he first derivative of -w**6/120 + w**5/10 - w**4/2 + 11*w**3 - 37. Let k(p) be the third derivative of f(p). Factor k(o).
-3*(o - 2)**2
Factor 118/11*l**2 + 0*l + 0 - 2/11*l**3.
-2*l**2*(l - 59)/11
Suppose -76 = 11*u - 30*u. Let f(l) be the third derivative of -u*l**2 + 0*l**4 + 0*l + 0*l**3 - 1/150*l**5 + 0. Let f(r) = 0. What is r?
0
Let n(w) be the second derivative of w**5/30 + w**4/18 - 4*w**3/9 - 4*w**2/3 + 3*w + 154. Factor n(c).
2*(c - 2)*(c + 1)*(c + 2)/3
Suppose -5*s = 4*d - 14, -s + 2 = 2*d - 2. Factor -h**3 - 2*h**2 + 5*h**s - 2*h**2 + 2*h.
-h*(h - 2)*(h + 1)
Let i(g) = -3*g**2 - 2*g - 1. Let p(c) = 7*c**2 + 4*c + 2. Let z = 30 + -24. Let u(w) = z*p(w) + 15*i(w). Factor u(r).
-3*(r + 1)**2
Let k(q) be the third derivative of -q**6/30 - 2*q**5/15 - q**4/6 + 79*q**2. Suppose k(y) = 0. What is y?
-1, 0
Let q be (6 - 13) + 18 + -8. Let -1/4*j - j**4 + 1/4 - 9/4*j**2 - 11/4*j**q = 0. Calculate j.
-1, 1/4
Suppose -31*y = 21*y - 104. Let c(m) be the first derivative of -6 + 2/21*m**3 + 1/7*m**y + 0*m. Factor c(v).
2*v*(v + 1)/7
Let v be 1*-9*6/(-18) - 3. Suppose d + 3*k = 28 - 24, v = 2*k. Factor 3/4*z**3 + 0*z - 1/4*z**d - 1/2*z**2 + 0.
-z**2*(z - 2)*(z - 1)/4
Let g = 17845/20811 + -1/2973. Let -4/7 + g*w**4 + 22/7*w**2 - 22/7*w**3 - 2/7*w = 0. What is w?
-1/3, 1, 2
Suppose 0 + 12/7*t**5 + 6/7*t - 34/7*t**2 + 62/7*t**3 - 46/7*t**4 = 0. What is t?
0, 1/3, 1, 3/2
Let c(o) be the third derivative of -o**7/840 + o**6/96 + 7*o**5/80 + 23*o**4/96 + o**3/3 - 2*o**2 - 24*o. Factor c(a).
-(a - 8)*(a + 1)**3/4
Let s(t) = -5*t**2 + 7*t + 6. Let j be s(2). Let w(g) be the third derivative of -3*g**2 - 1/84*g**4 + j + 2/105*g**5 - 1/105*g**6 + 0*g + 0*g**3. Factor w(o).
-2*o*(2*o - 1)**2/7
Let h = 392 + -392. Let r(f) be the second derivative of 0 + h*f**4 - 4/27*f**3 - 7*f + 0*f**2 + 1/90*f**5. Determine b, given that r(b) = 0.
-2, 0, 2
Suppose 3*h + 0*i + 19 = -4*i, -3*h + 3*i - 33 = 0. Let q be 11/4 + h/12. Let 0*v**q + 3*v**2 - 3*v**3 + 6*v - 18*v - 15*v**2 = 0. What is v?
-2, 0
Let x(o) = -12*o**2 + 32*o - 108. Let r(m) = -3*m**2 + 8*m - 27. Let h(q) = -18*r(q) + 4*x(q). Let s(c) = c**2 + c + 1. Let t(p) = -h(p) + 4*s(p). Factor t(f).
-2*(f - 5)**2
Suppose 26 = 2*o - 142. Determine a so that 4*a**2 - o*a**4 + 80*a**4 + 0*a - 4*a + 4*a**3 = 0.
-1, 0, 1
Let f(r) be the first derivative of -r**6/180 + r**5/20 - 11*r**3/3 - 23. Let d(y) be the third derivative of f(y). Let d(i) = 0. Calculate i.
0, 3
Let c(o) = 3*o**2 - 9*o + 42. Let n(l) = 8*l**2 - 26*l + 125. Let q(z) = -17*c(z) + 6*n(z). Suppose q(f) = 0. Calculate f.
-4, 3
Let m = 890 - 39163/44. Let t = m - -9/11. Factor -1/4*z**2 - t - z.
-(z + 1)*(z + 3)/4
Let c = -490 - -851. Find t, given that c - 251 + 5*t**2 + 735 + 130*t = 0.
-13
Let k(i) = -i**2 - i - 14. Let t be k(0). Let y = t - -17. Factor 5*w - y + 3*w**2 + 3 + 3 + w.
3*(w + 1)**2
Let m be -14 - (-29 - (-3 + -10)). Factor 8/5 - m*d**3 - 8/5*d - 26/5*d**2.
-2*(d + 1)*(d + 2)*(5*d - 2)/5
Suppose -5*j - 7 = 4*k - 26, -4*k = -3*j + 5. Let r(h) = h**4 + h**2 + h. Let t(v) = -6*v**4 - 3*v. Let c(l) = k*t(l) + 3*r(l). Factor c(p).
-3*p**2*(p - 1)*(p + 1)
Let c = 80 + -75. Suppose 0 = c*b - 3*m - 28, 0*m + 5*m = -b. Factor 1/5*h + 2/5*h**4 - 1/5*h**b + 0 - 2/5*h**2 + 0*h**3.
-h*(h - 1)**3*(h + 1)/5
Let g(a) be the first derivative of a**4/36 - 8*a**3/27 + 10*a**2/9 - 16*a/9 - 90. Let g(c) = 0. What is c?
2, 4
Determine x, given that -7/2 - 4*x - 1/2*x**2 = 0.
-7, -1
Suppose 11*y - 10*y - 20 = 0. Let o = y + -16. Factor -4*z**3 + 3*z**3 + 6*z**5 - o*z**4 - z**3.
2*z**3*(z - 1)*(3*z + 1)
Suppose 0 = 2*v + 12*v. What is l in -3/5*l**4 + v*l**3 + 3/5*l**2 + 0*l + 0 = 0?
-1, 0, 1
Suppose -6*c + 36 = -0*c. Let w(f) be the second derivative of 0*f**4 - 3/100*f**5 + 0*f**3 + 0*f**2 - 1/25*f**c - 1/70*f**7 + 0 + 2*f. Factor w(x).
-3*x**3*(x + 1)**2/5
Let i be ((-14244)/42)/(-2) + -1. Let f = i + -168. Factor -192/7*c - f*c**3 + 256/7 + 48/7*c**2.
-4*(c - 4)**3/7
Let r be (-43)/9 - (0 + (-6)/(-27)). Let s(w) = -w. Let t(m) = -m**4 - 4*m**3 - 6*m**2 - 9*m - 1. Let z(f) = r*s(f) + t(f). Factor z(k).
-(k + 1)**4
Let p(r) be the third derivative of r**8/5880 - r**7/2940 - 3*r**3 - 7*r**2. Let z(t) be the first derivative of p(t). Factor z(d).
2*d**3*(d - 1)/7
Let d = 1883/4695 - 1/939. Factor -1/5 + d*g - 2/5*g**3 + 0*g**2 + 1/5*g**4.
(g - 1)**3*(g + 1)/5
Let r(y) be the third derivative of y**7/5040 + y**6/720 + y**5/360 - 5*y**3/3 + 12*y**2. Let v(g) be the first derivative of r(g). Factor v(k).
k*(k + 1)*(k + 2)/6
Let j = 1536/55 - 294/11. Let u = -41 + 41. Factor -3*v**2 + u - j*v.
-3*v*(5*v + 2)/5
Let m be 2 + 37 + 0 + 0. Suppose 0*l**2 - 34*l + 2 - l**2 + 3*l**2 + m*l = 0. Calculate l.
-2, -1/2
Factor -26 + 3*h**4 + 26 + 3*h - 12*h**2 - 6*h**3 + 21*h.
3*h*(h - 2)**2*(h + 2)
Suppose 0 = -g + 4*h - 14, -5*h + 7 = g - 15. Let k be 16/(-8) + 1/(g/19). Factor 3/2*d**5 - 3/2 - 15*d**2 + k*d - 15/2*d**4 + 15*d**3.
3*(d - 1)**5/2
Suppose -18 = 8*n - 18. Let j(a) be the second derivative of a + 1/27*a**3 - 2/9*a**2 + 1/54*a**4 + n. Solve j(p) = 0 for p.
-2, 1
Let y(z) = -z**3 - 5*z**2 + 5*z - 6. Let i be y(-6). Suppose 0 = -4*a - 3*n + 20 + 7, 2*a - n - 11 = i. Factor 6*m**3 - a + 6 - 2*m**3 - 8*m**2.
4*m**2*(m - 2)
Let r(n) be the third derivative of 0*n**4 - 1/60*n**5 + 0*n - 14*n**2 + 0 + 1/12*n**3 + 0*n**6 + 1/420*n**7. Factor r(v).
(v - 1)**2*(v + 1)**2/2
Let 6/11*w**3 + 0*w - 2/11*w**4 + 0*w**2 + 0 = 0. Calculate w.
0, 3
Factor -4*v - 2*v**2 + 31*v + 21*v + 6*v + 5*v**2 - v**3.
-v*(v - 9)*(v + 6)
Let m be (4/(-2) - -7) + 4/(-10). Let j = m + -22/5. Suppose 0*q - j*q**2 + 0 = 0. Calculate q.
0
Let p(y) be the third derivative of -y**5/28 - 377*y**4/168 - 25*y**3/21 - 865*y**2. Determine j, given that p(j) = 0.
-25, -2/15
Suppose 37 = 2*o - 17. Suppose 12*j**2 - o*j**2 - 2*j**3 + 15*j**2 + 2*j**4 = 0. What is j?
0, 1
Let c(h) be the second derivative of -50*h**7/21 - 47*h**6/6 - 19*h**5/20 + 89*h**4/12 - 25*h**3/6 + h**2 + 130*h. Determine d so that c(d) = 0.
-2, -1, 1/5, 1/4
Let u(d) = -9*d**2 - d + 4. Let p(m) = 5*m**2 + m - 2. Let a(l) = -7*p(l) - 4*u(l). Let c(z) = -12*z**2 + 39*z + 27. Let o(f) = 27*a(f) + 2*c(f). Factor o(v).
3*v*(v - 1)
Let y(f) be the first derivative of -f**6/960 - f**5/64 - f**4/16 + f**3 - 4. Let p(m) be the third derivative of y(m). Determine g so that p(g) = 0.
-4, -1
Factor 0 + 24/5*v + 12/5*v**3 + 44/5*v**2.
4*v*(v + 3)*(3*v + 2)/5
Let g = 183 - 195. Let k = 27/2 + g. Factor 3 - 9/2*c**2 + k*c**4 + 3/2*c**3 - 3/2*c.
3*(c - 1)**2*(c + 1)*(c + 2)/2
Let w be -1 + -23 + (-10)/(-4) + -3. Let s = -21 - w. Find q, given that 5/2*q**2 + 3/2*q**4 - s*q**3 + 0 - 1/2*q = 0.
0, 1/3, 1
Suppose 4*r + j = 3, -5*r + 977 - 992 = 5*j. Determine l, given that -2/19*l - 18/19*l**3 + 0 - 12/19*l**r = 0.
-1/3, 0
Let l(o) be the first derivative of -4*o - 5/2*o**2 - 44 - 1/4*o**4 + 11/6*o**3. Determine t so that l(t) = 0.
-1/2, 2, 4
Let g(k) be the first derivative of -2*k**5/5 - 9*k**4/2 - 4*k**3 + 16*k**2 - 517. Find x, given that g(x) = 0.
-8, -2, 0, 1
Suppose -2*k + 20 = 4*y, 16 - 1 = -5*y. Suppose -4*x - 4*a + 48 = 0, -2*a = -5*a - 12. Determine c so that x*c + 4*c**2 + 0*c + k + 0*c**2 = 0.
-2
Let p(n) be the first derivative of 2*n**3/27 + 4*n**2/3 + 6*n - 11. Let p(x) = 0. Calculate x.
-9, -3
Determine u so that 15376 - 53*u + 6*u**2 - 184*u - 8*u**2 + 3*u**2 - 11*u = 0.
124
Let x be (-1)/(-8)*-10*-12. Let p be 6/(-4) + x/10. Factor -12 - 12*b + 2*b**2 - 5*b**2 + p*b**2.
-3*(b + 2)**2
Let z = 147/38 + -431/190. Suppose -2/5 - 2/5*m**4 - 12/5*m**2 + z*m + 8/5*m**3 = 0. Calculate m.
1
Let f(c) = 4901*c - 29403. Let b be f(6). Let 7/2*z**b + 5/2*z**2 - z + 0 = 0. Calculate z.
-1, 0, 2/7
Find x, given that 0 - 9/5*x - 12/5*x**2 + 6/5*x**3 + 3/5*x**5 + 12/5*x**4 = 0.
-3, -1, 0, 1
Let o(d) = 3*d**2 + 7*d. Let w(r) = 35*r**2 + 85*r. Let y(c) = -c**3 - 6*c**2 - c + 3. Let v be y(-4). Let g(i) = v*o(i) + 2*w(i). Factor g(l).
-5*l*(l + 1)
Let k(q) be the third derivative of -q**6/30 - 2*q**5/5 - 5*q**4/6 - 252*q**2. Factor k(t).
-4*t*(t + 1)*(t + 5)
Let t(i) = i**3 + i**2 + i - 1. Let r(k) = -k**3 - 4*k**2 + 12*k - 5. Let n be -6*2/((4 - 1) + 3). Let h(y) = n*r(y) + 2*t(y). Let h(a) = 0. What is a?
-4, 1/2, 1
Let d(z) be the third derivati