*b - 2)
Let 8*r**3 - 8*r**5 - 7*r**3 + 7*r**5 = 0. What is r?
-1, 0, 1
Factor -2 + 5*r**4 + 7*r + r**2 - r**2 - 7*r**3 - 3*r**2.
(r - 1)**2*(r + 1)*(5*r - 2)
Let n be 1 - 3 - (1 - 12). Suppose -3*p - 15 = -3*w + w, -5*w + n = 2*p. Factor -2/3*g**2 - 2/3*g**4 + 4/3*g**w + 0*g + 0.
-2*g**2*(g - 1)**2/3
Let c(t) be the third derivative of -t**9/15120 - t**8/5040 + t**5/6 - 4*t**2. Let n(f) be the third derivative of c(f). Factor n(g).
-4*g**2*(g + 1)
Let p(g) be the first derivative of -3*g**5/20 - 3*g**4/4 - 3*g**3/2 - 3*g**2/2 - 3*g/4 - 17. Suppose p(b) = 0. Calculate b.
-1
Determine v, given that 3/5*v**4 + 6/5*v**5 - 6/5*v**3 + 0*v - 3/5*v**2 + 0 = 0.
-1, -1/2, 0, 1
Let p(t) be the first derivative of t**6/600 + t**5/300 - 5*t**2/2 + 7. Let j(z) be the second derivative of p(z). Factor j(d).
d**2*(d + 1)/5
Let f(h) = -184*h**2 + 56*h - 5. Let m(b) = 2575*b**2 - 785*b + 70. Let v(s) = -55*f(s) - 4*m(s). Solve v(q) = 0 for q.
1/6
Let p be (-10)/3*(-12)/10. Let z be 1/3 + 2/(-6). Determine x, given that 2*x**p + z*x - 3*x + 2*x**3 - 2*x**2 + x = 0.
-1, 0, 1
Let h be ((-6)/(-9))/((-2)/(-15)). Let u = 837/7 + -119. Suppose 10/7*i**3 + 0 + u*i**4 - 4/7*i**2 - 10/7*i**h + 0*i = 0. What is i?
-1, 0, 2/5, 1
Let h(u) be the third derivative of -u**7/70 + u**6/40 + u**5/20 - u**4/8 - 7*u**2. Determine s so that h(s) = 0.
-1, 0, 1
Let q(a) = 3*a**2 - 13*a + 6. Let c be q(4). Let 12/7*x + 18/7 + 2/7*x**c = 0. What is x?
-3
Let k(o) be the first derivative of -o**6/39 - 4*o**5/65 - 9. Determine a so that k(a) = 0.
-2, 0
Let z = 176/195 - 10/13. Let b(g) be the first derivative of 0*g + 1/9*g**6 - 1/6*g**4 + 2/9*g**3 + 2 - z*g**5 + 0*g**2. Let b(o) = 0. Calculate o.
-1, 0, 1
Let m be (-8)/6*2/(-4). Find u such that -m*u**5 - 2/3*u**4 + 0*u**3 + 0*u + 0*u**2 + 0 = 0.
-1, 0
Let k = -1515/28 - -221/4. Factor 8/7 + 4*w**3 - 4*w - k*w**2.
4*(w - 1)*(w + 1)*(7*w - 2)/7
Let x = 23/3 + -7. Let w(s) be the first derivative of 1/3*s + 3 + 1/3*s**4 + 2/3*s**2 + x*s**3 + 1/15*s**5. Determine n, given that w(n) = 0.
-1
Suppose -2*b - 118 = 2*r, 4*b + 273 = -5*r + 38. Let u be ((-16)/b)/(18/15). What is j in 8/9*j**3 + 4/3*j**2 + 2/9*j**4 + u + 8/9*j = 0?
-1
Let i(k) = -k**3 + 13*k**2 + 14*k - 19. Let f be i(14). Let b = f - -21. Factor -8/5*d**4 + 0*d + 0 + 6/5*d**3 + 2/5*d**b.
-2*d**2*(d - 1)*(4*d + 1)/5
Let i(a) = -9*a**3 + 4*a**2 + 4*a + 1. Let d(k) = -13*k**3 + 6*k**2 + 6*k + 1. Let w(z) = -5*d(z) + 7*i(z). Let w(h) = 0. Calculate h.
-1, 1
Let r(d) be the second derivative of d**5/30 + d**4/6 + d**3/3 - d**2/2 - 4*d. Let x(j) be the first derivative of r(j). Let x(v) = 0. Calculate v.
-1
Let -10/11*c + 6/11*c**2 + 2/11*c**3 - 2/11*c**4 + 4/11 = 0. Calculate c.
-2, 1
Suppose -6 = -3*f - 0*f. Factor 1 + 4*a**2 + 2*a - 4*a**2 + a**f.
(a + 1)**2
Let l(m) = -m**2 - 9*m - 8. Let q be l(-8). Suppose -2*y + 0*y + 4 = q. Find g, given that 1/5*g**y - 4/5*g + 4/5 = 0.
2
Let k(u) be the second derivative of u**7/294 - u**6/105 + u**4/42 - u**3/42 - 24*u. Factor k(d).
d*(d - 1)**3*(d + 1)/7
Let b = -2191/16 - -137. Let i(c) be the first derivative of -4 - 3/8*c**2 + 0*c**3 + b*c**4 - 1/2*c. Let i(y) = 0. Calculate y.
-1, 2
Let c = -3092/1001625 + -6/2671. Let a = 3014/2625 + c. Determine v so that -6/7*v**2 - 8/7*v + a = 0.
-2, 2/3
Factor 0*q**3 - 1/2*q + q**2 + 1/2*q**5 + 0 - q**4.
q*(q - 1)**3*(q + 1)/2
Let u be ((-2)/(-8))/(3/4). Factor -2/3 + z + 0*z**2 - u*z**3.
-(z - 1)**2*(z + 2)/3
Let n be ((-16)/(-6) - 2)/(4/3). Suppose n*y + 1/6*y**2 + 1/3 = 0. What is y?
-2, -1
Factor w**3 - 4 - 9*w**3 - w + 9*w + 4*w**4.
4*(w - 1)**3*(w + 1)
Factor -o**2 + 2*o - 3 + 8*o - 6*o.
-(o - 3)*(o - 1)
Let n(g) be the second derivative of g**8/294 + g**7/245 - g**6/420 - g**2/2 + 2*g. Let m(s) be the first derivative of n(s). Factor m(w).
2*w**3*(w + 1)*(4*w - 1)/7
Let r = -3 - -5. Factor 2*s - 6*s**3 + s**2 + 34*s**3 + 12*s**2 + r*s**2.
s*(4*s + 1)*(7*s + 2)
Let g(d) be the third derivative of 0*d - d**2 + 1/72*d**4 - 1/180*d**5 - 1/360*d**6 + 0 + 1/18*d**3. What is t in g(t) = 0?
-1, 1
Let h(r) be the third derivative of -r**6/360 - r**5/60 - r**4/24 - r**3/2 - r**2. Let t(q) be the first derivative of h(q). Suppose t(i) = 0. Calculate i.
-1
Let 42*z**3 + 48*z**2 + 2*z**4 - 12*z**3 + 4 + 26*z + 6*z**4 + 4*z**3 = 0. Calculate z.
-2, -1, -1/4
Suppose -3*y = -d + 8, -4*y + 3*y + 2*d - 1 = 0. Let f(k) = 2*k**2 + k + 3. Let s be f(y). Factor -10*w**2 + 14*w**4 - 18*w - 4 - 7*w**3 + s*w**3 + 7*w**3.
2*(w - 1)*(w + 1)**2*(7*w + 2)
Let m be (-12)/(-21)*(-14)/(-4). Factor 2/3*t**m + 0 + 0*t.
2*t**2/3
Let m = 9 - 5. Suppose o = -o + m. Factor -q**3 + 2*q**3 - o*q**2 - 2*q**3.
-q**2*(q + 2)
Let m be 9 - 12 - 16/(-5). Solve 0*p**2 - 1/5*p**4 + m + 2/5*p**3 - 2/5*p = 0.
-1, 1
Suppose -3*m + 3 + 3 = 0. Suppose 5*g + g**3 + 0*g - g**m - 5*g = 0. Calculate g.
0, 1
Let z(f) be the first derivative of 3*f**5/20 + 5*f**4/16 - f**3/6 + 28. What is c in z(c) = 0?
-2, 0, 1/3
Let d(c) be the second derivative of -c**6/15 - c**5/10 + c**4/2 + 5*c**3/3 + 2*c**2 + 7*c. Determine s so that d(s) = 0.
-1, 2
Let v(p) be the third derivative of -p**8/672 - p**7/420 + p**6/80 + p**5/120 - p**4/24 + 10*p**2. Suppose v(n) = 0. Calculate n.
-2, -1, 0, 1
Let c = 19 - 11. Let r(h) be the second derivative of 1/10*h**5 + 4*h**3 + c*h**2 + h**4 + 3*h + 0. Factor r(p).
2*(p + 2)**3
Suppose 19*r - 112 = -9*r. Let -19/3*k**3 - 2/3 + 5*k**2 - 1/3*k + 7/3*k**r = 0. What is k?
-2/7, 1
Let y(m) = -9*m**2 - 34*m + 29. Let k(u) = 6*u**2 + 23*u - 19. Let d(a) = 7*k(a) + 5*y(a). Factor d(x).
-3*(x - 1)*(x + 4)
Let i(f) be the third derivative of -f**7/525 - f**6/100 - f**5/150 + f**4/20 + 2*f**3/15 + 25*f**2. Suppose i(j) = 0. Calculate j.
-2, -1, 1
Let u(h) be the second derivative of h**9/9072 - h**8/1680 + h**7/840 - h**6/1080 - h**4/4 + 3*h. Let f(t) be the third derivative of u(t). Factor f(i).
i*(i - 1)**2*(5*i - 2)/3
Let d(c) = 5*c**2 - 1. Let r be d(1). Let b be 3/18 + (-17)/(-6). Factor -10*s**3 + b*s**4 + 12*s**2 + 2*s + 6*s - 16 - s**r.
2*(s - 2)**3*(s + 1)
Let m(x) be the third derivative of 0*x**3 + 0*x - 3*x**2 + 0 + 1/12*x**4 + 1/240*x**6 - 1/30*x**5. Determine s so that m(s) = 0.
0, 2
Factor 0*a + 0 - 2/9*a**2 - 2/9*a**3.
-2*a**2*(a + 1)/9
Suppose -4*o - 2*x = -32, x - 4*x = -o + 15. Let w = 12 - o. Factor 0 - 3*c + 3/2*c**2 + 3/2*c**w.
3*c*(c - 1)*(c + 2)/2
Let s(w) = 6*w**3 - 10*w**2 + 7*w + 11. Let d(t) = -t**3 + t**2 - t - 1. Let f = -33 + 5. Let a(q) = f*d(q) - 4*s(q). Solve a(m) = 0.
-2, 1
Let u(t) = t**2 + 7*t + 6. Let m be u(-6). Let v = 361/3 + -119. Factor -v*w**2 + 2/3*w**3 + 2/3*w + m.
2*w*(w - 1)**2/3
Let d(m) = -m**3 + m**2 + m. Let j(x) = x**4 - 2*x**3 + x**2 + 2*x. Let b be 32/(-18) - 6/27. Let u(y) = b*d(y) + j(y). Factor u(q).
q**2*(q - 1)*(q + 1)
Find d such that 0 + 18*d**3 - 10*d**4 + 8/5*d - 48/5*d**2 = 0.
0, 2/5, 1
Determine k, given that 0*k + 2/13*k**4 + 18/13*k**2 + 0 + 12/13*k**3 = 0.
-3, 0
Let c(n) = 8*n**3 - 2*n**2 + 14. Let g(p) be the second derivative of -p**5/20 + p**4/12 - p**3/6 - p**2/2 - 3*p. Let q(h) = -c(h) - 10*g(h). Factor q(i).
2*(i - 2)*(i - 1)**2
Suppose -s + 4 = -0. Factor 12*t**2 - 4*t**4 - 9*t + 13*t**s - 15*t + 30*t**3.
3*t*(t + 2)**2*(3*t - 2)
Let g be (7/(-3))/(48/(-72)). Let f = g - 3. Factor f*r**2 - r + 1/2.
(r - 1)**2/2
Let q(f) be the third derivative of -f**5/12 - 6*f**2. Determine m so that q(m) = 0.
0
Let f(a) be the second derivative of a**5/150 - 6*a. Solve f(z) = 0.
0
Let l(v) be the first derivative of v**5/70 + v**4/42 - v**3/21 + 3*v**2/2 + 2. Let j(p) be the second derivative of l(p). Factor j(x).
2*(x + 1)*(3*x - 1)/7
Let i be (1 - 5)*(-2)/4. Solve -3*f + 3*f**3 + 1 - i - 3*f**2 + 4 = 0 for f.
-1, 1
Let b(r) = -r - 2. Let x be b(-6). Let a be 0/((-2)/x*-6). Factor 19/2*o**4 + o - 15/2*o**3 + 1/2*o**2 + a - 7/2*o**5.
-o*(o - 1)**3*(7*o + 2)/2
Let n(i) be the second derivative of -4/9*i**3 + 2*i + 0 + 1/6*i**4 + 1/3*i**2. Factor n(h).
2*(h - 1)*(3*h - 1)/3
Let k(q) be the second derivative of -q**5/4 + 7*q**4/12 - 13*q**3/24 + q**2/4 - 22*q. Suppose k(p) = 0. What is p?
2/5, 1/2
Let u(d) be the first derivative of -d**4/32 - 5*d**3/24 - 7*d**2/16 - 3*d/8 - 46. Determine k so that u(k) = 0.
-3, -1
Factor 20 - 2*r**2 + 7*r**2 + 2*r - 20*r - 2*r.
5*(r - 2)**