u**5 + u**2 + u - 1. Let w(m) = -l(m) - 3*r(m). Solve w(p) = 0 for p.
-5, -1, 1/3, 1
Let m(x) = x**3 + 3*x**2 - x - 3. Let v be m(-3). Let k = v + 4. Factor -2*t**4 + 0*t**k + 3*t**4 - t**3.
t**3*(t - 1)
Let t(h) = -3 + 3 - h**3 + 0 - h**2. Let y(q) = -25*q**3 - 35*q**2 - 25*q - 15. Let x(n) = 30*t(n) - y(n). Factor x(g).
-5*(g - 3)*(g + 1)**2
Let r(a) be the second derivative of -a**4/12 - 3*a**3/2 - 7*a**2 + 2*a - 38. Factor r(z).
-(z + 2)*(z + 7)
Let w = -238 - -223. Let c(v) = -2*v**2 - 27*v + 47. Let a be c(w). Factor 1/2*s + 1/2*s**5 + 1/2 - s**a + 1/2*s**4 - s**3.
(s - 1)**2*(s + 1)**3/2
Factor -15*w**2 + 36*w**3 - 6*w**3 - 50*w - 7*w**4 + 10*w**4 - 3*w**4 - 5*w**4.
-5*w*(w - 5)*(w - 2)*(w + 1)
Let z = -5917/4 + 1480. Solve 1/4*u**2 - 1 - z*u = 0.
-1, 4
Let y = 3/31 - -23/1364. Let l = 43/396 + y. Factor l + 4/9*k + 2/9*k**2.
2*(k + 1)**2/9
Let z(k) = -3*k**2 + 9*k - 10. Let p(o) be the third derivative of -o**5/60 - o**3/6 + 22*o**2 - o. Let f(r) = 2*p(r) - z(r). What is q in f(q) = 0?
1, 8
Let d(h) be the third derivative of 2*h - 23/180*h**5 - 4/9*h**4 + 0 - 1/120*h**6 - 2/3*h**3 + 2*h**2. Factor d(p).
-(p + 1)*(p + 6)*(3*p + 2)/3
Factor 10/3*c**3 + 35/9*c - 5/9*c**4 - 1/9*c**5 - 50/9*c**2 - 1.
-(c - 1)**4*(c + 9)/9
Let a(v) = v**5 - v**4 + v**3 - 1. Let n be 207/(-36) - 1/4. Let r(g) = -11*g**5 + 21*g**4 - 21*g**3 + 5*g**2 + 6. Let m(d) = n*a(d) - r(d). Factor m(s).
5*s**2*(s - 1)**3
Solve 9*p + 19 - 1/4*p**2 = 0.
-2, 38
Let v = 247/1020 + 2/255. Let w(z) be the second derivative of v*z**2 + 0 - 1/24*z**4 + 1/12*z**3 - 6*z - 1/40*z**5. What is t in w(t) = 0?
-1, 1
Suppose -60 = -2*p + 2*u, -2*u - u = -p + 30. Solve -5*l**3 - 9*l**2 - 16 - 54*l + 4*l**3 + p*l = 0 for l.
-4, -1
Let o be 8/(-60) + 64/30. Suppose j + 26 + 9 = 2*r, o*j + 2 = 0. Let -w**3 - w**4 - r + 17 = 0. What is w?
-1, 0
Let v(x) be the third derivative of x**8/4032 + 13*x**7/1008 + x**6/12 + 3*x**5/20 + 19*x**2. Let p(d) be the third derivative of v(d). Factor p(f).
5*(f + 1)*(f + 12)
Let r(z) = 2*z**3 + 19*z**2 + 11*z + 20. Let n be r(-9). Determine q so that 5*q**3 + q**2 - 20 - 37*q - 4*q**2 - 7*q**2 + n*q = 0.
-1, 4
Let p(q) be the third derivative of -3/32*q**4 + 0*q + 0 - 30*q**2 + 1/80*q**5 + 0*q**3 + 23/480*q**6 + 13/840*q**7 + 1/672*q**8. What is r in p(r) = 0?
-3, -1, 0, 1/2
Find v such that 32/19*v**2 + 96/19 - 104/19*v - 2/19*v**3 = 0.
2, 12
Factor 15368 - k**2 + 2*k**2 + 54857 + 530*k.
(k + 265)**2
Let f(k) be the third derivative of k**7/735 - k**6/420 - 17*k**5/210 - 5*k**4/28 - 41*k**2 + 1. Find l, given that f(l) = 0.
-3, -1, 0, 5
Suppose 113*p - 118*p + 10 = -2*n, 4*n + 2 = p. Suppose 2/7 + n*u**2 + 1/7*u**3 - 3/7*u = 0. Calculate u.
-2, 1
Suppose 0 = -4*l - 3*i + 51, 17*l - 14*l - 2*i - 34 = 0. Suppose k - 50 = -4*k. Factor 6*w**3 + 8*w - 10*w + 3 + 6*w**5 - k*w + l*w**2 - 15*w**4.
3*(w - 1)**3*(w + 1)*(2*w - 1)
Let w(s) be the third derivative of -s**8/4032 - s**7/56 - 9*s**6/16 - s**5/6 + 2*s**3/3 + 23*s**2. Let n(i) be the third derivative of w(i). Factor n(t).
-5*(t + 9)**2
Let s = 1823 + -10937/6. Let k(i) be the first derivative of 13 + 2*i - 5/3*i**2 + s*i**4 + 2/9*i**3. What is l in k(l) = 0?
-3, 1
Let f be 4978/(-361) + 7 + 7. Factor -2/19*i**3 + f*i + 0 - 2/19*i**2.
-2*i*(i - 1)*(i + 2)/19
Suppose -5*g = -5*y, -2*g + 5*y = 10*y - 21. Let -31*t**2 + 0*t**3 + 26*t**2 - 4*t - t**g = 0. Calculate t.
-4, -1, 0
Let x(k) = -9*k + 2. Suppose 4*j = -2*h + 10, -j - 4*h = 2*j - 20. Let i be x(j). Determine a, given that -144*a**4 - 216*a**3 - 2/3 - 38/3*a - 84*a**i = 0.
-1, -1/6
Suppose 6 = 2*f, i - 7 - 10 = -4*f. Suppose -8*s + i*s + 18 = 0. Let 3*p**4 - 4*p + 4*p - s*p**2 + 3 = 0. What is p?
-1, 1
Let r be 1485/264*12/15. Factor -t - 2*t**4 + 0 + r*t**2 - 3/2*t**3.
-t*(t - 1)*(t + 2)*(4*t - 1)/2
Let t(n) be the third derivative of n**8/336 - 2*n**7/35 + 23*n**6/120 + 3*n**5/5 - 64*n**2. Suppose t(u) = 0. Calculate u.
-1, 0, 4, 9
Let h(a) be the second derivative of 3/4*a**4 + 0 - 1/7*a**7 + 3/20*a**5 - 3/10*a**6 - 19*a + 1/2*a**3 + 0*a**2. Find d such that h(d) = 0.
-1, -1/2, 0, 1
Let c(o) = 2*o**2 - 6*o. Let z(q) be the third derivative of q**5/20 - 11*q**4/24 - 10*q**2. Let n(j) = 5*c(j) - 2*z(j). Factor n(s).
4*s*(s - 2)
Let l(x) = 4*x - 678. Let b be l(0). Let h = -4730/7 - b. Suppose 94/7*j**3 + 8/7*j - 40/7*j**4 + h - 12*j**2 + 6/7*j**5 = 0. What is j?
-1/3, 1, 2
Let 65/4*z**3 + 1/4*z**4 - 2662 + 693/2*z**2 + 2299*z = 0. What is z?
-22, 1
Suppose 25 = -3*y + 25. Suppose 7*a - 10*a = -6. Find q, given that y + 1/4*q + 1/4*q**a = 0.
-1, 0
Let c(o) = o**2 + 6*o - 12. Let n be c(-8). Solve -2*s - 91*s**5 + 75*s**n - 49*s**5 + 130*s**3 - 75*s**2 + 12*s = 0 for s.
-1, 0, 1/4, 2/7, 1
Let p(d) be the second derivative of -d**7/210 + 4*d**6/75 - 13*d**5/100 - 11*d**4/30 + 16*d**3/15 + 16*d**2/5 - 2*d + 10. Find x such that p(x) = 0.
-1, 2, 4
Suppose -8*v = -12*v. Let t be (-46)/(-14) - 2 - 1. Factor v + 0*o**2 - 2/7*o**4 - t*o**3 + 0*o.
-2*o**3*(o + 1)/7
Let u(f) be the third derivative of -f**5/30 + 15*f**4/2 - 675*f**3 + 24*f**2 + f. Factor u(c).
-2*(c - 45)**2
Let n(x) = x**2 - 9*x - 8. Suppose 10 = -3*y + 40. Let p be n(y). Factor 2/5*a**3 + 0*a**p - 4/5 - 6/5*a.
2*(a - 2)*(a + 1)**2/5
Let c(f) = -3*f - 10. Let d be c(-7). Let i = d - 8. Factor 3 + 4 + 9*v - 1 + i*v**2.
3*(v + 1)*(v + 2)
Let y(c) = -4*c**3 - 12*c**2 + 6*c - 4. Let b(j) = -3*j**3 - 11*j**2 + 5*j - 2. Let o(p) = -6*b(p) + 5*y(p). Find q, given that o(q) = 0.
-1, 2
Let g(i) be the first derivative of 3/5*i**5 - 3 + 3/2*i**4 - 3*i**2 - 3*i + 0*i**3. Factor g(b).
3*(b - 1)*(b + 1)**3
Let j = -34 + 34. Suppose 0*i = 5*i - 3*r - 32, -i - r = j. Factor -5/2*z**i + 0*z + 0*z**2 + z**3 + 0.
-z**3*(5*z - 2)/2
Suppose -3*x = -2*r - x + 24, 4*r - 13 = -3*x. Factor 7*o**2 - 17*o**2 + 2*o**3 + r*o**2 - 10*o + 6 + 5*o**2.
2*(o - 1)**2*(o + 3)
Suppose -5*j + 2*j**5 + 18*j**3 - 20*j + 9*j**2 + 14*j**4 + 5*j - 23*j**2 = 0. What is j?
-5, -2, -1, 0, 1
Suppose -4 = 2*h, -a - 3*h - 2 = -1. Let y be ((-4)/(-10))/(-1 - 6/(-5)). Solve -d**3 - d**y - 5*d**3 - 3*d**2 + d**a + d**5 = 0.
-1, 0, 2
Let v = 2 + 2. Let z = -2 + v. Factor -11 - 84*m - 114*m**z - 1 - 21*m**2.
-3*(5*m + 2)*(9*m + 2)
Let k(f) be the third derivative of 1/168*f**8 + 0 - 2/3*f**4 - 2/15*f**5 + 1/10*f**6 + 0*f + 0*f**3 + 18*f**2 + 1/21*f**7. Factor k(v).
2*v*(v - 1)*(v + 2)**3
Let h(j) be the second derivative of 0 + 0*j**2 - 1/45*j**5 + 0*j**3 - 2/27*j**4 + j. Suppose h(c) = 0. Calculate c.
-2, 0
Let k = 108522 + -431355/4. Let h = k - 680. Suppose -15/4*r**2 - 7/4*r - h*r**3 - 1/4 - r**4 = 0. What is r?
-1, -1/4
Suppose -2*i - 2*i - 16 = 0. Let y be ((-5)/10)/(1/i). Factor -2*t**3 + 4*t**y - 27*t + 0*t**3 + 25*t.
-2*t*(t - 1)**2
Let s(n) = 7*n + 45. Let a be s(-6). Factor 1/3*y**a + y + 1/3 + y**2.
(y + 1)**3/3
Let a = 54 + -49. Suppose 5*w + 3*w**4 - 3*w**4 - 15 + 5*w**a + 20 - 10*w**3 + 5*w**4 - 10*w**2 = 0. Calculate w.
-1, 1
Let n = -149/84876 - -6/643. Let b(d) be the third derivative of 0 + 5*d**2 + 0*d**3 - 1/330*d**5 - n*d**4 + 0*d. Determine w, given that b(w) = 0.
-1, 0
Let b(c) be the second derivative of c**4/102 - 13*c**3/17 - 148*c. Suppose b(t) = 0. What is t?
0, 39
Let c = 233 + -231. Solve 0*z + 2/3*z**3 - c*z**2 + 8/3 = 0 for z.
-1, 2
Find h such that 0 + 7/5*h**3 - 1/10*h**5 + 0*h**2 + 13/10*h**4 + 0*h = 0.
-1, 0, 14
Let d(o) = 10*o**2 - 14*o - 1. Let q(i) = 9*i**2 - 15*i. Let b = 5 + -7. Let r be ((-1)/1 - -8) + b. Let f(s) = r*q(s) - 6*d(s). What is j in f(j) = 0?
-2/5, 1
Suppose 8 = 4*b - 5*r + 3*r, -4*b = 4*r - 20. Let v(f) be the second derivative of -7*f + 1/2*f**3 + 0 - 1/4*f**4 + b*f**2. Factor v(q).
-3*(q - 2)*(q + 1)
Suppose -59*n + 6 = -62*n. Let g be n + 7 - 46/10. Find x, given that 0 - g*x - 2/5*x**2 = 0.
-1, 0
Let g(z) = z**2 - 5*z - 4. Let a be g(6). Let x be 49 - 45 - 2/(-8)*-6. Factor 1 + 3/2*j - x*j**a.
-(j - 1)*(5*j + 2)/2
Let o(l) be the first derivative of l**5/3 + 11*l**4/12 - 11*l**3/3 + 13*l**2/6 + 4*l/3 + 86. Determine w, given that o(w) = 0.
-4, -1/5, 1
Let g(v) be the first derivative of -1/2*v**4 + 7*v**2 - 15 - 8*v - 4/3*v**3. Factor g(q).
-2*(q - 1)**2*(q + 4)
Let k(f) = -2*f + 34. Let w be k(6). Let v = w + -20. Factor -4/7 - 2/7*h**v - 6/7*h.
-2*(h + 1)*(h + 2)/7
Let j be 12/2