 y + 5, 2*w + 1 = 5*y - 2*y. Let b be (1/1 - (-5 - 4))/w. Factor -b - 2/5*a**2 - 4*a.
-2*(a + 5)**2/5
Let l(w) = w**2 + 290*w + 11227. Let c be l(-46). Factor 3/5*u**2 + 0 - 3/5*u**c + 0*u.
-3*u**2*(u - 1)/5
Let k(i) be the third derivative of 62*i**2 + 0*i**4 + 0*i + 1/448*i**8 + 1/168*i**7 - 1/120*i**6 - 1/60*i**5 + 0 + 0*i**3. What is d in k(d) = 0?
-2, -2/3, 0, 1
Let a(n) = -22*n**2 + 88*n + 2044. Let o(z) = -15*z**2 + 58*z + 1366. Let m(h) = -7*a(h) + 10*o(h). Let m(t) = 0. What is t?
-9, 18
Let h(t) be the second derivative of 78*t + 0 + 7/18*t**3 + 2/3*t**2 - 2/15*t**5 + 1/126*t**7 - 1/45*t**6 - 1/18*t**4. Factor h(a).
(a - 4)*(a - 1)*(a + 1)**3/3
Suppose -4*v + 1273*x = 1270*x + 22, -5*x + 46 = -2*v. Determine d so that -9/2*d + 4 + 1/2*d**v = 0.
1, 8
Factor 18*l - 5*l**3 + 38*l**2 + 57*l**2 - 79*l - 3600 - 59*l.
-5*(l - 12)**2*(l + 5)
Let a(l) be the first derivative of -101 - 4/3*l**3 + 38*l**2 + 80*l. Factor a(c).
-4*(c - 20)*(c + 1)
Find f such that -457*f**2 - 735*f**2 - 4*f**3 - 161600*f + 163782 - 420*f**2 - 566 = 0.
-202, 1
Let w(h) be the second derivative of h**7/210 - h**6/15 - 9*h**5/25 - 19*h**4/30 - 13*h**3/30 + 2780*h. Factor w(c).
c*(c - 13)*(c + 1)**3/5
Suppose -20*w - 46 = 10*w - 7*w. Let s(f) = 4*f**2 - 2*f. Let q = 7 - 10. Let p(r) = -4*r**2 + r. Let n(j) = q*s(j) + w*p(j). Factor n(l).
-4*l*(l - 1)
Let o(i) be the second derivative of -i**5/100 + 5*i**4/4 - 141*i**3/10 + 621*i**2/10 - 8*i - 20. Solve o(q) = 0.
3, 69
Let n(c) be the first derivative of 13 - 3/5*c**5 + 3/2*c**4 - 3*c + 2*c**3 - 1/2*c**6 - 3/2*c**2. Find m, given that n(m) = 0.
-1, 1
Let n(o) = 192*o**2 - 218*o - 44. Let v(w) = w**2 - 3*w - 3. Let p(z) = -2*n(z) + 28*v(z). Factor p(t).
-4*(t - 1)*(89*t + 1)
Let -113 + 20*v**2 - 103 + 210 - 7*v - 15*v**5 + 22*v**3 - 14*v**4 = 0. What is v?
-1, -3/5, 2/3, 1
Let d(r) be the third derivative of 7/12*r**5 - 25/12*r**4 + 0*r + 1/840*r**7 + 0*r**3 + 0 - 23*r**2 - 11/240*r**6. Determine i so that d(i) = 0.
0, 2, 10
Suppose 77*b - 80*b + 12 = 0. Suppose -2*a - 12 = -a + 3*f, 0 = 3*a + f - b. Determine p, given that -8/17*p**a + 0*p + 8/17*p**4 - 2/17*p**5 + 0*p**2 + 0 = 0.
0, 2
Let d(o) be the first derivative of 1/3*o**3 - 2*o - 1/2*o**2 - 57. Determine r so that d(r) = 0.
-1, 2
Let s = -142 + 206. Let f(j) = -j**2 - 6*j - 3. Let z be f(-4). Find q, given that 96*q**2 - s*q + 2*q**3 - 4*q**3 - 2*q**3 + 3*q**z - 24*q**4 - 7*q**5 = 0.
-4, 0, 1
Let v(b) be the second derivative of -b**6/60 + b**5/4 + 251*b**4/24 + 89*b**3 + 207*b**2 - 1571*b. Suppose v(s) = 0. What is s?
-6, -1, 23
Let i(g) be the second derivative of -5*g**7/21 - 14*g**6/15 + 3*g**5/5 + 26*g**4/3 + 55*g**3/3 + 18*g**2 - 119*g + 6. Determine m, given that i(m) = 0.
-9/5, -1, 2
Let w(t) = -t**2 + 5*t + 29. Let o be w(8). Determine y, given that -10*y**4 - 921 + 7*y**3 - 16*y + 929 + 12*y**3 + 2*y**o + 2*y**2 - 5*y**3 = 0.
-1, 1, 2
Let d(c) be the first derivative of -2*c**3/3 + 27*c**2 + 248*c - 1126. Factor d(l).
-2*(l - 31)*(l + 4)
Determine z so that 74 + 2/5*z**2 + 84/5*z = 0.
-37, -5
Solve 374340*q - 29360/9*q**3 - 6727106/9*q**2 - 32/9*q**4 - 46818 = 0.
-459, 1/4
Suppose -23*a + 32*a = 10053. Let j = 1117 - a. Find d, given that -2/5*d + j - 2/5*d**2 = 0.
-1, 0
Suppose 12 = 6*q - y, -3 = 5*q + 13*y - 16*y. What is l in -10/3*l**q + 215/3*l**2 - 110/3 + 115/3*l = 0?
-1, 1/2, 22
Suppose 103 = 20*d + 63. Let f(s) be the first derivative of -1/8*s**4 + 1/3*s**d + 0*s + 1/30*s**5 + 0*s**3 - 3. Determine q so that f(q) = 0.
-1, 0, 2
Let d(n) = -n**2 - n - 2. Let u(b) be the second derivative of b**4/2 - 45*b**3 + 2314*b**2 + 9*b - 3. Let p(m) = -2*d(m) - u(m). Find l, given that p(l) = 0.
34
Let t = 2661 + -13299/5. Let h(p) be the first derivative of -t*p**5 + 0*p + 21 - 5/2*p**4 - 2/3*p**3 + 0*p**2 + 3*p**6. Factor h(d).
2*d**2*(d - 1)*(3*d + 1)**2
Let o = -9/457 + 21247/1055670. Let a(h) be the third derivative of o*h**7 + 1/220*h**5 + 0*h + 14*h**2 + 0 + 0*h**3 + 1/440*h**6 + 1/264*h**4. Factor a(x).
x*(x + 1)**3/11
Let x(o) be the second derivative of 3*o**5/40 - 119*o**4/8 + 59*o**3/2 + 4149*o. Factor x(s).
3*s*(s - 118)*(s - 1)/2
Let c(q) be the first derivative of -25*q**6/24 + 69*q**5/2 + 235*q**4/2 - 180*q**3 - 890*q**2 - 600*q + 2695. Let c(g) = 0. What is g?
-2, -2/5, 2, 30
Solve -3/4*c**4 + 1/4 - 3/4*c + 1/2*c**2 + 1/4*c**5 + 1/2*c**3 = 0.
-1, 1
Let l be (2 - 205/105)*61054/3738. Suppose -8*q - 92/3*q**2 - 86/9*q**3 + 0 - l*q**4 = 0. What is q?
-6, -2/7, 0
Let h = -11701 + 105313/9. Factor 200/9*d + 2500/9 + h*d**2.
4*(d + 25)**2/9
Suppose 12*o - 56 + 66 = 58. Determine t, given that -8*t + 2/5*t**3 - 16/5 - 28/5*t**2 + 8/5*t**o + 2/5*t**5 = 0.
-2, -1, 2
Let f(l) be the second derivative of 9*l**2 + 10*l - 5/2*l**3 + 7/24*l**4 - 1/80*l**5 - 6. Factor f(k).
-(k - 6)**2*(k - 2)/4
Let -1/4*t**3 - 19/4*t**2 + 0 - 22*t = 0. What is t?
-11, -8, 0
Let y(x) be the third derivative of -x**8/672 - 17*x**7/420 - 9*x**6/40 - 11*x**5/60 + 55*x**4/48 + 13*x**3/4 + 696*x**2. Determine o so that y(o) = 0.
-13, -3, -1, 1
Let i(n) = -n**3 + 42*n**2 + 88*n + 2. Let h be i(44). Suppose h*t - g = -0 + 11, -2*g = 4*t - 10. Factor -8/5 - 8/5*z - 2/5*z**t + 4/5*z**3 + 6/5*z**2.
-2*(z - 2)**2*(z + 1)**2/5
Let f(n) be the second derivative of -722*n**2 + 1/5*n**5 - 13*n**4 + 64*n + 266*n**3 + 0. Factor f(t).
4*(t - 19)**2*(t - 1)
Let n = -139/20 + 433/60. Let h(g) be the second derivative of -n*g**3 - 9*g - 1/50*g**5 + 0*g**2 + 0 + 1/6*g**4. Factor h(r).
-2*r*(r - 4)*(r - 1)/5
Let v(m) be the third derivative of -m**7/11340 + m**6/90 - 73*m**4/24 + 3*m**2. Let q(f) be the second derivative of v(f). Factor q(h).
-2*h*(h - 36)/9
Let t(o) be the third derivative of 2*o**3 - 2/15*o**6 + 0*o + 0 - 2/15*o**5 - 2/105*o**7 + 2/3*o**4 + 11*o**2. Factor t(g).
-4*(g - 1)*(g + 1)**2*(g + 3)
Let t(x) be the second derivative of -x**4/12 + 11*x**3/3 + 24*x**2 - 596*x + 1. Solve t(w) = 0 for w.
-2, 24
Let a(p) = -p**3 + 16*p**2 - 26*p + 28. Let o(u) = -u**3 + 15*u**2 - 26*u + 36. Let l(y) = -3*a(y) + 4*o(y). Let s be l(10). Factor w**2 + 0 + s*w - 1/2*w**3.
-w**2*(w - 2)/2
Suppose -260 + 32 = -4*w. Let v = w - 25. Factor 3*l**2 - 3*l**3 + v - 32.
-3*l**2*(l - 1)
Let o be (4/(-26))/(64/(-520)). Let s(f) be the second derivative of -5/6*f**3 + 0 - o*f**5 - 10/3*f**4 + 5*f**2 - 9*f. Determine w, given that s(w) = 0.
-1, 2/5
Let g(s) be the second derivative of s**7/294 + 103*s**6/35 + 96097*s**5/140 + 2266*s**4 + 6776*s**3/3 + 973*s. Solve g(n) = 0 for n.
-308, -1, 0
Let 413/3*f**2 - 1/3*f**4 - 1029*f - 3*f**3 + 6860/3 = 0. Calculate f.
-28, 5, 7
Let k(u) be the second derivative of -u**4/6 + 124*u**3/3 - 123*u**2 - 413*u. Find o, given that k(o) = 0.
1, 123
Let g(j) = -j**2 - 45*j - 40. Suppose 3*i + 4*u - 22 = -18, -2*i = 3*u - 2. Let x(y) = y**2 + 44*y + 40. Let w(r) = i*x(r) + 3*g(r). Factor w(h).
(h + 1)*(h + 40)
Let c(x) = -45*x**2 + 2195*x - 6420. Let z(u) = -2*u**2 + 2*u. Let m(h) = -c(h) + 20*z(h). Let m(a) = 0. What is a?
3, 428
Let o(a) be the first derivative of -36 - 13/2*a + 7/2*a**2 - 1/6*a**3. Factor o(p).
-(p - 13)*(p - 1)/2
Let l be 19 + -17 + 3 + 36/(-18). Let -3/5*p**5 - 93/5*p**l + 39/5*p**4 + 588/5 - 303/5*p**2 + 84*p = 0. What is p?
-2, -1, 2, 7
Let r = -838 - -841. Let v(s) be the first derivative of 16/5*s - 4/15*s**r + 1/10*s**4 + 23 - 4/5*s**2. Solve v(l) = 0.
-2, 2
Let d(r) be the first derivative of -6/25*r**5 - 3/5*r**4 + 0*r + 8/5*r**3 + 0*r**2 + 1/10*r**6 - 136. Factor d(x).
3*x**2*(x - 2)**2*(x + 2)/5
Suppose -3*x = -0*x - 6. Let j(w) be the first derivative of -1 - 13*w + 49*w**3 + 43*w**2 + 40*w + 20*w**x. Factor j(n).
3*(7*n + 3)**2
Let a(p) be the second derivative of p**4/12 - 55*p**3/6 - 57*p**2 - 1137*p. Factor a(h).
(h - 57)*(h + 2)
Let j(z) be the third derivative of z**5/600 + 53*z**4/24 + 14045*z**3/12 - 49*z**2 + 4*z. Factor j(t).
(t + 265)**2/10
Determine r so that -4/7*r**5 + 11320352/7*r**2 + 351180800/7 + 133541120/7*r - 259108/7*r**3 + 1784/7*r**4 = 0.
-5, 152
Let t(s) be the third derivative of 0*s**3 + 0*s + 0 + 11/48*s**4 + 27*s**2 + 1/120*s**5. Factor t(m).
m*(m + 11)/2
Let s be 3 + 57/13 - (-182)/(-26). Let h(a) be the first derivative of -8/13*a - s*a**2 + 9 - 2/39*a**3. Let h(i) = 0. What is i?
-4, -1
Let d = 218 - 