 + 1)/4
Suppose 5*o = -0*o - 60. Let h be 3/o + 119/252. Find w, given that 2/9*w + 0*w**2 - h*w**3 + 0 = 0.
-1, 0, 1
Let q(p) be the first derivative of -6*p**5/35 - 3*p**4/14 + 8*p**3/7 + 12*p**2/7 + 24. Determine s so that q(s) = 0.
-2, -1, 0, 2
Let x(n) be the second derivative of -n**4/21 + n**3/21 + 3*n**2/7 - 15*n. Factor x(r).
-2*(r + 1)*(2*r - 3)/7
Let y(h) be the third derivative of -1/90*h**5 + 0 + 0*h**3 + 0*h**4 + 0*h - 5*h**2. Suppose y(s) = 0. Calculate s.
0
Let n(i) be the third derivative of -i**5/100 - i**4/10 + 6*i**3/5 - i**2 - 43*i. Suppose n(b) = 0. What is b?
-6, 2
Let g(t) be the first derivative of 20*t**3 + 50*t**2 + 125*t/3 - 19. Solve g(c) = 0.
-5/6
Determine r so that 2*r**3 + 2/5*r**5 - 12/5*r + 2*r**2 + 0 - 2*r**4 = 0.
-1, 0, 1, 2, 3
Find f such that -119*f - 39 + 87 + 89*f + 3*f**2 = 0.
2, 8
Let s(c) be the second derivative of c**6/70 + 3*c**5/7 + 9*c**4/14 - 10*c**3/7 - 57*c**2/14 + 117*c - 1. Let s(u) = 0. Calculate u.
-19, -1, 1
Let a be (-4 + -2)/(2610/(-232)). Solve -2/15*g**2 + 2/15*g**4 + a*g - 8/15*g**3 + 0 = 0 for g.
-1, 0, 1, 4
Suppose 0*v = -3*v + 24. Suppose -6*c + v = -2*c. Suppose -m**4 - 3*m + c*m - 5*m - 9*m**2 + 4*m**4 = 0. What is m?
-1, 0, 2
Let c(g) = g**3 - 25*g**2 - 18*g - 208. Let h be c(26). Find q such that 3/8*q**3 - 3/4*q + h + 3/8*q**5 - 9/8*q**4 + 9/8*q**2 = 0.
-1, 0, 1, 2
Let f(n) be the third derivative of -n**5/20 - 5*n**4/4 + 11*n**3/2 + 101*n**2. Factor f(w).
-3*(w - 1)*(w + 11)
Let x = -1/8476 - 316789/12714. Let l = x - -217/6. Find s, given that -3/2*s + 0 + 21/4*s**5 - 3/4*s**2 - 57/4*s**4 + l*s**3 = 0.
-2/7, 0, 1
Factor 72 - 27727*l**4 + 216*l**3 + 4*l**5 + 260*l + 322*l**2 + 30*l**2 + 27783*l**4.
4*(l + 1)**3*(l + 2)*(l + 9)
Let c(m) be the first derivative of -5*m**7/42 - 2*m**6/3 - 3*m**5/2 - 5*m**4/3 - 5*m**3/6 - 13*m - 4. Let v(t) be the first derivative of c(t). Factor v(i).
-5*i*(i + 1)**4
Let k(m) be the first derivative of 0*m - 2 + 0*m**2 - 1/48*m**4 + 0*m**3 - 1/60*m**5. Factor k(r).
-r**3*(r + 1)/12
Let a(v) be the second derivative of 4*v**7/7 + 22*v**6/15 - 4*v**5 - 7*v**4 + 56*v**3/3 - 8*v**2 + 21*v + 2. Let a(d) = 0. Calculate d.
-2, 1/6, 1
Let k(s) = -5*s**2 - 6*s - 12. Let m be k(-4). Let i = -65 - m. Solve 1/5*p**5 + 0*p + 0 + 1/5*p**i - 2/5*p**4 + 0*p**2 = 0 for p.
0, 1
Let x(y) be the second derivative of -y**7/7560 - y**6/270 - 7*y**5/360 + 7*y**4/6 + 20*y. Let z(r) be the third derivative of x(r). What is t in z(t) = 0?
-7, -1
Factor 17*o**3 - 4*o**5 + 19*o**4 + 21*o**3 + 5*o**4 - 26*o**3 + 16*o**3.
-4*o**3*(o - 7)*(o + 1)
Let l(n) be the third derivative of n**6/40 + n**5 + 117*n**4/8 + 81*n**3 - 2*n**2 - 16*n. Let l(v) = 0. What is v?
-9, -2
Let i = 56 + -71. Let p be 8 + -8 - (21/i + 1). Factor 0 + 2/5*w**3 - p*w + 0*w**2.
2*w*(w - 1)*(w + 1)/5
Let 288 + 264*x - 47/2*x**2 + 1/2*x**3 = 0. What is x?
-1, 24
Let c be ((-1796)/(-42))/((-4)/(-6)). Let y = c + -64. Find n, given that y*n**2 + 0 + 0*n = 0.
0
Suppose 4*i + 1 - 17 = 0. Suppose 12*u**3 - 3*u**2 - 13*u - i*u**4 - u**2 + 7 + 1 + u = 0. What is u?
-1, 1, 2
Let k = -65 - -70. Let x(a) be the second derivative of 0*a**2 + 0 + 3/10*a**k + 2/15*a**6 + a - 4/21*a**7 + 1/6*a**3 - 5/12*a**4. Let x(p) = 0. Calculate p.
-1, 0, 1/2
Let p(k) be the second derivative of k**4/12 + 2*k**3/3 - 6*k**2 + 145*k. Determine w, given that p(w) = 0.
-6, 2
Factor 0 - 2/9*v**4 - 4/9*v + 0*v**3 + 2/3*v**2.
-2*v*(v - 1)**2*(v + 2)/9
Let o(j) be the third derivative of 0*j + 5/48*j**4 + 0*j**3 + 9*j**2 + 0 - 1/48*j**5. Factor o(t).
-5*t*(t - 2)/4
Find u such that -u**3 - 4*u + 5*u**3 - 4*u**2 - 5*u + u = 0.
-1, 0, 2
Suppose 0 = -4*u - 1834 + 1834. Let -4/5*t**3 + 0*t + u + 3/10*t**4 + 2/5*t**2 = 0. What is t?
0, 2/3, 2
Let n(j) = -4*j**3 - 72*j**2 + 82*j + 117. Let c be n(-19). Solve -4/3*m**2 + 5/6*m + 25/3 + 1/6*m**c = 0.
-2, 5
Let l be (-25)/60*((-676)/65 + 10). Factor 0 + l*t**2 - t.
t*(t - 6)/6
Let o(h) be the second derivative of 0*h**6 + 0*h**3 - 12*h - 1/504*h**7 + 0*h**4 + 0 + 0*h**2 + 0*h**5. Find f, given that o(f) = 0.
0
Let k(d) be the first derivative of -2*d**3/3 - 8*d**2 + 18*d + 13. Determine l so that k(l) = 0.
-9, 1
Suppose 0 = 7*m - 33 + 12. Factor -8*z + 35*z**3 - m*z**3 - 20*z**4 + 0*z**2 - 4*z**2.
-4*z*(z - 1)**2*(5*z + 2)
Let i(r) be the third derivative of -r**5/80 + 25*r**4/8 - 625*r**3/2 + 145*r**2 + 2. Factor i(s).
-3*(s - 50)**2/4
Let c(q) be the third derivative of q**6/720 - q**4/48 - q**3/18 - 20*q**2 + 4*q. Factor c(g).
(g - 2)*(g + 1)**2/6
Let 118*k**4 - 830*k**3 - 50*k - 195*k - 3430 - 5*k**5 - 8*k**4 + 2240*k**2 = 0. Calculate k.
-1, 2, 7
Suppose -9*a - 13 + 40 = 0. Let d be (-4)/(-30)*(4 - (-2)/4). Solve -d - 12/5*p + a*p**2 = 0.
-1/5, 1
Suppose -4*l + 4*f + 20 = 0, -4*l - 9 = -l + 5*f. Let a = 4/15 - 2/45. Factor a*s**l - 4/3*s + 2.
2*(s - 3)**2/9
Let f(x) be the third derivative of -x**7/1890 + x**6/135 - 4*x**5/135 - 113*x**2. Factor f(c).
-c**2*(c - 4)**2/9
Let s be (4/(-12))/((-1 - -3)/(-30)). Let g(z) be the third derivative of 0*z**s - 2/21*z**3 + 0*z - 1/420*z**6 + 1/28*z**4 + 0 - 6*z**2. Factor g(m).
-2*(m - 1)**2*(m + 2)/7
Let t(v) be the third derivative of -v**7/10 + 9*v**6/40 + 27*v**5/10 - 25*v**4/2 + 12*v**3 - 64*v**2. Find w, given that t(w) = 0.
-3, 2/7, 2
Factor -4*d**3 + 2/9*d**5 - 100/9*d**2 - 94/9*d - 10/3 + 2/9*d**4.
2*(d - 5)*(d + 1)**3*(d + 3)/9
Factor -109*j - 28*j - 5*j**3 - 10*j**2 + 237*j - 120.
-5*(j - 2)**2*(j + 6)
Let k(f) = f**3 + f**2 + f - 1. Let j(g) = 5*g**3 + 13*g**2 + 31*g + 23. Let h(o) = j(o) - 4*k(o). Factor h(n).
(n + 3)**3
Let v = 152 + -141. Suppose 11*p - v = -0. Factor -1/4*x**2 + p + 0*x.
-(x - 2)*(x + 2)/4
Let d(p) = p**3. Let u(v) = 2*v - 10. Let j be u(4). Let s(m) = -2*m - 2*m**2 + 9*m**3 + 4*m + 11*m**2. Let y(q) = j*s(q) + 4*d(q). Factor y(w).
-2*w*(w + 1)*(7*w + 2)
Let x(u) be the second derivative of u**8/784 - u**6/70 - 11*u**2 + 23*u. Let v(p) be the first derivative of x(p). Let v(g) = 0. What is g?
-2, 0, 2
Suppose -2*k + 0 - 3*k**3 - 13/3*k**2 - 2/3*k**4 = 0. What is k?
-2, -3/2, -1, 0
Let j = -1706 + 1706. Let c(f) be the second derivative of 0*f**5 + 0*f**2 + j*f**3 + 6*f + 0 + 1/20*f**4 - 1/50*f**6. Determine r so that c(r) = 0.
-1, 0, 1
Let f = -4196 + 4196. Factor -16/3*w**3 + f*w + 0 + 16*w**2 + 4/9*w**4.
4*w**2*(w - 6)**2/9
Let v(x) be the first derivative of x**4/44 - 7*x**3/33 + 5*x**2/11 - 231. Factor v(i).
i*(i - 5)*(i - 2)/11
Let o(r) = 41*r**2 + 24*r - 17. Let j(x) be the third derivative of -x**5/3 - x**4/2 + 4*x**3/3 + 6*x**2. Let a(k) = -9*j(k) - 4*o(k). Factor a(s).
4*(s + 1)*(4*s - 1)
Suppose 27*d - 4 = 25*d. Let v be -5*48/200*(-5)/d. Find i, given that 1 - 4*i**4 + 3*i**2 + 21/2*i**5 + 11/2*i - 16*i**v = 0.
-1, -1/3, -2/7, 1
Let l(t) be the second derivative of 5/36*t**3 + 1/72*t**4 + 0*t**2 + 21*t + 0. Factor l(f).
f*(f + 5)/6
Let v(m) be the third derivative of -m**6/120 + m**5/15 + m**3/6 + 9*m**2. Let s be v(2). Factor s*r**2 - 24*r - 8*r - 13*r**2 - 64.
-4*(r + 4)**2
Let t = -5509 - -27549/5. Let 2*l**3 - t*l + 0 - 6/5*l**2 = 0. Calculate l.
-2/5, 0, 1
Let p(r) be the second derivative of 0 + 10*r**2 - 43*r + 5/2*r**3 - 5/12*r**4. Suppose p(f) = 0. What is f?
-1, 4
Suppose -50/19*b - 36/19 + 52/19*b**3 - 2/19*b**5 + 12/19*b**4 + 24/19*b**2 = 0. Calculate b.
-2, -1, 1, 9
Let y(g) be the first derivative of -g**4/22 - 38*g**3/33 - 50*g**2/11 - 64*g/11 - 199. Let y(j) = 0. What is j?
-16, -2, -1
Let g = 28899/2 + -14437. Solve 10 + g*q + 5/2*q**2 = 0 for q.
-4, -1
Let r = 11 - 9. Let z be r/6*0 + 3. Find y such that 0*y + 2*y**2 - 19*y**3 + 3*y**4 + 3*y + 16*y**z - 5*y**2 = 0.
-1, 0, 1
Suppose 4*f = -3*d + 4*d - 12, 3*f + 45 = 3*d. Suppose 10*y**2 + d*y**4 + 13*y**3 - 28*y**3 - 5*y**5 - 10*y**3 + 4*y**4 = 0. What is y?
0, 1, 2
Factor 67 - 2 + 227 - 604*h + 4*h**2 + 23 + 285.
4*(h - 150)*(h - 1)
Let i(l) be the first derivative of 3*l**5/35 - 3*l**4/7 - 7. Factor i(g).
3*g**3*(g - 4)/7
Let x(j) be the first derivative of -3*j**4/28 + 3*j**3/7 + 27*j**2/14 - 81*j/7 - 75. Factor x(s).
-3*(s - 3)**2*(s + 3)/7
Let o = -74 - -79. Suppose -o*r = 0, m = -r - 2*r + 2. Factor 0 - 9/2*d**3 - 6*d**m + 3/2*d**5 + 3*d**4 + 6*d.
3*d*(d - 1)**2*(d + 2)**2/2
Suppose 3*r - 24 = -3*v, r = 3*r - 8. Let m(g) be the fir