 + k - 5/4*q**b.
-5*q*(q - 3)/4
Let k be 69/21 + (-2)/7. Suppose 75*z - 188*z + 59 = -167. Find y, given that 1/4*y**k + 3*y - 3/2*y**2 - z = 0.
2
Let s = -98 + 152. Let z = s - 269/5. Find i, given that 2/5*i**4 - 1/5 + z*i + 3/5*i**2 - i**3 = 0.
-1/2, 1
Let y be (-8)/2 - 10*4/20. Let q be (-4)/y*2/8. Factor q*l**2 + l + 3/2.
(l + 3)**2/6
Let i be 110/(-15)*(-30)/4. Let a be i/20 - (-2)/8. Suppose -6/7*v**2 - 2/7*v - 6/7*v**a + 0 - 2/7*v**4 = 0. What is v?
-1, 0
Solve 4 + 72 + 64*o + 15*o**2 + 90*o + 24 + 6*o = 0 for o.
-10, -2/3
Let g(c) be the first derivative of 1/18*c**4 - 1/3*c**2 - 3*c + 1/30*c**5 - 1/9*c**3 + 2. Let i(o) be the first derivative of g(o). Find b such that i(b) = 0.
-1, 1
Let m(h) be the first derivative of h**3/3 + 17*h**2/8 + h + 49. Factor m(y).
(y + 4)*(4*y + 1)/4
Let z(a) be the second derivative of 13*a + 1/12*a**4 - 5/4*a**2 + 0 - 3/4*a**3. Suppose z(h) = 0. What is h?
-1/2, 5
Let q(a) be the second derivative of a**8/1560 + a**7/455 - a**6/585 + 5*a**3/2 + 14*a. Let z(p) be the second derivative of q(p). Factor z(w).
2*w**2*(w + 2)*(7*w - 2)/13
Let p be ((-13)/(351/(-36)))/5. Suppose p*w**2 - 2/15*w + 14/15*w**3 + 0 + 8/15*w**4 = 0. What is w?
-1, 0, 1/4
Let m(y) be the second derivative of 0 + 4*y**2 - 9/5*y**5 + 8*y + 8*y**4 - 26/3*y**3. Factor m(i).
-4*(i - 2)*(3*i - 1)**2
Let b(q) be the third derivative of q**5/150 - 13*q**4/30 - 9*q**3/5 + 222*q**2. Solve b(k) = 0 for k.
-1, 27
Let a(s) be the second derivative of -2*s**5/5 + 17*s**4/3 - 22*s**3 + 36*s**2 - 3*s - 38. Suppose a(z) = 0. What is z?
1, 3/2, 6
Let y(f) = 2*f**5 + 0 + 5*f**2 + f**4 - 3*f**5 + 3 - 5*f**3. Let v(g) = 329 - 4*g**3 + 2*g**2 - 327 + 2*g**2. Let x(i) = 3*v(i) - 2*y(i). What is l in x(l) = 0?
-1, 0, 1
Determine w, given that -2*w**2 + 6*w - 2746 + 5590 - 2484 = 0.
-12, 15
Suppose 3*x - h = 17, -2*h + 0*h + 8 = x. Factor -2 + x*m**3 + 48*m - 4*m**4 + 8*m**2 - 21*m**3 - 34 - m**3.
-4*(m - 1)**2*(m + 3)**2
Let j = -32 - -36. Factor 445*h - 445*h - 4*h**j + 4*h**2.
-4*h**2*(h - 1)*(h + 1)
Let i(b) = -2*b**2 + 2*b. Suppose -2*t + 5*p = -t + 17, 0 = -3*t - p + 13. Let x(n) = n**3 - 3*n**2 + 2*n. Let a(m) = t*i(m) - 2*x(m). Factor a(s).
-2*s*(s - 1)*(s + 1)
Let w(f) = -271*f + 5149. Let c be w(19). Determine y so that 0*y + 0 - 10/9*y**4 + 2/9*y**5 + c*y**2 + 4/3*y**3 = 0.
0, 2, 3
Solve -10*v - 300/7 + 8/7*v**2 + 2/7*v**3 = 0.
-5, 6
Let i = -1672 - -1674. Determine m so that 2*m + 2/3*m**i - 2*m**3 - 2/3 = 0.
-1, 1/3, 1
Suppose 0 = -40*h + 32*h - 50*h. Let j(c) be the third derivative of h + 2/525*c**7 + 0*c + 0*c**5 + 0*c**3 + 0*c**6 - 5*c**2 + 0*c**4. Factor j(k).
4*k**4/5
Let x(h) be the second derivative of 3/4*h**3 + 0 + 3/20*h**5 + 17*h + 9/16*h**4 + 3/8*h**2. Factor x(d).
3*(d + 1)**2*(4*d + 1)/4
Let t(g) = 10*g**3 - 3*g**2 + 3. Let w be t(2). Let h = w + -48. Suppose 56 + 3*n**4 - 8 - n**2 - h*n**2 = 0. What is n?
-2, 2
Let p(b) be the first derivative of 11/9*b**3 - 1/5*b**5 - 2*b**2 + 4/3*b + 1/18*b**6 - 1/12*b**4 + 4. Factor p(x).
(x - 2)*(x - 1)**3*(x + 2)/3
Let j(w) be the first derivative of w**4/8 - 2*w**3/3 - 3*w**2 + 364. Factor j(g).
g*(g - 6)*(g + 2)/2
Determine z so that 32/3*z**2 + 0*z + 0 + 2/3*z**4 + 20/3*z**3 = 0.
-8, -2, 0
Let p(b) = -b**3 - 4*b**2 - 3*b. Let v be p(-3). Let r(n) be the second derivative of 0*n**3 + v - 1/6*n**4 + n**2 - 2*n. Factor r(z).
-2*(z - 1)*(z + 1)
Suppose -67 + 19 = -4*c. Let t be -5 + 2/c*50. Factor -25/6*h**2 - 2/3 + t*h.
-(5*h - 2)**2/6
Suppose 7*x - 3*x = 12. Factor -3*j**4 + j**x + j**3 - 14*j**3 - 9*j**2.
-3*j**2*(j + 1)*(j + 3)
Let n(u) be the second derivative of -u**8/5040 + u**7/378 - 17*u**4/12 - 2*u + 17. Let g(q) be the third derivative of n(q). Factor g(d).
-4*d**2*(d - 5)/3
Let d(y) be the third derivative of 0*y**4 + 0*y + 12*y**2 - 1/15*y**5 + 0 + 0*y**3 + 1/30*y**6. Find r such that d(r) = 0.
0, 1
Let h(r) = r**2 - 93*r + 833. Let m be h(10). Factor -3/2*z**2 + 3/2*z**4 + 3/4*z**5 - 3/4*z + 0*z**m + 0.
3*z*(z - 1)*(z + 1)**3/4
Suppose 16 = 2*n - 0*i - 4*i, 4 = -i. Let u be (-6)/(-8) - (-6 - -6). Factor n*b - u + 3/4*b**2.
3*(b - 1)*(b + 1)/4
Let p(l) be the first derivative of -7/24*l**6 + 5 - 17/40*l**5 + 0*l + 1/12*l**3 + 0*l**2 - 1/32*l**4. Solve p(z) = 0 for z.
-1, -1/2, 0, 2/7
Let d = -2729 - -2733. Let j(r) be the first derivative of -d*r + 2*r**4 + 2/3*r**6 + 11 - 6*r**2 - 8/3*r**3 + 12/5*r**5. Determine u, given that j(u) = 0.
-1, 1
Let m(k) be the second derivative of -k**5/4 + 70*k**4 - 7840*k**3 + 439040*k**2 - 90*k + 1. Let m(y) = 0. What is y?
56
Let m(g) be the third derivative of -g**8/12600 + g**7/2100 - g**5/225 + 4*g**3/3 - 10*g**2. Let y(t) be the first derivative of m(t). Factor y(b).
-2*b*(b - 2)**2*(b + 1)/15
Let o be 30/150 + ((-8)/(-10) - 1). Let k be o/(20/(-4)) - 4/(-9). Factor -8/9*w**3 + 2/9 - 14/9*w**2 - k*w.
-2*(w + 1)**2*(4*w - 1)/9
Factor -1/2*m**2 - 338 + 26*m.
-(m - 26)**2/2
Let b(f) be the second derivative of -f**4/36 + f**3/2 - 7*f**2/3 + 2*f - 2. Let b(j) = 0. What is j?
2, 7
Solve 3639*g + 88*g**3 - 1849 + 145*g - 1196*g**2 + 787*g**2 - g**4 - 1613*g**2 = 0.
1, 43
Suppose -6*d**2 - 3*d + 5*d**4 + 19*d - 6*d + d**2 - 10*d**3 = 0. What is d?
-1, 0, 1, 2
Let b(a) be the third derivative of 0*a**4 - 5*a**2 + 0 - 1/50*a**5 + 0*a - 1/200*a**6 + 0*a**3. Suppose b(h) = 0. Calculate h.
-2, 0
Let k be ((-182)/21*-1)/((-2)/(-3)). Suppose -k*i + 54 - 2 = 0. Find a such that 49/4*a**5 + 145/4*a**2 + 235/4*a**3 + 175/4*a**i + 10*a + 1 = 0.
-1, -2/7
Suppose -2*b + 5*r = -14, -10 = -b - b + 3*r. Suppose -5 = -5*d - k, -3*d + d = -b*k + 10. Factor 1/4*s**4 + 0 + 1/2*s**3 + 1/4*s**2 + d*s.
s**2*(s + 1)**2/4
Let k be 1903/15 + (-2)/(-15). Let u = k + -123. Suppose -4/5*r - 16/5*r**2 - 24/5*r**3 - 4/5*r**5 - 16/5*r**u + 0 = 0. What is r?
-1, 0
Let k(w) be the first derivative of 3*w**5/25 + 39*w**4/5 + 814*w**3/5 + 5382*w**2/5 + 14283*w/5 - 183. Let k(d) = 0. What is d?
-23, -3
Solve 14*p - 27*p**2 - 62*p - 61*p - 72 + 7*p + 3*p**3 = 0 for p.
-2, -1, 12
Let v = -27904 + 195340/7. Factor -v*s - 2 + 2/7*s**2.
2*(s - 7)*(s + 1)/7
Let v = -162 + 162. Let f be (-398)/(-40) + v + 11/(-55). Suppose -3/2*i - 33/4*i**3 - f*i**2 + 0 = 0. What is i?
-1, -2/11, 0
Let v = -21196/2865 + -1/573. Let y = v - -343/45. Factor -8/9*c + y - 2/9*c**2 + 8/9*c**3.
2*(c - 1)*(c + 1)*(4*c - 1)/9
Let h = -15 + 19. Suppose 0 = h*o - 2*t - 49 - 55, -4*o = -t - 100. Factor -2*s**5 + 4*s**4 - 22*s**3 - 3*s**3 - 10*s**2 - o*s**4 - 3*s**5.
-5*s**2*(s + 1)**2*(s + 2)
Let x = 33914/71995 - 2/4235. Factor x*t**3 + 0*t - 2/17*t**4 + 0 - 6/17*t**2.
-2*t**2*(t - 3)*(t - 1)/17
Let j(r) = -10 - 12 - 14*r + 17*r. Let l be j(9). Factor -2*x**4 + x + 5*x**2 - x**5 + 2*x**2 - l*x**2 + 0*x**5.
-x*(x - 1)*(x + 1)**3
Let p = 71 + -73. Let a be 4 - (-10)/p - -1. Factor 1/2*b**3 - 1/2*b + a*b**2 + 0.
b*(b - 1)*(b + 1)/2
Let y(q) be the third derivative of -q**8/50400 + q**7/1260 - q**6/72 - 17*q**5/60 + 9*q**2. Let m(o) be the third derivative of y(o). Solve m(n) = 0.
5
Suppose 109 - 147 = -19*m. Suppose -24/19*d + 0*d**m + 2/19*d**3 + 32/19 = 0. Calculate d.
-4, 2
Let u(l) be the second derivative of -1/6*l**4 - l**2 - 18*l + 0 - 2/3*l**3. Factor u(v).
-2*(v + 1)**2
Let s(w) be the second derivative of 32*w - 1/3*w**4 - 1/3*w**3 + 1/30*w**6 + 0*w**2 - 3/40*w**5 + 1/84*w**7 + 0. Suppose s(n) = 0. What is n?
-2, -1, 0, 2
Let n(m) be the first derivative of 6 + 0*m**2 - 1/18*m**4 - 2/27*m**3 + 0*m. Factor n(u).
-2*u**2*(u + 1)/9
Let f = 1335 - 8009/6. Factor -1/6*j**4 + f*j**2 + 1/6*j - 1/6*j**3 + 0.
-j*(j - 1)*(j + 1)**2/6
Let y(k) be the second derivative of k**5/10 - k**4 - 7*k**3/3 - 191*k. Factor y(r).
2*r*(r - 7)*(r + 1)
Let a(w) = 4*w - 15. Let l be a(0). Let j be l/(-10) + ((-45)/(-6))/(-5). What is s in j + 0*s**2 + 2/7*s**3 + 0*s = 0?
0
Let a be 28/5 + 4/10. Suppose u = -u + a. Find d such that 3*d**2 + 51*d**2 - 24 + u*d**3 - 12*d**2 + 9*d**4 + 36*d**3 - 12*d = 0.
-2, -1, 2/3
Let j(t) be the third derivative of -t**6/160 + t**5/80 + t**4/2 + 5*t**3/2 - 49*t**2. Suppose j(r) = 0. What is r?
-2, 5
Let g(s) = -23*s - 3. Let o be g(10). Let y = 3033/13 + o. Factor 2/13*n - y + 2/13*n**2.
2*(n - 1)*(n + 2)/13
Suppose 9*g - 55 + 28 = 0. Let -164*o - g*o**3 + 3*o**2 + 386*o - 186*o = 0. Calculate o