533*v - 18. Let f(t) = 7*d(t) - 2*n(t). Factor f(s).
-5*(s - 4)*(27*s - 1)
Let d(b) = -4*b**3 + 12*b**2 - 19. Let u(o) be the second derivative of o**2/2 + 3*o - 1. Let h(n) = -d(n) - 3*u(n). Solve h(w) = 0 for w.
-1, 2
Let l = 3761 + -7517/2. Factor l + 11/4*w + 1/4*w**2.
(w + 1)*(w + 10)/4
Let x be 48/6 + -1 + -2. Suppose 4*b - 4 = 4*o, -2*o = 3*b - 8 - x. Factor o*q**3 + 2*q**4 - 5*q + 0*q**2 + 0*q**3 + 9*q**2 - 9*q**3 + 1.
(q - 1)**3*(2*q - 1)
Let r(c) = -125*c**2 - 231*c + 40. Let x be r(-2). Factor 2/3*f**x - 8/3*f + 8/3.
2*(f - 2)**2/3
Factor -310*f - 713 + 2*f**2 - 3*f**2 - 4*f**2 - 353 - 359.
-5*(f + 5)*(f + 57)
Let m(n) be the second derivative of -n**6/2340 + n**5/39 - 77*n**3/3 - n**2/2 + 135*n + 2. Let z(v) be the second derivative of m(v). Factor z(g).
-2*g*(g - 20)/13
Let z(j) be the first derivative of -j**3 + 624*j**2 - 129792*j + 6009. Find t, given that z(t) = 0.
208
Suppose -82*g + 15*g = -216*g + 1192. Determine c, given that g*c + 12*c**3 + 0 - 4*c**4 + 1/2*c**5 - 16*c**2 = 0.
0, 2
Let c(u) = 67*u**3 - 2*u**2 + 3*u - 2. Let w be c(1). Let x = w - 58. Suppose -4*t**3 - 7*t - 2*t + 10*t - 5*t + x*t**2 = 0. Calculate t.
0, 1
Let s be ((-309)/206)/(2/(((-30)/9)/5)). Let b(z) be the first derivative of s*z**4 + 6*z**3 + 1 + 24*z**2 + 32*z. Find n, given that b(n) = 0.
-4, -1
Let t = 544 + -538. Solve -6*r**4 - t + 12*r**2 - 7*r**3 + 2*r - 19*r**3 + 22*r**3 + 2*r**5 = 0.
-1, 1, 3
Let o = 4547 - 13640/3. Let v(n) be the first derivative of 22 + o*n**3 - 4*n - 3/2*n**2. What is f in v(f) = 0?
-1, 4
Let x = 33 - 31. Let c be (3/18*4)/(x/15). Factor -17 - c - 2*z**2 + 18*z - 28 - 38*z.
-2*(z + 5)**2
Let a(u) be the first derivative of 37 + 0*u - 19/30*u**3 + 5/8*u**4 - 4/25*u**5 + 1/10*u**2. Let a(v) = 0. What is v?
0, 1/8, 1, 2
Let h(t) be the first derivative of 5*t**4/4 - 30*t**3 - 425*t**2/2 - 330*t + 1750. Suppose h(b) = 0. Calculate b.
-3, -1, 22
What is v in -1017*v**2 - 75 + 140*v + 967*v**2 - 3*v**3 - 17*v**3 + 5*v**4 = 0?
-3, 1, 5
Let f(u) be the second derivative of u**5/40 + 13*u**4/24 - 29*u**3/12 + 15*u**2/4 - 1227*u + 2. Suppose f(t) = 0. What is t?
-15, 1
Let k(n) be the first derivative of -n**6/320 + n**5/160 + 3*n**4/32 - 2*n**2 + n - 53. Let d(h) be the second derivative of k(h). Factor d(f).
-3*f*(f - 3)*(f + 2)/8
Let r(m) = 10*m**3 - 52*m**2 + 76*m + 582. Let q(b) = 28*b**3 - 150*b**2 + 227*b + 1747. Let p(a) = -6*q(a) + 17*r(a). Determine w so that p(w) = 0.
-7, 6
Let -841/2 - 1/2*v**2 + 29*v = 0. Calculate v.
29
Suppose 23*t - 13*t = 1510. Let w = t + -151. Let -1/4*i**5 + 1/2*i**3 + w + 0*i**4 - 1/4*i + 0*i**2 = 0. Calculate i.
-1, 0, 1
Let s(v) be the third derivative of -v**6/30 - 27*v**5/5 - 39*v**4 - 2218*v**2. Find b such that s(b) = 0.
-78, -3, 0
Let z(p) = -p**5 + 29*p**4 - 46*p**3 - 18*p**2 + 55*p - 27. Let x(h) = -9*h**4 + 15*h**3 + 6*h**2 - 18*h + 9. Let k(j) = 8*x(j) + 3*z(j). Factor k(o).
-3*(o - 3)*(o - 1)**3*(o + 1)
Find x such that -148 + 4/7*x**3 - 1028/7*x**2 - 2068/7*x = 0.
-1, 259
Let d(r) = 3*r**3 - r**2 - 3*r + 1. Let i be d(2). Let j be ((-155)/i + 9)*15/(-10). Determine l so that -18/5*l + 14/5*l**2 - j*l**4 + 18/5*l**3 - 4/5 = 0.
-1, -1/5, 1, 2
Let w(n) = -26*n - 43. Let y(b) = b**2 - 8*b + 2. Let q(x) = -5*w(x) + 5*y(x). Let q(f) = 0. What is f?
-15, -3
Let z(t) be the second derivative of -2*t**6/45 + 2*t**5/15 + 5*t**4/3 - 5938*t. Factor z(x).
-4*x**2*(x - 5)*(x + 3)/3
Let o(a) = -2*a**4 - 675*a**3 + 677*a**2 + 4. Let s(v) = v**4 - v**2 + 4. Let q(j) = o(j) - s(j). Determine w so that q(w) = 0.
-226, 0, 1
Let x = 3480 - 3473. Let w(q) be the second derivative of -4/45*q**6 - 2/9*q**4 + 1/5*q**5 + 0*q**2 + 2*q + 1/9*q**3 + 0 + 1/63*q**x. Factor w(v).
2*v*(v - 1)**4/3
Factor -138*v + 628/9*v**2 - 208 - 2/9*v**3.
-2*(v - 312)*(v - 3)*(v + 1)/9
Let b(s) = 4*s**2 - 80*s + 196. Let q(v) = 4*v**2 - 79*v + 195. Let t(c) = -3*b(c) + 4*q(c). What is i in t(i) = 0?
3, 16
What is c in 976/7*c + 20*c**4 - 4468/7*c**3 - 480/7 + 1144*c**2 = 0?
-2/7, 1/5, 2, 30
Let -48*i + 63 + 3/4*i**3 + 27/4*i**2 = 0. What is i?
-14, 2, 3
Suppose -8089*a = -4060*a - 4092*a. Determine v so that -4/5*v**5 + 6/5*v - 14/5*v**4 - 2/5*v**3 + 14/5*v**2 + a = 0.
-3, -1, -1/2, 0, 1
Find f such that -2629*f - 2188 - 10937 - 4739*f + 5*f**4 - 10*f**3 + 118*f - 1200*f**2 - 20*f**3 = 0.
-5, 21
Let m be (871507/35)/13 - 5*-1. Let f = m - 1914. Suppose 16/5*g + f - 4/5*g**3 - 8/5*g**2 = 0. What is g?
-2, 2
Let a(y) be the third derivative of 0*y**5 - 47*y**2 - 1/108*y**4 + 0*y + 0 + 1/540*y**6 + 0*y**3. Factor a(m).
2*m*(m - 1)*(m + 1)/9
Suppose -4*c + 68 = -107*z + 109*z, -c = 11*z - 38. Let -1720/3*g + 142/3*g**3 - 148*g**z - 400/3 - 8/3*g**4 = 0. Calculate g.
-2, -1/4, 10
Let u = -696289/6 + 116051. Solve -7/6*a**2 - 17/6*a**3 - 1/2*a**4 + u*a + 5/3 = 0.
-5, -1, -2/3, 1
What is p in 28/17*p**2 - 2/17*p**5 + 0*p + 18/17*p**3 - 12/17*p**4 + 0 = 0?
-7, -1, 0, 2
Let g(o) be the second derivative of o**5/10 - 4*o**4/3 + 5*o**3 - 1382*o. Factor g(w).
2*w*(w - 5)*(w - 3)
Let d(x) = 2*x - 3. Let p(i) = i**2 - 407*i + 807. Let a(v) = -3*d(v) - p(v). Factor a(j).
-(j - 399)*(j - 2)
Let v(u) be the first derivative of -2*u**3/9 + 1586*u**2/3 - 1257698*u/3 + 11963. Factor v(c).
-2*(c - 793)**2/3
Let x = -545 + 547. Factor 3*p**5 - 177602*p**x - 20*p**4 + 177622*p**2 - 5*p**3 + 2*p**5.
5*p**2*(p - 4)*(p - 1)*(p + 1)
Let w = 70 + -116. Let c = -38 - w. Let 4*m**2 - c + 6*m - 4 + 2*m = 0. What is m?
-3, 1
Let l(y) be the first derivative of 1/5*y**5 + 1/4*y**4 - 2*y**2 - 4 - 2/3*y**3 - 16*y + 1/30*y**6. Let u(k) be the first derivative of l(k). Factor u(r).
(r - 1)*(r + 1)*(r + 2)**2
Let w(o) be the second derivative of -o**7/2520 + 83*o**3/3 + 152*o. Let p(j) be the second derivative of w(j). Factor p(m).
-m**3/3
Find v such that 3*v**3 - 5*v**3 + 3*v**3 + 610 - 35*v - 610 + 2*v**2 = 0.
-7, 0, 5
Factor 9*k**2 - 432 - 19/2*k**3 + 432*k + 1/2*k**4.
(k - 12)**2*(k - 1)*(k + 6)/2
Suppose 96 = 10*l - 6*l. Suppose 23*g + 12 = l*g. Find v such that -5*v**3 + 14*v**5 - g*v**5 - 8*v**2 + 11*v**3 + 10*v**3 - 10*v**4 = 0.
0, 1, 2
Let n(l) be the first derivative of -l**4/30 + 16*l**3/15 + 161*l**2/5 + 3724*l/15 + 2548. Factor n(y).
-2*(y - 38)*(y + 7)**2/15
Factor -114*d**3 - 36*d**4 - 23*d**4 + 114*d + 58*d**4 + 3249 - 233*d**2 - 3015*d**2.
-(d - 1)*(d + 1)*(d + 57)**2
Let u(q) be the first derivative of -q**6/4 + 69*q**4/8 + 9*q**3 - 30*q**2 + 289. Solve u(a) = 0 for a.
-4, -2, 0, 1, 5
Let b = 102912 + -102908. Factor 4/7*r**3 - 2/7 + 0*r**2 + 2/7*r**b - 4/7*r.
2*(r - 1)*(r + 1)**3/7
Let s(q) be the second derivative of -q**5/30 + 19*q**4/18 - 115*q**3/9 + 75*q**2 + 4*q + 41. What is u in s(u) = 0?
5, 9
Let i = 5083 - 5081. Let b = -7 + 10. Let 8/7*k**3 - 25/7*k**i - 8/7*k + 4/7 + b*k**4 = 0. What is k?
-1, -2/3, 2/7, 1
Let u be -844 + 905 - (-342)/(-6). Solve 0 + 36*y + 25/4*y**3 + 1/4*y**u + 42*y**2 = 0 for y.
-12, -1, 0
Suppose 525 = -6*w + 9*w. Suppose 0 = -5*f - 0*a - 5*a + w, -5*f + 2*a + 175 = 0. Factor -56*c - f*c**3 - 10*c**2 + 56*c + 20*c**4.
5*c**2*(c - 2)*(4*c + 1)
Let q be ((-324)/(-540))/(((-6)/(-20))/3). Let a be 4/q*(5/(-5) + 4). Factor -1/5 - 1/5*o**a + 2/5*o.
-(o - 1)**2/5
Let u(l) be the third derivative of l**6/24 + 29*l**5/12 - 95*l**4 + 1230*l**3 + 17*l**2 + 4. Let u(k) = 0. What is k?
-41, 6
Let q(h) be the first derivative of -1/12*h**4 + 199 - 23/9*h**3 - 25/3*h + 49/6*h**2. Factor q(g).
-(g - 1)**2*(g + 25)/3
Let t(f) be the third derivative of f**5/330 + 1022*f**4/33 - 1363*f**3/11 + 13070*f**2. Solve t(b) = 0.
-4089, 1
Let x = -51296 - -51296. Factor 0*z + 12/17*z**2 - 2/17*z**3 - 2/17*z**4 + x.
-2*z**2*(z - 2)*(z + 3)/17
Suppose 7711*a + 0 + 2 - 1 = 1. Factor 9/4*o**3 + a*o - 6*o**2 + 0 + 3/8*o**4.
3*o**2*(o - 2)*(o + 8)/8
Let i be (-8)/(3/((-81)/9)). Let q be ((-20)/12)/((-20)/i). Factor 1/2*u - 1/2*u**q - 1/2*u**3 + 0 + 1/2*u**4.
u*(u - 1)**2*(u + 1)/2
Let f(y) be the second derivative of y**7/210 - y**6/60 - 37*y**2/2 - 139*y. Let m(i) be the first derivative of f(i). Factor m(s).
s**3*(s - 2)
Let l(w) be the third derivative of 2*w**5/105 + 3167*w**4/84 - 264*w**3/7 + 140*w**2. Determine q, given that l(q) = 0.
-792, 1/4
Suppose 4*y + 82 = 2*y. Let k = y - -46. Find p, given that -5*p**5 - 25*p**5 + 42*p**k 