2 - 22*d - 116. Let u be t(-9). Factor -5/2*c - 2*c**2 - 1/2*c**3 - u.
-(c + 1)**2*(c + 2)/2
Let p(z) be the third derivative of z**6/140 + 17*z**5/105 - 25*z**4/84 - 4*z**3/7 - z**2 + 19. Let p(s) = 0. Calculate s.
-12, -1/3, 1
Let c(j) be the second derivative of -5*j**7/42 + 2*j**6/3 - j**5 - 5*j**4/6 + 25*j**3/6 - 5*j**2 - 105*j. Suppose c(v) = 0. What is v?
-1, 1, 2
Let y = -391/324 - -118/81. Let 0 + 3/4*n**2 + 0*n - y*n**3 = 0. What is n?
0, 3
Let r(j) be the first derivative of -j**4/18 - 4*j**3/3 + 7*j**2/3 + 76*j/9 - 112. Determine u, given that r(u) = 0.
-19, -1, 2
Let c(n) be the third derivative of -n**8/105 + n**7/70 + n**6/90 - 23*n**3/6 - 14*n**2. Let g(l) be the first derivative of c(l). Determine p so that g(p) = 0.
-1/4, 0, 1
Suppose 5197*l**3 - 2646*l**3 + 2*l**4 - 2625*l**3 = 0. Calculate l.
0, 37
Let d be (-5)/(-2)*204/255. Let k(l) be the second derivative of -6*l - 1/6*l**3 + 0 + 0*l**d + 1/24*l**4. Find o such that k(o) = 0.
0, 2
Let k(g) = g**3 - 9*g**2 - 111*g + 9. Let o be k(-7). Factor 19/5*a**o - 4/5 - 7/5*a**3 - 8/5*a.
-(a - 2)*(a - 1)*(7*a + 2)/5
Let z(n) be the third derivative of -n**10/37800 + n**9/3780 - n**8/1260 - 2*n**5/15 + n**2. Let s(r) be the third derivative of z(r). Factor s(t).
-4*t**2*(t - 2)**2
Suppose 0 = -0*c + 12*c - 2 + 2. Factor 0 - 1/3*d**2 + c*d.
-d**2/3
Let v(w) be the first derivative of w**6/75 - w**4/15 + w**2/5 - 13*w + 9. Let r(g) be the first derivative of v(g). Determine u, given that r(u) = 0.
-1, 1
Let d(r) = -r**2 - 5*r + 1. Let v(x) = 9*x**2 - 230*x + 3121. Let a(c) = -4*d(c) - v(c). Let a(y) = 0. Calculate y.
25
Let o(y) be the first derivative of -4*y**3/9 + 28*y**2 + 256. Factor o(g).
-4*g*(g - 42)/3
Suppose 0*f + 5*f - 43 = -l, -f = -3*l - 15. Suppose -10*g + f*g = -12. Solve 2*n**4 - 3*n**4 + 12*n**2 + 6*n**2 + 4*n**4 - 12*n**3 - g*n + 3 = 0 for n.
1
Let q(x) be the third derivative of -13*x**6/40 + 431*x**5/20 + 47*x**4 - 34*x**3 + 432*x**2 + 2. Factor q(p).
-3*(p - 34)*(p + 1)*(13*p - 2)
Let a(q) be the first derivative of -21*q**4/8 + 11*q**3/2 - 3*q**2/4 - 9*q/2 + 3. Factor a(h).
-3*(h - 1)**2*(7*h + 3)/2
Suppose 0 - 86/5*b**3 + 0*b + 128/5*b**4 - 22/5*b**5 - 4*b**2 = 0. What is b?
-2/11, 0, 1, 5
Let n be (-2)/2 - (-2 - -1). Suppose -53 = -84*y + 57 + 58. Factor n + 18/7*k + 2/7*k**3 + 12/7*k**y.
2*k*(k + 3)**2/7
Let n(k) = k**3 + 5*k**2 - 5*k + 8. Let h be n(-6). Factor 2*x**2 - 24*x + 0*x**h + 48 + x**2.
3*(x - 4)**2
Let t(z) be the third derivative of z**5/60 + 31*z**4/12 + 961*z**3/6 + 68*z**2 - 2. Solve t(k) = 0 for k.
-31
Let s(z) be the second derivative of -z**5/10 + 7*z**4 - 196*z**3 + 2744*z**2 - 2*z - 10. Factor s(n).
-2*(n - 14)**3
Let o(s) be the second derivative of s**4/15 + 64*s**3/3 + 2560*s**2 - 5*s + 32. Factor o(g).
4*(g + 80)**2/5
Let k(h) be the second derivative of 1/7*h**7 + h**4 + 3/10*h**5 - 1/2*h**6 + 3/2*h**2 - 20*h - 2*h**3 + 0. Determine f so that k(f) = 0.
-1, 1/2, 1
Let g(l) be the first derivative of 1/16*l**4 - 1/80*l**5 - 1/8*l**3 + 1/8*l**2 - l + 2. Let k(h) be the first derivative of g(h). Factor k(o).
-(o - 1)**3/4
Let s = 6/173 - -316/865. Let y(x) be the third derivative of s*x**5 - 7*x**2 + 2/35*x**7 + 0 + 0*x**3 + 0*x + 1/3*x**4 + 1/168*x**8 + 13/60*x**6. Factor y(c).
2*c*(c + 1)**2*(c + 2)**2
Factor -x**3 + 1 - 3/2*x**2 + 3/2*x.
-(x - 1)*(x + 2)*(2*x + 1)/2
Let s be (11/14 - 5/10)*14. Let n(q) be the first derivative of 1/8*q**2 - 1/6*q**3 - 3 - 1/16*q**s + 1/2*q. Find c, given that n(c) = 0.
-2, -1, 1
Let k(q) be the second derivative of 0*q**6 + 1/6*q**3 + 1/10*q**5 - 18*q - 2/9*q**4 - 1/126*q**7 + 0 + 0*q**2. Factor k(b).
-b*(b - 1)**3*(b + 3)/3
Let f(k) be the third derivative of 1/1890*k**7 + 0*k**3 - 1/135*k**5 + 0*k + 16*k**2 + 0 - 1/1080*k**6 + 1/54*k**4. Determine b, given that f(b) = 0.
-2, 0, 1, 2
Let j = 39 - 40. Let w(t) = -t**2. Let f(v) = -5*v**3 - 20*v**2 - 40*v - 20. Let r(l) = j*f(l) - 5*w(l). Solve r(y) = 0.
-2, -1
Let x = -9/19 - -113/38. Let r(g) be the first derivative of 2/5*g**5 + 4*g + 5 + 6*g**3 - x*g**4 - 7*g**2. Determine q, given that r(q) = 0.
1, 2
Let q(g) be the second derivative of -g**4/90 - 2*g**3/45 + 4*g - 3. Factor q(n).
-2*n*(n + 2)/15
Let o(h) be the second derivative of 1/2*h**2 - 6*h - 1/6*h**3 + 1/20*h**5 + 0 - 1/12*h**4. Factor o(n).
(n - 1)**2*(n + 1)
Let d be (-45)/(-10) - 2/(-4). Suppose -20 = 2*h - 6*h, h - 30 = -d*u. Find o such that -2 - 20*o**3 + 2*o**4 + 0*o**3 + 8*o + 6*o**u + 6*o**5 = 0.
-1, 1/3, 1/2, 1
Let w(j) = 6*j**4 - 3*j**3 - 2*j**2 - 6*j - 5. Let v(y) = y**4 - y**2 - y - 1. Let l(m) = 5*v(m) - w(m). Factor l(f).
-f*(f - 1)**3
Let d = 803/3 + -267. Let n(z) be the second derivative of -5*z + 0 + 1/6*z**4 + z**2 - d*z**3. Factor n(x).
2*(x - 1)**2
Solve -74/3*z**2 - 1286/3*z**3 + 272/3*z - 354*z**4 - 54*z**5 - 40/3 = 0.
-5, -1, 2/9
Let b be 22/(-330)*(-1)/8. Let a(p) be the second derivative of -1/20*p**5 - 1/8*p**2 - 1/6*p**3 - 1/8*p**4 + 0 - b*p**6 + 8*p. Factor a(d).
-(d + 1)**4/4
Let p be 128/(-30)*(-348)/464. What is a in -8/5 - 16/5*a**3 - 2*a**4 + p*a + 18/5*a**2 = 0?
-2, -1, 2/5, 1
Let u(l) be the second derivative of -2*l**6/15 + 36*l**5/5 - 989*l. Factor u(z).
-4*z**3*(z - 36)
Let n(o) be the first derivative of 0*o - 6/11*o**5 + 2/11*o**3 - 7/11*o**4 + 2/11*o**2 - 9. Find l, given that n(l) = 0.
-1, -1/3, 0, 2/5
Let z(v) be the third derivative of -1/150*v**5 - 1/150*v**6 + 0*v - 1/525*v**7 + 0*v**4 - v**2 + 0*v**3 + 0. Factor z(q).
-2*q**2*(q + 1)**2/5
Factor 3*y + 1 - 4*y**2 + 7*y**2 - 4*y - 3 - 2*y**2.
(y - 2)*(y + 1)
Let d = 885/586 + -3/293. Let q(i) be the first derivative of -9/4*i**4 - 3/5*i**5 - d*i**2 - 2 + 0*i - 3*i**3. Determine c so that q(c) = 0.
-1, 0
Let g be (5 - -18) + 3 + -2. Factor g*i**2 + 3*i**3 + 0*i**3 - 3166 + 3166 + 48*i.
3*i*(i + 4)**2
Let l(m) be the third derivative of m**6/420 - m**5/210 + 23*m**2 + 7*m. Determine w so that l(w) = 0.
0, 1
Let a = 15695 + -78466/5. Solve -1/5*o**3 + 11/5 + a*o**2 + 21/5*o = 0 for o.
-1, 11
Let l(r) be the second derivative of -r**7/2520 - r**6/270 - r**5/72 - r**4/36 - r**3/3 + 5*r. Let b(w) be the second derivative of l(w). Solve b(a) = 0 for a.
-2, -1
Factor -33/2 + 21/4*b**2 + 3/8*b**3 + 87/8*b.
3*(b - 1)*(b + 4)*(b + 11)/8
Let l(t) = 4*t**2 + 3*t - 4. Let k be l(-3). Suppose -k*u + 60 = 14. Determine a, given that 0 - 15/8*a**3 - 9/8*a**u + 3/4*a = 0.
-1, 0, 2/5
Let x be ((-6)/2 - -15) + -3. Let h(i) = 7*i**3 + 9*i**2 + 6*i - 4. Let q(m) = -15*m**3 - 18*m**2 - 12*m + 9. Let g(d) = x*h(d) + 4*q(d). Factor g(n).
3*n*(n + 1)*(n + 2)
Let y be ((-196)/35 + 6)/(5*5/125). Let b be 1/(4/((-12)/(-9))). Determine v, given that 1/3*v**y + 1/3*v**3 - 1/3*v - b = 0.
-1, 1
Let x(j) be the first derivative of j**4/2 + 2*j**3 - 10*j**2 - 686. Suppose x(p) = 0. Calculate p.
-5, 0, 2
Let b(l) be the second derivative of -l**6/315 + l**4/63 - l**2/21 + l + 16. Factor b(r).
-2*(r - 1)**2*(r + 1)**2/21
Let t(q) be the first derivative of -q**5/35 + 3*q**4/28 + 6*q**3/7 + 330. Let t(c) = 0. What is c?
-3, 0, 6
Let f(g) = -5*g**2 + 74*g + 71. Let q(y) = -15*y**2 + 224*y + 211. Let h(w) = 7*f(w) - 2*q(w). Determine d, given that h(d) = 0.
-1, 15
Let t be (-1)/2*(7 - -15). Let g(j) = -j**2 - 11*j + 4. Let y be g(t). Factor 10*u**2 - 4*u**4 + 2*u - u**4 - 2*u**3 + 3*u**4 - 4 - y*u**2.
-2*(u - 1)**2*(u + 1)*(u + 2)
Suppose 0 = 3*c + 2 - 8. Solve 40 - 62*p - 22*p**3 - 103*p**3 + 150*p**c + 242*p = 0.
-2/5, 2
Let z be -3 - ((-365)/(-4) + 6/(-6)). Let b = -93 - z. Factor 1/4*j**3 - 1/4 + b*j**2 - 1/4*j.
(j - 1)*(j + 1)**2/4
Suppose 4 - 6 = -2*x. Let i be (0 - x) + -6 + 12. Let t(s) = 2*s**2. Let h(f) = -f**2. Let q(d) = i*h(d) + 2*t(d). Factor q(z).
-z**2
Let c(l) be the third derivative of l**5/20 - 5*l**4/4 + 8*l**3 - 10*l**2 + 2*l. Find s such that c(s) = 0.
2, 8
Let b = 0 - -12. Factor -k - b*k**4 + 10*k**4 + 6*k**2 - 3*k.
-2*k*(k - 1)**2*(k + 2)
Suppose 2*y - 1278 = -2*u, 5*y - 2*u - 2159 = 1029. Determine b, given that -5 + y*b + 0 + 4*b**2 - 657*b = 0.
-1/4, 5
Let s(c) be the third derivative of -c**6/60 + 7*c**5/10 + 8*c**2 - 7. Determine a so that s(a) = 0.
0, 21
Let a(q) be the second derivative of 3*q**7/14 + q**6/10 - 33*q**5/20 - 9*q**4/4 + 2*q**3 + 6*q**2 + 4*q - 16. What is z in a(z) = 0?
-1, 2/3, 2
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