7*r**2 - 2/7*r + 0 - 6/7*r**h = 0. Calculate r.
0, 1/3, 1
Let v = 132/13 - 807/91. Determine c so that 0 - 6/7*c + 0*c**3 + 3/7*c**4 - v*c**2 = 0.
-1, 0, 2
Suppose 4*c - 2*r - 4 = 24, 2*r = -5*c + 26. Let y be c/(-27) + 23/9. What is t in y*t**3 + 0 - 5/3*t**2 + 1/3*t - t**4 = 0?
0, 1/3, 1
Let n(g) be the second derivative of -7/12*g**3 + g + 1/8*g**4 + 0 + 1/2*g**2. What is s in n(s) = 0?
1/3, 2
Let t(v) be the first derivative of v**6/3 - 2*v**5 + 7*v**4/2 + 2*v**3/3 - 8*v**2 + 8*v + 35. Let t(d) = 0. Calculate d.
-1, 1, 2
Let j(f) be the second derivative of 1/6*f**4 - 1/3*f**3 + 1/10*f**5 - 2*f - f**2 + 0. Factor j(n).
2*(n - 1)*(n + 1)**2
Find a such that 4/11 + 2/11*a**2 + 6/11*a = 0.
-2, -1
Let d(l) be the second derivative of l**7/280 - l**6/360 - l**5/72 - l**4/72 - l**3/3 - 2*l. Let v(b) be the second derivative of d(b). Factor v(w).
(w - 1)*(3*w + 1)**2/3
Let h be (0/(-2 - -1))/(-2). Let q(k) = 2*k - 4. Let g be q(4). Factor g*y - 5*y + h*y + y**2.
y*(y - 1)
Let j be 0 - ((-12)/(-18) - (-56)/(-66)). Let z be -2 - (138/(-33) - -2). Determine s so that -j*s**2 + z*s + 4/11 = 0.
-1, 2
Let u = 35/74 - -1/37. Find f, given that 1/2*f**2 + 0 + 1/2*f - u*f**4 - 1/2*f**3 = 0.
-1, 0, 1
Let n(r) = 3 - 12*r + 4 + 14*r - 3. Let c be n(-2). Let -1/4*b**4 + c*b - b**2 - b**3 + 0 = 0. What is b?
-2, 0
Let r = -690 + 690. Factor -2/9*f**2 + 0*f + r - 2/9*f**4 - 4/9*f**3.
-2*f**2*(f + 1)**2/9
Let u be 7/(6/4 + -2). Let x be -3 - 5/(10/u). Suppose 0*w + 1/3*w**x + 0*w**2 + 0 - 1/3*w**3 = 0. Calculate w.
0, 1
Factor 20/7*x - 100/7 - 1/7*x**2.
-(x - 10)**2/7
Let q(n) be the second derivative of 0 + 1/30*n**3 + 0*n**4 - 1/100*n**5 + 0*n**2 - 4*n. Let q(i) = 0. Calculate i.
-1, 0, 1
Let h(d) be the second derivative of 3*d + 1/10*d**6 + 1/2*d**3 - 1/6*d**4 - 1/10*d**5 - 1/2*d**2 + 0 - 1/42*d**7. Factor h(c).
-(c - 1)**4*(c + 1)
Let p(t) = -t**3 - 9*t**2 + t + 12. Let l be p(-9). Factor 6*m**5 + 3*m**5 + l*m**3 + 3*m**5 + 2*m**2 - 13*m**5.
-m**2*(m - 2)*(m + 1)**2
Let q(l) be the second derivative of 1/4*l**4 + 3/2*l**3 + 3*l - 1/5*l**5 + 0 + l**2. Factor q(z).
-(z - 2)*(z + 1)*(4*z + 1)
Let n be 404/960 - (-2 - 12/(-5)). Let q(c) be the second derivative of 0 + 1/8*c**2 + 0*c**3 + c - n*c**4. Suppose q(v) = 0. What is v?
-1, 1
Let h(s) = -3*s**2 - 22*s - 5. Let p be h(-7). Solve 4/3 + 2/3*w - 2/3*w**p = 0.
-1, 2
Let v(x) = x**2 + 2. Let c be v(0). Factor 9*h**2 + c*h**4 + 8*h + 1 + 7*h**3 - 10*h + 7*h.
(h + 1)**3*(2*h + 1)
Suppose 0 = -g + t + 7, -2*t - 2*t + 20 = 4*g. Let o(l) be the third derivative of 0*l**4 + 1/60*l**g - 1/30*l**5 + 0 + 0*l + 2*l**2 + 0*l**3. Factor o(x).
2*x**2*(x - 1)
Let f be ((-52)/(-20) - 4)/(15/(-50)). Solve 2 + 8/3*p**2 + f*p = 0 for p.
-1, -3/4
Let t be (-3)/(-72)*(-2)/(-3). Let a(o) be the second derivative of 1/18*o**3 + 0*o**2 + t*o**4 - o + 0. Factor a(p).
p*(p + 1)/3
Let m(t) = 2*t**3 + 2*t**2 + 4*t + 4. Let y(p) be the first derivative of 3/2*p**2 + 3*p + 4 + 2/3*p**3 + 1/2*p**4. Let h(s) = -3*m(s) + 4*y(s). Factor h(r).
2*r**2*(r + 1)
Suppose 0 + 2*d + 39*d**2 + 3 - 40*d**2 = 0. What is d?
-1, 3
Let g(f) be the third derivative of -f**8/672 + 4*f**7/315 - f**6/360 - 2*f**5/45 + 5*f**4/144 - 59*f**2. Solve g(b) = 0.
-1, 0, 1/3, 1, 5
Let y(h) = 25*h**2 - 83*h + 28. Let g(c) = c - 1. Let f(w) = 2*g(w) - y(w). Find i such that f(i) = 0.
2/5, 3
Let m be (-58)/42 + 95/57. Solve -2/7*a**4 - m*a**3 + 0*a + 2/7*a**2 + 0 + 2/7*a**5 = 0 for a.
-1, 0, 1
Let h(n) be the first derivative of n**5 - 5*n**3 + 5*n**2 + 6. Let h(c) = 0. Calculate c.
-2, 0, 1
Let m = -54 - -56. Let z(p) be the first derivative of 2/15*p**3 + 2/5*p - 2/5*p**m - 2. Factor z(v).
2*(v - 1)**2/5
Let n(m) = -16*m**3 + 187*m**2 - 450*m - 121. Let d(b) = 145*b**3 - 1685*b**2 + 4050*b + 1090. Let h(i) = -4*d(i) - 35*n(i). Factor h(w).
-5*(w - 5)**2*(4*w + 1)
Let y = -7 + 7. Factor 5*i**2 + y*i**3 - 4*i**3 + i - 2*i.
-i*(i - 1)*(4*i - 1)
Let j be (-2)/((-10)/4 + 2). Factor -p**j + 0*p**2 + 0*p**2 + 2*p**2 - 1.
-(p - 1)**2*(p + 1)**2
Let z(o) be the third derivative of -o**7/1050 - o**6/50 - 9*o**5/50 - 9*o**4/10 - 27*o**3/10 + 5*o**2. Factor z(p).
-(p + 3)**4/5
Let s(m) be the third derivative of m**6/2520 - m**5/840 - m**4/84 + 2*m**3/3 - 3*m**2. Let p(b) be the first derivative of s(b). Find l such that p(l) = 0.
-1, 2
Let v(r) be the second derivative of r**7/21 - 7*r**6/15 + 19*r**5/10 - 25*r**4/6 + 16*r**3/3 - 4*r**2 + 7*r. Determine u, given that v(u) = 0.
1, 2
Let p be (-6)/(-4)*(-8)/(-4). Solve -4*m**2 + m**2 + 4*m**3 + 4*m**p - 5*m**3 = 0 for m.
0, 1
Let a be (-47)/564 + 25/12. Factor -2/7 + 32/7*q**3 - a*q - 16/7*q**2.
2*(q - 1)*(4*q + 1)**2/7
Let a(m) be the first derivative of -2*m**3/3 - 2*m**2/7 - 9. Suppose a(n) = 0. What is n?
-2/7, 0
Let c(i) be the second derivative of 5*i**4/12 + 65*i**3/3 + 845*i**2/2 + i - 5. Let c(g) = 0. What is g?
-13
Suppose 4*o + 464 = 5*o. Determine q so that -58*q**2 - 11 + 37*q + o*q**3 - 272*q**2 + 3 - 160*q**4 + 51*q = 0.
1/4, 2/5, 2
Let x(s) = -85*s**3 - 135*s**2 - 50*s + 35. Let c(j) = -5*j**3 - 8*j**2 - 3*j + 2. Let v(k) = 35*c(k) - 2*x(k). Factor v(g).
-5*g*(g + 1)**2
Let j(d) be the third derivative of -d**10/226800 - d**5/20 - 3*d**2. Let b(y) be the third derivative of j(y). Factor b(i).
-2*i**4/3
Determine k so that 2 + 0*k**3 + 10 - 6 - 3*k**3 + 9*k = 0.
-1, 2
Factor -1/2*k**4 + 1/2*k**2 - 1/2*k + 0 + 1/2*k**3.
-k*(k - 1)**2*(k + 1)/2
Suppose m = 3*d - 40, -4*m = 2*d - 8 - 0. Suppose -4 = -o + u + 4, 0 = -4*u - d. Factor -6*a**3 - 2*a + 0*a + o*a**2 + a**2 + 2*a**4.
2*a*(a - 1)**3
Let d(i) be the second derivative of -i**4/16 + 3*i**2/8 - 6*i. Solve d(f) = 0 for f.
-1, 1
Factor 1/6*r**4 - 1/6*r**3 + 0 - 1/6*r**2 + 1/6*r**5 + 0*r.
r**2*(r - 1)*(r + 1)**2/6
Let o(k) be the first derivative of 2/9*k**2 + 2/27*k**3 + 2/9*k + 7. Factor o(d).
2*(d + 1)**2/9
Suppose 5*n**2 + 5*n**4 - 6*n**2 - 15*n**3 + 6*n**2 + 5*n**3 = 0. What is n?
0, 1
Let a(y) = -4*y**4 - 5*y**3 - 6*y**2 - 3*y. Suppose -4*o = -o - 3. Let i(p) = p**4 + p**2 + p. Let x(s) = o*a(s) + 2*i(s). Determine b so that x(b) = 0.
-1, -1/2, 0
Let t be (-5)/15 - 15/(-18). Let 3/2*v + 0 + t*v**2 = 0. Calculate v.
-3, 0
Let n(a) = -6*a - 57. Let s be n(-10). Let -2/5*z**s + 4/5 + 8/5*z**2 - 2*z = 0. What is z?
1, 2
Let i be ((-12)/5)/(27/(-10)). Let s be -1*1/((-2)/4). Suppose -2/9 - i*x - 8/9*x**5 + 16/9*x**3 + 4/9*x**s - 2/9*x**4 = 0. What is x?
-1, -1/4, 1
Factor -3 - 3/2*x + 3/2*x**2.
3*(x - 2)*(x + 1)/2
Let z(n) be the first derivative of 2 + 0*n - 3/2*n**2 + 0*n**3 + 3/4*n**4. Factor z(j).
3*j*(j - 1)*(j + 1)
Let u(r) be the third derivative of -r**8/336 + r**7/210 + r**6/60 - r**5/30 - r**4/24 + r**3/6 + 3*r**2. Factor u(n).
-(n - 1)**3*(n + 1)**2
Let s(f) = -3*f - 1. Let n be s(-1). Solve 60*w**n + 4*w**4 - 64*w**2 + 0*w**5 - 4*w**3 + 4*w**5 = 0.
-1, 0, 1
Let p(m) be the first derivative of -m**6/6 + m**5/5 + m**4/4 - m**3/3 + 2. Factor p(z).
-z**2*(z - 1)**2*(z + 1)
Let u be (-8)/16*(0 + -10). Factor 6*b**2 + 36*b**4 - 20*b**3 + 6*b**u - 13*b**3 + 21*b**5.
3*b**2*(b + 2)*(3*b - 1)**2
Let x = -912 + 2740/3. Suppose 0*a + 0 + x*a**2 + 2/3*a**3 = 0. What is a?
-2, 0
Let u(f) be the third derivative of -f**5/100 - f**4/40 + f**3/5 - f**2 + 2*f. Solve u(c) = 0.
-2, 1
Suppose 2*l - 3*l = -5. Let a = -3 + l. Let -2*o**5 + 6*o**4 + o**3 - 2*o**3 - 5*o**3 + a*o**2 = 0. Calculate o.
0, 1
Let b = 103 - 923/9. Factor -b*d**2 + 2/9*d**3 + 2/9*d + 0.
2*d*(d - 1)**2/9
Let j(k) be the second derivative of 1/45*k**6 + 1/60*k**5 + 0*k**3 + 8*k + 1/126*k**7 + 0*k**2 + 0 + 0*k**4. Factor j(l).
l**3*(l + 1)**2/3
Let f(b) be the second derivative of 4*b**7/189 - b**6/9 + 4*b**5/45 + 19*b**4/54 - 4*b**3/9 - 4*b**2/9 + 2*b. Determine a so that f(a) = 0.
-1, -1/4, 1, 2
Let f(r) be the third derivative of r**6/120 + r**5/20 - 3*r**4/8 - 9*r**3/2 - 2*r**2 - 19. Determine n so that f(n) = 0.
-3, 3
Let o = -408 - -48961/120. Let t(f) be the third derivative of 0*f**4 + 1/336*f**8 - 1/84*f**7 + 0 + 0*f + 0*f**3 + f**2 - o*f**5 + 1/60*f**6. Solve t(l) = 0.
0, 1/2, 1
Let z(c) be the third derivative of -c**7/1365 + c**6/390 + c**5/130 - c**4/39 - 4*c**3/39 - 42*c**2. Solve z(u) = 0.
-1, 2
Let z(g) be the third derivative of g**6/600 + 7*g**5/300 + 2*g**4/15 + 2*g**3/5 - 15*g**2.