cond derivative of 9/2*z**2 + 0 + 11/12*z**3 - 131*z - 3/10*z**5 + 1/84*z**7 + 2/15*z**6 - 13/12*z**4. Suppose r(j) = 0. What is j?
-9, -1, 1, 2
Let r(c) be the second derivative of 10*c**7/21 - 79*c**6/6 - 6*c**5 + 395*c**4/12 + 50*c**3/3 - 29*c - 13. Let r(g) = 0. Calculate g.
-1, -1/4, 0, 1, 20
Let r(f) be the first derivative of 0*f - 32/3*f**3 + 4*f**2 + 7/2*f**4 + 94. Factor r(j).
2*j*(j - 2)*(7*j - 2)
Let m(u) be the second derivative of u**6/6 + u**5/4 - 5*u**4 + 10*u**3/3 + 40*u**2 - 409*u - 1. Find f, given that m(f) = 0.
-4, -1, 2
Let w(f) be the third derivative of 0 + 1/120*f**5 + 7/48*f**4 + 5/6*f**3 + 16*f**2 + 0*f. Factor w(j).
(j + 2)*(j + 5)/2
Factor 49*q**2 - 1150*q - 1/2*q**3 - 2500.
-(q - 50)**2*(q + 2)/2
Let p(b) be the third derivative of b**6/300 - 2*b**5/75 + b**4/15 - 4423*b**2. Factor p(i).
2*i*(i - 2)**2/5
Let v(u) be the first derivative of -9*u**5/40 + 29*u**4/24 - 2*u**3 + u**2 + 30*u - 62. Let y(a) be the first derivative of v(a). Factor y(j).
-(j - 2)*(j - 1)*(9*j - 2)/2
Let a(r) be the third derivative of 0*r**3 - 53*r**2 + 0*r + 0 - 1/30*r**4 - 1/300*r**6 - 1/50*r**5. Determine y, given that a(y) = 0.
-2, -1, 0
Let r(b) = 9*b**3 + 16*b**2 - 28*b - 15. Let i be r(2). Find l such that i*l + 35/2*l**2 - 20 = 0.
-4, 2/7
Factor -20109*s**3 - 5 + 24*s - 15*s**2 - 20102*s**3 + 40207*s**3.
-(s - 1)*(s + 5)*(4*s - 1)
Let l(k) be the first derivative of 1081/12*k**3 + 81*k - 74 + 1/24*k**6 + 39/20*k**5 + 126*k**2 + 435/16*k**4. Determine g so that l(g) = 0.
-18, -1
Let o(p) be the second derivative of p**7/5880 - p**6/280 + 187*p**4/12 + 29*p + 2. Let q(s) be the third derivative of o(s). Factor q(i).
3*i*(i - 6)/7
Let g be 8/(-4 - -3) - -36. Factor g*j**2 - 51*j - 18 - 11*j**3 - 10*j**3 - 79*j**2 - 3*j**4.
-3*(j + 1)**2*(j + 2)*(j + 3)
Let f(s) = s**2 - 15*s. Let a(g) = 17*g**2 + 658*g + 137. Let w(c) = 4*a(c) - 44*f(c). Factor w(t).
4*(t + 137)*(6*t + 1)
Let p(r) = -r**2 + 5*r + 186. Let h be p(-10). Suppose -h*c + 27*c + 18*c = 0. Factor c - 2/3*g**3 - 20/3*g**2 - 50/3*g.
-2*g*(g + 5)**2/3
Let y(j) be the second derivative of 11*j**5/5 - 78*j**4 + 110*j**3/3 + 336*j**2 - 9520*j. Find w such that y(w) = 0.
-8/11, 1, 21
Find a, given that -912/5 - 1/5*a**3 - 292/5*a + 16*a**2 = 0.
-2, 6, 76
Let c(r) be the second derivative of -r**6/720 + r**5/120 + r**4/6 + 71*r**3/3 - 128*r. Let w(n) be the second derivative of c(n). Factor w(t).
-(t - 4)*(t + 2)/2
Let z(o) = o**2 + 1. Let c be z(-3). Suppose 0 = 33*p - 35*p + 4. Factor -10*i**3 - 4 - c*i + 3*i - 26*i**p + 4*i**5 - 15*i + 6*i**4 + 4*i.
2*(i - 2)*(i + 1)**3*(2*i + 1)
Let n(o) be the first derivative of -o**3/3 - 17*o**2/2 - 60*o - 303. Factor n(b).
-(b + 5)*(b + 12)
Suppose -26*b - 56 = -27*b. Let z = 60 - b. What is v in 3*v + 15*v**2 - z*v**2 - 18 - 8*v**2 = 0?
-3, 2
Let i(c) be the first derivative of -2*c**3/27 - 200*c**2/3 - 20000*c - 1790. Find l such that i(l) = 0.
-300
Let s(i) = -i**2 - 43*i - 454. Let b be s(-19). What is g in -25/9 - 1/9*g**b - 10/9*g = 0?
-5
Let i(j) be the first derivative of -178 - 1240/9*j**2 + 400/9*j + 4/5*j**5 + 4084/27*j**3 - 62/3*j**4. Factor i(u).
4*(u - 10)**2*(3*u - 1)**2/9
Let c(w) = w. Let i(v) = -2*v**2 + 66*v - 648. Let h be 1*-3*1/(-3). Let j(y) = h*i(y) + 6*c(y). What is q in j(q) = 0?
18
Factor -128/3 + 2/15*u**3 - 92/15*u**2 + 496/15*u.
2*(u - 40)*(u - 4)*(u - 2)/15
Let j(c) be the first derivative of -c**4/2 - 166*c**3 - 15867*c**2 - 90774*c - 1357. Let j(o) = 0. Calculate o.
-123, -3
Let b = -25567 - -76702/3. Let d(v) be the first derivative of -1/16*v**4 - 1 + 0*v + b*v**3 - 3/8*v**2. Determine g, given that d(g) = 0.
0, 1, 3
Suppose -u - 2*c - c = -2, -3*c = 0. Suppose -3*z = -u*k - 32, 3*k = 2 - 5. What is m in 12 + 3*m**2 + 10*m - 4*m + z*m + m**2 = 0?
-3, -1
Let t be 274318/(-121)*(6/4 - 2). Let u = -1133 + t. Factor u*p**2 + 2/11*p**3 - 6/11 - 2/11*p.
2*(p - 1)*(p + 1)*(p + 3)/11
Let i(t) = -9*t - 5. Let n be ((-2)/1)/(-2 - -4). Let b be i(n). Factor 6*o**2 - 2*o**2 - b - 7 - 4*o + 3.
4*(o - 2)*(o + 1)
Let m = 287 + 124. Let j = -1231/3 + m. What is s in j*s + 4/3 - 2/3*s**3 - 4/3*s**2 = 0?
-2, -1, 1
Let q(j) = 2*j + 0*j**2 - j**2 - 3*j. Let g(w) = -5*w**2 - 6*w - 1. Let b = -14191 + 14193. Let k(z) = b*g(z) - 9*q(z). Find v, given that k(v) = 0.
-2, -1
Let m = -109 + 111. Suppose -m = 5*z - 12. Factor 26*n + 23*n - 19*n - 4*n**z + 35 - n**2.
-5*(n - 7)*(n + 1)
Solve 4/3*f**2 - 1540/3 + 64*f = 0.
-55, 7
Let k(s) be the third derivative of -207*s**2 + 21/170*s**5 + 0*s + 0*s**3 + 0 - 1/68*s**6 + 1/1785*s**7 - 49/204*s**4. Factor k(w).
2*w*(w - 7)**2*(w - 1)/17
Let u(v) be the second derivative of 7/60*v**3 + 1/2*v**2 - 6*v - 4 + 1/120*v**4. Solve u(k) = 0 for k.
-5, -2
Let o(u) be the second derivative of 7*u**5/5 - 41*u**4/3 + 148*u**3/3 - 80*u**2 + 3751*u. Factor o(n).
4*(n - 2)*(n - 1)*(7*n - 20)
Let q(c) be the third derivative of -c**7/525 + 11*c**6/300 - 2*c**5/15 - 8*c**4/15 + 4046*c**2. Find f, given that q(f) = 0.
-1, 0, 4, 8
Let h(v) = v**3 + v**2 - 12*v - 1. Let j(u) = 5*u**4 + 353*u**3 + 8283*u**2 + 68734*u + 60832. Let i(g) = 3*h(g) - j(g). Factor i(x).
-5*(x + 1)*(x + 23)**3
Let v(c) be the second derivative of c**4/4 - 72*c**3 + 429*c**2/2 + 1931*c. Factor v(f).
3*(f - 143)*(f - 1)
Let v(c) be the first derivative of -c**6/90 - 7*c**5/60 - 11*c**4/36 - 5*c**3/18 + 39*c + 109. Let j(m) be the first derivative of v(m). Factor j(b).
-b*(b + 1)**2*(b + 5)/3
Determine x so that 0 - 815/6*x**2 - 203/2*x - 1/6*x**4 - 69/2*x**3 = 0.
-203, -3, -1, 0
Let d(h) be the third derivative of h**8/1008 - 3*h**2 + 38*h. Determine a so that d(a) = 0.
0
Let z = 711266 + -711264. Suppose 112/5*b + 1568/5 + 2/5*b**z = 0. What is b?
-28
Let j(n) be the third derivative of n**8/294 + 9*n**7/245 - 5*n**6/28 + 53*n**5/210 - 3*n**4/28 + 1769*n**2. What is d in j(d) = 0?
-9, 0, 1/4, 1
Factor -3558/7*d + 2/7*d**2 + 0.
2*d*(d - 1779)/7
Let x(t) = t**3 + 12*t**2 - 18*t - 2. Let s be x(-13). Factor 34*b**4 + 4*b**3 - 2*b**2 - 4*b - s*b**4 + 31*b**4.
2*b*(b - 1)*(b + 1)*(b + 2)
Factor -46/3*o**3 + o**4 - 102*o + 68*o**2 + 27.
(o - 9)*(o - 3)**2*(3*o - 1)/3
Let b(v) = -v**4 + 2*v**3 - v**2 - 3*v. Let y(m) be the first derivative of -m**5/5 + m**4/2 - m**3/3 - m**2 - 69. Let w(k) = -4*b(k) + 6*y(k). Factor w(q).
-2*q**2*(q - 1)**2
Let s(y) be the third derivative of -1/3*y**4 + 59*y**2 + 1/1092*y**8 - 2/39*y**6 + 0 - 5/26*y**5 + 0*y - 4/13*y**3 - 1/455*y**7. Suppose s(w) = 0. Calculate w.
-2, -1, -1/2, 6
Let h(a) be the third derivative of a**8/672 + a**7/20 + 5*a**6/16 - 361*a**5/120 + 17*a**4/2 - 12*a**3 - 672*a**2. Let h(c) = 0. What is c?
-12, 1
Suppose 1/4 + 21/8*w + 9/8*w**3 + 7/2*w**2 = 0. Calculate w.
-2, -1, -1/9
Let k(h) be the first derivative of 121 - 32/7*h**2 - 18/7*h**4 + 4/35*h**5 + 44/7*h**3 + 0*h. Factor k(j).
4*j*(j - 16)*(j - 1)**2/7
Let k = -2220 - -15548/7. Let p = -215/7 - -31. Factor 8/7 - k*b + p*b**2.
2*(b - 2)**2/7
Let v(k) be the second derivative of -k**6/15 + 3*k**5/10 + 7*k**4/3 - 4*k**3 - 40*k**2 + 7*k - 12. Factor v(n).
-2*(n - 5)*(n - 2)*(n + 2)**2
Let h(i) be the third derivative of -i**5/100 - 6*i**4/5 + 104*i**3/5 - 13014*i**2. Factor h(k).
-3*(k - 4)*(k + 52)/5
Let r(w) = -w**4 + 2*w**3 + 3*w**2 + 1. Let s(i) = -15*i**4 - 275*i**3 - 545*i**2 - 285*i + 10. Let q(o) = -10*r(o) + s(o). Solve q(b) = 0.
-57, -1, 0
Let s be (-315012)/(-1044) + (-2)/29. Let n = s + -301. Let 1/3*d**2 + d + 1/3*d**4 - d**3 - n = 0. What is d?
-1, 1, 2
Let c(a) be the second derivative of -a**4/30 + 618*a**3/5 - 1853*a**2/5 + 9369*a. Factor c(w).
-2*(w - 1853)*(w - 1)/5
Let x be (459/102)/((-9)/(-4)). Find l, given that -16/5 - 1/5*l**x + 8/5*l = 0.
4
Let h = 32 - 33. Suppose -2*q + n = -6, -5*n - 9 - 1 = 0. Let b(a) = -13*a**2 - 36*a - 12. Let g(c) = c**2. Let u(o) = h*b(o) + q*g(o). Solve u(k) = 0 for k.
-2, -2/5
Let b(k) be the third derivative of -28*k**2 + 0*k + 0 + 13/20*k**5 + 2*k**3 + 1/70*k**7 + 3/2*k**4 + 3/20*k**6. Factor b(r).
3*(r + 1)**2*(r + 2)**2
Factor 230*f**2 + 348480 - 835*f**2 - f**3 - 4*f**3 - 2030*f**2 - 345840*f.
-5*(f - 1)*(f + 264)**2
Suppose 0 = -49*l + 14*l + 140. Factor -35*k**3 - 45*k + 356*k**l + 353*k**4 + 75*k**2 - 704*k**4.
5*k*(k - 3)**2*(k - 1)
Let p = 136 + -136. Let c = p - -2.