5/100 + 11*v**2/2 - 8*v. Let j(y) be the first derivative of o(y). Let j(r) = 0. What is r?
-1, 0, 1
Let w(g) = -g**3 - 11*g**2 + 14*g - 21. Let u be w(-12). Let j be ((-42)/u - 1)/((-5)/135). Find t such that -6/5 + j*t - 3/5*t**2 = 0.
1, 2
Let p(l) be the second derivative of -1/6*l**6 + 0*l**4 + 1/2*l**2 - 1/28*l**7 + 7*l + 5/12*l**3 - 1/4*l**5 + 0. Factor p(m).
-(m + 1)**4*(3*m - 2)/2
Suppose -5*s**5 - 75*s**3 - 246*s**2 - 45*s**4 - 238*s**2 - 234*s**2 + 683*s**2 = 0. Calculate s.
-7, -1, 0
Let a(f) = 4*f**2 + 57 - f - 3*f**2 - 58 - 2*f**2. Let l(k) = 16*k**4 - 92*k**3 + 183*k**2 - 165*k + 43. Let s(p) = 5*a(p) - l(p). Find t such that s(t) = 0.
3/4, 1, 2
Suppose -y - 8*y + 36 = 0. Suppose 10*q - y - 16 = 0. Suppose 0 + 2/13*d**q + 6/13*d = 0. What is d?
-3, 0
Let y(p) be the second derivative of -16/3*p**2 + 5*p + 8/3*p**3 + 1/30*p**5 + 0 - 1/2*p**4. What is s in y(s) = 0?
1, 4
Let u be (-7507)/(-19) + 8/(-228)*3. Let z = u - 1139/3. Factor -4/3*k + z*k**2 + 128/3*k**5 - 56*k**3 + 0 + 160/3*k**4.
2*k*(k + 2)*(4*k - 1)**3/3
Suppose 0 = -2*f + 4, 7*k + f + 180 = 8*k. Let p = k + -2000/11. Determine l so that -6/11*l**2 + p*l**3 + 4/11*l + 0 = 0.
0, 1, 2
Let g(q) be the second derivative of 1/4*q**3 + 23/48*q**4 + 0*q**2 + 7/80*q**5 + 0 - 3*q. Factor g(l).
l*(l + 3)*(7*l + 2)/4
Let g(o) be the second derivative of o**6/135 + 13*o**5/90 - o**4/54 - 13*o**3/27 + 151*o. Factor g(a).
2*a*(a - 1)*(a + 1)*(a + 13)/9
Let p(l) be the first derivative of l**7/4620 - l**6/660 - 2*l**3/3 - 29. Let y(d) be the third derivative of p(d). Factor y(z).
2*z**2*(z - 3)/11
Let l(j) = j**3 + 7*j**2 - 9*j - 5. Let a be l(-8). Suppose 0 = -2*x + a + 5. Factor -9 + 0*d**3 - 3*d + x + 3*d**3 + 3*d**2 + 2.
3*(d - 1)*(d + 1)**2
Suppose -34*d - 117 = -219. Find v, given that -1/4*v**2 + 0*v - 1/8*v**d + 1/8*v**4 + 0 = 0.
-1, 0, 2
Let j(r) be the first derivative of 0*r**3 + 9 + 0*r**2 + 0*r + 3/28*r**4 - 1/14*r**6 + 0*r**5. Factor j(f).
-3*f**3*(f - 1)*(f + 1)/7
Suppose -2*x = -2*s - 3 + 11, 3*s - 12 = -5*x. Find y such that 30*y + 3*y**4 + 60*y**3 - 65*y**2 - 5 - 23*y**s + 0*y**3 = 0.
1/2, 1
Let f(q) be the first derivative of 3*q**5/5 - 15*q**4/4 + 7*q**3 - 9*q**2/2 - 339. Solve f(o) = 0.
0, 1, 3
Let y(z) be the first derivative of z**6/6 + 18*z**5/5 + 18*z**4 + 94*z**3/3 + 39*z**2/2 - 160. Factor y(s).
s*(s + 1)**2*(s + 3)*(s + 13)
Let w(x) be the second derivative of 0*x**4 + 0*x**3 - 9*x + 1/60*x**5 + 0*x**2 + 0. Factor w(h).
h**3/3
Let p(u) = 3*u**5 + 13*u**4 - 11*u**3 - 11*u**2 + 13*u + 3. Let a(t) = -2*t**5 - 6*t**4 + 6*t**3 + 6*t**2 - 6*t - 2. Let x(n) = 5*a(n) + 2*p(n). Factor x(b).
-4*(b - 1)**2*(b + 1)**3
Let j(c) = -c**2 - 65*c - 870. Let p be j(-46). What is h in 2/13*h + 2/13*h**p + 6/13*h**2 + 0 + 6/13*h**3 = 0?
-1, 0
Let n(b) be the first derivative of 5*b**6/6 + 14*b**5 + 365*b**4/4 + 860*b**3/3 + 440*b**2 + 320*b + 145. Find d such that n(d) = 0.
-4, -1
Suppose -2*p - 2*p - 22 = -3*l, 2*p = l - 10. Solve 0*b**3 + 2*b**l - 5*b**3 + 6*b + 2*b**3 + b**2 = 0.
-1, 0, 2
Find a such that -80*a**2 - 72 - 2*a**4 - 16*a**3 + 64*a + 49*a**2 + 57*a**2 = 0.
-9, -2, 1, 2
Let n(b) = -6*b**2 + 8*b - 11. Let g(r) = -r**2 + 1. Suppose f = 4*f - 6. Suppose -3*q = 3*u + 6, 3*q + f*u - u = 0. Let m(h) = q*n(h) - 5*g(h). Factor m(o).
-(o - 4)**2
Suppose 4*o = 5*d - 130, -o - 4 = 2*d + 35. Let p be (-22)/70 + 1 - (-10)/o. Factor -1/5*c**2 + 1/2*c**3 + 0*c + 1/10*c**5 - p*c**4 + 0.
c**2*(c - 2)*(c - 1)**2/10
Let a(b) be the second derivative of -b**6/3 + 27*b**5/5 - 82*b**4/3 + 30*b**3 + 25*b**2 - 5*b + 4. Suppose a(t) = 0. Calculate t.
-1/5, 1, 5
Factor 0 + 3/2*s - 1/2*s**3 + s**2.
-s*(s - 3)*(s + 1)/2
Let a be (-30)/36*322/10 - -1. Let x = 26 + a. Factor -5/6*s - 2/3 - x*s**2.
-(s + 1)*(s + 4)/6
Suppose 0 = -6*r - 2*r + 72. Let w(y) = -y**2 + 12*y - 19. Let p be w(r). What is m in -p*m - 4*m**2 - 2/3*m**3 - 16/3 = 0?
-2
Let f = 11 - 6. Suppose -f*v + 4 = -3*v. Factor -3 - 2*y**4 + 6*y**3 + 3*y**5 - y - 3*y**v + 11*y**4 - 8*y - 3*y**2.
3*(y - 1)*(y + 1)**4
Let l(a) be the third derivative of a**7/1050 + a**6/200 + a**5/150 - 42*a**2 + 2. Factor l(t).
t**2*(t + 1)*(t + 2)/5
Let z be 10/(-8)*-6*16/(-24). Let r(w) = w**3 + 7*w**2 + 8*w - 6. Let j be r(z). Find t such that 3/4*t + 0 - 9/4*t**2 + 9/4*t**3 - 3/4*t**j = 0.
0, 1
Suppose 4 = 2*s - 8. Let h = 12 - s. What is m in -10*m**2 - 3*m + 3*m**2 - 3 + 4*m**2 + h*m**2 + 3*m**3 = 0?
-1, 1
Factor -386*z**2 + 448 + 776*z**2 + 92*z - 386*z**2.
4*(z + 7)*(z + 16)
Solve -60/7 - 19/7*b**2 - 1/7*b**3 - 64/7*b = 0 for b.
-15, -2
Let o(n) be the second derivative of n**7/7560 + n**6/4320 - n**5/120 - 5*n**4/2 - 5*n. Let f(b) be the third derivative of o(b). Factor f(x).
(x + 2)*(2*x - 3)/6
Let m(a) = 4*a**2 + 15*a + 11. Let j be m(-3). Let z(w) be the first derivative of 2*w**3 + j*w - 1/2*w**4 - 3 - 3*w**2. Factor z(k).
-2*(k - 1)**3
Let h be (-9)/(-63)*(-238)/(-4). Let d = h + -111/14. Factor -2/7*r + 0 - 2/7*r**3 - d*r**2.
-2*r*(r + 1)**2/7
Let u(j) be the third derivative of j**9/3780 - j**8/1680 - j**7/315 + j**4/3 - 6*j**2. Let n(a) be the second derivative of u(a). Factor n(z).
4*z**2*(z - 2)*(z + 1)
Let o(y) be the second derivative of y**5/20 + 7*y**4/24 + y**3/3 + 3*y**2 - 2*y. Let n(d) be the first derivative of o(d). Factor n(j).
(j + 2)*(3*j + 1)
Let o(y) be the third derivative of -8*y**2 + 1/132*y**4 - 2/33*y**3 + 1/165*y**5 - 1/660*y**6 + 0 + 0*y. Let o(a) = 0. Calculate a.
-1, 1, 2
Factor -4/3 - 625/3*t**3 - 175*t**2 + 32*t.
-(t + 1)*(25*t - 2)**2/3
Let t(b) = -113*b + 910. Let d be t(8). Let g(i) be the second derivative of d*i**2 - 2/3*i**3 - 4/3*i**4 + 0 + i. Factor g(q).
-4*(q + 1)*(4*q - 3)
Let x(m) be the first derivative of -2*m**5/5 + 5*m**4/2 - 8*m**3/3 - 83. Factor x(d).
-2*d**2*(d - 4)*(d - 1)
Let z(s) be the first derivative of -s**5/15 + 11*s**4/12 - 5*s**3/3 - 9*s**2/2 - 217. Determine u so that z(u) = 0.
-1, 0, 3, 9
Suppose -j = -3, 60*d + 3*j - 11 = 59*d. Factor -2/3 - 1/3*c**3 + 0*c**d + c.
-(c - 1)**2*(c + 2)/3
Let s be 9/1 + (-1 - -4) + -3. Suppose -5*y - s = -8*y. Let 0 - 3/2*r**2 + 1/2*r**y + r = 0. Calculate r.
0, 1, 2
Let u(i) = -2*i. Let f be u(6). Let m = -7 - f. Factor 2/5*b**2 - 1/5*b**m - 2/5*b**4 + 1/5*b + 0*b**3 + 0.
-b*(b - 1)*(b + 1)**3/5
Let l(x) be the third derivative of -91*x**5/30 - x**4/6 - 4*x**2 - 34. Factor l(r).
-2*r*(91*r + 2)
Let u(o) = -10*o**2 - 22*o - 18. Let r(q) be the third derivative of 3*q**5/20 + 23*q**4/24 + 19*q**3/6 + 28*q**2. Let h(g) = 6*r(g) + 5*u(g). Factor h(b).
4*(b + 1)*(b + 6)
Determine h, given that 0*h + 0 + 4*h**3 - 8*h**2 - 1/2*h**4 = 0.
0, 4
Suppose -17*s + 9 = -14*s. Find h, given that 4*h - 2*h - 8*h - 4*h**s - 4*h**4 + 20*h**2 - 6*h = 0.
-3, 0, 1
Let u = -20 - -26. Let x(b) = -28*b + 170. Let a be x(u). Factor -10/9*s**3 + 2/9*s**4 + 0 + 16/9*s**a - 8/9*s.
2*s*(s - 2)**2*(s - 1)/9
Suppose -12 = w - 2*f - 10, 2*w + 2*f - 14 = 0. Factor 9/2*b**5 + 8*b**3 + 2*b**2 + 21/2*b**w + 0*b + 0.
b**2*(b + 1)*(3*b + 2)**2/2
Suppose 0*o + 8 = 2*o. Solve 8*w**2 + 5*w**2 - 9*w - 7*w**3 + 2*w**2 + w**o = 0.
0, 1, 3
Factor 2/19*c**3 - 4/19 - 10/19*c + 2/19*c**4 - 6/19*c**2.
2*(c - 2)*(c + 1)**3/19
Suppose 12*r = 10*r - 8, 2*r = 4*m - 20. Factor 4/5*v**m + 2/5*v**4 + 2/5*v**2 + 0*v + 0.
2*v**2*(v + 1)**2/5
Determine r, given that -9 - 961/4*r**3 - 1333/4*r**2 - 102*r = 0.
-1, -6/31
Factor 34/11*g**4 + 1024/11*g + 224/11*g**3 + 2/11*g**5 + 64*g**2 + 512/11.
2*(g + 1)*(g + 4)**4/11
Suppose -15*p - 12*p - 68*p**2 + 35*p + 36*p + 16 + 8*p = 0. Calculate p.
-4/17, 1
Let c(h) = -3*h**3 - h**3 + 24*h + 5*h**2 + 15*h**2. Let o = 1 - -4. Let z(w) = -w**3 + 7*w**2 + 8*w. Let q(g) = o*c(g) - 16*z(g). Factor q(v).
-4*v*(v + 1)*(v + 2)
Let z(s) = -8*s + 330. Let d be z(41). Factor -t - 1 - 1/4*t**d.
-(t + 2)**2/4
Factor -79*d - d**3 + 1113*d**2 + 102 - 560*d**2 - 575*d**2.
-(d - 1)*(d + 6)*(d + 17)
Let b(j) be the second derivative of -19/70*j**5 + 0 + 1/15*j**6 - 2/7*j**2 - 1/21*j**3 - 6*j + 5/14*j**4. Determine w, given that b(w) = 0.
-2/7, 1
Let v(y) be the second derivative of -y**4/42 - 5*y**3/7 + 16*y**2/7 - 56*y. Suppose v(x) = 0. What is x?
-16, 1
Let g = 24 - 22. Let d(h) = h**3 + h - 6. Let f be d(g). Determine v so that 8/3*v**2 + 0 - 16*v**4 + 28/3*v**5 + 0*v + 