 - 2*m**3 - 14*m**2 - 6*m**3 + 12*m**4 + 3307*m - 3297*m + 2*m**2 = 0?
-1, 0, 1, 5
Let j(g) be the first derivative of 4 + 3*g**2 - 1/6*g**4 + 0*g + 0*g**3 + 1/30*g**5. Let d(z) be the second derivative of j(z). Let d(t) = 0. Calculate t.
0, 2
Let r(x) be the second derivative of -x**8/168 + x**6/12 - x**4/3 + 17*x**2/2 + 24*x. Let j(u) be the first derivative of r(u). Solve j(q) = 0 for q.
-2, -1, 0, 1, 2
Let t(i) be the third derivative of i**6/120 - i**5/20 - i**4/6 + 5*i**2 + i. Find b such that t(b) = 0.
-1, 0, 4
Let t = 140 + -131. Suppose -k = -4*u + t, 2*u - k + 7 = 6*u. Find p, given that -u*p - 3*p**2 - 2*p**3 - 1/2 - 1/2*p**4 = 0.
-1
Let z(g) be the third derivative of -1/6*g**3 + 5/144*g**4 + 0 + 0*g + 45*g**2 + 1/360*g**5. Factor z(m).
(m - 1)*(m + 6)/6
Let m(s) = -s**4 - s**3 - s**2 - s. Let g(d) = -5*d**4 - 2*d**3 - 2*d**2 - 3*d. Let j(k) = g(k) - 3*m(k). Find a such that j(a) = 0.
-1/2, 0, 1
Let i(t) be the third derivative of t**7/350 - 11*t**6/200 + 9*t**5/100 + 11*t**4/40 - t**3 - 81*t**2. Determine m, given that i(m) = 0.
-1, 1, 10
Let f = -1/139 + 319/25020. Let q(c) be the third derivative of -1/36*c**4 - f*c**5 + 0*c - 1/18*c**3 - 5*c**2 + 0. Factor q(k).
-(k + 1)**2/3
Let k(u) = 9*u**3 + 28*u**2 + 4*u - 3. Let d(a) = 7*a**3 + 29*a**2 + 2*a - 4. Let o(p) = 3*d(p) - 4*k(p). Determine y, given that o(y) = 0.
-1, -2/3, 0
Let x = 7288/10923 + -2/3641. Let j be ((-6)/(-54))/((-2)/(-4)). Let -x*a - 4/9 - j*a**2 = 0. Calculate a.
-2, -1
Let z(b) be the first derivative of 0*b + 1/12*b**3 + 45 + 1/16*b**4 - 1/20*b**5 - 1/8*b**2. Factor z(g).
-g*(g - 1)**2*(g + 1)/4
Determine m so that 0 - 1/4*m**3 - 4*m + 17/4*m**2 = 0.
0, 1, 16
Let c = 22 - 22. Let b(l) = l + 7. Let y be b(-7). Determine a so that y + c*a - 1/3*a**2 = 0.
0
Let q(g) be the second derivative of -g**4/32 + 39*g**3/16 - 57*g**2/8 + 2*g - 41. Solve q(f) = 0 for f.
1, 38
Let n = 90 + -92. Let s be (-17)/(-15) - n/10. Suppose 4*w + s + 2*w**3 + 13/3*w**2 + 1/3*w**4 = 0. Calculate w.
-2, -1
Let b(o) be the third derivative of 0*o + 13/140*o**5 - 1/280*o**6 + 0 - 23/56*o**4 + 32*o**2 + 11/14*o**3. Determine t, given that b(t) = 0.
1, 11
Suppose 3/5 + 9/5*b**2 - 3/5*b**3 - 9/5*b = 0. What is b?
1
Let 8/3*t**3 + 4/9*t**4 + 4*t**2 + 0 + 16/9*t = 0. What is t?
-4, -1, 0
Let n(i) be the second derivative of 1/80*i**6 + 0*i**2 - 3*i + 0*i**4 + 0*i**3 + 3/80*i**5 + 0. Factor n(h).
3*h**3*(h + 2)/8
Let a(j) be the second derivative of j**7/5 + 64*j**6/75 + 43*j**5/50 - 2*j**4/15 - 4*j**3/15 + 490*j. Let a(v) = 0. What is v?
-2, -1, -1/3, 0, 2/7
Let j(v) be the first derivative of -v**6/180 + v**5/240 + 7*v**3 + 44. Let y(n) be the third derivative of j(n). What is u in y(u) = 0?
0, 1/4
Solve 3/5*b**4 + 294/5*b + 0*b**3 - 153/5*b**2 - 144/5 = 0.
-8, 1, 6
Let t be (0 - 0/6)*5/(-10). Suppose t*o**2 - 1/4*o**3 + 1/4*o + 0 = 0. Calculate o.
-1, 0, 1
Let j be (-3 + 1)/(-1)*(0/1 + 1). Let q = 7 - 3. What is m in 0 + 0*m**3 + 1/2*m**j + 0*m - 1/2*m**q = 0?
-1, 0, 1
Let i(x) be the first derivative of 1/15*x**5 + 1/3*x**2 - 18 - 4/9*x**3 + x - 1/6*x**4. Suppose i(l) = 0. What is l?
-1, 1, 3
Let h be (-5 + 3 - 0) + -3 + 5. Let z(f) be the second derivative of 0*f**3 + 0 - 1/10*f**6 + h*f**4 + 0*f**2 - 3/20*f**5 + 4*f. Factor z(c).
-3*c**3*(c + 1)
Let l = 421 + -34097/81. Let o = l - -73/162. Solve -1/2*w**4 + w**3 - 1/2 - 1/2*w - o*w**5 + w**2 = 0.
-1, 1
Let h be -3 - (2751/(-15) - 4/(-2)). Let p = 180 - h. Factor 6/5 - p*w + 2/5*w**2.
2*(w - 3)*(w - 1)/5
Let 10 + c**2 + 13 + 35*c + 1 - 10*c = 0. Calculate c.
-24, -1
What is f in -3/7*f**4 + 24/7*f**2 - 3/7*f**3 + 36/7*f + 0 = 0?
-2, 0, 3
Let i be 118/70 - (-21)/((-630)/12). What is z in -3/7*z**3 - 12/7*z**2 + 0 - i*z = 0?
-3, -1, 0
Let o be 30/1730*(-4)/3. Let w = o + 1404/865. Factor -2/5*u + w*u**2 + 0 + 8/5*u**4 - 2/5*u**5 - 12/5*u**3.
-2*u*(u - 1)**4/5
Let u(l) be the first derivative of -2*l**3/9 - 14*l**2 - 82*l/3 + 176. Suppose u(o) = 0. Calculate o.
-41, -1
Let m(o) = 16*o + 6*o**2 + 3*o**2 - 8*o**2 - 28. Let g(a) = 6*a - 9. Let f(u) = 8*g(u) - 3*m(u). Determine y so that f(y) = 0.
-2, 2
Suppose -7*s = -15*s + 96. Suppose -4*q + 18 = -2*v - s, q - v - 10 = 0. Factor 0*l**4 - 3/2*l**3 + 0*l + 1/2*l**q + l**2 + 0.
l**2*(l - 1)**2*(l + 2)/2
Let f be (-2)/6 - (4 - 11794/2280). Let x = f - 3/76. Find l, given that x*l**4 + 0*l - 2/5*l**3 + 0 + 0*l**2 - 2/5*l**5 = 0.
0, 1
Determine g so that 25*g**3 - 40 + g**2 + 0*g**4 - 20*g - 5*g**5 + 0*g**4 + 0*g**4 - 10*g**4 + 49*g**2 = 0.
-2, -1, 1, 2
Let w(f) be the second derivative of f**5/15 + f**4 + 3*f**2/2 - 24*f. Let z(q) be the first derivative of w(q). Factor z(v).
4*v*(v + 6)
Suppose 2*g + 25 = 7*g. Factor -30*p**2 - 5*p - 15*p**4 + g*p**2 - 2*p**3 - 33*p**3.
-5*p*(p + 1)**2*(3*p + 1)
Let b be -2*1/6 - (-103985)/(-165). Let c = -630 - b. Factor 10/11*w - 2/11*w**3 - 2/11*w**4 + c*w**2 + 4/11.
-2*(w - 2)*(w + 1)**3/11
Let x = 4 + -2. Let v(t) = -t**3 + 5*t**2 + 3. Let c be v(5). Factor r**4 + 3*r**5 - c*r**3 - 2*r**2 + 0*r**2 - r**x + 2*r**4.
3*r**2*(r - 1)*(r + 1)**2
Let i = -35 + 27. Let g be 141*i/(-420) + (-6)/21. Factor 2/5 + 2*z**2 - g*z.
2*(z - 1)*(5*z - 1)/5
Let o be 539/1547 - -1 - (-2)/(-17). Solve 8/13 - o*d + 4/13*d**3 - 2/13*d**4 + 6/13*d**2 = 0 for d.
-2, 1, 2
Let l(d) be the third derivative of -d**7/105 + d**5/15 - d**3/3 - 32*d**2 - 1. Find y such that l(y) = 0.
-1, 1
Suppose q - 4*b - 4 = 5*q, 4*q - b - 11 = 0. Let r(f) = -f + 7. Let k be r(5). Factor 4*w**k + 2*w**4 - q*w - 4*w**3 - 2/5*w**5 + 2/5.
-2*(w - 1)**5/5
Let j be 7/1 + -3 - (-48)/(-12). Factor 1/2*i**2 - 3/2*i + j.
i*(i - 3)/2
Suppose -17*n + 100 + 155 = 0. Let m be 624/210 + (-6)/n. Suppose 50/7 + m*s**2 + 60/7*s = 0. What is s?
-5/3
Let o(n) be the third derivative of -n**5/30 - 3*n**4/4 - 20*n**3/3 + 175*n**2. Factor o(t).
-2*(t + 4)*(t + 5)
Suppose 8*i + 3 - 3 = 7*i. Find y such that i*y - 1/4*y**2 + 0 + 1/8*y**5 - 3/8*y**3 + 0*y**4 = 0.
-1, 0, 2
Let d = -2/35 + 76/105. Find s, given that -1/6*s**2 + 2/3*s - d = 0.
2
Suppose -10*f - 60*f = -92 - 118. Determine z, given that 4*z**2 - 46/21*z**f - 16/21 + 8/21*z**4 - 40/21*z = 0.
-1/4, 2
Let h(g) be the first derivative of -7*g**5/15 + 4*g**4 - 70*g**3/9 + 4*g**2 + 5*g/3 - 320. Suppose h(y) = 0. What is y?
-1/7, 1, 5
Let b(a) be the first derivative of a**4/14 + 4*a**3/21 - 9*a**2/7 - 36*a/7 + 451. Find g, given that b(g) = 0.
-3, -2, 3
Factor -7*p + 6*p**2 + p**4 + 89 + 85 - p**5 + 8*p**3 - 7*p**4 - 174.
-p*(p - 1)**2*(p + 1)*(p + 7)
Suppose -g - 4*d = -25, 3*g + 5*d + 6 = 46. Factor 4/7*i**g + 4/7*i**4 + 0 + 0*i**3 + 0*i**2 + 0*i.
4*i**4*(i + 1)/7
Let o(i) = i**2 + 2*i + 2. Let d(h) = -34*h**3 + 50*h**2 + 20*h + 24. Let v(k) = d(k) - 12*o(k). Factor v(j).
-2*j*(j - 1)*(17*j - 2)
Let o(s) = 6*s**2 - 33*s - 108. Let f(r) = -r**2 + 3*r + 3. Let z(h) = -3*f(h) - o(h). Factor z(d).
-3*(d - 11)*(d + 3)
Let f = 13 - 12. Suppose 4*h + f = 17. Let -7*i**3 - 10*i**3 + h*i**2 + 19*i**3 + 2*i = 0. What is i?
-1, 0
Let d(k) be the first derivative of -9*k**4/14 - 50*k**3/21 - 23*k**2/7 - 2*k - 76. Factor d(f).
-2*(f + 1)**2*(9*f + 7)/7
Let w(a) be the third derivative of a**6/60 - 7*a**5/120 + a**4/24 + a**3/12 + 4*a**2 - 11*a. Factor w(y).
(y - 1)**2*(4*y + 1)/2
Suppose 5*u - 21 - 69 = 0. Suppose -w + u = w. Factor -9*c**2 - w*c**2 - 4*c**4 + 3*c**2 + c**4 - 6*c - 12*c**3.
-3*c*(c + 1)**2*(c + 2)
Let x = 26 - 23. Let -9*d + 15*d + 2*d**2 + 4*d**2 - 3*d**2 + x = 0. What is d?
-1
Let t(u) be the third derivative of u**7/840 + 5*u**6/6 + 250*u**5 + 125000*u**4/3 + 12500000*u**3/3 - u**2 - 36. Factor t(y).
(y + 100)**4/4
Let k = 47 - 43. Suppose -17 = -5*i - 2, -3*x + 27 = 5*i. Solve -1 - x*l**3 + 6*l + 9 - k + 2*l**3 = 0.
-1, 2
Let c be 15 - (170/15 + 3). What is j in -c*j**3 + 4/3*j**4 - 4/3*j**2 - 1/3*j**5 + 0 + j = 0?
-1, 0, 1, 3
Let o = 867/295 + -138/59. Factor -3/5*m**2 + 3/5 - 3/5*m**3 + o*m.
-3*(m - 1)*(m + 1)**2/5
Let l = -1/1172 + 2351/8204. Determine i so that l*i**4 + 18/7*i**2 - 2*i - 10/7*i**3 + 4/7 = 0.
1, 2
Suppose 5*j = -5*p - 10, 2*p + 0*p + 4 = 3*j. Suppose j = -45*y + 37*y + 16. Factor 4/5*x - 8/5 + 4/5*x**y.
4*(x - 1)*(x + 2)/5
Let d(r) = 33*r**2 - 3*r**2 + 149*r - 84*r + 45. Let k(a) = -a**3 - 30*a**2 - 64*a - 44. Let w(x) = -4*d(x) - 5*k(x