t v be (66/(-61776)*-96)/((-2)/(-143)). Let -2/9*g**4 - 22/9*g**3 + 100/9 - v*g**2 - 10/9*g = 0. Calculate g.
-5, -2, 1
Let p(c) be the first derivative of 0*c + 0*c**2 + 0*c**4 - 8/15*c**3 + 1/15*c**6 - 48 + 6/25*c**5. What is i in p(i) = 0?
-2, 0, 1
Let m(i) = i**3 - i - 1. Let p = -64 + 66. Let d(l) = -83 + 78 - l**3 + 2*l**3 - l + 3*l**p. Let h(g) = -2*d(g) + 4*m(g). Suppose h(y) = 0. Calculate y.
-1, 1, 3
Let u(m) = 17*m + 7. Let t be u(11). Suppose -206 = -6*y - t. Let 11*h + 1/3 + 121*h**y + 1331/3*h**3 = 0. What is h?
-1/11
Let d(w) be the third derivative of -w**6/600 - 3*w**5/25 - 23*w**4/40 - 17*w**3/15 - 2*w**2 + 7*w + 123. Determine s, given that d(s) = 0.
-34, -1
Suppose -b + 16 + 12 = 2*n, -5*b = 2*n - 12. Suppose -2*y - 24 = -n, -4*i = 2*y - 12. Let i*d**2 - 15/2*d + 5/2*d**3 + 0 = 0. What is d?
-3, 0, 1
Let l(b) be the first derivative of -2*b**5/25 + 3*b**4/10 + 2*b**3/15 - 3*b**2/5 + 2336. Factor l(v).
-2*v*(v - 3)*(v - 1)*(v + 1)/5
Let y(f) = -1017*f - 11182. Let v be y(-11). Let i(h) be the second derivative of -243/4*h**2 + 3/40*h**v + 63/4*h**3 + 17/8*h**4 + 0 - 19*h. Factor i(k).
3*(k - 1)*(k + 9)**2/2
Let a(n) be the second derivative of 0*n**2 + 1/54*n**4 - 1/30*n**5 - 5*n - 4 + 1/189*n**7 - 1/135*n**6 + 2/27*n**3. Let a(v) = 0. What is v?
-1, 0, 1, 2
Let t(z) be the third derivative of -z**7/630 + 17*z**6/180 - 16*z**5/9 + 64*z**4/9 - 2*z**2 + 385. Factor t(c).
-c*(c - 16)**2*(c - 2)/3
Let s(n) = 8*n**3 + 879*n**2 + 5181*n + 7701. Let j(l) = -105*l**3 - 11425*l**2 - 67355*l - 100115. Let x(o) = -3*j(o) - 40*s(o). Factor x(h).
-5*(h + 3)**2*(h + 171)
Let a = -707280 + 2829125/4. Solve a*g + 1/2 + g**2 + 1/4*g**3 = 0 for g.
-2, -1
Let a(g) be the second derivative of 0 + 0*g**2 + 0*g**3 - 1/100*g**5 + 1/20*g**4 - 1/50*g**6 + 1/210*g**7 + 22*g. Factor a(d).
d**2*(d - 3)*(d - 1)*(d + 1)/5
Let u(j) = 17*j**2 + 1451*j + 1394. Let k(b) = -45*b**2 - 3870*b - 3720. Let n(l) = -8*k(l) - 21*u(l). Let n(o) = 0. What is o?
-162, -1
Let z(a) be the second derivative of a**5/30 - a**4/3 - 4*a**3 - 40*a**2/3 + 1548*a. Determine x, given that z(x) = 0.
-2, 10
Let x(j) = 5*j**3 - 395*j**2 + 4000*j - 15. Suppose 0 = -3*l + 46 - 37. Let a(c) = -2*c**3 + 197*c**2 - 2000*c + 9. Let b(g) = l*x(g) + 5*a(g). Factor b(q).
5*q*(q - 20)**2
Let j(k) be the first derivative of -k**5/60 + 143*k**4/48 - 140*k**3 - 216*k**2 + 192. Determine r, given that j(r) = 0.
-1, 0, 72
Let r(l) be the first derivative of -l**3/12 + 57*l**2/4 - 113*l/4 - 7032. Solve r(b) = 0 for b.
1, 113
Let z(w) be the first derivative of 3*w**6/7 - 76*w**5/35 - 181*w**4/14 + 4*w**3/7 + 260*w**2/7 - 16*w - 78. Let z(o) = 0. Calculate o.
-2, 2/9, 1, 7
Let w = -8894 - -8894. Let y(d) be the third derivative of -24*d**2 + 1/105*d**5 + w*d**4 + 0 + 0*d**3 + 0*d. Find v, given that y(v) = 0.
0
Let i = -1182 - -1184. Let z = 380/21 - 108/7. Factor -4/3*x**3 + 4*x + 0 - z*x**i.
-4*x*(x - 1)*(x + 3)/3
Let v(r) be the first derivative of -3*r**4/4 - 44*r**3/3 - 86*r**2 - 96*r - 1561. Factor v(q).
-(q + 6)*(q + 8)*(3*q + 2)
Let h(k) = k**2 + 6*k + 8. Suppose -17 + 62 = -9*b. Let z be h(b). Solve 135 + 3*d**z - 5*d**4 - 106*d**2 + 36*d**3 + 16*d**2 + d**3 = 0 for d.
-1, 3
Let n(h) be the second derivative of -1/10*h**4 - 9/100*h**5 + 0*h**3 - 13 + 0*h**2 - 1/50*h**6 + 6*h. Solve n(t) = 0 for t.
-2, -1, 0
Suppose 13 + 451 = 58*i. Let t(m) be the first derivative of 5 + 2*m**2 - i*m + 2/3*m**3 - 1/4*m**4. Suppose t(a) = 0. Calculate a.
-2, 2
Factor -484/3 - 1540/3*d - 1225/3*d**2.
-(35*d + 22)**2/3
Let d(g) be the third derivative of 2*g**7/525 - 37*g**6/600 - 37*g**5/150 - 11*g**4/40 - 723*g**2. Determine h so that d(h) = 0.
-1, -3/4, 0, 11
Let q = 5981/40 + -747/5. Let y(z) be the third derivative of -1/30*z**5 + 1/120*z**6 + 17*z**2 + 0*z + 0*z**3 - q*z**4 + 0. Factor y(d).
d*(d - 3)*(d + 1)
Factor -7*u**4 + 21*u**3 - 87050 + 43492 - 395*u**2 - 266*u - 205*u**3 + 43510.
-(u + 1)**2*(u + 24)*(7*u + 2)
Let b = -1139933/5 - -227987. Factor b*m**4 - 4/5*m**2 + 2/5*m**3 + 0*m + 0.
2*m**2*(m - 1)*(m + 2)/5
Let d(m) be the first derivative of m**6/6 + m**5 - 20*m**3/3 - 8*m**2 - 6892. Solve d(a) = 0.
-4, -2, -1, 0, 2
Let x be (-42)/315*15/(-18). Let z(n) be the first derivative of 0*n + x*n**3 + 1/6*n**2 - 12. Let z(g) = 0. Calculate g.
-1, 0
Let i be 44 + -1594 - 14/2 - 0. Let c = i + 14014/9. Suppose 0 + 4/9*w**2 + 0*w + 8/9*w**3 + c*w**4 - 1/3*w**5 = 0. What is w?
-1, -2/3, 0, 2
Suppose 1/11*f**3 - 13/11*f - 7/11 - 5/11*f**2 = 0. Calculate f.
-1, 7
Let v be (3 + 48/(-6) + 5)/1. Factor 16*x**2 + v*x + 3*x - 3*x + 3*x + x.
4*x*(4*x + 1)
Let m be 360/3060 - 130/(-340). Factor 0 + 1/2*c**4 + 0*c + c**3 + m*c**2.
c**2*(c + 1)**2/2
Let y(r) be the second derivative of -r**5/190 + 5*r**4/19 + 4*r**3/57 - 120*r**2/19 - 1638*r. Determine c, given that y(c) = 0.
-2, 2, 30
Let p(u) = -u**3 - 19*u**2 - 20*u - 31. Let a be p(-18). Let 5*k - 5*k**3 + 15 + a*k**2 + 42*k - 22*k = 0. Calculate k.
-1, 3
Let s be (-10)/4*60/(-50). Let z(b) = b**2 + 3*b - 7. Let o(m) = -3*m**2 - 5*m + 15. Suppose 4*p - 26 = 2. Let t(h) = p*z(h) + s*o(h). Factor t(y).
-2*(y - 2)*(y - 1)
Let b(d) be the second derivative of -d**4/24 + 413*d**3/3 - 170569*d**2 - 3046*d. Solve b(p) = 0 for p.
826
Let u(x) be the third derivative of -4*x**2 + 0*x**4 + 0*x**5 + 0 - 1/60*x**6 - 11*x + 2/315*x**7 + 0*x**3 + 1/504*x**8. Factor u(r).
2*r**3*(r - 1)*(r + 3)/3
Let g(i) be the third derivative of -i**6/24 - 55*i**5/12 - 1305*i**4/8 - 1215*i**3/2 - 1226*i**2. Factor g(b).
-5*(b + 1)*(b + 27)**2
Let j be -3 + 11 - (-2278 + -3). Suppose -2300*y = -j*y. Determine w, given that -3/2*w**2 + 15/2*w + y = 0.
0, 5
Let g be (40/44)/(6480/9504). Find i, given that -52 + g*i**2 - 40/3*i = 0.
-3, 13
Suppose -d - 2*x = -25, -32 = -d + 2*x + 9. Let p = 38 - d. Factor -7*t**p + 9*t**3 - t**5 + 11*t**4 - 5*t**4 + 5*t**5.
-3*t**3*(t - 3)*(t + 1)
Let p(m) be the first derivative of -17/8*m**2 + 0*m + 147 + 1/12*m**3. Factor p(r).
r*(r - 17)/4
Let j(m) be the first derivative of -m**4/12 + 506*m**3/3 - 128018*m**2 + 129554216*m/3 - 1445. Suppose j(d) = 0. Calculate d.
506
Suppose 3*k + 12 = 0, -i - 3696 = -k - 361. Let n be (1/7)/((-106)/i). Suppose -n + 15/4*a - 3/4*a**2 = 0. What is a?
2, 3
Let n(u) be the first derivative of 676*u**3/3 + 678*u**2 + 8*u + 1844. Suppose n(f) = 0. Calculate f.
-2, -1/169
Let o = -73 - -75. Suppose 16*p + 53 = 17*p. Let p - 200 + x**2 - 4*x**o + 42*x = 0. Calculate x.
7
Let v(t) be the first derivative of 42*t**2 - 4/3*t**3 + 103 - 152*t. Factor v(k).
-4*(k - 19)*(k - 2)
Let o(w) = 3*w - 3. Let f be o(2). Suppose -6 + 54 = 12*b. Let 0*d**4 + 10*d**4 - 8*d - d**b - 38*d**f + 44*d**2 = 0. What is d?
0, 2/9, 2
Let q be ((462/10)/3)/((-69266)/(-590) - 117). Factor 345/2*x**2 + 5/2*x**4 + 371/2*x + q*x**3 + 49.
(x + 1)*(x + 7)**2*(5*x + 2)/2
Let v(m) = 3*m + 129. Let r be v(-33). Let y(s) = s**3 - 32*s**2 + 64*s - 118. Let x be y(r). Factor 0 + 0*o**x - 1/4*o + 1/4*o**3.
o*(o - 1)*(o + 1)/4
Let f(o) be the third derivative of -11*o**5/14 - 248*o**4/21 - 4*o**3/7 - 3*o**2 - 107*o + 1. Find u, given that f(u) = 0.
-6, -2/165
Let 174*v + 93*v**2 + 33/2*v**3 + 108 = 0. Calculate v.
-2, -18/11
Let d(s) = 5*s**5 + s**4 + 11*s**3 - 25*s**2 - 8*s. Let h(g) = 3*g**5 + g**4 + 7*g**3 - 16*g**2 - 5*g. Let n(k) = 5*d(k) - 8*h(k). Factor n(b).
b**2*(b - 3)*(b - 1)*(b + 1)
Let h(c) be the second derivative of 3*c**3 - 2/5*c**6 + 4*c**2 - 1/21*c**7 + 1/3*c**4 - 214*c + 0 - 4/5*c**5. What is b in h(b) = 0?
-4, -1, 1
Let b(i) be the first derivative of 18*i**4 - 5 + 396*i**2 + 363*i + 166*i**3 + 3/5*i**5. Find q, given that b(q) = 0.
-11, -1
Suppose -5*u = -5*q + 160, -q + 3 = u - 23. Factor 565*s**2 - 625*s**2 - 271*s - q*s - 364 - 136 - 4*s**3.
-4*(s + 5)**3
Let f(m) be the second derivative of 3*m**5/80 - 3*m**4/2 - 13*m**3/2 + 2*m - 423. Factor f(b).
3*b*(b - 26)*(b + 2)/4
Let k(c) be the third derivative of c**7/350 + 27*c**6/200 - 22*c**5/25 + 3*c**4/2 - 4*c**2 + 181*c. Factor k(n).
3*n*(n - 2)*(n - 1)*(n + 30)/5
Let q be 12/26 + (0 + (-4)/1820)*145. What is t in q*t - 1/7*t**3 - 1 + t**2 = 0?
-1, 1, 7
Let d(u) be the third derivative of u**6/600 + 11*u**5/100 - 23*u**4/40 - 7*u**3 - 92*u**2. Let g(o) be the first derivative of d(o). Fact