t).
2*t*(t - 2)*(t + 1)**2/7
Let z(d) = -2*d**3 + d**2 + d. Let j(i) = -2*i**4 + 8*i**3 - 6*i**2 - 2*i + 2. Let p(n) = -2*j(n) - 12*z(n). Find q such that p(q) = 0.
-1, 1
Factor 2*b**2 + 82 - 10*b - 82.
2*b*(b - 5)
Let n = 17587 - 123100/7. Factor n*t**2 + 0 + 3/7*t**3 - 12/7*t.
3*t*(t - 1)*(t + 4)/7
Let f(r) be the first derivative of -7*r**6/10 - 2*r**5/15 + 2*r**4/3 - 5*r**3/3 - 7. Let q(x) be the third derivative of f(x). Solve q(a) = 0 for a.
-2/7, 2/9
Let m be (18 - 7)/(-11)*108/(-8). Factor -m - 9*n - 3/2*n**2.
-3*(n + 3)**2/2
Let t = 126 + -46. Let 103 + 109 + 108 - t*z + 5*z**2 = 0. Calculate z.
8
Let a = 151 - 149. Suppose -a*i = x - 2*x + 4, -2*i + 2*x = 8. Factor 0*k**3 + 0*k + i*k**2 + 3/5*k**4 + 0.
3*k**4/5
Suppose -4*m = -k - 23, -3*m + k + 11 = -6. Let a(b) = b**2 - 12*b - 3. Let y(u) = -u**2 + 11*u + 2. Let h(i) = m*a(i) + 7*y(i). Suppose h(v) = 0. What is v?
1, 4
Determine g so that 2*g**2 + 10*g**4 - 32/3*g**3 + 0 - 8/3*g**5 + 4/3*g = 0.
-1/4, 0, 1, 2
Let d(i) = -24*i - 21. Let z(b) = b**2 - 25*b - 22. Let a(x) = 4*d(x) - 3*z(x). Factor a(v).
-3*(v + 1)*(v + 6)
Suppose 21*z**2 - 12996 + 456*z - 29*z**2 + 4*z**2 = 0. What is z?
57
Let x(i) be the first derivative of i**3/3 - i**2 - 8*i - 13. Factor x(k).
(k - 4)*(k + 2)
Let y be (-3145)/(-555) - (-3 - (-8)/4). Suppose -128/3 + 152/3*j**2 - 256/3*j - y*j**3 = 0. Calculate j.
-2/5, 4
Let x(m) = -5*m**2 - 4*m. Let k(l) = -l**2 - l. Let u(p) = -9*k(p) + 2*x(p). Let u(n) = 0. What is n?
0, 1
Factor 0 - w**2 + w**4 - w + 1/4*w**5 + 3/4*w**3.
w*(w - 1)*(w + 1)*(w + 2)**2/4
Let z be 8/(-13)*12/(-48). Solve -z - 4/13*a - 2/13*a**2 = 0.
-1
Let g be (3 - 230/80)/1. Let b(v) be the third derivative of -4*v**2 + 1/60*v**5 + 0 + g*v**4 + 1/3*v**3 + 0*v. Factor b(y).
(y + 1)*(y + 2)
Let k be (1 + 0)/((-8)/14 + 3). Let d = k + -29/153. Determine p, given that 5/9*p**2 + 1/9*p**4 - 4/9*p**3 - d*p + 0 = 0.
0, 1, 2
Suppose 27 = -5*v + 14*v. Solve -20*b**2 - 6*b**v + 12*b**3 - b**4 - 4*b**4 + 14*b**3 = 0 for b.
0, 2
Find d, given that -6/7 - 6/7*d**3 + 3/7*d**5 + 12/7*d**2 - 6/7*d**4 + 3/7*d = 0.
-1, 1, 2
Let y = -468 + 22465/48. Let f(k) be the second derivative of -y*k**3 - 1/160*k**5 + 1/48*k**4 + 0 + 0*k**2 - 3*k. Factor f(o).
-o*(o - 1)**2/8
Let i(t) be the third derivative of -t**6/720 + t**5/80 - t**4/24 - t**3/6 - 3*t**2. Let l(x) be the first derivative of i(x). Factor l(w).
-(w - 2)*(w - 1)/2
Suppose -i + 4*b = -46, 142 = -0*i + 5*i + 2*b. Let z be (((-12)/i)/(-1))/((-3)/(-5)). What is p in 0 + 2/3*p**4 - 2/3*p**3 + 0*p + z*p**5 - 2/3*p**2 = 0?
-1, 0, 1
Let y(p) be the third derivative of -3*p**8/112 + 4*p**7/245 + 67*p**6/280 + 9*p**5/70 - p**4/2 - 4*p**3/7 + 45*p**2. Find m such that y(m) = 0.
-1, -2/7, 2/3, 2
Let s(p) be the first derivative of -p**3/2 - 3*p**2/4 + 3*p + 16. Find j such that s(j) = 0.
-2, 1
Let j(g) be the first derivative of 3*g**4/4 - 19*g**3 + 27*g**2 - 204. Find k, given that j(k) = 0.
0, 1, 18
Let k(b) = -b**2 + 1. Let g(a) = -a**3 + 251*a**2 - 16384*a + 5. Let y(j) = -3*g(j) + 15*k(j). Factor y(p).
3*p*(p - 128)**2
Let m(f) be the second derivative of 8/3*f**4 + 0 + 8/3*f**3 + 0*f**2 + 4/21*f**7 - 3/5*f**5 - 2/3*f**6 + 24*f. Solve m(h) = 0.
-1, -1/2, 0, 2
Let o(x) be the third derivative of 1/45*x**5 + 0*x - 2/9*x**3 - 1/45*x**6 - 20*x**2 + 1/12*x**4 + 1/504*x**8 + 0*x**7 + 0. Factor o(n).
2*(n - 1)**3*(n + 1)*(n + 2)/3
Let k(s) be the first derivative of s**3/8 - 3*s**2/2 - 15*s/2 - 204. Solve k(m) = 0.
-2, 10
Suppose -5*p - 9*p + 14 = 0. Let d be p*-2 + (-152)/32 + 7. Factor 1/2*u**2 - d*u**3 + 0 - 1/4*u.
-u*(u - 1)**2/4
Let 0 + 4/9*c**2 + 52/9*c = 0. Calculate c.
-13, 0
Determine c so that 0 - 240*c**2 + 27*c + 243/4*c**4 + 2079/4*c**3 = 0.
-9, 0, 2/9
Let c(i) = -15*i + 2. Let x be c(-1). Let x - 2 - 18*g + 12 + 3*g**2 = 0. Calculate g.
3
Let f be (-9 + 11)*((-12)/2)/((-172)/43). Let 1/2*l**5 - 7/2*l + f*l**3 - 3/2 - l**2 + 5/2*l**4 = 0. Calculate l.
-3, -1, 1
Let z(l) be the first derivative of -l**6/18 - 16*l**5/15 - 7*l**4/2 - 40*l**3/9 - 13*l**2/6 + 105. Let z(g) = 0. What is g?
-13, -1, 0
Let m be 17/51*12/2. Factor -j**4 - 5*j**4 + j**m + 3*j**3 - j**2 + 3*j**5.
3*j**3*(j - 1)**2
Factor 18/17*r**2 + 2020/17*r + 448/17.
2*(r + 112)*(9*r + 2)/17
Let v be 2/45*9 - 130/(-175). Factor 6/7 + 2/7*l**2 + v*l.
2*(l + 1)*(l + 3)/7
Let r(p) be the third derivative of 2*p**7/525 + 37*p**6/300 + 14*p**5/25 - 187*p**4/12 - 484*p**3/15 - 172*p**2 + 2*p. Solve r(f) = 0 for f.
-11, -1/2, 4
Let f(y) = 36*y**3 - 10180*y**2 + 715716*y. Let i(p) = -4*p**3 + 1131*p**2 - 79524*p. Let m(a) = 3*f(a) + 28*i(a). Factor m(n).
-4*n*(n - 141)**2
Let r be 4*26/(-3432)*-12. Determine x, given that 0 + 2/11*x**4 + 6/11*x**5 - r*x - 18/11*x**3 - 18/11*x**2 = 0.
-1, -1/3, 0, 2
Let c(r) be the third derivative of -r**6/24 + 5*r**5/4 - 35*r**4/12 - 296*r**2. Factor c(n).
-5*n*(n - 14)*(n - 1)
Let l be 37/13 - ((-164)/52 + 3). Let -3*u**2 + 9 - 16*u + l*u + 7*u = 0. Calculate u.
-3, 1
Let k(a) be the second derivative of 15*a**7/112 - 41*a**6/80 + 9*a**5/20 - a**4/8 + 12*a + 4. Determine s so that k(s) = 0.
0, 1/3, 2/5, 2
Let y be 119/(-238)*4/(-6). Suppose -y*o**3 - 2 + 11/3*o - 4/3*o**2 = 0. What is o?
-6, 1
Let n(h) be the second derivative of 0 + 1/27*h**3 - 1/108*h**4 + 0*h**2 - 12*h. Suppose n(l) = 0. Calculate l.
0, 2
Let c be (-280)/(-1750)*(10 - 0). Let 2/5*s**3 - c*s - 8/5 + 2/5*s**2 = 0. Calculate s.
-2, -1, 2
Solve -16*k**4 - 230*k**4 - 8*k**5 - 3252*k**3 + 6266*k**2 + 648 - 3960*k + 552*k**4 = 0 for k.
1/4, 1, 18
Let z = -187 - -89. Let x = z + 206. Let -x*k + 872*k**3 - 1144*k**4 - 258*k**2 + 835*k**3 + 588*k**5 + 16 + 8 - 809*k**4 = 0. What is k?
-1/4, 2/7, 1, 2
Let n be (48/(-30))/(4/(-10)). Factor -2*y - 3*y + n*y**2 - 21 - 3*y + 9.
4*(y - 3)*(y + 1)
Let j = -141 + 139. Let b be -1 - j - 4/(-4). Factor -3/5*y**b - 3/5 + 6/5*y.
-3*(y - 1)**2/5
Let y(t) be the first derivative of -4*t**6/27 - 2*t**5/3 + 4*t**4/9 + 10*t**3/9 - 4*t**2/9 - 69. Let y(c) = 0. Calculate c.
-4, -1, 0, 1/4, 1
Let w(c) = c**2 + 16*c - 14. Let x(r) = r**3 + 8*r**2 + 2*r - 1. Let l be x(-8). Let g be w(l). Factor 2*n**g - 9*n**2 + 8*n**2 + 6*n + 18 - 9*n**2.
2*(n - 3)**2*(n + 1)
Let b = -4151/36 + 1040/9. Factor -1/4*m**4 + 0 + 1/4*m**2 + b*m - 1/4*m**3.
-m*(m - 1)*(m + 1)**2/4
Let i(b) be the second derivative of -5/2*b**2 - 7/24*b**4 - 28*b + 0 - 37/12*b**3. Factor i(v).
-(v + 5)*(7*v + 2)/2
Suppose 320*i = 616 + 24. Suppose 1 + 121/4*p**i + 11*p = 0. Calculate p.
-2/11
Let d = -30 + 38. Suppose -10*y**4 + 8*y**3 + 4*y**5 - 3*y**4 - 28*y + 16*y**3 - 7*y**4 + d*y**2 + 12 = 0. Calculate y.
-1, 1, 3
Let j(t) be the first derivative of 7*t**6/15 - t**5/5 - 7*t**4/6 + 2*t**3/3 + 18*t - 21. Let z(u) be the first derivative of j(u). Factor z(x).
2*x*(x - 1)*(x + 1)*(7*x - 2)
Find n, given that 3/8*n**5 + 0*n - 15/8*n**4 + 0 + 0*n**2 + 3/2*n**3 = 0.
0, 1, 4
Let j be -8*2*2/8. Let o = 7 + j. Factor x - 3*x**o - 12*x**2 + 2*x + 12 + 9*x**4 - 3*x**2 - 6.
3*(x - 1)**2*(x + 1)*(3*x + 2)
Let y(r) be the first derivative of -r**4/102 + r**2/17 - 5*r + 11. Let w(l) be the first derivative of y(l). Determine h, given that w(h) = 0.
-1, 1
Let y(k) = k**3 - 2. Let t(h) = -7*h**3 - 2*h**2 + 18*h + 28. Let w(j) = -t(j) - 5*y(j). Suppose w(c) = 0. Calculate c.
-3, -1, 3
Let h(q) = -q**3 - q**2 - 1. Suppose 4*y = 5 + 15. Let g(i) = -2*i**3 + 3*i - 2. Let v(s) = y*g(s) - 15*h(s). Factor v(m).
5*(m + 1)**3
Let x = 13 + -8. Let l(v) = v**3 - 5*v**2 + 2*v - 3. Let f be l(x). Suppose -4*g**2 + 8 + 0*g**2 - f*g + 3*g = 0. What is g?
-2, 1
Let z(w) be the third derivative of w**6/30 - 7*w**5/15 + 4*w**4/3 + 32*w**3/3 - 100*w**2. Factor z(v).
4*(v - 4)**2*(v + 1)
Let o be (6 - -2)/(10 - 8). Let x(w) be the third derivative of -5*w**2 - 1/12*w**3 - 1/20*w**5 + 0*w + 0 - 3/32*w**o - 1/96*w**6. Find z, given that x(z) = 0.
-1, -2/5
Let a(z) be the first derivative of 2*z**5/25 + 3*z**4/10 - 36*z**3/5 + 307. Factor a(g).
2*g**2*(g - 6)*(g + 9)/5
Let s = 10099 - 10097. Suppose 16/11*q**3 - 18/11 + 48/11*q - 2/11*q**4 - 4*q**s = 0. Calculate q.
1, 3
Let v(l) be the second derivative of -1/16*l**4 + 0*l**2 + 1/24*l**3 - 3*l - 1/20*l**5 + 0. What is t in v(t) = 0?
-1, 0, 1/4
Let z be 20/(-90)*1*(3 - 21/6). Factor z*w**4 + 4/3*w**2 -