d derivative of -u**8/112 + u**7/10 - 3*u**6/8 + 9*u**5/20 - 115*u**2. Find x such that w(x) = 0.
0, 1, 3
Let a(h) be the first derivative of h**4/16 - 3*h**3 + 81*h**2/2 + 264. Solve a(c) = 0.
0, 18
Solve 2/3*r**3 - 16/3*r**2 - 4 + 26/3*r = 0 for r.
1, 6
Suppose -83 = 3*m - 92. Let a(b) be the second derivative of 1/70*b**5 - m*b + 0 - 1/21*b**4 + 8/7*b**2 - 4/21*b**3. Factor a(h).
2*(h - 2)**2*(h + 2)/7
Let s(o) be the second derivative of -5*o**4/12 + 45*o**3/2 + 70*o**2 - 14*o - 1. Factor s(d).
-5*(d - 28)*(d + 1)
Let p be (-9)/(-7) + -1 - (-36)/21. Let u be (41/(-18) + p)*4 + 2. Find c such that 8/9*c - 2/9*c**2 - u = 0.
2
Let d(x) be the third derivative of 0 + 0*x + 1/3*x**4 + 0*x**3 + 1/60*x**5 - 35*x**2. Let d(i) = 0. Calculate i.
-8, 0
Solve 62 - 1123*g**2 - 457*g - 702 - 178*g + 1128*g**2 = 0 for g.
-1, 128
Let k(l) be the second derivative of 21*l**7 + 119*l**6/5 - 8*l**5 + 2*l**4/3 + 4*l + 16. Factor k(a).
2*a**2*(a + 1)*(21*a - 2)**2
Let t = -48 + 50. Factor 0*n**2 + 129*n + n**t - 131*n.
n*(n - 2)
Let m be -17*(-1)/7 + 6/(-14). Factor -3*x**2 - x**3 + 2*x**2 + 0*x**3 + x - x**4 + m*x**2.
-x*(x - 1)*(x + 1)**2
Let f = 621 - 619. Let o(q) be the second derivative of -1/15*q**6 + 1/42*q**7 + 0 + f*q - 1/6*q**3 + 1/6*q**4 + 0*q**5 + 0*q**2. Find s, given that o(s) = 0.
-1, 0, 1
Let 702*x**2 + 17*x**4 - 19*x**4 + 236*x**3 - 7664*x**2 = 0. What is x?
0, 59
Let r(n) = -n**2 - 6*n + 9. Let q be r(-7). Factor -12*u**3 + 56*u**4 - 2*u**2 - 12*u**q + 5*u**2 + u**2.
4*u**2*(2*u - 1)*(7*u + 2)
Let r(s) = 2*s**5 + 9*s**4 - 55*s**3 + 96*s**2 - 61*s. Let v(c) = c**5 - c**4 - c**3 + c. Let w(b) = 5*r(b) - 15*v(b). Factor w(a).
-5*a*(a - 4)**2*(a - 2)**2
Let g = 226/117 + -32/39. Let a be 63/54*16/21. Let g*c**2 + a - 2*c**4 - 8/3*c + 8/3*c**3 = 0. What is c?
-1, 2/3, 1
Let d(z) be the third derivative of 91*z**5/30 + z**4 - 4*z**3/3 + 65*z**2 + 2. Let d(c) = 0. Calculate c.
-2/7, 2/13
Let u(d) be the first derivative of -78/7*d**5 + 25/14*d**6 + 327/28*d**4 + 8*d**3 - 48/7*d + 23 - 66/7*d**2. Let u(h) = 0. What is h?
-2/5, 1, 4
Let i = -97727/96 - -1018. Let b = 143/96 + i. Factor 3*n - b*n**2 - 3/2.
-3*(n - 1)**2/2
Suppose 15/2*b**2 + 3/2*b - 15/2 - 3/2*b**3 = 0. What is b?
-1, 1, 5
Let k = 596 + -583. Let s = 2 - 0. Factor -k*z**s + 1 - 13*z**2 + 25*z**2.
-(z - 1)*(z + 1)
Suppose 11*h = 5 + 39. Let j = -2 + h. Determine a, given that -6/5*a**2 - 4/5 - j*a = 0.
-1, -2/3
Let p(h) be the first derivative of 5*h**5/4 - 5*h**4/6 - 25*h**3/6 + 5*h**2 - 38*h + 39. Let k(o) be the first derivative of p(o). Factor k(m).
5*(m - 1)*(m + 1)*(5*m - 2)
Let w(d) be the third derivative of d**6/300 - d**5/50 + d**4/20 - d**3/15 - 99*d**2. Suppose w(g) = 0. What is g?
1
Let s(d) be the first derivative of d**5/20 - d + 5. Let c(g) be the first derivative of s(g). Factor c(b).
b**3
Let m = -2 + 5. Suppose 5 = 2*p - m. Factor -2*i**3 - 3*i + p*i**2 - i + 0*i + 2*i.
-2*i*(i - 1)**2
Let q(d) = -d + 4. Let m(a) = -a**2 + 232*a - 234. Let r(v) = 3*m(v) + 3*q(v). Solve r(c) = 0.
1, 230
Factor -44*o - 4 - 11 + 2*o**2 + 2*o**3 - 9 + 28*o.
2*(o - 3)*(o + 2)**2
Let l(a) be the first derivative of 0*a**2 + 2*a**5 + 0*a + 5/6*a**6 - 47 - 5*a**4 - 40/3*a**3. Find k such that l(k) = 0.
-2, 0, 2
Let a(k) be the second derivative of k**7/98 - k**6/70 - 9*k**5/70 + 83*k. Let a(o) = 0. What is o?
-2, 0, 3
Let r = -4 + 6. Suppose r + 2 = 2*i. Find p such that 0*p**4 - 2*p**2 - 7*p**3 + 0*p**3 - i*p**4 + 3*p**3 = 0.
-1, 0
Let s(c) be the first derivative of 6*c**4/5 - 524*c**3/15 + 1408*c**2/5 + 484*c/5 - 208. Let s(j) = 0. Calculate j.
-1/6, 11
Let s be 74/111*(-9)/6*0. Let -2/3*r**2 + s - 4/3*r = 0. Calculate r.
-2, 0
Let j(d) = -5*d**4 - 41*d**3 + 321*d**2 + 754*d + 403. Let h(t) = 2*t**4 + t**3 + 2*t - 1. Let a(s) = -3*h(s) - j(s). Factor a(w).
-(w - 20)**2*(w + 1)**2
Suppose -5*g = -37 - 53. Factor -49*m**3 + 0*m**3 - g*m**4 + 3*m**4 - 8*m**2 + 12*m.
-m*(m + 3)*(3*m + 2)*(5*m - 2)
Suppose 5 = -329*a + 330*a. Let o(u) be the second derivative of 0*u**3 + 0*u**4 - 1/21*u**7 + u + 0*u**6 + 0 + 0*u**2 + 1/10*u**a. Factor o(m).
-2*m**3*(m - 1)*(m + 1)
Let m = -30 - -42. Factor y**3 + 4*y**3 - 8*y**3 + m - 12*y**2 - y**3 + 4*y.
-4*(y - 1)*(y + 1)*(y + 3)
Suppose 13*q - 3*q + 230 = 0. Let r be 0/q + 4/3. What is b in -4/3*b - b**4 + r*b**2 + 0 + 5/3*b**3 = 0?
-1, 0, 2/3, 2
Let l(w) be the first derivative of -w**5/40 + w**4/16 - 13*w**2/2 + 1. Let d(x) be the second derivative of l(x). Suppose d(b) = 0. Calculate b.
0, 1
Let t be 4/(-7)*((-6)/4 + -2). Let v be 10*-5*t/(-25). What is z in -3/5*z + 0 + 3/5*z**3 + 12/5*z**2 - 12/5*z**v = 0?
-1, 0, 1/4, 1
Let y(f) be the third derivative of 1/252*f**8 + 0*f**6 + 0*f**4 + 0*f - 1/105*f**7 + 0*f**3 + 12*f**2 + 0 + 1/90*f**5. Factor y(w).
2*w**2*(w - 1)**2*(2*w + 1)/3
Let u be (-10)/(-35) + (-136)/(-14). Suppose 2*a - u = -2. Factor 0*c**4 - c**2 + 2*c**a - c**4.
c**2*(c - 1)*(c + 1)
Let m(c) = -61*c**2 + 208*c + 54. Let l(f) = -92*f**2 + 312*f + 80. Let b(a) = 5*l(a) - 8*m(a). Factor b(u).
4*(u - 4)*(7*u + 2)
Let n(r) be the first derivative of 196/5*r - 22 + 28/5*r**2 + 4/15*r**3. Determine m so that n(m) = 0.
-7
Let u(q) be the second derivative of -q**4/90 + 4*q**3/45 - 4*q**2/15 + 12*q - 2. Factor u(v).
-2*(v - 2)**2/15
Let n(q) = 2*q**3 + 5*q**2 - 4*q + 3. Let d be n(-3). Let b(v) be the first derivative of 4/7*v**2 - 8/7*v - 2/21*v**3 + d. Factor b(m).
-2*(m - 2)**2/7
Let t = 6660 - 46590/7. What is l in 81/7*l**3 - 36/7*l - 24/7 + 48/7*l**4 + t*l**2 + 9/7*l**5 = 0?
-2, -1, 2/3
Let x(k) be the third derivative of -k**5/60 + k**4/4 + k**3 + 3*k**2. Let h be x(6). Factor h*i**3 + 43*i - 8*i**4 + 2*i**2 - 43*i.
-2*i**2*(i - 1)*(4*i + 1)
Let f(q) be the third derivative of 3*q**7/595 - 11*q**6/1020 - 7*q**5/170 + 13*q**4/68 - 16*q**3/51 + 319*q**2 - 2. Determine s, given that f(s) = 0.
-16/9, 1
Suppose 28*p - 89 + 5 = 0. Find u, given that 0*u**2 + 0 - 3/2*u**4 + p*u**3 + 0*u = 0.
0, 2
Let z(v) = -27*v**2 - 730*v - 43919. Let x(y) = -60*y**2 - 1461*y - 87837. Let q(n) = -4*x(n) + 9*z(n). Factor q(m).
-3*(m + 121)**2
Let n = 4285/12 + -357. Let u(b) be the third derivative of 0*b + 0*b**3 + n*b**4 + 1/60*b**5 + b**2 + 0. Factor u(w).
w*(w + 2)
Let m(u) be the third derivative of u**8/2184 - u**7/195 + 19*u**6/780 - 5*u**5/78 + 4*u**4/39 - 4*u**3/39 - 80*u**2. Factor m(x).
2*(x - 2)**2*(x - 1)**3/13
Let l(o) be the first derivative of -16/5*o - 6 - 1/15*o**3 - 4/5*o**2. Factor l(q).
-(q + 4)**2/5
Suppose 0 = -z - 4*o - 5, -2*o - 10 = -z - z. Factor -f**2 + 10 + z*f**2 - 6*f**2 - 6.
-4*(f - 1)*(f + 1)
Suppose -h + 0 = 5*f + 16, h - 3*f = 0. Let z be 2/5*(26/h - -6). Factor z*w + 1/3 + 1/3*w**2.
(w + 1)**2/3
Let d(b) be the third derivative of -b**8/15120 + b**6/540 - b**5/6 - 5*b**2. Let x(c) be the third derivative of d(c). What is p in x(p) = 0?
-1, 1
Find x such that -6*x - 18/5 - 14/5*x**2 - 2/5*x**3 = 0.
-3, -1
Let t be (-3)/(-18) - (-92)/48*2. Let w(u) be the first derivative of -3/2*u**6 + 3/5*u**5 - u**3 + 15/4*u**t + 0*u - 3*u**2 - 2. Find a, given that w(a) = 0.
-1, -2/3, 0, 1
Let p = -183 + 182. Let x(w) = -3*w + w - 5 + w**2 + 3. Let t(h) = -1. Let i(a) = p*x(a) + 2*t(a). Factor i(o).
-o*(o - 2)
Solve 2*m**4 + 35*m**2 + 6*m**4 - 11*m**2 - 11*m**4 - 6*m**3 = 0 for m.
-4, 0, 2
Let h(b) be the first derivative of b**5/5 + 13*b**4/4 + 50*b**3/3 + 28*b**2 - 157. Factor h(g).
g*(g + 2)*(g + 4)*(g + 7)
Suppose -38 = -5*n - 5*a - 3, 3*a - 6 = 0. Factor 5*z**2 + 12*z**3 + 12*z**4 - z**2 + 21*z**n - 17*z**5.
4*z**2*(z + 1)**3
Suppose 3 + 1 = 2*q. Let 1 - 8*c**3 + 7*c**3 + 2*c**3 + 5 + 8*c**q + 13*c = 0. Calculate c.
-6, -1
Let y(a) be the first derivative of 0*a + 23 + 4/3*a**3 - a**2 - 1/2*a**4. Suppose y(r) = 0. What is r?
0, 1
Let q(w) be the first derivative of -4/5*w**5 - 2/3*w**6 + 17 + 16*w - 16*w**2 + 4/3*w**3 + 5*w**4. Factor q(p).
-4*(p - 1)**3*(p + 2)**2
Factor -115*d - 207*d**2 + 70*d**2 + 63*d**2 + 71*d**2 - 8*d.
-3*d*(d + 41)
Let w(y) be the first derivative of -2*y**5/85 + y**4/34 + 4*y**3/17 - 4*y**2/17 - 16*y/17 - 95. Let w(q) = 0. Calculate q.
-2, -1, 2
Let k be (-69)/161 - (-195)/357. Factor k*g**2 + 8/17*g**3 + 0 + 0*g + 6/17*g**4.
2*g**2*(g + 1)*(3*g + 1)/17
Let m be 41/(-4) + -365 + 376. Factor 0 + m*y - 3/4*y*