 = -61 - -53. Let q be 6/t*(240/63)/(-5). Factor -4/7*m**3 - 2/7*m**2 + 0 + q*m + 2/7*m**4.
2*m*(m - 2)*(m - 1)*(m + 1)/7
Let g(k) be the first derivative of k**6/33 + 12*k**5/55 + 6*k**4/11 + 16*k**3/33 - 59. Factor g(p).
2*p**2*(p + 2)**3/11
Let m(a) be the second derivative of -3/4*a**5 + 3*a + 1/6*a**6 + 0*a**2 + 5/42*a**7 + 0 - 5/12*a**4 + 5/3*a**3. Factor m(r).
5*r*(r - 1)**2*(r + 1)*(r + 2)
Let r(h) be the first derivative of -h**8/84 + 2*h**7/105 + h**6/15 - 21*h**2/2 - 14. Let v(a) be the second derivative of r(a). Factor v(w).
-4*w**3*(w - 2)*(w + 1)
Suppose 41 + 753*b**2 - 4*b**3 + 80*b - 137 - 761*b**2 = 0. Calculate b.
-6, 2
Let i be ((-9)/6)/((8/(-16))/1). Let b(v) be the third derivative of 0 - v**3 - i*v**2 + 0*v + 3/8*v**4 + 1/10*v**5. Factor b(h).
3*(h + 2)*(2*h - 1)
Let k(b) be the third derivative of -b**7/70 - b**6/4 + b**5/20 + 5*b**4/4 - 33*b**2. Let k(p) = 0. What is p?
-10, -1, 0, 1
Factor 2/5*g**3 + 2/5*g + g**2 + 0.
g*(g + 2)*(2*g + 1)/5
Let d(s) be the first derivative of -2*s**3/27 - 8*s**2 - 142*s/9 + 7. Let d(m) = 0. Calculate m.
-71, -1
Let f(y) = -5*y**3 - 10*y**2 - 9*y - 16. Let n be f(-2). Find j, given that 2/5*j - 1/5 - 1/5*j**n = 0.
1
Let w = 14511 - 14509. Let 8/7 + 2/7*r**w + 8/7*r = 0. What is r?
-2
Let a = -2867 - -3123. Let -8192/3 - a*p**2 - 64/3*p**3 - 2/3*p**4 - 4096/3*p = 0. Calculate p.
-8
Let v(j) be the second derivative of -5*j**4/54 + 43*j**3/27 + 2*j**2 - 12*j - 2. Solve v(x) = 0 for x.
-2/5, 9
Let o be -1 - (-4 - -24)/4. Let b(j) = j. Let f(t) = t**3 - 9*t + 2. Let z be -1 - 1 - (-1)/1. Let l(c) = o*b(c) + z*f(c). What is p in l(p) = 0?
-2, 1
Let t(u) be the third derivative of -u**6/240 + u**5/120 + 5*u**4/48 + u**3/4 - 2*u**2 + 19. Suppose t(r) = 0. Calculate r.
-1, 3
Let a(r) = r**3 - 2*r**2 + 4*r + 1. Let s = -5 - -8. Let k be a(s). Factor 7*f + 11*f + 1 + 8*f**4 - k*f**2 - 5.
2*(f - 1)*(f + 2)*(2*f - 1)**2
Let n(i) be the first derivative of i**3/3 + 16*i**2 + 31*i - 34. Find f, given that n(f) = 0.
-31, -1
Let v = 6 + -4. Let m be ((-14)/28)/(v/(-20)). Factor j**4 + 5*j**3 - 3*j**4 + 2*j**2 - 2*j**m - 3*j**3.
-2*j**2*(j - 1)*(j + 1)**2
Let x(f) be the second derivative of -f**5/100 - 37*f**4/60 - 71*f**3/30 - 7*f**2/2 - 14*f - 5. What is g in x(g) = 0?
-35, -1
Let z(d) = -5*d**2 + 18*d + 29. Let v(x) = -6*x**2 + 19*x + 28. Let y(r) = -6*v(r) + 7*z(r). Let p be y(-5). Let 0 + p*w + 0*w**2 + 2/3*w**3 = 0. What is w?
0
Determine y so that -2/7*y**5 + 20/7*y**4 - 40/7*y**2 - 50/7*y**3 + 160/7*y + 128/7 = 0.
-1, 4
Suppose -90 = 11*y - 6*y. Let b be (-6)/(-21)*y/(-4). Solve 3/7*g**2 + b*g + 6/7 = 0 for g.
-2, -1
Determine k, given that 40/17*k - 2/17*k**4 + 24/17 - 4/17*k**3 + 14/17*k**2 = 0.
-2, -1, 3
Let y(x) = -2*x**5 - x**4 + 4*x**3 + 24*x**2 + 21*x - 5. Let j(b) = 3*b**5 + b**4 - 6*b**3 - 36*b**2 - 32*b + 8. Let v(a) = 5*j(a) + 8*y(a). Factor v(l).
-l*(l - 2)*(l + 1)*(l + 2)**2
Let b(c) be the second derivative of c**7/63 + 2*c**6/15 + 4*c**5/15 - c**4/9 - c**3 - 4*c**2/3 - 35*c. Factor b(r).
2*(r - 1)*(r + 1)**3*(r + 4)/3
Factor 5*s + 11 - 23/4*s**2 + 1/4*s**3.
(s - 22)*(s - 2)*(s + 1)/4
Let t = 59 - 54. Let j be t/(70/72) + -4. What is p in -2/7*p**4 - j*p**3 - 8/7*p**2 + 0*p + 0 = 0?
-2, 0
Determine x so that 24/7*x + 2/7*x**3 + 0 - 16/7*x**2 = 0.
0, 2, 6
Find k such that 1296 - 9*k + 4*k**2 + 23*k - 158*k = 0.
18
Factor 0 + 3/5*u**2 + 4/5*u - 1/5*u**3.
-u*(u - 4)*(u + 1)/5
Let k = -9371/100 - -379/4. Let l = k + -36/275. Suppose l*i**4 - 6/11*i**3 + 0 - 4/11*i**2 + 0*i = 0. What is i?
-2/5, 0, 1
Let h(q) be the first derivative of -q**6/6 + 33*q**5/35 - 9*q**4/14 - 8*q**3/21 - 177. Suppose h(m) = 0. What is m?
-2/7, 0, 1, 4
Let w(u) be the first derivative of -7*u**6/36 + u**5/15 + 242. Factor w(c).
-c**4*(7*c - 2)/6
Solve -9/4*x**2 - 3/4 + 3/4*x**3 + 9/4*x = 0 for x.
1
Let a(l) = 4*l**2 - 23*l. Let v(o) = -5*o**2 + 25*o. Let i(n) = 6*a(n) + 5*v(n). Determine y, given that i(y) = 0.
-13, 0
Factor -22*a**3 + 49*a**3 - 12*a**3 - 3*a**4 - 45*a - 6*a**3 - 54 + 21*a**2.
-3*(a - 3)**2*(a + 1)*(a + 2)
Let q(c) be the first derivative of 2*c**2 + 0*c + 1/32*c**4 - 3 - 1/24*c**3 - 1/80*c**5 + 1/480*c**6. Let r(d) be the second derivative of q(d). Factor r(j).
(j - 1)**3/4
Let h(k) be the second derivative of -5/3*k**3 + 0*k**2 + 0 - 5*k + 1/90*k**5 - 1/24*k**4 - 1/1080*k**6. Let m(u) be the second derivative of h(u). Factor m(b).
-(b - 3)*(b - 1)/3
Let h(p) = -2*p**2 + 2*p + 9. Let m(z) = -z**2 - z - 1. Let g(w) = -h(w) - 5*m(w). Let f(l) = l**2 - 1. Let s(j) = -4*f(j) + g(j). Suppose s(o) = 0. What is o?
-1, 0
Let i(b) = -10*b**4 + 48*b**3 - 14*b**2 - 2. Let o(y) = 21*y**4 - 95*y**3 + 29*y**2 + 5. Let p(m) = -5*i(m) - 2*o(m). Solve p(t) = 0.
0, 1/4, 6
Let r(l) be the third derivative of 20*l**5/3 - 5*l**4 + 3*l**3/2 - 115*l**2. Factor r(m).
(20*m - 3)**2
Let m(l) be the third derivative of -5*l**5/72 - 65*l**4/72 - 169*l**3/36 - 71*l**2. Suppose m(r) = 0. What is r?
-13/5
Let i(b) be the second derivative of b**6/120 + b**5/30 - b**4/8 - 33*b**2/2 + 59*b. Let n(h) be the first derivative of i(h). Factor n(j).
j*(j - 1)*(j + 3)
Let t be 4 - 0/(1 + 4). Find o such that t*o + 5*o**4 - 4*o + 3*o - 5*o**2 - 7*o + o**5 + 3*o**3 = 0.
-4, -1, 0, 1
Let c(g) = g**3 - 13*g**2 - 13*g - 4. Let p be c(14). Factor 2*u**2 - 9*u + p*u - 7*u.
2*u*(u - 3)
Let k(h) be the first derivative of -4/5*h**5 - 8*h**4 - 28*h**3 - 44*h**2 - 32*h - 29. Solve k(l) = 0.
-4, -2, -1
Let k(h) be the first derivative of -4*h - 2/5*h**3 - 17/5*h**2 + 6. Find b such that k(b) = 0.
-5, -2/3
Let q(p) be the third derivative of -p**7/210 - p**6/18 - p**5/10 + 3*p**4/2 + 3*p**3/2 - 6*p**2. Let b(m) be the first derivative of q(m). Factor b(d).
-4*(d - 1)*(d + 3)**2
Factor 14 - 1/3*z**2 + 19/3*z.
-(z - 21)*(z + 2)/3
Let k(n) = -n**3 - n + 2. Let g be k(0). Let 4*b**4 - 64*b**2 - 18*b**5 - 26*b**3 + 36*b**4 + 68*b**g = 0. What is b?
0, 2/9, 1
Factor 35/6*w + 1/6*w**2 - 37/3.
(w - 2)*(w + 37)/6
Let l(m) be the third derivative of -m**7/175 - 37*m**6/300 - 21*m**5/50 + 73*m**4/60 + 2*m**3 - m**2 + 96*m. Let l(f) = 0. Calculate f.
-10, -3, -1/3, 1
Let p(r) be the third derivative of r**5/150 + 7*r**4/15 + 196*r**3/15 - 8*r**2 + 5. Factor p(t).
2*(t + 14)**2/5
Let l(c) be the second derivative of c**6/24 - 5*c**5/8 - 235*c**4/48 + 75*c**3 + 810*c**2 - 124*c + 1. Find w such that l(w) = 0.
-4, 9
Let l = 13/4 - 35/12. Let d = -47/3 + 16. Solve -l*q**3 - q - q**2 - d = 0 for q.
-1
Factor -121*c + 71*c - 5*c**2 + c**2 + 58*c - 4.
-4*(c - 1)**2
Suppose -101 - 44 + 17 + 2*p**2 + 24*p = 0. What is p?
-16, 4
Let w(a) = 7*a + 290. Let b be w(-41). Let p(h) be the first derivative of 0*h**2 + 10/3*h**b + 0*h + 3 + h**5 - 15/4*h**4. Factor p(g).
5*g**2*(g - 2)*(g - 1)
Let c(y) be the third derivative of -y**6/66 + 97*y**5/330 - 16*y**4/33 + 3*y**3/11 + 24*y**2 - 4*y. Let c(w) = 0. Calculate w.
1/5, 1/2, 9
Let i(k) = 11*k**4 + 11*k**3 - 11*k**2 - 3*k. Let z(l) = -3 - 4*l**4 + 2*l + 4*l**2 - l - 4*l**3 + 3. Let p(b) = 3*i(b) + 8*z(b). Solve p(f) = 0 for f.
-1, 0, 1
Let g = 1211506/58245 + -2/11649. Let h = -130314/5 + 26066. Suppose -g*b + h + 28/5*b**4 - 134/5*b**3 + 204/5*b**2 = 0. What is b?
2/7, 1/2, 2
Let k(w) be the first derivative of w**6/270 - w**5/90 - 4*w**3 + 9. Let i(y) be the third derivative of k(y). Factor i(s).
4*s*(s - 1)/3
Factor -3/2*i**5 - 15/2*i**2 + 3*i + 9/2*i**3 + 3/2*i**4 + 0.
-3*i*(i - 1)**3*(i + 2)/2
Let r(g) be the third derivative of -g**6/360 - g**5/180 + g**4/6 - 2*g**2 + 3*g. Find i such that r(i) = 0.
-4, 0, 3
Let j(r) = -2*r**2 + 1. Let s(k) = -23*k**2 - 44*k - 473. Let c(p) = -44*j(p) + 4*s(p). Factor c(h).
-4*(h + 22)**2
Let w(f) be the third derivative of -1/7*f**7 + 0*f + 5/6*f**4 + 13/24*f**6 - f**5 + 0*f**3 + 6*f**2 + 0 + 5/336*f**8. Determine s, given that w(s) = 0.
0, 1, 2
Suppose -2*o - 4 = -20*j + 17*j, -5*o - 5*j + 40 = 0. Let p be 44/48 + o/(-6). Find z, given that -z**3 + p*z**4 + 5/4*z**2 - 1/2*z + 0 = 0.
0, 1, 2
Let f(t) be the third derivative of t**6/180 + 17*t**5/30 + 289*t**4/12 + 4913*t**3/9 + 10*t**2 - 2*t. Solve f(c) = 0 for c.
-17
Suppose 3*r = 4*r - 4*s - 14, r + 2*s - 2 = 0. Suppose -3*n + r*n + 2*d = 20, d = -4*n + 20. Factor -11*f**3 - n*f**2 - 9/2*f**5 - 12*f**4 + 0 - 1/2*f.
-f*(f +