d derivative of -7*r**2 + 0*r + 0 - y*r**5 + 0*r**4 + 0*r**3. Let n(u) = 0. What is u?
0
Let n(k) be the first derivative of k**6/3 - 4*k**5/5 - k**4/2 + 4*k**3/3 - 33. Factor n(f).
2*f**2*(f - 2)*(f - 1)*(f + 1)
Let j(c) be the first derivative of 5*c**4/12 + 10*c**3/3 + 15*c**2/2 - 9*c + 19. Let h(v) be the first derivative of j(v). Factor h(r).
5*(r + 1)*(r + 3)
Let g(a) be the first derivative of a**4/2 + 83*a**3/15 + 47*a**2/5 + 21*a/5 - 157. Suppose g(o) = 0. Calculate o.
-7, -1, -3/10
Let z(t) be the third derivative of -t**5/15 - t**4/2 + 9*t**2 - 11*t. Solve z(v) = 0 for v.
-3, 0
Let w(q) be the first derivative of 7*q**6/8 + 11*q**5/4 + 7*q**4/16 - 17*q**3/4 - 7*q**2/2 - q - 95. Let w(g) = 0. What is g?
-2, -1, -1/3, -2/7, 1
Let o be -1 + (0 + -7)/(-13 + 12). Let z(l) be the second derivative of 0*l**2 - 1/4*l**4 + 0*l**3 - 1/30*l**o - 1/5*l**5 + 2*l + 0. Solve z(r) = 0.
-3, -1, 0
Let a = -938 - -4694/5. Determine n, given that -3/5*n**2 - 1/5 + 4/5*n + 4/5*n**4 - a*n**3 = 0.
-1, 1/2, 1
Let i(n) be the third derivative of n**6/30 - n**5/15 - n**4/6 + 2*n**3/3 + 66*n**2. Let i(u) = 0. Calculate u.
-1, 1
Let 16779*y + 198 - 16854*y - y**3 - 73 + 15*y**2 = 0. Calculate y.
5
Let g(v) = 6*v**2 + 2*v**5 + v**5 - 4 + v**3 - 34*v**4 + 32*v**4. Let w(s) = s**5 + s**2 - 1. Let o(r) = -3*g(r) + 12*w(r). Determine i so that o(i) = 0.
-2, -1, 0, 1
Suppose -5*g - 2*q - 13 = -3, 15 = 3*g - 3*q. Factor g + 0*s - 64/5*s**3 - 16/5*s**2 - 28/5*s**4.
-4*s**2*(s + 2)*(7*s + 2)/5
Let p(d) be the third derivative of -14*d**2 + 0 + 1/18*d**3 + 1/360*d**5 + 0*d + 1/48*d**4. Factor p(r).
(r + 1)*(r + 2)/6
Let l(x) = -72*x**2 - 110*x - 114. Let f(r) = -15*r**2 - 22*r - 23. Let o(a) = 14*f(a) - 3*l(a). Suppose o(w) = 0. What is w?
-2, -5/3
Suppose 2*g - 3*f - 21 = 0, -g - 1 - 2 = 3*f. Let j be (-2*18/(-15))/(-4 + g). Find h, given that -2/5*h**3 - 6/5*h - 2/5 - j*h**2 = 0.
-1
Let k(t) = -t**3 + t**2 + t. Let q(d) be the third derivative of d**5/5 + d**4/6 - d**3/2 - 22*d**2. Let u(a) = -10*k(a) + 2*q(a). Factor u(o).
2*(o + 1)**2*(5*o - 3)
Suppose -8*m + 11 = -13. Suppose 3*n + 15 = 0, -3*i - 3*n = -0*n + m. Factor -1/2 + 5/4*r + 3/4*r**i - 5/4*r**3 - 1/4*r**2.
(r - 1)**2*(r + 1)*(3*r - 2)/4
Suppose -4*p - 4 = 0, 5*p = -2*i - i + 1. Suppose 4*n + i = 5*n. Let 2/13*z**n + 0 - 2/13*z**3 + 2/13*z - 2/13*z**4 = 0. What is z?
-1, 0, 1
Let d be 3/(3/1)*-4. Let m be d/(-10) + (-26)/(-10). Factor -15*g**2 - 25*g - 12 + g**m - 4*g**3 + g.
-3*(g + 1)*(g + 2)**2
Let c be (-6)/(-2) + (7 - 7). Let n(t) = 5*t**3 - 15*t**2 + 17. Let m(f) = -60*f**3 + 180*f**2 - 205. Let g(u) = c*m(u) + 35*n(u). Factor g(r).
-5*(r - 2)**2*(r + 1)
What is j in -43/3*j - 14/3 - 17/3*j**3 - 1/3*j**4 - 15*j**2 = 0?
-14, -1
Let k(g) = 3. Let q(i) = 2. Let c(m) = -3*k(m) + 4*q(m). Let z(b) = b**2 - 10*b + 28. Let l(f) = -15*c(f) - 5*z(f). Find r such that l(r) = 0.
5
Let j(d) be the third derivative of d**8/2688 - d**7/252 + d**6/72 - 7*d**4/24 - d**2. Let k(s) be the second derivative of j(s). Let k(b) = 0. What is b?
0, 2
Suppose -5*w + 8*w - 5*o = -357, -5*w - o = 567. Let x = 118 + w. Find f, given that -14*f**2 - 22/3*f - 4/3 - 34/3*f**3 - 10/3*f**x = 0.
-1, -2/5
Let z(a) be the first derivative of -90*a**3 - 545*a**2/2 - 10*a + 6. Factor z(g).
-5*(g + 2)*(54*g + 1)
Let u be ((-8)/(-14))/((-640)/(-1680)). Let 1/2*j**2 - u*j + 1 = 0. What is j?
1, 2
Solve 3*n - 3*n + 0*n**2 + 7*n**2 - 2*n = 0 for n.
0, 2/7
Let l(m) = 45*m**3 - 600*m**2 + 1785*m + 1462. Let c(w) = -15*w**3 + 200*w**2 - 595*w - 487. Let v(t) = 8*c(t) + 3*l(t). What is n in v(n) = 0?
-2/3, 7
Let y = 6 - 4. Factor -t**4 - 135*t**3 + 133*t**3 - 3*t**4 - y*t**5.
-2*t**3*(t + 1)**2
Let v(s) = -s**3 - 2*s**2 - s. Suppose -118 = -5*b - 128. Let n be v(b). Find i such that 0 - n*i**3 + 4/7*i + 10/7*i**2 = 0.
-2/7, 0, 1
Let w = -3139/2460 + 53/41. Let z(x) be the second derivative of 1/30*x**3 + w*x**4 - 1/10*x**2 - x - 1/100*x**5 + 0. Determine r so that z(r) = 0.
-1, 1
Let u be 2/(4 + 42/(-12)). Let c(d) be the second derivative of -2/3*d**3 - 5/21*d**7 - 17/15*d**6 - 21/10*d**5 + 6*d - 11/6*d**u + 0*d**2 + 0. Factor c(l).
-2*l*(l + 1)**3*(5*l + 2)
Let k(j) be the first derivative of 0*j**2 - j**2 - 7 - j**2 + j**4. Find u, given that k(u) = 0.
-1, 0, 1
Factor -28/5*y**2 - 24/5 + 4/5*y**4 - 52/5*y + 4/5*y**3.
4*(y - 3)*(y + 1)**2*(y + 2)/5
Suppose 43*l = 48*l - 10. Let c(z) be the first derivative of -l - z - z**2 - 1/3*z**3. Suppose c(h) = 0. Calculate h.
-1
Find x such that -40/3*x + 5*x**4 - 20*x**2 + 5/3*x**5 - 10/3*x**3 + 0 = 0.
-2, -1, 0, 2
Let f(j) be the second derivative of -j**7/105 - 7*j**6/75 - 7*j**5/50 + 23*j**4/30 + 8*j**3/15 - 16*j**2/5 - j + 29. Determine v so that f(v) = 0.
-4, -1, 1
Suppose 18 = 10*n - 7*n. Factor -64*i**2 - n*i - 24*i - 2*i + 12.
-4*(4*i - 1)*(4*i + 3)
Let j(z) be the second derivative of 3*z**5/80 + z**4/8 - 7*z**3/8 + 3*z**2/2 + 60*z. Solve j(m) = 0 for m.
-4, 1
Let k(b) be the first derivative of b**5/5 + 19*b**4/4 + 33*b**3 + 81*b**2/2 + 282. Factor k(g).
g*(g + 1)*(g + 9)**2
Let i(d) be the second derivative of -d**6/15 - 23*d**5/5 - 80*d**4 + 384*d**3 - 542*d. Solve i(l) = 0 for l.
-24, 0, 2
Let a(l) be the first derivative of 3/4*l + 4 + 1/8*l**3 + 9/16*l**2. Solve a(r) = 0.
-2, -1
Let l = -75/19 - -6656/1691. Let n = 3921/445 + l. Find r such that -14/5*r**2 + 4/5*r - n*r**3 + 0 = 0.
-1/2, 0, 2/11
Solve -208*b**4 - 18 - 15*b + 211*b**4 + 15*b**2 + 11*b**3 + 4*b**3 = 0 for b.
-3, -2, -1, 1
Let i(v) = 2*v - v + 0*v - 9 + v. Let c be i(6). Factor s**4 - 2*s**4 + 2 - s**2 + 3*s**c + 0 - 3*s.
-(s - 2)*(s - 1)**2*(s + 1)
Let z be 3 + (0 - 2 - 3). Let c be z/(1/(3 - 5)). Factor 3*w + w**3 + 1 - 4 + 3*w**2 + c.
(w + 1)**3
Let h be (-328)/820*((-7)/3)/((-2)/(-3)). What is n in 2/5 - 14/5*n**2 + 3/5*n + 12/5*n**4 + 4/5*n**3 - h*n**5 = 0?
-1, -2/7, 1
Solve -8*o**4 - 5224*o**2 + 20*o**3 + 31*o + 5304*o**2 + 15*o + 24*o**3 - 18*o = 0 for o.
-1, -1/2, 0, 7
Let j(k) be the first derivative of -230*k**3/3 + 235*k**2/2 - 5*k + 227. Factor j(t).
-5*(t - 1)*(46*t - 1)
Let s = -2198 - -3554. Let k be s/84 - 2/14. Let 1 + 4*q**2 + 16*q**3 - k*q - 6 + 1 = 0. Calculate q.
-1, -1/4, 1
Let u(w) be the first derivative of -1/3*w**3 + 27 + 2*w - 1/2*w**2. Solve u(x) = 0 for x.
-2, 1
Suppose 2*v + 8 - 48 = -4*q, 4*q = -v + 38. Factor 2/5 + 1/5*y**v + 3/5*y.
(y + 1)*(y + 2)/5
Let k(g) = g**3 + 4*g**2 + g - 2. Let o be k(-2). Let f(t) = 0 - 5 + o - t + 2*t. Let p(b) = -3*b**2 + 16*b - 16. Let r(n) = 4*f(n) - p(n). Factor r(q).
3*(q - 2)**2
Let k be (-8 + 2)*(-5)/15. Determine v, given that -81*v + 81*v - 3*v**k + 3 = 0.
-1, 1
Let g(s) be the first derivative of -s**5/5 + 5*s**4/4 + s**3/3 - 5*s**2/2 - 722. Factor g(w).
-w*(w - 5)*(w - 1)*(w + 1)
Let 96*j**2 - 8 - 210*j - 10*j**3 - 16 - 93 + 17 = 0. What is j?
-2/5, 5
Let n(d) be the first derivative of d**3/3 - 7*d**2/2 - 8*d - 73. Let n(z) = 0. Calculate z.
-1, 8
Let z(s) = s**2 - s + 1. Let n(g) = 60*g**2 + 700*g - 125. Let k(c) = n(c) - 5*z(c). Factor k(m).
5*(m + 13)*(11*m - 2)
Let y be (-20)/(-2)*((-76)/10 - (-8 + 0)). Factor 50/7*c**2 + 2*c**y - 32/7*c + 8/7 - 38/7*c**3 - 2/7*c**5.
-2*(c - 2)**2*(c - 1)**3/7
Let u be (-35)/(-21) + 3/63. Factor u*w**2 + 2/7 + 8/7*w + 8/7*w**3 + 2/7*w**4.
2*(w + 1)**4/7
Suppose -2*u = -8*u. Factor 8*x**3 + 21 - 6*x - 4*x**5 + u*x**3 + 2*x - 25 - 4*x**4 + 8*x**2.
-4*(x - 1)**2*(x + 1)**3
Let z = -9914 - -29746/3. Factor z - 2/3*n - 2*n**2.
-2*(n + 1)*(3*n - 2)/3
Let z(c) be the first derivative of c**4/12 + 3*c**3 + 81*c**2/2 + 20*c + 30. Let i(x) be the first derivative of z(x). Factor i(q).
(q + 9)**2
Let -20/7*s + 4/7*s**4 - 60/7*s**2 + 8 + 20/7*s**3 = 0. Calculate s.
-7, -1, 1, 2
Let g = -3144/11 - -286. Suppose -2*s + 12 = 3*a, -3*s - 3*a - 3 = -15. Factor -2/11*v - g*v**2 + s.
-2*v*(v + 1)/11
Factor 413*l**2 + 59*l**2 + 720*l - 4*l**4 + 8*l**4 + 80*l**3 + 324.
4*(l + 1)**2*(l + 9)**2
Let a(r) = -r**2 - 51*r + 96. Let f(z) = -z**2 - 1. Let y(o) = a(o) - 2*f(o). Factor y(i).
(i - 49)*(i - 2)
Suppose 649 = 3*w + 523. Let k be 100/w - (-18)/63. Determine f so that -k - 2/3*f**4 + 2*f**2 - 4/3*f**3 + 8/3*f = 0.
-2, 1
Let d(v) = -3*v**4 + 4*v**3 - v**2 + 2. Let s(u) = -u**3 + u**2 + 1. Let k(o) = -d(o) + 2*s(o). Find b, given that 