 - 11*v**4 + 6*v**5 + v**4 = 0. Calculate v.
0, 2
Let i(q) = -q**2 + 7*q + 25*q**3 - 6*q - 27*q**3. Let t(c) = -4*c**3 + 5*c**2 + 11*c. Let m(o) = 6*i(o) - 2*t(o). Factor m(r).
-4*r*(r + 2)**2
Suppose 21*l - 25*l + 4 = 0. Let k be (l - -1) + (3 - (-1 + 1)). Suppose -729/2*n**k + 972*n**4 - 1809/2*n**3 + 4 + 355*n**2 - 62*n = 0. What is n?
2/9, 1
Let b(g) be the third derivative of g**6/120 + 3*g**5/40 - g**4/2 - 31*g**3/6 - 2*g**2 + 128. Let a(c) be the first derivative of b(c). Factor a(m).
3*(m - 1)*(m + 4)
Let c(i) = -5*i**2 - i + 1. Let g(m) = -120*m**2 + 4295*m + 933145. Let h(w) = -25*c(w) + g(w). Find o, given that h(o) = 0.
-432
Let t be ((-14)/(-392))/((-26)/12)*1126. Let u = t - -131/7. Solve -8/13 - u*x**2 - 10/13*x**3 + 2/13*x**5 + 16/13*x + 2/13*x**4 = 0 for x.
-2, 1
Let q(u) be the first derivative of -1/36*u**6 + 0*u**3 - 3/2*u**4 + 0*u + 2/5*u**5 - 14 + 0*u**2. Factor q(m).
-m**3*(m - 6)**2/6
Let c(p) = p**3 - 6*p**2 - 19*p - 4. Let d(l) = 3*l**3 - 7*l**2 - 19*l - 3. Let g(t) = 3*c(t) - 4*d(t). Solve g(j) = 0 for j.
-1, 0, 19/9
Let s(c) be the third derivative of c**8/1176 - 8*c**7/735 + 31*c**5/105 - 97*c**4/84 + 2*c**3 + 3*c**2 - 199*c. Find x, given that s(x) = 0.
-3, 1, 2, 7
Let x(z) be the second derivative of z**4/4 + 45*z**3/2 + 300*z**2 - 277*z - 1. What is o in x(o) = 0?
-40, -5
Suppose 91 + 564*y + 76 - 294*y**2 - 224 - 141*y**3 + 72*y**4 + 81 = 0. What is y?
-2, -1/24, 2
Determine y so that -544*y**3 - 3121*y - 59087*y + 17*y**2 + 21847 + 9919*y**2 + 10*y**4 + 1481 = 0.
2/5, 18
Let d(x) be the first derivative of x**6/120 + 3*x**5/40 + x**4/4 + 5*x**3/12 + 3*x**2/8 - 250*x + 263. Let h(j) be the first derivative of d(j). Factor h(m).
(m + 1)**3*(m + 3)/4
Let d(i) be the third derivative of i**5/20 + 17*i**4/8 + 33*i**3 + 9*i**2 - 16*i. Solve d(a) = 0.
-11, -6
Let t(n) be the first derivative of -n**6/6 - 6*n**5/5 - 2*n**4 + 2*n**3/3 + 9*n**2/2 + 4*n - 936. Let t(p) = 0. What is p?
-4, -1, 1
Let s(i) be the first derivative of i**7/315 - 19*i**6/360 - i**5/18 + 51*i**2/2 + 102. Let j(f) be the second derivative of s(f). Factor j(q).
q**2*(q - 10)*(2*q + 1)/3
Let t = 333 - 368. Let p be ((-24)/t)/((-64)/(-30) + -2). Suppose p*z - 12/7 + 18/7*z**3 - 3/7*z**4 - 39/7*z**2 = 0. What is z?
1, 2
Let p be (-44)/440*510/(-204). Solve -1/4*s**4 - p*s + 7/4*s**2 - 3/2 + 1/4*s**3 = 0.
-2, -1, 1, 3
Let k be (-501475)/(-95095) - (-2 + 4)/(-14). Let f = k - 96/19. Let -2/11*q**3 - f*q**2 + 0 + 0*q = 0. Calculate q.
-2, 0
Let s(j) be the second derivative of 133/18*j**3 - 84*j + 49/6*j**2 - 41/36*j**4 + 1/20*j**5 + 0. Factor s(n).
(n - 7)**2*(3*n + 1)/3
Determine t so that -23*t**2 + 1632*t - 4*t**4 + t**4 - 1643*t + 2*t**4 + 11*t**3 + 24 = 0.
-1, 1, 3, 8
Let j(x) = -3*x**3 + 30*x**2 + 13*x - 6. Let l(y) = 2*y**3 - 28*y**2 - 14*y + 4. Let f(a) = 6*j(a) + 7*l(a). Factor f(h).
-4*(h + 1)**2*(h + 2)
Let z = 252 + -250. Factor 4750*c**2 - 4768*c**z + c**3 + 28*c + c**3.
2*c*(c - 7)*(c - 2)
Factor 305/6*a + 1/12*a**2 + 93025/12.
(a + 305)**2/12
Let x(r) be the second derivative of -36*r**2 - 2 + 1/10*r**5 - 5/6*r**4 - 32/3*r**3 - 127*r. Factor x(u).
2*(u - 9)*(u + 2)**2
Let h(n) be the first derivative of -7*n**4/16 - 1349*n**3/12 - 286*n**2 + 191*n + 1357. Factor h(w).
-(w + 2)*(w + 191)*(7*w - 2)/4
Let z be (-4)/(-9) - (-56)/16*219/189. Let 6 - 3/2*d**2 - z*d = 0. Calculate d.
-4, 1
Let y = -723 + 728. Factor -y*v**3 - 7*v + 56 + 8*v + 5*v**2 + 19*v - 76.
-5*(v - 2)*(v - 1)*(v + 2)
Suppose -6371 + 6611 - 11*m**2 - 248*m - m**3 + 280*m = 0. Calculate m.
-12, -4, 5
Let l(y) be the second derivative of -y**9/2520 - 11*y**8/2240 - 13*y**7/840 - y**6/60 - y**4 - 31*y - 1. Let f(z) be the third derivative of l(z). Factor f(q).
-3*q*(q + 1)*(q + 4)*(2*q + 1)
Suppose -31 - 35 + 4*m**2 + 72*m - 94 = 0. Calculate m.
-20, 2
Let a(m) be the first derivative of -m**6/270 + m**5/360 + 20*m**3/3 + m**2/2 + 267. Let h(f) be the third derivative of a(f). Let h(n) = 0. What is n?
0, 1/4
Let x(s) be the third derivative of -s**6/30 - 66*s**5 - 40672*s**4 + 984064*s**3/3 - 19*s**2 - 106*s. Solve x(a) = 0 for a.
-496, 2
Let y(n) = -637*n + 3824. Let v be y(6). Solve 1 - 4*a - 5/4*a**4 + 1/4*a**v - 7/4*a**5 + 23/4*a**3 = 0 for a.
-2, -1, 2/7, 1
Let o = 390079/780166 - -2/390083. Suppose -4*x - 4*s + 12 = 0, -5*x + 6 = -3*x + 3*s. Let -3/4*c - 3*c**4 - o + 7/4*c**5 - c**x + 7/2*c**2 = 0. What is c?
-1, -2/7, 1
Let q(o) be the third derivative of o**5/210 + 29*o**4/6 + 5887*o**3/3 + 1072*o**2. Factor q(m).
2*(m + 203)**2/7
Let p(c) be the second derivative of c**5/50 + 91*c**4/15 - 148*c**3/3 + 744*c**2/5 + 455*c - 1. Find a, given that p(a) = 0.
-186, 2
Let r = -197 - -211. Let l be (r - (-1557)/(-108))*(-3)/2. Factor l*p**3 - 1/4*p**2 - 3/8*p**4 + 0 + 0*p.
-p**2*(p - 1)*(3*p - 2)/8
Let z(c) = c**5 + 6*c**4 - c**3 + c + 1. Let r(j) = -38*j**5 - 126*j**4 + 47*j**3 + 96*j**2 - 14*j - 5. Let f(d) = -r(d) - 5*z(d). Determine s so that f(s) = 0.
-3, -1, 0, 1/11, 1
Let w(q) be the second derivative of -q**4/132 + 211*q**3/33 - 44521*q**2/22 + 2*q + 85. Determine x, given that w(x) = 0.
211
Let f(j) = -8*j**3 + 112*j**2 + 110*j + 128. Let n(o) = 15*o**3 - 224*o**2 - 240*o - 254. Let s(a) = 11*f(a) + 6*n(a). Find r such that s(r) = 0.
-1, 58
Let j be (-2)/(-10)*-5 + 4. Suppose -2 = 3*v + 4*s + 8, -j*v + 2 = s. Factor 30*m**3 - 27*m**v + 36/5*m - 3/5.
3*(2*m - 1)*(5*m - 1)**2/5
Let t(a) be the second derivative of -a**5/100 + 3*a**4/10 - 71*a**3/30 + 39*a**2/5 + 801*a - 3. Solve t(n) = 0.
2, 3, 13
Find m, given that 0*m**4 + 3283344*m**2 - 6582*m**3 - 128819 + 128819 - 666*m**3 + 4*m**4 = 0.
0, 906
Let k(p) be the second derivative of -2/9*p**4 + 10*p - 1/90*p**5 + 11*p**2 + 0 - 4/3*p**3. Let g(s) be the first derivative of k(s). Let g(c) = 0. Calculate c.
-6, -2
Let b = -1770 + 1767. Let h be b/4*6 - -9. Factor 0*o**3 + 12*o - h - 9*o**2 + 3/2*o**4.
3*(o - 1)**3*(o + 3)/2
Let o(i) be the second derivative of 5/6*i**3 + 0*i**2 + 5/3*i**4 + 0 + 8*i. Factor o(d).
5*d*(4*d + 1)
Let a(u) be the second derivative of u**7/42 + 4*u**6/15 - 33*u**5/20 + u**4/3 + 22*u**3/3 - 15*u - 27. Suppose a(x) = 0. What is x?
-11, -1, 0, 2
Let s = 1067/4 - 266. Let z(q) be the third derivative of -s*q**4 + 9/2*q**3 + 5*q**2 + 0*q + 0 + 1/20*q**5. Solve z(b) = 0 for b.
3
Let m(p) = p**3 - p**2 + 17*p - 70. Let b be m(5). Let d = b + -803/7. Solve -6/7*q**4 + 0 + 0*q - 8/7*q**3 - d*q**2 = 0.
-1, -1/3, 0
Let o = -6 + 4. Let f be 1/(-2)*o*(-4 + 6). Let -3*n**f + 3*n**3 + 11*n - 12*n - 5*n = 0. What is n?
-1, 0, 2
Let n = -15499 - -15507. Let q(s) be the first derivative of s**2 - 1/12*s**3 - 7/4*s - n. Factor q(c).
-(c - 7)*(c - 1)/4
Let p(o) be the first derivative of -o**4/6 - 46*o**3/9 - 175*o**2/3 - 294*o + 12218. Suppose p(n) = 0. What is n?
-9, -7
Let u(c) be the third derivative of 5/18*c**4 + 1/90*c**5 + 16/9*c**3 + 6*c**2 + 0 + 4*c. Let u(o) = 0. What is o?
-8, -2
Let l(q) be the first derivative of q**6/2 - 12*q**5 + 327*q**4/4 - 18*q**3 - 972*q**2 - 64. Factor l(y).
3*y*(y - 9)**2*(y - 4)*(y + 2)
Factor -2608/5*l - 2/5*l**4 - 228/5*l**3 - 1728/5 - 264*l**2.
-2*(l + 2)**3*(l + 108)/5
Let n be 26/39 - (-598)/60. Let k = -11/6 + n. Suppose -18*h**5 - 138/5*h**4 - 2/5*h - 2/5 + k*h**2 - 4/5*h**3 = 0. What is h?
-1, -1/5, 1/3
Let j(q) be the third derivative of 0*q + 13/100*q**5 - 17/350*q**7 + 10*q**2 - 1 - 2/25*q**6 + 1/2*q**4 + 2/5*q**3 - 1/140*q**8. Let j(o) = 0. What is o?
-2, -1, -1/4, 1
Let v be 6 + 1 + -7 + 71. Suppose -3*f = 62 - v. Factor 1/6*z**4 + 1/2 + 5/3*z + 2*z**2 + z**f.
(z + 1)**3*(z + 3)/6
Let d(n) = -3*n + 32. Let b be d(10). Suppose 0 = b*r - 5*r + 27. What is o in r*o**3 - 3*o**4 - 2*o**3 - 10*o**3 = 0?
-1, 0
Let l(o) = 22*o**2 + 161*o - 30. Let b(g) = 111*g**2 + 801*g - 150. Let v(d) = -4*b(d) + 21*l(d). Factor v(r).
3*(r + 10)*(6*r - 1)
Factor 216/5*f**3 - 66/5*f**4 + 0 + 15*f - 3/5*f**5 - 222/5*f**2.
-3*f*(f - 1)**3*(f + 25)/5
Let k = -819 + 501. Let y be ((-1)/5)/(53/k). Solve -y - 3/5*h + 3/5*h**2 = 0 for h.
-1, 2
Let f(p) = 21*p**2 + 9*p + 12. Let t(z) = -17*z**2 - 9*z - 15. Let y(s) = -5*f(s) - 6*t(s). Factor y(x).
-3*(x - 5)*(x + 2)
Let h(j) be the second derivative of 1/180*j**5 - 1/360*j**6 + 1/36*j**4 + 0*j**3 - 16*j**2 + 0 - 23*j. Let b(o) be the f