+ 32 = 0, -7*d + 18 = -4*o. Determine i so that 2*i**d + 2/5*i**3 - 48/5 - 4/5*i = 0.
-4, -3, 2
Let z(a) be the second derivative of a**6/120 - a**5/60 - 65*a**2 - 65*a + 2. Let u(t) be the first derivative of z(t). Solve u(f) = 0.
0, 1
Let 139*d**2 + 73441997 - 73442117 - 20*d**3 - 116*d - 11*d**2 = 0. What is d?
-3/5, 2, 5
Let -7*j**4 + 21*j**4 - 82*j**2 - 9953*j**3 + 8*j + 8*j**4 + 9885*j**3 = 0. Calculate j.
-1, 0, 1/11, 4
Factor -2/19*k**2 - 13707848/19 + 10472/19*k.
-2*(k - 2618)**2/19
Suppose 14*r - 8 = 10*r. Factor -60*m**r + 22*m - 216 + 6*m**2 - 3*m**3 - 193*m + 12*m**2.
-3*(m + 3)**2*(m + 8)
Let d(k) = 22*k - 98. Let f be d(5). Factor -27*u - 9*u - f*u + 24*u**2 - 3*u**3.
-3*u*(u - 4)**2
Let f(n) = -n**3 + 5*n**2 + n - 2. Let o(a) = -14*a**3 + 42*a**2 + 110*a + 180. Let x(i) = -10*f(i) + o(i). Factor x(l).
-4*(l - 5)*(l + 2)*(l + 5)
Determine s, given that -196*s**3 - 3438*s**2 - 2*s + 665 + 420 + 2494*s**3 + 348 - 4*s**4 - 287 = 0.
-1/2, 1, 573
Let t(q) be the third derivative of -q**5/120 + 13*q**4/16 + 55*q**3/3 + q**2 - 8*q. Factor t(a).
-(a - 44)*(a + 5)/2
Let b = -31499 - -31508. Determine h so that 2/3*h**3 + 28/3 + 52/3*h - 1/3*h**4 + b*h**2 = 0.
-2, -1, 7
Determine f, given that -64 - 3*f**4 + 3 + 4 + 9 + 70*f - 70*f**3 + 51*f**2 = 0.
-24, -1, 2/3, 1
Solve -476*m**4 + 349936 - 4*m**5 + 1842800*m**3 - 1444864*m + 833808 + 271168*m**2 - 1852368*m**3 = 0 for m.
-68, 1, 8
Suppose -88 = -15*c + 17. Find j, given that -40 + 18 - c - 23 + 30*j - 2*j**2 = 0.
2, 13
Let b be (-8)/(58/1914 + (-661)/33). Find m such that -b + 2*m**2 - 8/5*m = 0.
-1/5, 1
Suppose -f + t - 54 = 0, 4*f - 2*t + 219 = t. Let z = 117 + f. Factor 22*i**2 - 54*i**2 - 12 - 16*i + z*i**2.
4*(i - 1)*(7*i + 3)
Let a be (1 + -16)*((-3)/25 - 226/2825). Let g(j) be the third derivative of -5/24*j**4 - 5/3*j**a + 0*j - 13*j**2 + 1/12*j**5 + 0. Factor g(l).
5*(l - 2)*(l + 1)
Let t(f) = 45*f + 625. Let c be t(-14). Let r(d) = -2*d**2 + 14*d + 16. Let j(m) = -15 + 7 + 3*m**2 - 15*m - 9. Let h(q) = c*r(q) - 4*j(q). Factor h(l).
-2*(l + 2)*(l + 3)
Let b be (1/(-8)*-6)/((-33)/(-132)). Let a(h) be the second derivative of 2/3*h**2 + 0 - 21*h + 1/36*h**4 - 5/18*h**b. Suppose a(o) = 0. What is o?
1, 4
Let c(a) be the second derivative of -a**4/30 + 26*a**3/15 - 6198*a. Factor c(m).
-2*m*(m - 26)/5
Factor -601560/7*h**2 - 3680/7*h**4 + 74500/7*h**3 - 163296 + 213840*h + 64/7*h**5.
4*(h - 18)**3*(4*h - 7)**2/7
Find m, given that 37 + 110*m**2 - 106*m**2 - 113 + 3*m + 147*m = 0.
-38, 1/2
Let l(j) be the first derivative of 3*j**5/5 - 45*j**4/4 + 39*j**3 - 111*j**2/2 + 36*j + 659. Let l(q) = 0. Calculate q.
1, 12
Suppose 12 = 3*y, b + 5*y - 5 - 3 = 0. Let p be b/(-9)*(1 - 161/182). Determine f so that -2/13*f**2 + p + 0*f = 0.
-1, 1
Let r(c) be the second derivative of c**4/20 + 31*c**3/10 - 153*c**2/5 - 8*c - 13. Factor r(d).
3*(d - 3)*(d + 34)/5
Let v be (((-616)/(-32))/(-11) + (-66)/(-24))*2. Factor 242/7 + 44/7*p + 2/7*p**v.
2*(p + 11)**2/7
Let z(u) be the third derivative of -u**5/180 - 41*u**4/72 + 385*u**3/9 - 3*u**2 + 614*u. Solve z(l) = 0.
-55, 14
Let s(o) be the first derivative of o**6/15 - 2*o**5/25 - 3*o**4/10 + 2*o**3/15 + 2*o**2/5 + 484. Determine z, given that s(z) = 0.
-1, 0, 1, 2
Let o be 507 - (5 + 81/(-15)). Let y = o + -507. Let 0 + 6/5*g**2 - y*g = 0. What is g?
0, 1/3
Solve -3/2*o**3 + 0 + 0*o - 3/4*o**5 - 21/8*o**4 + 3/2*o**2 = 0 for o.
-2, 0, 1/2
Let j = 1325 + -1283. Let s be (3 - 2) + (-35)/j. Factor -1/3*d - 1/2 + 2/3*d**2 - s*d**4 + 1/3*d**3.
-(d - 3)*(d - 1)*(d + 1)**2/6
Let g(o) be the third derivative of -32/3*o**3 + 0 + 0*o - 1/30*o**5 + 3/2*o**4 - 41*o**2. Determine w so that g(w) = 0.
2, 16
Solve 4*k**4 - 6*k**4 + 4*k**4 + 2150*k**2 + 66*k**3 - 2026*k**2 = 0.
-31, -2, 0
Let k be ((-2)/5)/(9/5*(-2328)/5238). Factor -1/4*a**3 + 3/4*a + 0*a**2 + k.
-(a - 2)*(a + 1)**2/4
Let n(u) = -u**2 + u. Let h(a) = -a**3 - 34*a**2 + 105*a - 70. Let q(l) = h(l) - 2*n(l). Factor q(t).
-(t - 2)*(t - 1)*(t + 35)
Suppose 2*f**4 - 2432*f**2 - 853 - 959 + 143*f**2 + 3418*f + 218*f - 5*f**4 + 468*f**3 = 0. What is f?
1, 2, 151
Let d be (-49)/(-285) - (98/(-70) - 429/(-285)). Let x(k) be the second derivative of -1/6*k**4 + 0 + 0*k**2 + d*k**6 + 1/5*k**5 - 2/3*k**3 + 18*k. Factor x(q).
2*q*(q - 1)*(q + 1)*(q + 2)
Let c(j) = 4*j**2 + 2*j + 1. Let v be c(-1). Suppose -3*n**3 + v - 9*n**2 + 9 + 36*n - 36*n = 0. What is n?
-2, 1
Suppose 63 = 3*f + 9*t, -2*f = 3*t - 17 - 4. Let c(s) be the third derivative of 15*s**2 - 1/15*s**5 - 54*s**3 + f*s + 3*s**4 + 0. Factor c(o).
-4*(o - 9)**2
Factor 3/5*t**2 - 432 - 417/5*t.
3*(t - 144)*(t + 5)/5
Solve 36 - 21/4*x**4 + 171/4*x**3 - 3/4*x**5 - 42*x - 123/4*x**2 = 0.
-12, -1, 1, 4
Let c(a) = -16*a**2 - 96*a. Let r be c(-6). Let u(n) be the third derivative of 0 - 24*n**2 - 1/3*n**3 + r*n + 5/48*n**4 - 1/120*n**5. Factor u(z).
-(z - 4)*(z - 1)/2
Let x(w) = 8*w**2 - 3*w + 2. Let t be x(1). Factor 3*h**2 + 3*h**4 - 4*h**4 - t*h + 9*h.
-h*(h - 2)*(h + 1)**2
Let g be 3/(-1) - (-2 - 5). Suppose -2*x - 4*d = 6, -11*x + 6*x - g*d = -3. Suppose 15*l + 10*l**x - 5/2 - 45/2*l**2 = 0. What is l?
1/4, 1
Let m(y) be the second derivative of 1/18*y**4 + 0*y**2 - 1/180*y**6 + 0 - 13*y - 1/36*y**5 - 1/6*y**3. Let q(g) be the second derivative of m(g). Factor q(a).
-2*(a + 2)*(3*a - 1)/3
Let m be (-34)/(-10) + 12/(-30). Suppose -4*r = -c - 22, 4*r - 28 = -5*c + m*c. Let r - 6*u**2 + 6 + 0 + 2*u**2 + 8*u = 0. What is u?
-1, 3
Let c(s) be the first derivative of -5*s**4/4 + 305*s**3/3 + 645*s**2/2 - 945*s + 1276. Factor c(b).
-5*(b - 63)*(b - 1)*(b + 3)
Let r(u) be the second derivative of u**6/1080 - u**5/120 - 5*u**4/36 + 20*u**3/3 + 135*u. Let a(f) be the second derivative of r(f). Factor a(w).
(w - 5)*(w + 2)/3
Let n be ((-665)/(-399))/((-10)/(-18)). Suppose 5 = q + 4*q, -5*m = 5*q - 380. Let 3*h**n - m*h**2 + 2*h**3 + 90*h**2 - 20 = 0. Calculate h.
-2, 1
Let c(f) = -37*f - 72. Let g be c(-2). Let n be 2*2/(-7)*(-7)/g. Factor 0 + 2/3*z**3 - 2/3*z**4 + 2/3*z**n + 0*z - 2/3*z**5.
-2*z**2*(z - 1)*(z + 1)**2/3
Let a(x) = 15*x**2 + 12*x**5 + 206*x**3 - 197*x**3 - 9*x**5 - 21*x - 15*x**4. Let y(z) = -z. Let p(n) = a(n) - 9*y(n). Factor p(g).
3*g*(g - 4)*(g - 1)**2*(g + 1)
Let o be ((-27)/459)/((-1)/53). Let w = o - 21/34. Find y, given that 0 + w*y**2 - 5/2*y = 0.
0, 1
Let t(r) be the first derivative of -r**5 - 25*r**4/4 + 95*r**3 - 475*r**2/2 + 220*r - 1446. Solve t(c) = 0.
-11, 1, 4
Let -382/17*c + 8/17*c**5 - 186/17*c**4 + 22*c**3 + 6*c**2 + 84/17 = 0. Calculate c.
-1, 1/4, 1, 2, 21
Let y(w) = 7*w**2 + 7*w - 7. Let q be y(1). Let c be 22/q + 2 + 45/(-21). Factor -8*i**3 + 7*i**3 + 7*i**3 - 3*i**5 - c*i.
-3*i*(i - 1)**2*(i + 1)**2
Let p(m) be the first derivative of -21*m**2 + 56*m**4 + 201 + 25*m**3 + m + 30*m**3 - 53*m**4 - m. Suppose p(v) = 0. Calculate v.
-14, 0, 1/4
Let r(h) be the first derivative of h**6/60 + h**5/20 - 7*h**4/24 + h**3/3 + 68*h - 94. Let m(z) be the first derivative of r(z). Factor m(c).
c*(c - 1)**2*(c + 4)/2
Let s be 0 + 3 + -2 + 7. Factor 2*w**2 - 4*w**3 + 0*w**2 + s*w - 2*w**2 - 4*w**2.
-4*w*(w - 1)*(w + 2)
Let r(k) be the third derivative of -k**7/525 + 13*k**6/50 + 997*k**2. Factor r(d).
-2*d**3*(d - 78)/5
Let w(r) be the first derivative of -5*r**3/3 - 795*r**2/2 - 790*r + 86. Factor w(g).
-5*(g + 1)*(g + 158)
Let a(m) be the first derivative of m**6/30 + m**5/5 - 2*m**4/3 - m**2 - 4*m + 44. Let y(s) be the second derivative of a(s). Find h, given that y(h) = 0.
-4, 0, 1
Let w(t) = 5*t + 17 - 42 + 17. Let s be w(2). Factor 0*k - 11*k - 1 - 4*k**s - 9*k + 25.
-4*(k - 1)*(k + 6)
Let p(h) = -2*h**3 + 63000*h**2 + 220500000*h + 257250000064. Let l(q) = q**3 - 21000*q**2 - 73500000*q - 85750000024. Let d(o) = 8*l(o) + 3*p(o). Factor d(t).
2*(t + 3500)**3
Factor -26896 + 78*z**2 - 2706*z - 1/2*z**3.
-(z - 82)**2*(z + 8)/2
Let f(j) be the first derivative of -j**4/12 + 2645*j**3/3 - 6996025*j**2/2 + 18504486125*j/3 - 13465. Suppose f(z) = 0. Calculate z.
2645
Suppose -14 = -5*v + 1. Suppose 3*g - v - 15 = 0. Factor -31*f**2 - g*f + 0*f + 34*f**2.
3*f*(f - 2)
Let z(b) be the third derivative of -7*b**5/120 + b**4/2 - 5*b**3/3 + 2*b**2 - 546. Suppose z(w) = 0. What is w?
10/7, 2
Let x = 6629/68932 + 33/3628. Factor 0 - x*h**3 - 