+ 32/10. Suppose -11*v**2 + 20*v + i*v**f + 11*v**2 - 20*v**2 = 0. Calculate v.
0, 2
Let q(c) be the second derivative of c**5/4 - 395*c**4/12 - 1583*c. Factor q(h).
5*h**2*(h - 79)
Suppose 0 = -2*s + 11 + 29. Let c = 896 - 894. Factor s*x - 4*x**4 + 8 + 3*x**3 - 7*x**3 + 3*x**2 + 3*x**2 + 6*x**c.
-4*(x - 2)*(x + 1)**3
Let c(v) be the first derivative of -29/15*v**3 + 48 - 18/5*v + 39/10*v**2 - 1/25*v**5 + 9/20*v**4. Factor c(b).
-(b - 3)**2*(b - 2)*(b - 1)/5
Let s(w) be the third derivative of 2/5*w**6 - 4*w**2 - 1/14*w**7 - 1/2*w**3 + w**4 - 9/10*w**5 - 2*w + 0. Factor s(i).
-3*(i - 1)**3*(5*i - 1)
Factor 8*x**2 + 0 - 118/15*x - 2/15*x**3.
-2*x*(x - 59)*(x - 1)/15
Let b(i) be the first derivative of i**4/12 + 4*i**3/3 + 9*i**2/2 - 40*i/3 - 487. Determine c, given that b(c) = 0.
-8, -5, 1
Find t such that 30 + 13*t**2 - 35/3*t**3 + 287/3*t + t**4 = 0.
-2, -1/3, 5, 9
Let t(o) = 15*o. Let u be t(3). Suppose -6*x + u = 3. Suppose -3*l**5 + 8*l**5 + 20*l**3 - 27*l**4 + x*l**4 = 0. What is l?
0, 2
Let c = -97 - -101. Factor 100*d**c - 6*d**5 - 185*d**3 + 91*d**2 + 3*d**5 - d**2 - 2*d**5.
-5*d**2*(d - 18)*(d - 1)**2
Let y(u) be the third derivative of -u**7/420 - 27*u**6/320 + 13*u**5/40 + 11*u**4/48 - u**2 + 223. Suppose y(s) = 0. Calculate s.
-22, -1/4, 0, 2
Let c be 2 + (0/(-4))/(10/2). Let f be (-2)/(-3) - (-70)/3. Suppose f*a - 19 + 55 + 2*a**2 + 2*a**c = 0. Calculate a.
-3
Let r(p) be the second derivative of 40/3*p**4 + 15*p**2 - 15/14*p**7 + 18*p - 19/3*p**6 + 2 - 13/2*p**5 + 175/6*p**3. Let r(a) = 0. Calculate a.
-3, -1, -2/9, 1
Let o(b) = -5*b. Let z(s) = s**2 + 13*s + 6. Let w be z(-12). Let l be o(w). Factor l*a - 8*a**2 - 23*a - 4*a**3 - 11*a.
-4*a*(a + 1)**2
Let o(a) be the third derivative of a**7/840 - a**6/40 - 61*a**5/240 - a**4/2 - 5*a**2 - 8*a - 2. Determine n, given that o(n) = 0.
-3, -1, 0, 16
Let n(q) be the third derivative of q**7/1785 + q**6/255 - 217*q**5/510 + 152*q**4/51 - 132*q**3/17 - 3230*q**2 + 2*q. Determine i, given that n(i) = 0.
-18, 1, 2, 11
Let d(t) be the second derivative of 3*t**4/16 - 319*t**3/8 + 159*t**2/4 - 488*t. Let d(l) = 0. Calculate l.
1/3, 106
Let n(a) be the second derivative of -1/5*a**4 - 2/75*a**6 + 0*a**3 - 3*a + 2/105*a**7 - 1/5*a**5 + 0*a**2 - 5. Factor n(b).
4*b**2*(b - 3)*(b + 1)**2/5
Factor -1/2*o + 171 - 1/2*o**2.
-(o - 18)*(o + 19)/2
Let v(z) be the second derivative of z**7/5880 - z**6/280 + 9*z**5/280 + 29*z**4/12 - 206*z. Let i(b) be the third derivative of v(b). Factor i(f).
3*(f - 3)**2/7
Factor 110/3*n + 0 - 37*n**2 + 1/3*n**3.
n*(n - 110)*(n - 1)/3
Let k(m) be the second derivative of -47*m - 22/3*m**3 + 0 - 1/3*m**4 + 24*m**2. Factor k(x).
-4*(x - 1)*(x + 12)
Suppose 2*j + 2*l = 18, -2*j + 2*l - 3 = -3*l. Let p be j - (0 - -2 - -2). Factor -t**2 - 5*t + t**2 + 6 - 12 - t**p.
-(t + 2)*(t + 3)
Let -4670*f + 5828302*f**2 + 511*f**4 - 186*f**4 + 4705*f**3 - 5829987*f**2 - 35*f**5 + 1360 = 0. Calculate f.
-8, -1, 2/7, 1, 17
Suppose 520*d = 1008*d - 511*d + 69. Let f(a) be the third derivative of 1/15*a**4 + 0*a + 0 - 35*a**2 - 1/5*a**d - 1/150*a**5. Factor f(c).
-2*(c - 3)*(c - 1)/5
Let a = -3590/7 - -10882/21. Let p(t) be the first derivative of -a*t**3 + 2*t**2 + 16/5*t**5 - t**4 + 9 + 0*t. Find k, given that p(k) = 0.
-1, 0, 1/4, 1
Let o(k) be the third derivative of 21*k**2 + k - 2/105*k**7 - 8/3*k**4 + 7/30*k**6 + 0*k**3 + 0 - 8/15*k**5. Factor o(t).
-4*t*(t - 4)**2*(t + 1)
Let y(u) = u**4 + 2*u**3 + 6*u**2 - 9*u + 72. Let t(m) = m**4 + m**3 + 7*m**2 - 9*m + 64. Let n(b) = -9*t(b) + 8*y(b). Find z such that n(z) = 0.
0, 1, 3
Factor 30504*g**3 + 0*g + 1/2*g**5 + 0 + 30258*g**2 + 493/2*g**4.
g**2*(g + 1)*(g + 246)**2/2
Let v(g) = 2*g - 4. Let f be v(4). Let x(y) = -y**3 + 6*y**2 - 8*y + 2. Let r be x(f). Factor -5*p**2 + 4*p**r - 4*p - 2 - 4 + 3.
-(p + 1)*(p + 3)
Let l(f) = -3*f**5 - 42*f**4 + 18*f**3 + 81*f**2 - 33*f. Let h(r) = -r**4 + r**3 + r. Let p(j) = 21*h(j) - l(j). Factor p(t).
3*t*(t - 1)**2*(t + 3)*(t + 6)
Find w such that 48/17*w + 0 + 2/17*w**2 = 0.
-24, 0
Factor -155*k**4 + 162*k**2 - 300*k**3 + 26*k**2 - 323*k**2 + 10*k.
-5*k*(k + 1)**2*(31*k - 2)
Let m be 36/(6/(-1)) + 10. Factor -2*y**3 + 1076*y**5 + 4*y**m - y**3 - 1073*y**5 + 2*y**4 - 6*y**2.
3*y**2*(y - 1)*(y + 1)*(y + 2)
Let j(k) be the third derivative of 0*k**3 + 0*k**4 - 110*k**2 + 1/15*k**5 + 0*k + 0 - 1/120*k**6 - 1/420*k**7. Factor j(u).
-u**2*(u - 2)*(u + 4)/2
Let z = -33 + -18. Let c be (1 + z)/(-2) - (8 + -12). Solve -15 + 2*h + c*h - 13*h + 17*h - 10*h**2 = 0.
1/2, 3
Let j(w) be the second derivative of -w**7/21420 + 7*w**6/3060 + w**5/68 - 107*w**4/4 - 310*w. Let t(g) be the third derivative of j(g). Factor t(l).
-2*(l - 15)*(l + 1)/17
Let w(b) be the third derivative of -b**5/15 - 633*b**4 - 2404134*b**3 - 8*b**2 + 110*b. Find v such that w(v) = 0.
-1899
Let i(c) be the first derivative of -c**6/9 + 7*c**5/30 + 25*c**4/12 + 34*c**3/9 + 17*c**2/6 + 5*c/6 + 971. Let i(j) = 0. What is j?
-1, -1/4, 5
Let i be 6/(-21) - 660/(-105). Let p(r) = -24*r**2 - 90*r - 126. Let b(v) = 5*v**2 + 18*v + 25. Let l(c) = i*p(c) + 28*b(c). What is n in l(n) = 0?
-7, -2
Let o(q) be the first derivative of -q**6/6 + 79*q**5/5 - 1675*q**4/4 + 4561*q**3/3 - 2204*q**2 + 1444*q + 5136. Factor o(v).
-(v - 38)**2*(v - 1)**3
Factor -1/3*i**2 - 1316/3 - 220*i.
-(i + 2)*(i + 658)/3
Let i be (-33 - 2) + 21945/627. Let 0*k**2 + 0 + i*k + 2/7*k**5 + 0*k**4 - 2/7*k**3 = 0. What is k?
-1, 0, 1
Let l(u) = -7*u**4 - 8*u**3 + 58*u**2 - 82*u - 4. Let r(y) = 190*y**4 + 220*y**3 - 1565*y**2 + 2215*y + 110. Let p(n) = -55*l(n) - 2*r(n). Factor p(g).
5*g*(g - 2)**2*(g + 4)
Factor -28/11*o**2 + 0 - 2/11*o**3 - 48/11*o.
-2*o*(o + 2)*(o + 12)/11
Let f(n) be the second derivative of 2*n**6/15 - 73*n**5/20 - 221*n**4/6 + 115*n**3/6 - 2*n + 2763. Factor f(c).
c*(c - 23)*(c + 5)*(4*c - 1)
Let h(p) be the first derivative of 17*p**4/4 + 8*p**3/3 + 30. Let k(g) = -4*g**3 - 2*g**2. Let q(b) = 2*h(b) + 9*k(b). Determine m, given that q(m) = 0.
-1, 0
Find s, given that 507 + 447 + 615*s**2 + 1735*s - 175*s**3 - 4 - 5*s**4 = 0.
-38, -1, 5
Let r = -585 + 587. What is d in 2*d**4 - 5*d**r + 2*d**2 - d**5 - d**5 + d**5 + 5*d**3 - 3*d**2 = 0?
-2, 0, 1, 3
Let p(i) = i**2 - 3. Suppose -22 = -y + 5*c, -c + 15 = 3*y - 3. Let r(m) = 3*m**2 - y*m**2 + 3*m**2 + 2. Let z(n) = 7*p(n) + 6*r(n). Let z(a) = 0. What is a?
-3, 3
Suppose 4*r - 2*z - 14 = 0, 2*r + 2*r - 23 = 5*z. Factor 27*b**3 - 5*b**2 - 59*b**4 - 10*b**r + 38*b**4 + 6*b**3 + 3*b**5.
3*b**2*(b - 5)*(b - 1)**2
Let i(t) be the third derivative of t**8/1512 + 4*t**7/945 + t**6/540 - t**5/27 - t**4/27 + 8*t**3/27 + 1779*t**2. Determine y so that i(y) = 0.
-2, 1
Let m(g) be the second derivative of 0*g**2 - 15*g**3 - 35/12*g**4 + 233*g + 0 + 1/4*g**5. Factor m(t).
5*t*(t - 9)*(t + 2)
Suppose 17 = -7*p - 25. Let z(j) = -13*j**4 - 33*j**3 - 24*j**2 + 5*j. Let o(q) = 14*q**4 + 34*q**3 + 24*q**2 - 6*q. Let i(k) = p*z(k) - 5*o(k). Factor i(t).
4*t**2*(t + 2)*(2*t + 3)
Suppose 0*z + 4 = z. Let x(v) = -v**4 - v**3 - v. Let m(g) = g**5 - 7*g**4 - 13*g**3 + 18*g**2 - 14*g. Let q(y) = z*m(y) - 20*x(y). Find b such that q(b) = 0.
-3, 0, 1, 3
Suppose -14*v - 77 + 133 = 0. Suppose 4*i - 9 = -3*q, -5*q + v*q + 5*i = -3. Factor -2/11*u**5 - 10/11*u + 2/11 + 10/11*u**4 - 20/11*u**q + 20/11*u**2.
-2*(u - 1)**5/11
Let w(m) be the third derivative of 1/105*m**7 + 0*m + 1/15*m**5 - m**2 - 1/30*m**6 - 1/12*m**4 + 1/15*m**3 - 1/840*m**8 + 42. Suppose w(g) = 0. Calculate g.
1
Let u(l) be the second derivative of -l**6/15 - 9*l**5/10 + 11*l**4/2 - 35*l**3/3 + 12*l**2 + 1510*l. Factor u(d).
-2*(d - 1)**3*(d + 12)
Let a(r) be the second derivative of -r + 0*r**2 + 1/5*r**5 - 3/7*r**4 + 6/35*r**6 + 2/147*r**7 - 16/21*r**3 + 75. Determine j so that a(j) = 0.
-8, -1, 0, 1
Let n(v) be the second derivative of -44*v + 1/15*v**5 + 0 - 1/135*v**6 + 2/9*v**3 + 0*v**2 - 11/54*v**4. Let n(z) = 0. What is z?
0, 1, 2, 3
Let j(m) be the third derivative of 0*m + 23/84*m**4 + 0 + 1/210*m**5 - 50/21*m**3 + 104*m**2. Factor j(d).
2*(d - 2)*(d + 25)/7
Let k(w) = -w**2 + 3*w + 15. Let h be k(-2). Let -9*f**5 - 4*f**h + f**2 + 6*f**3 + 3*f**2 + 11*f**5 = 0. What is f?
-1, 0, 2
Let o(a) be the second derivative of 3/110*a**5 - 8/33*a**3 + 25 + a + 1/1