e first derivative of -4*t**5 + 5 - 4/3*t**6 + 4/3*t**3 + 0*t - 3*t**4 + 2*t**2. Factor s(f).
-4*f*(f + 1)**3*(2*f - 1)
Let u(w) be the third derivative of -w**7/735 - w**6/21 - 22*w**5/35 - 80*w**4/21 - 256*w**3/21 - 2*w**2 + 3. Factor u(l).
-2*(l + 2)**2*(l + 8)**2/7
Let s = 30535 + -30527. Let s*b**3 + 0 - 12/5*b - 18/5*b**4 + 46/5*b**2 = 0. What is b?
-1, 0, 2/9, 3
Suppose 0 = -10*d + 3 + 27. Factor -2*w**2 + 0*w**2 - 18*w**4 - 4*w**d - 8*w**3.
-2*w**2*(3*w + 1)**2
Let c(o) be the second derivative of o**6/210 - 11*o**5/140 - o**4/28 + 5*o**3/6 - 11*o**2/7 - 253*o. Suppose c(s) = 0. Calculate s.
-2, 1, 11
Let l(k) = 76*k**2 - 149*k + 29. Let h(u) = -39*u**2 + 75*u - 15. Let y(g) = -5*h(g) - 3*l(g). Factor y(s).
-3*(s - 2)*(11*s - 2)
Let x be 12*1*2/3. Let q(p) = 6*p - 8*p**2 + x*p + 3*p**3 - 2*p**2 - 7*p + 4. Let l(c) = 3*c**3 - 11*c**2 + 8*c + 5. Let m(v) = 4*l(v) - 5*q(v). Factor m(g).
-3*g*(g - 1)**2
Suppose -20*y - 162023 = -569623. Let v = y + -224028/11. Let -8/11 - v*p - 722/11*p**2 = 0. Calculate p.
-2/19
Let c(t) be the third derivative of -1/32*t**4 + 0*t + 1/48*t**5 + 36*t**2 + 0 - 3/8*t**3 - 1/480*t**6. Factor c(a).
-(a - 3)**2*(a + 1)/4
Let n(z) be the third derivative of -1/840*z**6 + 1/84*z**4 + 0 - 13/490*z**7 + 9/784*z**8 + 0*z**3 + 11/420*z**5 + 0*z + 5*z**2. Solve n(i) = 0 for i.
-1/3, -2/9, 0, 1
Let w be (1 - 2) + (-18)/(-10). Suppose b + h + 42 = 33, 0 = -7*h - 63. Suppose w*r**3 + b*r**2 - 4/5*r + 0 = 0. What is r?
-1, 0, 1
Let m = 7 + 20. Suppose 8 = -25*t + m*t. Let 0 + 0*a + 2/7*a**3 - 2/7*a**t + 4/7*a**2 = 0. What is a?
-1, 0, 2
Let f = -57 - -37. Let d be (5/24)/((45/f)/(-9)). Solve d*z**2 + 0 - 1/3*z + 1/6*z**4 - 2/3*z**3 = 0.
0, 1, 2
Let d(u) be the second derivative of -u**6/18 - u**5 - 35*u**4/12 - 25*u**3/9 + 89*u + 2. Factor d(h).
-5*h*(h + 1)**2*(h + 10)/3
Let h(l) = -6*l + 3. Let t be h(3). Let v be 12/9 + (-10)/t. Find a such that -6/13*a**4 - 6/13*a**3 - 2/13*a**v + 0 + 0*a - 2/13*a**5 = 0.
-1, 0
Let g be (6*9/(-81))/((-1)/2). Let c(n) be the third derivative of 0*n - 7*n**2 + 0 - g*n**4 - 32/3*n**3 - 1/15*n**5. What is j in c(j) = 0?
-4
Factor -1/4*s**2 - 15/4*s - 7/2.
-(s + 1)*(s + 14)/4
Suppose 0 = -2*y + 3*y. Let n(k) be the second derivative of -1/20*k**5 + 2*k + 0*k**3 + y*k**2 + 0 - 1/18*k**4 - 1/90*k**6. Suppose n(m) = 0. Calculate m.
-2, -1, 0
Let c = -45 - -36. Let w be 6/c*(-27)/24. What is v in 0*v + 1/2*v**2 + w*v**4 + 0 - 5/4*v**3 = 0?
0, 2/3, 1
Let v = -351 - -354. Let n(g) be the third derivative of -1/30*g**4 + g**2 + 0*g**v + 0 + 0*g + 1/150*g**5. Factor n(j).
2*j*(j - 2)/5
Let i = -6451/6 + 2153/2. Determine x so that 2/3*x**2 + 0 - i*x + 2*x**3 = 0.
-1, 0, 2/3
Let i be 5*(-1)/(-6) + 52954/(-64740). Let c(y) be the second derivative of 1/39*y**3 + 12*y - i*y**5 + 1/273*y**7 + 0*y**2 + 0*y**6 + 0 + 0*y**4. Factor c(h).
2*h*(h - 1)**2*(h + 1)**2/13
Let t(x) be the third derivative of 1/180*x**6 + 0*x - 5*x**2 + 0 - 1/18*x**4 + 0*x**3 + 1/90*x**5. Find y, given that t(y) = 0.
-2, 0, 1
Factor -2*l**3 + 60/7*l**2 + 16/7 - 72/7*l.
-2*(l - 2)**2*(7*l - 2)/7
Let l be -2*1 + 1 - -1. Let i be (-3900)/(-1875) - (-3 + 5)/(24 + 1). Solve l + 6/5*k**i - 4/5*k - 2/5*k**3 = 0.
0, 1, 2
Let k(b) be the second derivative of 1/5*b**2 + 0 - 1/90*b**4 - 53*b - 2/45*b**3. Find l, given that k(l) = 0.
-3, 1
Let w(q) be the second derivative of -q**4/6 + 58*q**3/15 + 24*q**2/5 + 2*q + 5. Solve w(z) = 0 for z.
-2/5, 12
Let -706/11*j**2 - 434/11*j**3 - 8/11 + 578/11*j**5 - 144/11*j + 714/11*j**4 = 0. What is j?
-1, -2/17, 1
Let f be 3/(-6)*4/257. Let s = 8234/1285 + f. Factor 14/5*z**4 - 2/5*z**5 - 38/5*z**3 + 8/5 - s*z + 10*z**2.
-2*(z - 2)**2*(z - 1)**3/5
Let p = 17 + -3. Suppose 8 + m**3 + 9*m - 3*m - 4*m**4 + p*m - 5*m**3 + 12*m**2 = 0. What is m?
-1, 2
Suppose 18*d + 58 = 418. Suppose -2*u - d = -7*u. Factor -1/2*o**u + o**2 + 0*o + 1/2*o**3 + 0.
-o**2*(o - 2)*(o + 1)/2
Factor 5*d**2 + 195*d + 181 + 282 - 663.
5*(d - 1)*(d + 40)
Let u = 111 + -115. Let b be 0/(-4 - -1)*2/u. Let b*z + 2/13 - 2/13*z**2 = 0. Calculate z.
-1, 1
Let r(i) = 2*i**4 + 4*i**3 - 26*i**2 + 56*i - 24. Let g(m) = -2*m**4 - 4*m**3 + 28*m**2 - 56*m + 24. Let h(x) = -6*g(x) - 5*r(x). Solve h(j) = 0 for j.
-6, 1, 2
Let c(v) be the first derivative of v**6/33 - 6*v**5/55 - 5*v**4/22 + 2*v**3/11 + 4*v**2/11 + 68. Solve c(m) = 0.
-1, 0, 1, 4
Let v = 37316 + -37314. Factor 10/7*m + 18/7*m**3 + 4/7 - 32/7*m**v.
2*(m - 1)**2*(9*m + 2)/7
Determine a so that -20*a - a**4 - 40 - 192*a**2 - 4*a**4 + 222*a**2 + 5*a**3 = 0.
-2, -1, 2
Let x(u) be the first derivative of -u**6/1080 - u**5/60 + 7*u**4/72 + 3*u**3 - 25. Let p(b) be the third derivative of x(b). Factor p(w).
-(w - 1)*(w + 7)/3
Let r(i) be the third derivative of 1/20*i**6 + 0*i + 0 - 1/168*i**8 + 0*i**3 + 1/6*i**5 - 6*i**2 - 1/105*i**7 + 1/6*i**4. Factor r(q).
-2*q*(q - 2)*(q + 1)**3
Suppose x**4 - 2*x**4 - 2 - 128*x - 9*x**2 + 5*x**3 + 135*x - x**4 + x**4 = 0. Calculate x.
1, 2
Let f(s) be the third derivative of 1/1995*s**7 + 3/95*s**5 - 3*s**2 - 5/57*s**4 - 7/1140*s**6 + 0*s + 0 + 8/57*s**3. Solve f(p) = 0.
1, 2
Let p = 2 - 0. Suppose -g + 4 = -p*f - 8, -2*g - 2*f = 6. Factor -5*h**2 + 8*h**2 + h + g*h.
3*h*(h + 1)
Suppose -5*n + 3*q = -n - 396, n + 3*q - 84 = 0. Let i be (-3)/4*n/(-27). Suppose 16/3*w + 10/3*w**2 - i = 0. What is w?
-2, 2/5
Let p(h) = 39*h + 784. Let u be p(-20). Let a(i) be the second derivative of -3/2*i**2 + 0 + 7/6*i**3 + 1/20*i**5 - 5/12*i**u - 12*i. Factor a(t).
(t - 3)*(t - 1)**2
Let t = 1486 - 8941/6. Let y = -71/18 - t. Let -y + 2/9*h**2 + 0*h = 0. Calculate h.
-1, 1
Suppose 4*c + 10 = -x, -23*c = -5*x - 28*c - 5. Let u = 5 + -3. Determine a so that u + 2*a + 1/2*a**x = 0.
-2
Suppose -4/3*v**3 - 7/3*v**2 - 1/9*v**4 + 0 - 10/9*v = 0. Calculate v.
-10, -1, 0
Let z(m) be the first derivative of 289*m**4/2 + 442*m**3/3 - 64*m**2 + 8*m + 19. Determine l, given that z(l) = 0.
-1, 2/17
Suppose -986*p + 144 - 584*p - 100*p + 484*p**5 - 2596*p**4 + 2348*p**3 + 134*p + 3748*p**2 = 0. What is p?
-1, 2/11, 3
Determine j so that -24/7*j**2 + 96/7*j - 24/7*j**3 + 9/7*j**4 - 48/7 = 0.
-2, 2/3, 2
Let v(b) = 186*b + 8000. Let d be v(-43). Determine t so that 0*t**d - 5/3*t**3 + 0*t + 5/3*t**4 + 0 = 0.
0, 1
Let f(q) be the second derivative of -q**5/90 - 7*q**4/3 - 147*q**3 + 202*q. Factor f(h).
-2*h*(h + 63)**2/9
Let l(n) be the first derivative of -2/5*n**2 - 2/15*n**3 + 1/10*n**4 + 0*n - 6. Factor l(r).
2*r*(r - 2)*(r + 1)/5
Suppose -3*l - 11 = 2*m, 4*l + 17 = -4*m - l. Find g such that -3*g**m + 7*g**3 - 19*g**3 + 14*g**4 + 12*g - 11*g**4 = 0.
-1, 0, 1, 4
Let r = -44 + 53. Suppose r = 9*j - 6*j. Factor 1/2*a**j - 1/4*a**5 - 1/4 - 1/4*a**4 - 1/4*a + 1/2*a**2.
-(a - 1)**2*(a + 1)**3/4
Let d(u) be the second derivative of u**5/4 + 295*u**4/18 + 2800*u**3/9 - 2000*u**2/3 + 105*u. Factor d(b).
5*(b + 20)**2*(3*b - 2)/3
Let b(w) be the third derivative of w**6/420 - 3*w**5/70 - 5*w**4/42 + 121*w**2 + 2*w. Factor b(n).
2*n*(n - 10)*(n + 1)/7
Let l be (-1 + 0)*(2/(-10))/((-1356)/(-1130)). Factor -l*w**2 - 2/3*w + 0.
-w*(w + 4)/6
Find j such that -2/3*j**2 + 692/3*j - 59858/3 = 0.
173
Let d(b) be the second derivative of -b**6/30 - 2*b**5/5 - 3*b**4/2 + 3*b**2/2 - 18*b. Let u(z) be the first derivative of d(z). Factor u(g).
-4*g*(g + 3)**2
Let x(z) be the second derivative of z**4/48 - z**3/6 + 76*z. Factor x(u).
u*(u - 4)/4
Let k(h) be the third derivative of 19/210*h**5 + 0 - 14*h**2 + 4/21*h**3 + 1/6*h**4 + 4/735*h**7 + 0*h + 5/168*h**6 + 1/2352*h**8. Solve k(l) = 0.
-2, -1
Factor 3028*b - 2*b**3 - 1514*b + b**4 - 1514*b.
b**3*(b - 2)
Let f(u) be the second derivative of -u**7/147 - 4*u**6/105 + u**5/14 + 98*u. Solve f(a) = 0.
-5, 0, 1
Let v(p) be the first derivative of 2*p**5/15 - 47*p**4/24 + 16*p**3/9 + 11*p**2/12 + 329. Let v(n) = 0. What is n?
-1/4, 0, 1, 11
Let v(k) be the first derivative of 18723*k**4/4 - 5925*k**3 - 468*k**2 - 12*k - 610. Suppose v(x) = 0. What is x?
-2/79, 1
Let k be (((-48)/(-15))/8)/((-1)/(-5)). Solve -z - k*z - 24*z**2 + 0*z + z**3 + 26*z**2 = 0.
-3, 0, 1
Let b(t) be the third derivative of t**6/90 + t**5/45 - 12*t**2 - 7*t. Suppose b(q) = 0. What is q?
-1, 0
Suppose 17 = 10*w - 3. Let s be (-2)/14 - 150/(-70). Factor -w*f - 8/5 - 2/5*f**s.
-2*