*3 - k**2 - k. Suppose -28*r - 56 = -28. Let j(t) = r*n(t) + y(t). Find u such that j(u) = 0.
-10/11, 1
Suppose -6*q = 298 - 124. Let b = q + 33. Factor -13 - 215*w + 25*w**b - 10*w**2 + 180*w + 30*w**3 + 5*w**5 - 2.
5*(w - 1)*(w + 1)**3*(w + 3)
Let q = -523 - -191. Let k = -330 - q. What is r in -2 + 7/4*r + 1/4*r**k = 0?
-8, 1
Let p(d) be the first derivative of 2*d**6/3 - 283*d**5/5 - 2239*d**4/4 - 1838*d**3/3 + 1710*d**2 + 936*d + 9749. Determine m so that p(m) = 0.
-6, -2, -1/4, 1, 78
Let f(g) be the third derivative of g**5/60 + 5*g**4/8 + 8*g**3/3 + 288*g**2. Let d be f(-1). Suppose 0*j + 0*j**d + 0 + 2/11*j**4 + 2/11*j**3 = 0. Calculate j.
-1, 0
Factor 2*v - 15*v - 2*v**5 + 29*v**4 - 27*v**4 + 13*v.
-2*v**4*(v - 1)
Let u(a) = -a**3 - 4*a**2 + 14*a + 36. Let p be u(-6). Determine y so that 34*y**2 + 225*y - p*y**2 - 5*y**2 = 0.
-45, 0
Let r(y) be the first derivative of 2/3*y**2 - 1/3*y**4 + 7 - 2/15*y**5 + 2/9*y**3 + 0*y. Factor r(f).
-2*f*(f - 1)*(f + 1)*(f + 2)/3
Let k(g) be the second derivative of -g**4/96 - 1223*g**3/8 - 13461561*g**2/16 + 7810*g. Determine q so that k(q) = 0.
-3669
Let s(k) be the second derivative of -k**5/5 - 12*k**4 - 286*k**3 - 3388*k**2 - 2139*k. Solve s(b) = 0 for b.
-14, -11
Let w(z) = 2*z**3 + 196*z**2 + 756*z + 378. Let s be w(-94). Factor 3/2*x**s + 18 - 12*x.
3*(x - 6)*(x - 2)/2
Suppose -z - 2*s = -49, -217 = -5*z + 2*s - 5*s. Factor -m**2 - 113*m + 31*m - 8 + z*m + 32*m.
-(m + 1)*(m + 8)
Factor -3/8*t**2 + 87/2*t + 351/8.
-3*(t - 117)*(t + 1)/8
Let b be (-41 - -46) + (2/11)/((-96)/2544). Find w, given that b*w**5 + 2/11*w - 4/11*w**3 - 4/11 + 8/11*w**2 - 4/11*w**4 = 0.
-1, 1, 2
Let q be 0/(50/(6 + 4)). Let r(u) be the third derivative of -2*u**2 - 1/900*u**6 + 0 + 1/450*u**5 + q*u**3 + 0*u**4 + 0*u. Factor r(k).
-2*k**2*(k - 1)/15
Let a be 2/4*(134 - 128). Let z(k) be the first derivative of 30*k - 6 - 25/2*k**2 + 5/3*k**a. What is t in z(t) = 0?
2, 3
Let x(r) be the third derivative of 4*r**2 + 5/2*r**3 + 1/12*r**5 + 0 - 9*r - 5/6*r**4. Let x(t) = 0. What is t?
1, 3
Let f be ((-26)/6)/((-11)/330*-10). Let w be (-16)/(-192)*(2 - (f - -1)). Solve -1 + 0*r**2 - w*r + 1/6*r**3 = 0.
-2, -1, 3
Let h(t) = -5*t**4 + 93*t**3 - 1632*t**2 + 8740*t - 7196. Let u(j) = j**4 - 1. Let z(k) = h(k) + 4*u(k). Let z(y) = 0. Calculate y.
1, 10, 72
Let o(s) be the third derivative of 34/3*s**3 + 1/15*s**5 + 0*s - 78*s**2 + 0 - 3*s**4. Factor o(t).
4*(t - 17)*(t - 1)
Factor -5/2*d**2 + 17/4*d + 1/4*d**3 - 2.
(d - 8)*(d - 1)**2/4
Let h = -765 + 822. Suppose -8*t = -27*t + h. Suppose -14/11*l**4 - 4/11*l**t - 8/11*l**5 + 2/11*l**2 + 0*l + 0 = 0. What is l?
-1, 0, 1/4
Let n(o) be the second derivative of o**7/28 + o**6/10 - 42*o**5 + 2365*o**4/4 + 559*o**3/4 - 3549*o**2 + 1205*o + 3. Let n(u) = 0. What is u?
-28, -1, 1, 13
Suppose 372 = 146*a - 143*a - 36*p, 28 = 2*a - 2*p. Let -3/7 - 1/7*f**a - 10/7*f - 12/7*f**2 - 6/7*f**3 = 0. Calculate f.
-3, -1
Let v(x) = 19*x**3 - 41*x**2 - 158*x + 120. Let c(m) = -20*m**3 + 45*m**2 + 155*m - 120. Let g(q) = -4*c(q) - 5*v(q). Factor g(b).
-5*(b - 4)*(b + 3)*(3*b - 2)
Let y(u) = 10 - 2611*u - 52 + 2589*u. Let v be y(-2). Find k such that 0*k + 8/3 - 22/3*k**2 + v*k**5 + 14/3*k**4 - 2*k**3 = 0.
-2, -1, 2/3, 1
Let x(l) be the second derivative of -l**6/6 - l**5/4 + 5*l**4/4 + 25*l**3/6 + 5*l**2 - 2*l - 433. Factor x(u).
-5*(u - 2)*(u + 1)**3
Let w be 5 + 1 + -9 + 8 + 0. Suppose 22*k**4 - 123*k**3 - 4*k**w + 22*k**4 + 27*k**3 - 144*k**2 = 0. What is k?
-1, 0, 6
Let y = -17 + 29. Find w, given that -8*w - 9*w - 2*w**4 + 24*w**2 + 25*w - y*w**2 - 16 - 2*w**3 = 0.
-2, 1, 2
Suppose -p + 2*s = 100 - 93, -s + 8 = p. Solve -65*x + 11*x**p + 14*x**3 + 15*x**2 - x**4 + 6*x**4 + x**4 - 50 - 11*x**4 = 0.
-1, 2, 5
Factor -5*l**4 + 50*l**2 + 3695*l + 52*l**3 - 3815*l - 37*l**3.
-5*l*(l - 4)*(l - 2)*(l + 3)
Let z(s) be the first derivative of -1/4*s**4 - 4/3*s**3 + 0*s + 0*s**2 + 84 + 1/10*s**5. Find v such that z(v) = 0.
-2, 0, 4
Let m(q) = 5*q**2 + 3*q + 4. Let b be m(-1). Let r be (-4)/b - ((-440)/15)/2. Factor -t**4 - 12*t**2 + 6*t**4 + 5*t**4 - r*t**4 - 16*t**3.
-4*t**2*(t + 1)*(t + 3)
Let t(o) = o**2 + 7*o + 18. Let f be t(-2). Let c be f/92 + 201/69. Solve 0 - 8/3*i**4 - 2/3*i + 8/3*i**2 + 2/3*i**c = 0.
-1, 0, 1/4, 1
Let w(c) = -3*c**2 - 7*c + 5. Let s be w(-3). Let a be s*(-4 + (-3 - -4)). What is f in a*f**4 + 26*f + 3*f**2 - 2*f**3 - f**4 - 32*f - 13*f**2 = 0?
-1, 0, 3
Let p(t) be the first derivative of -t**3 - 33*t**2/2 + 36*t - 613. Factor p(d).
-3*(d - 1)*(d + 12)
Let d(t) be the first derivative of -73/8*t**4 - 24*t - 8 - 1/36*t**6 - 38*t**2 - 505/18*t**3 - 9/10*t**5. Factor d(c).
-(c + 1)**3*(c + 12)**2/6
Let j = 152 + 86. Factor j - 10*x**2 - 138 + 134*x - 152.
-2*(x - 13)*(5*x - 2)
Let w(d) be the third derivative of d**8/40320 - d**7/2240 + d**6/320 + d**5/4 - d**3/3 - d**2 - 23. Let y(c) be the third derivative of w(c). Factor y(j).
(j - 3)*(2*j - 3)/4
Let w be (-4 - (-63)/12)/((-75)/(-180)). Let d(x) be the first derivative of 1/2*x**3 + 6*x + w*x**2 - 19. Factor d(b).
3*(b + 2)**2/2
Let o be (-246)/10 + (68 - (-58 - -101)). Factor 2/5*r**4 + 2/5*r - 6/5*r**2 + 4/5 - o*r**3.
2*(r - 2)*(r - 1)*(r + 1)**2/5
Let j(t) be the third derivative of -4*t**7/105 + t**6/20 + 2*t**5/5 - t**4/12 - 2*t**3 + 7*t**2 - 22*t. Find r such that j(r) = 0.
-1, 3/4, 2
Suppose 29*a = -1 - 57. Let c be 2 + 146/(-84) + a/(-12). Factor -c - 3/7*g + 3/7*g**2 + 3/7*g**3.
3*(g - 1)*(g + 1)**2/7
Solve 3/5*z**5 + 6552/5*z**3 + 0 + 64896/5*z**2 + 105456/5*z + 48*z**4 = 0 for z.
-26, -2, 0
Solve -1609644756 - 134351171*r - 2468*r**3 - 2031984*r**2 - 9*r**4 - 186780774*r + 498820260 + 8*r**4 - 238334407*r = 0.
-822, -2
Let x(c) be the second derivative of 7*c**4/6 + 49*c**3/6 - 489*c**2/2 - 2*c - 139. Let r(l) = -3*l**2 - l + 1. Let i(u) = -5*r(u) - x(u). Factor i(k).
(k - 22)**2
Let i(k) be the first derivative of 11*k**3 - 188 - 60*k**2 - 3/4*k**4 + 144*k. Factor i(b).
-3*(b - 4)**2*(b - 3)
Let p = 32 + -28. Let d(z) = -2*z**2 - 41*z + 9662. Let s be d(60). Determine t so that 50/11*t**p + 16/11 + 190/11*t**3 + 104/11*t + 228/11*t**s = 0.
-2, -1, -2/5
Let r(k) be the second derivative of -k**5/5 - 32*k**4/3 - 58*k**3 + k - 713. What is s in r(s) = 0?
-29, -3, 0
Determine f so that 16*f**3 - 75*f + 529*f**4 - 532*f**4 - 45*f**2 + 11*f**3 = 0.
-1, 0, 5
Let y be ((-8)/(-34))/((-54)/(-459)). Suppose 2*n = 4*q + 4, y*n + 4*q = -3*n + 24. Factor 0*w**3 + 2/7*w**n + 0*w**2 + 6/7*w**5 + 0 + 0*w.
2*w**4*(3*w + 1)/7
Let b = -227137 - -1817119/8. Factor -1/4*l - b*l**3 + 0 - 25/8*l**2.
-l*(l + 1)*(23*l + 2)/8
Let u(g) = 15*g**3 + 3*g**2 + 7*g - 18. Let f be u(3). Let s be -2*(6/10 + (-551)/f). Factor 2*b - 2*b**3 + s*b**2 - 4/3.
-2*(b - 1)*(b + 1)*(3*b - 2)/3
Let h = 9 - 5. Let d(j) = -4*j**3 + j**2 + 33*j + 32. Let o be d(-1). What is q in o*q**3 - 2*q**2 - h + q**2 - 4*q + q**4 - q**2 + 5*q**2 = 0?
-2, -1, 1
Let j(s) be the third derivative of -26/3*s**3 + 158*s**2 + 19/9*s**4 + 0*s + 0 + 1/45*s**5. Determine x so that j(x) = 0.
-39, 1
Suppose 14*k = -27 + 223. Let j be 104/182 + (-6)/k. Factor -1/7*b**4 + 0 - 2/7*b - 3/7*b**3 + 5/7*b**2 + j*b**5.
b*(b - 1)**3*(b + 2)/7
Factor 2/11*c**3 - 240/11 - 26/11*c**2 - 268/11*c.
2*(c - 20)*(c + 1)*(c + 6)/11
Let d be (-21)/(-6) + 1/(-2). Suppose 0 = d*f - 23 + 8. Factor 7*n**3 - n**4 - 3*n**5 + 5*n**2 - 2*n**f - 2*n**3 - 4*n**4.
-5*n**2*(n - 1)*(n + 1)**2
Let f = 2684/20583 - -210/2287. Factor 0 + f*g**2 + 4/9*g.
2*g*(g + 2)/9
Let o(v) be the third derivative of -v**6/150 - 106*v**5/75 - 311*v**4/30 - 412*v**3/15 - 351*v**2. What is t in o(t) = 0?
-103, -2, -1
Let a = 11805 + -47219/4. Let t(o) be the first derivative of -1 + 0*o + 0*o**2 + 2/9*o**3 + a*o**4. Factor t(h).
h**2*(3*h + 2)/3
Suppose -2260*r = -2912 - 3868. Let 3/4*l**4 - 15/8*l + 27/8*l**2 - 21/8*l**r + 3/8 = 0. What is l?
1/2, 1
Suppose -4*m = -v - 15, 0 = -3*m + 3*v + 10 + 8. Let w(k) be the first derivative of -4/5*k**5 - 20/3*k**m - 4*k**4 - 6 + 0*k - 4*k**2. Factor w(x).
-4*x*(x + 1)**2*(x + 2)
Let j(b) be the third derivative of -b**6/200 - 497*b**5/100 - 69*b**2 - 3*b + 2. Solve j(v) = 0.
-497, 0
Let v(d) = -8*d**2 - d - 1. Let q(g) = -5*g**2 - 555*g + 5. Let u(y) = q(y) + 5*v(y). What is z in u(z) = 0?
-112