o that f(y) = 0.
-14, 0
Let i(f) be the second derivative of 2/5*f**6 - f**4 + 0 - 2/21*f**7 - 1/5*f**5 + 4/3*f**3 + 0*f**2 - 34*f. Find x such that i(x) = 0.
-1, 0, 1, 2
Suppose -3*w + n + 13 + 4 = 0, -3*n + 9 = 3*w. Factor 1 + r + 0*r**2 + 0*r**w - 2*r**3 + 9*r**4 + r**5 - 8*r**4 - 2*r**2.
(r - 1)**2*(r + 1)**3
Let r(b) be the first derivative of 2*b**3 + 23*b**2 - 16*b - 122. Factor r(k).
2*(k + 8)*(3*k - 1)
Let h(i) = -32*i + 11 + 25*i + 2*i**2 - 3. Let a be h(7). Solve 32*f**2 - a - 1024*f**3 + 7 - 868*f**4 - 14 - 196*f**5 + 320*f = 0 for f.
-2, -1, 2/7
Let z be ((-116)/(-87))/(4/6). Let w(a) = -a**4 - a**2. Let r(t) = 0*t**4 - 2*t**4 + t**4. Let o(g) = z*r(g) - w(g). Factor o(p).
-p**2*(p - 1)*(p + 1)
Suppose 1 + 1 = h. Suppose i + 2*w - 2 = 0, -2*i - h*i + 11 = 5*w. Factor 5*m**4 + 4*m - 3*m**4 + m**3 + 9*m**3 + 16*m**2 + i*m.
2*m*(m + 1)*(m + 2)**2
Let g(k) be the second derivative of -k**5/70 - k**4/14 + 4*k**2/7 - 168*k. Factor g(y).
-2*(y - 1)*(y + 2)**2/7
Suppose -10 + 4 = -2*j. Let i(g) = 3*g - 3. Let n be i(j). Factor -4*q**3 - q**3 + 3*q**2 + 2*q**3 + n*q.
-3*q*(q - 2)*(q + 1)
Let c(i) be the first derivative of -4*i**3/9 + 16*i**2/3 - 28*i/3 - 50. Solve c(q) = 0.
1, 7
Let l(m) be the second derivative of m**6/165 - 3*m**5/110 + m**4/22 - m**3/33 + 147*m. Factor l(b).
2*b*(b - 1)**3/11
Let f be (-5)/((-1575)/282) + (-112)/140. Solve -2/7*u**3 - 2/7*u**2 - f*u + 0 - 2/21*u**4 = 0 for u.
-1, 0
Let d(f) = 7*f + 2 - 7*f + 3*f. Let y be d(3). Suppose -2 - 8*n**2 + 61*n**3 - 49*n**3 + y*n - 33*n**3 = 0. What is n?
-1, 2/7, 1/3
Let a(k) = k**2 - 71*k + 710. Let c be a(59). Let 8/19*j**c + 0 - 2/19*j = 0. Calculate j.
0, 1/4
Factor 38/3 - 9*m + 4/3*m**2.
(m - 2)*(4*m - 19)/3
Find t, given that -3*t - 3/2*t**4 + 3/2*t**2 + 9/2*t**3 + 0 - 3/2*t**5 = 0.
-2, -1, 0, 1
Let i(g) be the first derivative of g**4/2 + 26*g**3/3 + 35*g**2 - 98*g - 2. Factor i(b).
2*(b - 1)*(b + 7)**2
Suppose -5*m = 3*p - 4, 4*p = 4*m - 0*m + 48. Factor p + 0*l + 76*l**2 - 4*l - 80*l**2.
-4*(l - 1)*(l + 2)
Suppose -4*q = -15 + 7. Find m such that -7 - 4*m**2 - q*m - 14*m + 27 = 0.
-5, 1
Determine f, given that -3*f + 3*f - 2*f**4 - 9*f**3 + 382*f**2 - 380*f**2 + f**5 + 0*f**5 + 8*f = 0.
-2, -1, 0, 1, 4
Let z(c) be the second derivative of 5/18*c**3 - 1/18*c**6 + 0*c**2 + 1/4*c**5 + 0 - 5/12*c**4 + 7*c. Factor z(r).
-5*r*(r - 1)**3/3
Let s = -3 + 9. Suppose 16*l - 30 = s*l. Factor -10/3*a**4 + 6*a**l + 2/3*a**5 + 0 - 14/3*a**2 + 4/3*a.
2*a*(a - 2)*(a - 1)**3/3
Let v be (-1)/(3/(-15)*1). Let a be v/3 + 2/6. Solve 16*y**5 + 2*y**2 - 4*y + 60*y**3 - 18*y**3 - 4*y**a + 21*y**4 - 73*y**4 = 0.
-1/4, 0, 1/2, 1, 2
Let d(l) = -l**4 + l**3 + l**2 + 2*l + 1. Let x(n) = 6*n**4 - 118*n**3 - 1066*n**2 - 4372*n - 6154. Let q(p) = 10*d(p) + x(p). Solve q(o) = 0 for o.
-8, -3
Suppose 2/11*y**2 - 4/11*y - 6/11 = 0. What is y?
-1, 3
Let 41*c**2 + 68*c**4 + 18*c**3 - 8*c**2 - 95*c**4 - 12 - 12*c = 0. What is c?
-2/3, 1
Let q(d) be the first derivative of -d**4/34 + 2*d**3/51 + 6*d**2/17 - 591. Factor q(g).
-2*g*(g - 3)*(g + 2)/17
Determine b so that 1/4*b**2 - 3/2 + 1/4*b = 0.
-3, 2
Let n be ((-7)/(-420)*-1)/((-18)/75). Let f(c) be the third derivative of 0*c + 1/90*c**5 - n*c**4 + 4*c**2 + 0 - 1/6*c**3. Factor f(h).
(h - 3)*(2*h + 1)/3
Suppose d - 6 = -d, -d + 93 = 5*v. Suppose f = x - 2*x + v, -3*x + 4*f + 68 = 0. Factor 8*q - 4/5 - x*q**2.
-4*(5*q - 1)**2/5
Let p(l) be the second derivative of -1/72*l**4 - 9*l + 0*l**3 + 0 + 1/3*l**2. Solve p(i) = 0 for i.
-2, 2
Let f(w) be the second derivative of -w**4/12 - 23*w**3/3 - 529*w**2/2 + 25*w. Factor f(u).
-(u + 23)**2
Factor -9*p - 8*p**3 + 64*p - 6*p**2 - 4*p**3 - 23*p + 24 + 2*p**4.
2*(p - 6)*(p - 2)*(p + 1)**2
Suppose 0 = -0*d - 11*d + 33. Suppose 3*m - 12 = -d. Determine y, given that 0 + 0*y**m - 2/5*y**4 + 4/5*y + 6/5*y**2 = 0.
-1, 0, 2
Factor -1/5*d**5 + 0*d**2 + 0*d + 0 - 3/5*d**3 + 4/5*d**4.
-d**3*(d - 3)*(d - 1)/5
Suppose 14*q - 10*q - 8 = 0. Find o, given that 1/7*o + 0*o**q + 0 - 1/7*o**3 = 0.
-1, 0, 1
Let n be (0 - 3/(-11))/(129/172). Find i, given that -14/11*i - n*i**2 - 8/11 + 2/11*i**3 = 0.
-1, 4
Suppose m + 3 = 0, -4*x + 4*m = 3*m - 3. Determine r so that x + 1/7*r**3 + 0*r - 1/7*r**2 = 0.
0, 1
Let c be 16 + -29 - 74/(-3). Factor 20/3 + 5/2*l**2 - c*l.
5*(l - 4)*(3*l - 2)/6
Let s(b) be the third derivative of 0*b + 3/20*b**6 + 1/168*b**8 + 3*b**2 - 7/30*b**5 + 1/6*b**4 - 1/21*b**7 + 0*b**3 + 0. Determine y so that s(y) = 0.
0, 1, 2
Suppose -14*p = -33*p + 57. Factor -13*g + 5*g**4 + 0*g**4 + 73*g - 60*g**p + 175*g**2 - 180.
5*(g - 6)**2*(g - 1)*(g + 1)
What is g in 4/5*g**4 + 68/5*g**3 + 160 + 168/5*g**2 - 208*g = 0?
-10, 1, 2
Let c(j) be the second derivative of -2*j**5/5 + 5*j**4/3 + 46*j**3/3 + 20*j**2 + j + 27. Solve c(l) = 0.
-2, -1/2, 5
Let d = -56871/7 - -8125. Factor 20/7 + d*o**2 + 24/7*o.
4*(o + 1)*(o + 5)/7
Let t(n) = 86*n + 346. Let m be t(-4). Factor 0 - 1/4*x - 1/4*x**m.
-x*(x + 1)/4
Suppose -3*p - 29 = -2*r, -3*r + 3*p = -18 - 21. Let m = 8 + r. Factor m*c - 2*c**2 - c**2 - 13*c - 8*c + 6.
-3*(c - 1)*(c + 2)
Let j(i) be the first derivative of i**3/4 - 33*i**2/8 - 63*i/2 + 591. What is g in j(g) = 0?
-3, 14
Let k(f) = -8*f**4 + 17*f**3 - 53*f + 48. Let a(x) = -48 + 7*x**4 - 8*x**2 + 52*x - 16*x**3 - 4*x**2 + 12*x**2. Let v(y) = 5*a(y) + 4*k(y). Factor v(c).
3*(c - 2)**3*(c + 2)
Let b(f) be the second derivative of 0 + 0*f**2 + 4/3*f**3 + 42*f + 9/5*f**5 - 2/3*f**6 - 7/3*f**4 + 2/21*f**7. Solve b(r) = 0 for r.
0, 1, 2
Let a(o) = -o**2 + 12*o. Let j be a(12). Determine g so that 4 + 24*g**2 + 30*g**4 - 16*g**3 - 26*g**4 + j*g**2 - 16*g = 0.
1
Let n(h) be the second derivative of h**4 - 1/15*h**5 - 1/2*h**2 + 0 - 2*h - 6*h**3. Let v(w) be the first derivative of n(w). Find b, given that v(b) = 0.
3
Let c = 2623/6 + -437. Let d(v) be the first derivative of c*v**4 - 4 + 0*v + 0*v**2 - 2/3*v**3. Solve d(x) = 0.
0, 3
Let i be ((-8)/(-12))/((-2)/(-11)). Let w be ((-3)/(-4))/((-294)/(-56) - 3). Suppose i*y**3 + 1/3 - 3*y**2 + w*y - 4/3*y**4 = 0. What is y?
-1/4, 1
Suppose 8*j = 3*j + 295. Suppose 0 = 4*y + 5*q - 0*q - j, -5*q = 5. Factor -18*m**2 - 4 + 0 - 6*m + y*m**2.
-2*(m + 1)*(m + 2)
Determine d so that 3/2*d**5 - 39/2*d**4 - 60*d + 111/2*d**2 - 66 + 57/2*d**3 = 0.
-1, 2, 11
Let h(b) be the second derivative of -22*b - 9/100*b**5 + 1/50*b**6 + 0 - 3/5*b**2 + 3/10*b**3 + 1/20*b**4. Find f, given that h(f) = 0.
-1, 1, 2
Suppose -2*x - 81*y + 87*y - 8 = 0, x - 4*y = -7. Find n such that 11/2*n - 11/2*n**3 - x + 9/2*n**2 + 1/2*n**4 = 0.
-1, 1, 10
Let h be (3/(-2))/((-2)/7). Let d(w) be the first derivative of 9*w**3 + 6/5*w**5 + 3*w + 3 - h*w**4 - 15/2*w**2. Determine x, given that d(x) = 0.
1/2, 1
Determine t so that -24/7 - 4/7*t + 4/7*t**2 = 0.
-2, 3
Suppose 0 = 3*u + u - 108. Suppose 4*k + 20 = 0, -u = -5*c + 5*k + 8. Let 0 + 2/9*f**c + 8/9*f**3 + 0*f = 0. Calculate f.
-1/4, 0
Let p(w) = -55*w**2 + 120*w - 90. Let z(n) = -5*n**2 + 11*n - 8. Let v(u) = -4*p(u) + 45*z(u). Find t, given that v(t) = 0.
0, 3
What is p in -22/3*p**2 - 2/3*p**3 + 8/3*p + 88/3 = 0?
-11, -2, 2
Let w(g) be the third derivative of -g**6/180 - 4*g**5/45 - 5*g**4/9 - 16*g**3/9 - 92*g**2. Factor w(u).
-2*(u + 2)**2*(u + 4)/3
Let q(f) be the third derivative of 0*f**6 + 0*f**4 + 0*f**3 - 1/420*f**7 + 0 + 0*f - 5/1344*f**8 + 0*f**5 + 3*f**2. Factor q(s).
-s**4*(5*s + 2)/4
Let u(t) be the third derivative of 0*t + 0 - 1/2*t**3 - 1/80*t**5 + 5/32*t**4 - 11*t**2. Suppose u(c) = 0. Calculate c.
1, 4
Let v be (-3)/(-42) + (-123)/(-42). Find f such that 4/5*f - 6/5*f**2 + 2/5*f**v + 0 = 0.
0, 1, 2
Determine i so that 20/7*i**2 - 144/7 - 352/7*i = 0.
-2/5, 18
Factor 3/5*f**4 + 0*f + 0 - 18/5*f**3 + 3*f**2.
3*f**2*(f - 5)*(f - 1)/5
Let g(q) = 2*q**2 + 12*q + 8. Let c(b) = -2. Let z(p) = -4*c(p) - g(p). Factor z(r).
-2*r*(r + 6)
Suppose -122 = -2*n + 5*z, -4*z = n + n - 158. Factor -300 + 2*a**2 + n*a - 6*a**2 - 11*a + a**2.
-3*(a - 10)**2
Let x(n) = n**2 - n. Let m(s) = 25*s**2 - 15*s - 10. Let u be (2/(-3))/(6/(-9)). Let q(t) = u*m(t) - 20*x(t). What is l in q(l) = 0?
-2, 1
Let j be 4/3*(84/8)/7. Factor -21 + 34 - 17 + 4*b**j.
4*(b - 1)*(b + 1)
Solve 1/8*c**2 + 7/8*c + 0 = 0.
-7, 0
Let m(h) = h - 5. Let a be m(9). Find n such that 176/5*n**3