t x(f) be the second derivative of f**6/10 + 9*f**5/10 + f**4/4 - 12*f**3 + 24*f**2 + 1576*f. Find m such that x(m) = 0.
-4, 1
Let v be (-9 - 14 - -25)/(5/(-510)*-10). What is s in v*s**2 - 9/5*s**5 - 36/5*s**3 - 78/5*s**4 - 24/5 + 9*s = 0?
-8, -1, 1/3, 1
Let c(x) = 1366*x - 90154. Let p be c(66). Determine z, given that 5/4*z**3 - 75/4*z - 5/2*z**p + 45 = 0.
-4, 3
Let l be 45/9 - 3*1. Suppose 0 = -n + 3 + 78. Factor n*w**2 + 88*w**2 - 171*w**l + 18*w.
-2*w*(w - 9)
Let u(z) = -z**2 + z. Let q(m) = -4*m**2 + 89*m - 249. Let n(v) = -q(v) + 3*u(v). Find a, given that n(a) = 0.
3, 83
Let o be (4/((-48)/10))/(21780/(-176418)). Factor 0 + o*i**2 - 3*i**3 - 15/4*i.
-3*i*(i - 1)*(4*i - 5)/4
Let c be (3/(9/(-30)))/(4/(-2)). Suppose 0 = -2*n - 3*u + 31, n = 4*n - c*u - 18. Solve -13 - 68*a**2 - n + 72*a**2 + 20*a = 0 for a.
-6, 1
Let o(h) be the third derivative of -h**5/690 + 9*h**4/92 + 58*h**3/69 + 85*h**2 + 21. Factor o(i).
-2*(i - 29)*(i + 2)/23
Let q = -1180 + 1182. Let o(u) be the first derivative of 2/9*u**3 + 24*u + 17 - 4*u**q. Solve o(b) = 0.
6
Suppose -15*f**2 - 2*f + 576 + 6*f + 51*f**2 - 38*f**2 = 0. Calculate f.
-16, 18
Find n, given that -7 + 1 + 6 - 2857*n**2 + 2*n**3 + 2685*n**2 = 0.
0, 86
Let k(t) be the second derivative of -t**4/4 - 53*t**3/2 + 252*t**2 + 1446*t. Let k(l) = 0. What is l?
-56, 3
Let a = 73493/808 - 9174/101. Let 5/2*p - a*p**4 - 1 - 9/4*p**2 + 7/8*p**3 = 0. Calculate p.
1, 2
Let d(k) be the second derivative of k**6/45 - k**5/5 + 32*k**3/9 + 4*k + 99. What is f in d(f) = 0?
-2, 0, 4
Let o(w) be the third derivative of w**5/100 + 359*w**4/60 + 239*w**3/30 + 2*w**2 + 1214. Find m, given that o(m) = 0.
-239, -1/3
Let k(p) = 34*p**2 + 8*p + 123. Let c(n) = 3*n**2 - n + 3. Let j(f) = -22*c(f) + 2*k(f). Determine i, given that j(i) = 0.
-10, -9
Let m(c) = -32*c**2 - 95*c - 83. Let o(d) = -6*d**2 - 3*d - 1. Let n(p) = m(p) - 5*o(p). Solve n(s) = 0.
-39, -1
Let t be (-2)/(-7) + (-38)/(-14). Suppose -4*a + 13 = -m, -4*m - 28 = -t*a - a. What is v in 2 - 4*v**4 - 4*v**a + 2 + 4 + 12*v**3 - 12*v = 0?
-1, 1, 2
Let p(i) be the first derivative of -2*i**5/35 + 2*i**4/7 + 22*i**3/21 - 66*i**2/7 + 144*i/7 + 993. Solve p(y) = 0.
-4, 2, 3
Let d = 4/1651 - -1627/9906. Let u(h) be the first derivative of -2/9*h**3 - 1/12*h**4 - 19 + d*h**2 + 2/3*h. Find i, given that u(i) = 0.
-2, -1, 1
Determine g so that -63/5 - 82/5*g**3 + 81/5*g + 17/5*g**4 + 46/5*g**2 + 1/5*g**5 = 0.
-21, -1, 1, 3
Solve 282*v**2 + 646*v**3 + 44*v + 380*v**2 - 957 + 957 + 28*v**4 = 0.
-22, -1, -1/14, 0
Let v(z) be the third derivative of z**9/7560 - z**8/1008 - z**7/420 - 187*z**5/60 + 57*z**2 - 2. Let g(b) be the third derivative of v(b). Factor g(q).
4*q*(q - 3)*(2*q + 1)
Let g be 4/22 + 221/(-187) + 1. Suppose 3*n + 12 + 3 = 3*b, g = 3*b + 2*n. Solve -2/15*x**5 - 2/15*x**4 + 0 + 0*x + 2/15*x**3 + 2/15*x**b = 0.
-1, 0, 1
Let x be (-16)/120 + 62/15. Determine m, given that 4*m**2 - 24*m**4 + 29*m**4 - 6*m**3 - x*m**3 + m**2 = 0.
0, 1
Let x(r) be the first derivative of 0*r**2 + 0*r + 7/6*r**4 - 4/9*r**3 + 8/15*r**5 - 81. Find h such that x(h) = 0.
-2, 0, 1/4
Let t(p) = -16*p - 45. Let f be t(-3). Factor -3*n**2 + 5*n**2 + 23*n**f + 3*n**2 - 18*n**3.
5*n**2*(n + 1)
Let x(r) be the first derivative of r**4 + 340*r**3/3 + 332*r**2 - 1169. Factor x(f).
4*f*(f + 2)*(f + 83)
Let t = -25 - -40. Suppose -4*a = a - t. Factor 46*f**4 + 2*f**2 - 47*f**4 - 12*f + 0*f**a - 9 + 4*f**3.
-(f - 3)**2*(f + 1)**2
Let o(c) be the first derivative of -121*c**5/10 - 319*c**4/4 + 453*c**3/2 - 178*c**2 + 56*c - 81. Determine t, given that o(t) = 0.
-7, 4/11, 1
Let b = 7496/37355 - 5/7471. Find a, given that b*a**2 + 1/5 - 2/5*a = 0.
1
Let w(u) be the second derivative of -3*u**5/20 + 24*u**4 - 1050*u**3 - 15000*u**2 + 454*u - 2. What is c in w(c) = 0?
-4, 50
Find q such that 300/11*q**2 + 2/11*q**3 - 1200/11 - 8/11*q = 0.
-150, -2, 2
Solve -11463*k**3 - 186 - 16758*k - 77790 - 3*k**5 + 6163601*k**2 - 6114206*k**2 + 357*k**4 = 0 for k.
-1, 2, 4, 57
Suppose 15668/13*b - 2/13*b**2 - 30685778/13 = 0. What is b?
3917
Factor 156/7 + 16/7*o**2 + 2/7*o**3 - 118/7*o.
2*(o - 3)*(o - 2)*(o + 13)/7
Let r(j) be the third derivative of -j**6/300 - 113*j**5/75 - 89*j**4/12 + 224*j**3/5 + 4*j**2 - 437. Factor r(c).
-2*(c - 1)*(c + 3)*(c + 224)/5
Suppose -x - 2*v = -13, -5*x - 52*v + 56*v + 23 = 0. Suppose 2*f = 4*s + 2, 0 = x*s - 2*s - 2*f + 2. Let 1/9*h**4 + 0*h**2 - 2/9*h**3 + 0*h + s = 0. What is h?
0, 2
Let v(f) = -f**3 - 10*f**2 - 15*f + 30. Let s(b) = b**3 + 10*b**2 + 13*b - 30. Let j(t) = 2*s(t) + 3*v(t). Factor j(h).
-(h - 1)*(h + 5)*(h + 6)
Let n = -5 + -1. Let l = 7485 - 7481. Let i(b) = 4*b**2 + 4*b + 3. Let f(t) = 3*t**2 + 4*t + 3. Let a(r) = l*i(r) + n*f(r). Factor a(k).
-2*(k + 1)*(k + 3)
Suppose 526*o = 533*o - 3003. Let m = o + -429. Factor -2/7*d**4 + 0 + 0*d**3 + m*d + 2/7*d**2.
-2*d**2*(d - 1)*(d + 1)/7
Let w = -2 + 24. Factor 5*m**3 - w + 2 - 23*m**2 - m - 4*m + 43*m**2.
5*(m - 1)*(m + 1)*(m + 4)
Find l, given that -3/5*l**2 + 0 - 6*l = 0.
-10, 0
Determine v so that -53*v + 3 - 3*v**2 + 119 + 5*v + 44 + 74 = 0.
-20, 4
Let z(t) be the second derivative of t**10/105840 + t**9/10584 + t**8/5880 - t**4/6 + 79*t**2/2 - 115*t. Let v(k) be the third derivative of z(k). Factor v(p).
2*p**3*(p + 1)*(p + 4)/7
Let k(q) be the second derivative of q**4/30 - 11*q**3/15 - 12*q**2 - 2129*q. Factor k(i).
2*(i - 15)*(i + 4)/5
Suppose 0*a - 11*a = 5*a. Suppose -m = -a*m - 3. Factor -1/4*q + 0 + 1/4*q**m + 0*q**2.
q*(q - 1)*(q + 1)/4
Let q be (-28 - 14)*10*9/(-1575). Solve 2/5*d**3 + 2/5*d**2 + 0 - q*d = 0 for d.
-3, 0, 2
Let z(p) be the first derivative of p**5/30 - 2*p**4/3 + 16*p**3/3 + 8*p**2 + 81. Let k(m) be the second derivative of z(m). Let k(u) = 0. What is u?
4
Let c(s) = 9*s**2 + s. Let m(f) = 10*f**2 - 16*f - 18. Let z(w) = c(w) - m(w). Factor z(u).
-(u - 18)*(u + 1)
Suppose 3*y - 8 = -2*s, 264*s + 16 = 268*s + 3*y. Suppose -2/5*o**s - 24/5 - 54/5*o**2 + 62/5*o + 18/5*o**3 = 0. Calculate o.
1, 3, 4
Let j be (378/504)/(144/1024). Find c such that 4/9*c**3 - 4/9*c + j*c**2 - 16/3 = 0.
-12, -1, 1
Let w = -1937 + 1950. Suppose -m + 10*h - w = 6*h, 0 = -5*m - 4*h + 31. Factor -3/4*v**m + 27/4*v + 9/4*v**2 - 81/4.
-3*(v - 3)**2*(v + 3)/4
Suppose 4 = 2*t + 4*h, 5*t - h + 14 - 24 = 0. Factor -9 - 126*r + 114*r - 2*r**2 - r**t.
-3*(r + 1)*(r + 3)
Find w such that 38*w**2 + 44*w**3 + 22*w**5 - 178*w**2 + 28*w**5 - 224*w + 17*w**4 - 54*w**5 + 64 = 0.
-2, 1/4, 4
Let c(t) be the second derivative of -t**5/140 - 149*t**4/12 - 272483*t**3/42 - 271441*t**2/14 - t - 534. Determine j, given that c(j) = 0.
-521, -1
Let w(r) be the first derivative of r**5 + 0*r + 130 + 10*r**4 - 125*r**2 + 25/3*r**3. Solve w(n) = 0 for n.
-5, 0, 2
Let n(w) be the second derivative of w**5/70 - 24*w**4/7 - 295*w**3/21 + 438*w**2/7 - 6*w + 273. Factor n(s).
2*(s - 146)*(s - 1)*(s + 3)/7
Let 327*j**2 + 2760*j + 5064 - 11*j**3 + 552 + 8*j**3 = 0. What is j?
-4, 117
Solve 72 + 592*j**4 + 240*j - 588*j**4 + 28 + 184*j**2 + 48*j**3 = 0 for j.
-5, -1
Let w(g) be the third derivative of g**5/20 + 261*g**4/2 + 136242*g**3 + 9*g**2 + 1. Solve w(j) = 0.
-522
Let q be 1/(((-18)/(-4))/9). Let t be (-34)/(-17)*(2/q + 0). Factor -l**4 - 2*l + 2*l**3 - 71 + 71 + l**t.
-l*(l - 2)*(l - 1)*(l + 1)
Let q be 391/(-23) - (1800/(-54) - -7). Factor 2/9*a**2 - q - 38/9*a.
2*(a - 21)*(a + 2)/9
Let i = 478 - 479. Let p be (-15)/i*56/700. Suppose -p*q + 2/5*q**2 - 8/5 = 0. What is q?
-1, 4
Let c = 2579/40 + -313/5. Let d(w) be the first derivative of 4 + 5/4*w - 5/16*w**4 + 5/4*w**3 - c*w**2. Find o, given that d(o) = 0.
1
Let b(n) be the first derivative of 0*n**2 + 12*n**4 + 28/5*n**5 - 16/3*n**3 + 0*n - 54. What is z in b(z) = 0?
-2, 0, 2/7
Let y(f) be the third derivative of -f**9/756 - f**8/105 - f**7/42 - f**6/45 + 55*f**3/6 + 10*f**2. Let n(i) be the first derivative of y(i). Factor n(h).
-4*h**2*(h + 1)**2*(h + 2)
Suppose -4*s + 3 = 2*z - 11, 5*z - 2*s = 11. Let u be (z/(-1))/((0 - 1)/1). Factor -18*j**2 + 7*j**4 + 19*j**4 + 4*j - 8*j**4 - 6*j**u + 2*j**3.
2*j*(j - 1)*(j + 1)*(9*j - 2)
Suppose 12*n - 2*n = 10. Suppose 4*l = -3*u - n, -2*u + 4*u = -6. Factor 16*b**l - 9*b**4 - 3*b**5 - 4*b**2 + 229 - 229.
-3*b**2*(b - 1)*(b + 2)**2
Solve 7/2*h