w + 136. Solve t(u) = 0.
-5, -2, 2
Let x be 13/(-3) - (22/6 + -4). Let l be 2*(x - (-11)/2). Find w, given that -6/5*w**l + 6/5*w + 3/5 - 3/5*w**4 + 0*w**2 = 0.
-1, 1
Let t = 4288/1617 - -8/539. Factor -16/9*f**2 - t + 4/3*f**3 - 52/9*f.
4*(f - 3)*(f + 1)*(3*f + 2)/9
Let v(j) be the second derivative of 2/21*j**7 + 0*j**3 + 0*j**2 + j - 2/15*j**6 + 0 + 4/3*j**4 - 4/5*j**5. Factor v(g).
4*g**2*(g - 2)*(g - 1)*(g + 2)
Suppose -3*b + 9 = 3*d, -17 