r m(d).
2*(d - 4)*(d - 1)*(d + 1)
Let x(t) = 37*t + 300. Let u be x(-8). Let a(b) be the third derivative of -u*b**3 + 0*b + 0 - 1/320*b**6 + 5*b**2 - 3/40*b**5 - 3/4*b**4. Solve a(p) = 0 for p.
-4
Let m(j) = -8*j - 4. Let u be m(-2). Let d be (u/(-30))/(1/(-40)). Factor -16*g**5 - 14*g**4 + 6*g**5 - 4*g**2 - 4*g + 14*g**5 + d*g**3 + 2.
2*(g - 1)**4*(2*g + 1)
Let o(g) be the second derivative of g**5/50 + 23*g**4/30 + 43*g**3/15 + 21*g**2/5 - 39*g. Let o(l) = 0. Calculate l.
-21, -1
Let d be (1 + -1)/(11/22*-10 + 8). Factor d*f + 0 + 0*f**2 + 4/17*f**3 - 2/17*f**4.
-2*f**3*(f - 2)/17
Let h(a) be the second derivative of -a**8/2240 + a**7/140 - 4*a**5/5 - 5*a**4/6 - 34*a. Let o(u) be the third derivative of h(u). Find x, given that o(x) = 0.
-2, 4
Let y(p) be the first derivative of p**5 + 10*p**4 - 5*p**3 - 55*p**2 + 80*p + 477. Determine j so that y(j) = 0.
-8, -2, 1
Let d(s) = -5*s**3 + 163*s**2 - 157*s - 194. Let h(o) = -o**3 + 27*o**2 - 26*o - 32. Let u(c) = -6*d(c) + 39*h(c). Factor u(k).
-3*(k - 7)*(k - 2)*(3*k + 2)
Let c(r) = 7*r**2 + 33*r + 30. Let l(f) = -60 + 192*f - 15*f**2 + 210*f - 467*f. Let j(h) = 5*c(h) + 2*l(h). Find g such that j(g) = 0.
-6, -1
Let s be (-16)/72 + 80/36. Suppose -4*v = 3*v. Factor 0*a - 2*a**s - 5/2*a**4 + 1/2*a**5 + v + 4*a**3.
a**2*(a - 2)**2*(a - 1)/2
Let z(l) be the first derivative of l**4/4 + l**3 - 2*l**2 - 12*l - 60. Suppose z(t) = 0. Calculate t.
-3, -2, 2
Let v(l) be the first derivative of -3*l**5/20 - 9*l**4/2 - 59*l**3/2 + 117*l**2 - 507*l/4 - 176. Factor v(i).
-3*(i - 1)**2*(i + 13)**2/4
Let p = -35 - -29. Let o be ((-34)/p)/(2/12). Solve 6*a + o + 0*a**2 - 3*a**2 - 37 = 0.
1
Let k = -23 - -23. Suppose 2*m - 3*m + 2 = k. Factor 3/2*l**m + 0 + l + 1/2*l**3.
l*(l + 1)*(l + 2)/2
Factor -6 + 129*o**2 + 202*o + 8*o**2 - 69*o**2.
2*(o + 3)*(34*o - 1)
Suppose -o = 24 - 66. Let h = -40 + o. Suppose -1/3*s**h + 1/3 + 0*s = 0. Calculate s.
-1, 1
Let k be 10/35*(-1623)/(-6)*2. Let r = k + -154. Factor 32/7*p**3 + 0 + 2*p**4 + r*p + 22/7*p**2.
2*p*(p + 1)**2*(7*p + 2)/7
Let n(t) = 435*t**2 + 2100*t + 615. Let h(u) = 74*u + 16*u**2 + 15*u**2 + 4*u + 72*u + 44. Let d(k) = 55*h(k) - 4*n(k). Find x such that d(x) = 0.
-4, -2/7
Let f(g) be the third derivative of -g**5/30 + g**4/4 - 2*g**3/3 - g**2 + 6*g. Solve f(r) = 0.
1, 2
Factor -264*b**3 - 5130*b**2 - 8*b**4 + 4*b**4 + 264*b + 778*b**2 + 4356.
-4*(b - 1)*(b + 1)*(b + 33)**2
Let n(w) be the first derivative of w**6/6 + 11*w**5/5 - 25*w**4/4 + 13*w**3/3 - 74. Factor n(f).
f**2*(f - 1)**2*(f + 13)
Let d(k) = -k**4 - 3*k**3 + k**2 + k + 1. Let c(x) = 16*x**4 - 62*x**3 - 146*x**2 - 36*x + 29. Let m(i) = c(i) + d(i). Let m(n) = 0. What is n?
-1, 1/3, 6
Suppose 6*v = 7*v - 4. Let r(q) be the first derivative of 3/14*q**2 - 1/7*q**3 + v + 3/7*q - 3/28*q**4. Find n, given that r(n) = 0.
-1, 1
Let g(w) be the second derivative of -w**7/2940 - w**6/360 - w**5/210 + 5*w**4/6 - 9*w. Let z(k) be the third derivative of g(k). Suppose z(j) = 0. What is j?
-2, -1/3
Suppose -485*c**2 + 28 - 315 - 79*c**3 - 5*c**4 - 720*c - 33 - 11*c**3 = 0. What is c?
-8, -1
Let h(g) be the first derivative of g**4/36 - 4*g**3/27 + g**2/18 + 2*g/3 + 105. Solve h(i) = 0.
-1, 2, 3
Let t(w) = -30*w**4 - 2*w**3 + 136*w**2 + 32*w + 8. Let h(k) = -k**4 + 3*k**3 + k**2 + k + 1. Let f(l) = -8*h(l) + t(l). Let f(o) = 0. What is o?
-3, -2/11, 0, 2
Let y(k) be the first derivative of -k**6/15 + 16*k**5/25 - 2*k**4 + 32*k**3/15 + 35. Let y(h) = 0. What is h?
0, 2, 4
Let j(f) be the third derivative of -f**7/735 + f**6/35 - f**5/10 + 5*f**4/42 + 784*f**2. Let j(s) = 0. What is s?
0, 1, 10
Let j(g) be the third derivative of g**5/30 + 13*g**4 + 2028*g**3 + 132*g**2 - g. Factor j(f).
2*(f + 78)**2
Let -8*i**3 + 2185*i**2 - 2*i**3 - 2210*i**2 = 0. Calculate i.
-5/2, 0
Factor -2/13*s**3 + 0 + 2/13*s**2 + 4/13*s.
-2*s*(s - 2)*(s + 1)/13
Let v(u) be the second derivative of 0*u**2 - 1/4*u**4 + 0 + 1/2*u**3 - 29*u. What is m in v(m) = 0?
0, 1
Factor 115*n**2 + 4*n**3 - 147*n**2 - 4*n**4 + 20*n**3.
-4*n**2*(n - 4)*(n - 2)
Let c(t) = 10*t - 2*t**2 + 0*t**2 - 4*t - 5 + 3. Let l(f) = -3*f**2 + 6*f - 3. Let x(j) = -6*c(j) + 5*l(j). Solve x(h) = 0.
-1
Let w = 35 + -30. Suppose 5*q**2 + w*q**3 - 2309*q + 2309*q - 5*q**5 - 5*q**4 = 0. What is q?
-1, 0, 1
Determine h, given that 81/5*h**5 + 553/5*h**3 + 92/5*h - 358/5*h**2 - 72*h**4 - 8/5 = 0.
2/9, 1, 2
Factor 19*i**4 + 80*i**3 + 160*i**2 + 74 - 26 + i**4 + 16 + 160*i + 2*i**5.
2*(i + 2)**5
Let t(w) be the first derivative of 0*w**4 + 0*w**3 - 3/20*w**5 + 0*w + 10 + 0*w**2. Find q such that t(q) = 0.
0
Let p(u) be the first derivative of u**7/630 + u**6/90 + u**5/60 - 6*u**2 - 17. Let n(q) be the second derivative of p(q). What is a in n(a) = 0?
-3, -1, 0
Let w = 126/47 + -536/235. Factor w*y**2 + 10 + 4*y.
2*(y + 5)**2/5
Let m(g) be the first derivative of -g**6/120 + g**5/80 + g**4/24 - g - 13. Let o(x) be the first derivative of m(x). Factor o(u).
-u**2*(u - 2)*(u + 1)/4
Let v be (-26)/(-3*((-185)/(-45) + -4)). Let k = v - 76. Let 10 + 5/2*h**k + 10*h = 0. Calculate h.
-2
Let n(c) be the second derivative of 0 + 3*c**2 + 7/30*c**6 - 13/12*c**4 - 19/6*c**3 + 19/20*c**5 + 6*c. Determine l, given that n(l) = 0.
-3, -1, 2/7, 1
Factor -147*d + 211*d**3 - 216*d**3 + 1 - 1 - 60*d**2 - 33*d.
-5*d*(d + 6)**2
Let d = -3 + 7. Let s = 2/7807 + 1147619/39035. Factor 72/5*f**2 + 0 - 63/5*f**3 - s*f**d - 12/5*f.
-3*f*(f + 1)*(7*f - 2)**2/5
Suppose -8*b - 7 = -127. Let 2*y**3 - 7*y**3 + 9*y + 11*y - b*y**2 = 0. Calculate y.
-4, 0, 1
Let z be (4/50)/(7/350*10). Factor -4/5*m + 2/5*m**3 + 0 - z*m**2.
2*m*(m - 2)*(m + 1)/5
Let g(y) be the third derivative of -1/100*y**5 + 0 - 4*y**2 - 1/24*y**4 + 0*y - 1/15*y**3. Factor g(s).
-(s + 1)*(3*s + 2)/5
Factor 161 + 155 + 153 + 50*p + 5*p**2 - 389.
5*(p + 2)*(p + 8)
Let w be 5/3 + 4/12. Suppose a**4 + 2*a**3 + 0*a**4 - w*a**3 + 3*a**3 - 2 + a**2 - 3*a = 0. What is a?
-2, -1, 1
Let v(c) = -c**3 + 4*c**2 + 6*c - 3. Let l be v(5). Suppose 17 = l*g + 11. Solve 8/13 - 16/13*i - 4/13*i**g - 42/13*i**2 + 14/13*i**4 = 0 for i.
-1, 2/7, 2
Let q(d) be the third derivative of -d**6/40 - 19*d**5/5 - 73*d**4/8 + 75*d**3 - 657*d**2. Factor q(g).
-3*(g - 1)*(g + 2)*(g + 75)
Factor 12 + 105*x**3 + x**2 - 24*x - 4*x**2 - 99*x**3.
3*(x - 2)*(x + 2)*(2*x - 1)
Let y = 5 + -18. Let b = y + 15. Factor -3*o**b + 1 + 3 + 0 - o**2.
-4*(o - 1)*(o + 1)
Let r(k) = -4*k**2 + 4*k + 8. Let g(s) = 2*s**2 - 2*s - 4. Let o(z) = 14*g(z) + 6*r(z). Determine v, given that o(v) = 0.
-1, 2
Let a = 1 + 4. Suppose 17 = 5*i - 4*i + a*g, -12 = -4*g. Factor 0 + 1/3*q + 5/6*q**i.
q*(5*q + 2)/6
Factor 3 - 106*p + 2809/3*p**2.
(53*p - 3)**2/3
Let a be (-33)/(-4) + 3/(-12). Let z be (-4)/a*-10*1. Factor 2/7*v**3 + 0*v + 0*v**4 + 0*v**2 + 0 - 2/7*v**z.
-2*v**3*(v - 1)*(v + 1)/7
Let n(g) = -g - 9. Let i be n(-5). Let x be i/(-14)*(-280)/(-50). Factor 2/5*c**2 + 6/5 - x*c.
2*(c - 3)*(c - 1)/5
Let q = -331 - -338. Let n(z) be the first derivative of 3/5*z + 0*z**4 - q - 2/5*z**3 + 0*z**2 + 3/25*z**5. Factor n(p).
3*(p - 1)**2*(p + 1)**2/5
Let m(i) be the first derivative of -1/3*i**3 + 1/10*i**5 + 1/4*i**4 - 1/12*i**6 - 1/4*i**2 - 5 + 1/2*i. Factor m(l).
-(l - 1)**3*(l + 1)**2/2
Suppose x + 0*x + 3*v + 10 = 0, 0 = 3*x - 5*v - 26. Find h, given that -3*h - h + 3*h**2 - 7*h**x = 0.
-1, 0
Let s(d) be the first derivative of d**7/280 - d**6/40 + 3*d**5/40 - d**4/8 - d**3 - 27. Let p(n) be the third derivative of s(n). Factor p(o).
3*(o - 1)**3
Suppose 0 = -7*r - 0 - 7. Let m(u) = u**3 + u**2 - u + 1. Let j(y) = -6*y**3 - 34*y**2 - 146*y - 254. Let w(n) = r*j(n) - 4*m(n). Factor w(f).
2*(f + 5)**3
Let v be (52/39)/((-1)/9*-2). Suppose -v*z + 10 = -z. Determine u so that -6/11*u**z + 8/11*u**3 - 8/11*u - 2/11 + 8/11*u**4 = 0.
-1, -1/2, 1
Let a be (-2)/(-3) + 0 - (88 - 88). Solve -2/3*p + a*p**5 + 0*p**3 - 4/3*p**2 + 4/3*p**4 + 0 = 0 for p.
-1, 0, 1
Find j, given that -2*j - 20*j**2 + 7*j**3 + 51*j**2 - 21*j**2 - 15*j**2 = 0.
-2/7, 0, 1
Suppose 0 = -4*z + 5*c - 3 - 10, -4*c + 20 = 0. Determine j so that j**4 - 19 + j**2 - z*j - 23 + 3*j**3 + 40 = 0.
-2, -1, 1
Let q(s) be the second derivative of -2*s**6/75 + 7*s**5/25 - 6*s**4/5 + 8*s**3/3 - 16*s**2/5 + 132*s. Factor q(a).
-4*(a - 2)**3*(a - 1)/