c**2 - 44 - 5/3*c**3. Find d, given that u(d) = 0.
1, 4
Let z be (708/(-72))/59 + 7/10. Solve 2/15*p**2 - 2/3*p**4 + z + 14/15*p**3 + 2/15*p**5 - 16/15*p = 0 for p.
-1, 1, 2
Let y = -8902 + 26959/3. Let l = y - 84. What is j in l*j**3 + 0 - 1/3*j + 1/6*j**2 - 1/6*j**4 = 0?
-1, 0, 1, 2
Let m(f) be the first derivative of f**4/4 - 23*f**3/3 + 19*f**2/2 + 66*f + 184. Let k be m(22). Factor -i**2 - 1/3*i**3 + k*i + 0.
-i**2*(i + 3)/3
Let u = -96801 + 290459/3. Let -80/3 - 44/15*q**2 + 2/15*q**3 + u*q = 0. Calculate q.
2, 10
Let t(m) = 37*m**2 + 205*m + 69 + 5*m**2 - 100*m. Let f(c) = c**3 - 41*c**2 - 102*c - 68. Let d(w) = -3*f(w) - 4*t(w). What is b in d(b) = 0?
-12, -2, -1
Let c(w) be the third derivative of w**5/390 + 3*w**4/4 - 118*w**3/39 - 422*w**2. Find m, given that c(m) = 0.
-118, 1
Let b(v) be the first derivative of -v**5/48 - 5*v**4/96 - 25*v**2/2 + 6. Let m(n) be the second derivative of b(n). Factor m(c).
-5*c*(c + 1)/4
Let k(j) be the first derivative of 2*j**3 - j**2 + 0*j + 39 + 2/5*j**5 - 3/2*j**4. Let k(d) = 0. Calculate d.
0, 1
Let i = -25 - -13. Let z = i + 14. Factor 4*n**2 - 8*n**3 + 3*n**3 + 11*n**z - n + 21*n.
-5*n*(n - 4)*(n + 1)
Let v = 8/8953 - -1289032/223825. Let d = v + -983/175. Factor -d + 0*o + 0*o**3 - 1/7*o**4 + 2/7*o**2.
-(o - 1)**2*(o + 1)**2/7
Suppose w + 1 = 0, 4*q + 866 + 797 = -3*w. Let g = 417 + q. Find m such that -2/13*m - 2/13 - 2/13*m**4 + 4/13*m**g - 2/13*m**5 + 4/13*m**3 = 0.
-1, 1
Let y(r) be the second derivative of -3/4*r**4 + 0*r**2 - r**3 - 11*r + 0 - 3/20*r**5. Factor y(o).
-3*o*(o + 1)*(o + 2)
Let c be (-3)/15*19/(1292/(-85)). Solve 11/2*o + c*o**4 + 15/4 + 0*o**2 - 3/2*o**3 = 0 for o.
-1, 3, 5
Let z = 16116 + -16116. Let p(m) be the third derivative of 1/80*m**6 + 1/60*m**5 + z*m + 0*m**3 + 24*m**2 + 0 - 1/48*m**4. Factor p(i).
i*(i + 1)*(3*i - 1)/2
Let x(u) be the first derivative of u**3 + 87*u**2 + 648*u - 760. Solve x(c) = 0.
-54, -4
Let g(x) be the third derivative of -x**5/60 + 181*x**4/24 + 91*x**3/3 + 2403*x**2 + x. Factor g(i).
-(i - 182)*(i + 1)
Let d = 136690 - 136688. Factor 0*j**d - 2/21*j**3 - 4/21 + 2/7*j.
-2*(j - 1)**2*(j + 2)/21
Let d = -112 - -128. Factor -f**3 + 8591 - 1323*f + 47*f**2 + d*f**2 + 670.
-(f - 21)**3
Let p(u) be the first derivative of u**6/80 + u**5/8 + 3*u**4/8 + 81*u**2/2 - 27. Let w(o) be the second derivative of p(o). Factor w(n).
3*n*(n + 2)*(n + 3)/2
Let o be ((-20)/(-16))/((-210)/(-504)). Let m(i) be the first derivative of 1/9*i**o + 9 + 1/2*i**2 + 0*i. Factor m(a).
a*(a + 3)/3
Let o(p) = -23*p**2 + 353*p + 397. Let m(d) = -20*d**2 + 354*d + 388. Let j(l) = 6*m(l) - 4*o(l). Solve j(v) = 0.
-1, 185/7
Let b(s) be the first derivative of -7*s**4/4 + 43*s**3/8 - 15*s**2/4 + 184*s - 164. Let c(i) be the first derivative of b(i). What is z in c(z) = 0?
2/7, 5/4
Factor 20/3*m + 2/3*m**2 + 0.
2*m*(m + 10)/3
Let r(u) be the third derivative of -5*u**8/336 - 5*u**7/14 + 37*u**6/12 - 7*u**5/2 - 365*u**4/24 + 95*u**3/2 + 5*u**2 + 116. Solve r(s) = 0 for s.
-19, -1, 1, 3
Let p(a) be the first derivative of 7/4*a + 85 + 5/6*a**2 - 1/36*a**3. Factor p(l).
-(l - 21)*(l + 1)/12
Let q(w) be the third derivative of -1/630*w**5 + 0*w + 1/28*w**4 + 0 + 85*w**2 - 2/9*w**3. Solve q(i) = 0 for i.
2, 7
Let x(b) be the third derivative of b**5/60 - b**4/3 - 5*b**3/2 - 14*b**2. Let k be x(10). Determine y, given that -3*y**3 - k*y**3 + 15*y**3 - 2*y**3 = 0.
0
Let f(g) be the first derivative of g**6/24 + 31*g**5/20 + 13*g**4 + 146*g**3/3 + 94*g**2 + 92*g + 1874. Let f(x) = 0. Calculate x.
-23, -2
Suppose -41418/7*i - 1413/7*i**2 + 10443/7 - 12/7*i**3 = 0. Calculate i.
-59, 1/4
Let k(g) = g**3 - 4*g**2 + 12*g + 32. Let a be k(-2). Let y be (4/a)/((-59)/(-32) + -2). Suppose y*h + 0 + 2/5*h**2 = 0. What is h?
-4, 0
Suppose 5*j = 99*h - 94*h + 20, h + 4 = -25*j. Let 3*u**3 + j + 0*u**4 + 0*u**2 - 3/2*u - 3/2*u**5 = 0. Calculate u.
-1, 0, 1
Let a(r) = r**3 + 26*r**2 - 26*r + 43. Let v be a(-27). Let v*k - k**2 - 12*k - 10*k = 0. What is k?
-6, 0
Let g(o) be the third derivative of -o**8/168 - o**7/21 + 5*o**6/4 - 9*o**5/2 - 45*o**4/2 + 216*o**3 + 116*o**2 - 3*o. Factor g(c).
-2*(c - 3)**3*(c + 2)*(c + 12)
Let d(s) be the second derivative of s**7/4200 - s**6/450 - 7*s**3/6 - 3*s**2/2 - 16*s. Let v(u) be the second derivative of d(u). Factor v(o).
o**2*(o - 4)/5
Let o = -726783/2 + 363468. Factor -o*z**2 - 21/2*z**3 - 18 - 84*z.
-3*(z + 1)*(z + 6)*(7*z + 2)/2
Factor -35085*p**4 + p**2 - 5*p**5 - 79*p**3 + 35070*p**4 - 6*p**2 + 64*p**3.
-5*p**2*(p + 1)**3
Factor 462*h + 57*h**3 + 1/6*h**4 - 694/3 - 1727/6*h**2.
(h - 2)**2*(h - 1)*(h + 347)/6
Let g(h) be the second derivative of 0*h**3 - 1/168*h**7 + 1/120*h**6 - 1/4*h**4 - 29 + 1/10*h**5 + 2*h + 0*h**2. Factor g(q).
-q**2*(q - 2)**2*(q + 3)/4
Let n(q) be the third derivative of -q**6/90 - 7*q**5/30 - 2*q**4 + 13*q**3/2 - 2*q**2 - 4. Let k(g) be the first derivative of n(g). Let k(o) = 0. Calculate o.
-4, -3
Suppose -24*s + 116 = 5*s. Suppose 4*m = 2*m - 4*x - 12, s*m - 5*x - 41 = 0. Determine p so that 1/8*p**m + 0 + 5/8*p**2 + 1/4*p + 1/2*p**3 = 0.
-2, -1, 0
Let f(d) = d**3 - 5*d**2 + 2*d - 13. Let g be f(5). Let j(q) = 3*q**3 - 9*q**2 + 15*q - 3. Let r(m) = 2*m**2 + m - 1. Let k(i) = g*r(i) + j(i). Solve k(x) = 0.
0, 1, 4
Suppose 406 - 63 = 739*s - 213*s - 1235. Factor 8/3*u + 0 + 2/3*u**4 - 2*u**s + 0*u**2.
2*u*(u - 2)**2*(u + 1)/3
Let z(q) be the second derivative of 0 - 2888*q**3 - 38*q**4 - 1/5*q**5 - 143*q - 109744*q**2. Factor z(y).
-4*(y + 38)**3
Let k = 2/1667885 + 400292/333577. Determine a so that -k*a**3 + 48/5 + 12/5*a**2 - 2/5*a**4 + 56/5*a = 0.
-2, 3
Let t(n) be the second derivative of -n**6/70 - 117*n**5/70 - 507*n**4/7 - 8788*n**3/7 + 1346*n. Factor t(i).
-3*i*(i + 26)**3/7
Solve 124 - 114/5*a - 2/5*a**2 = 0 for a.
-62, 5
Let f be 9 - 25/(20/(-4)). Suppose 18*i = f*i + 8. What is n in -26*n - 5*n**i - 13*n**2 - 4*n**2 - 19 + 15 = 0?
-1, -2/11
Let y(h) be the second derivative of -h**7/42 + h**6/6 - 3*h**5/10 - h**4/3 + 4*h**3/3 + 120*h. Let y(f) = 0. What is f?
-1, 0, 2
Let r be -40*13/(-650) + 21/(-35). Solve 9/5*a**2 + r*a**4 + 7/5*a**3 - 2 - 7/5*a = 0 for a.
-5, -2, -1, 1
Let a(f) be the first derivative of -f**6/2 + 6*f**4 - 6*f**3 - 21*f**2/2 + 18*f + 1445. Determine k so that a(k) = 0.
-3, -1, 1, 2
Let o = -90970/21 - -4332. Let r(d) be the second derivative of o*d**7 - 8/15*d**6 + 4*d**2 - 11*d + 2/3*d**4 + 0 + 4/5*d**5 - 10/3*d**3. Solve r(p) = 0 for p.
-1, 1, 2
Let z be (-1)/(-5) + (-7557)/10. Let g = 760 + z. Factor 1/2*f**2 - g*f + 4.
(f - 8)*(f - 1)/2
Factor -21420*j**3 + 863821*j**2 + 0 - 1685159/2*j - 1/2*j**5 + 179*j**4.
-j*(j - 119)**3*(j - 1)/2
Let k(v) = 6*v**3 + 67*v**2 + 126*v - 583. Let s(i) = 3*i**3 + 33*i**2 + 63*i - 291. Let o be (66/55)/((-6)/(-15)). Let c(b) = o*k(b) - 5*s(b). Factor c(g).
3*(g - 2)*(g + 7)**2
Suppose -113*r - 129*r + 968 = 0. Let c(a) be the second derivative of 6*a**2 - 1/3*a**r + 4/3*a**3 - 46*a + 0. Let c(g) = 0. What is g?
-1, 3
Factor 0 + 486/17*s**3 + 29282/17*s - 29766/17*s**2 - 2/17*s**4.
-2*s*(s - 121)**2*(s - 1)/17
Solve -36504 + 153/2*x**2 + 1/4*x**3 + 5616*x = 0.
-156, 6
What is u in 156/7*u**3 + 3/7*u**5 + 36/7*u**4 + 306/7*u**2 + 90/7 + 39*u = 0?
-5, -3, -2, -1
Suppose -123 = -37*y + 25. Let x be (-2 - -6 - 0 - y)/4. Find k, given that 9/5*k**3 + 4/5*k**4 + x + 1/10*k**5 - 27/10*k + 0*k**2 = 0.
-3, 0, 1
Suppose 15*r = 288 - 93. Suppose -26*z + 39 = -r*z. Factor -6/7*d**2 + 2/7*d**z + 2/7*d**4 - 2/7*d + 4/7.
2*(d - 1)**2*(d + 1)*(d + 2)/7
Let t(b) = 115*b**3 + 35*b**2 - 170*b - 160. Let p(k) = 36*k**3 + 11*k**2 - 53*k - 50. Let j(a) = 35*p(a) - 11*t(a). Factor j(u).
-5*(u - 2)*(u + 1)**2
Let t(h) = 180*h**2 - 4836*h + 4980. Let r(q) = 14*q**2 - 373*q + 383. Let u(c) = 27*r(c) - 2*t(c). Solve u(y) = 0.
1, 127/6
Determine x so that 0 + 8/5*x + x**4 - 1/5*x**5 - 6/5*x**3 - 4/5*x**2 = 0.
-1, 0, 2
Let j be 2*(11 + (-1 - 5)). Let n be -5 - 889/j*-1*2. Suppose -216/5*b**2 + n*b - 1296/5 + 24/5*b**3 - 1/5*b**4 = 0. Calculate b.
6
Let m = -2649 + 2653. Let i(q) be the first derivative of 4/5*q - 1/10*q**m + 1/5*q**2 - 4/15*q**3 + 24. Factor i(y).
-2*(y - 1)*(y + 1)*(y + 2)/5
Let p(h) be the second derivative of 3*h**5/20 - 211*h**4/4 - h**3/2 + 633*h**2/2 - 10955