erivative of r(o). Factor f(a).
5*a**3*(a - 1)*(a + 1)
Let x(z) = -6*z**2 + 21*z + 29. Let b(c) = -8*c - 7. Let q be b(-3). Let i(t) = -2*t**2 + 7*t + 10. Let l(f) = q*i(f) - 6*x(f). Factor l(p).
(p - 4)*(2*p + 1)
Let m(d) be the second derivative of 11*d**6/75 + 29*d**5/50 + 7*d**4/30 - 29*d**3/15 - 18*d**2/5 - 35*d - 2. Suppose m(s) = 0. Calculate s.
-18/11, -1, 1
Let -23*c**3 + 16*c**4 + 52*c**2 + 13*c**5 - 56*c**2 + 0*c**4 + 8*c - 13*c**3 + 3*c**5 = 0. Calculate c.
-2, -1/2, 0, 1/2, 1
Let f(c) be the second derivative of 81*c**7/35 + 108*c**6/25 - 9*c**5/10 - 139*c**4/45 + 92*c**3/45 - 8*c**2/15 + 35*c. Solve f(y) = 0.
-1, 2/9
Let b(z) be the first derivative of -z**3/27 + 43*z**2/9 - 1849*z/9 - 382. Factor b(w).
-(w - 43)**2/9
Let f(o) = -7*o**2 - 6*o + 6. Let d(b) = -b**2 + 8*b - 5. Let h be d(8). Let y = -3 + -3. Let p(l) = 6*l**2 + 5*l - 5. Let w(u) = h*f(u) + y*p(u). Factor w(j).
-j**2
Let p(f) be the second derivative of 3*f + 7/80*f**5 - 3/8*f**2 + 0 + 1/16*f**4 - 7/24*f**3. Factor p(r).
(r - 1)*(r + 1)*(7*r + 3)/4
Let k(r) be the third derivative of -r**5/60 - 5*r**4/3 + 41*r**3/6 - 157*r**2 - 1. Factor k(j).
-(j - 1)*(j + 41)
Suppose 54 = -23*d + 123. Let w(b) be the second derivative of -2*b**3 + 1/3*b**4 + d*b + 4*b**2 + 0. Factor w(a).
4*(a - 2)*(a - 1)
Let w(y) = -y**2 + 32*y - 205. Let m be w(9). Solve -1/7*h + 1/7*h**m + 0 = 0 for h.
0, 1
Let j(h) be the second derivative of 3*h**5/80 + h**4/16 - 13*h**3/4 + 9*h**2 - 51*h. Find t such that j(t) = 0.
-6, 1, 4
Let x(s) be the third derivative of -s**7/420 - 7*s**6/120 + s**5/8 + 124*s**2. Determine l, given that x(l) = 0.
-15, 0, 1
Suppose -11*h + 10*h = -10. Factor -h*m**3 - 12 + 2*m + 18*m + 5*m**2 - 3.
-5*(m - 1)**2*(2*m + 3)
Let k(d) be the second derivative of 0 - 8*d + 7/2*d**2 + 1/12*d**4 + 0*d**3. Let u(i) = -i**2 + i - 6. Let p(c) = 3*k(c) + 4*u(c). Factor p(a).
-(a - 3)*(a - 1)
Find a such that -1/2*a**2 - 1/2*a + 1 = 0.
-2, 1
Let q(k) = k**5 - 29*k**4 + 92*k**3 - 109*k**2 + 51*k - 3. Let i(h) = 2*h**5 - 30*h**4 + 92*h**3 - 110*h**2 + 50*h - 2. Let f(w) = 3*i(w) - 2*q(w). Factor f(a).
4*a*(a - 3)*(a - 2)**2*(a - 1)
Let -6*s**3 + 4/7*s**4 + 6/7*s**5 - 24/7*s - 64/7*s**2 + 0 = 0. Calculate s.
-2, -1, -2/3, 0, 3
Let -1/2*f**3 + 0 + 1/2*f**4 + 1/2*f - 1/2*f**2 = 0. What is f?
-1, 0, 1
Let g be (-3)/((-9)/(-14))*-3. Let q = 451 + -446. Factor 16*t**2 - g*t - 4*t**4 + 4 - 4*t**3 + 0 + t**5 + 3*t**5 - 2*t**q.
2*(t - 1)**4*(t + 2)
Let u = -381 + 763/2. Let t(d) be the first derivative of -2/3*d**3 + 2/5*d**5 - 6 + 0*d + 0*d**2 - 1/3*d**6 + u*d**4. Factor t(r).
-2*r**2*(r - 1)**2*(r + 1)
Suppose -9*t = -12*t - 18. Let m be 24/t - 28/(-6). What is v in -m - 10/3*v**5 - 59/3*v**3 - 43/3*v**2 - 5*v - 13*v**4 = 0?
-1, -1/2, -2/5
Find x such that x**2 - 76*x + 6 + 38*x + 31*x = 0.
1, 6
Let v(y) = -y**2 - y - 1. Suppose 5*d = -0*d. Let j be v(d). Let w(r) = 4*r**2 - 4*r + 2. Let q(o) = 1. Let u(k) = j*w(k) + 2*q(k). Factor u(f).
-4*f*(f - 1)
Let s = 11067/5 + -2211. Determine u so that -8/5 + 12/5*u**3 + 4/5*u**4 + 4/5*u**2 - s*u = 0.
-2, -1, 1
Let u(x) be the third derivative of 3/2*x**4 - 2 + 0*x**7 - 1/5*x**5 - 13*x**2 - 9/40*x**6 + 0*x**3 + 1/112*x**8 + 0*x. Find j, given that u(j) = 0.
-2, 0, 1, 3
Find x, given that -2/5 - 1/5*x**2 + 3/5*x = 0.
1, 2
Let t(z) be the first derivative of -7 - 1/6*z**3 + 1/2*z + 1/8*z**4 - 1/4*z**2. Suppose t(u) = 0. What is u?
-1, 1
Let j(t) be the second derivative of -12*t + 0 - 1/12*t**4 + 5/2*t**2 + 2/3*t**3. Determine c, given that j(c) = 0.
-1, 5
Let r be 286/(-36) - -7 - (-3 - -2). Let i(k) be the third derivative of 0*k**3 + 0*k + 0 + 6*k**2 + 1/90*k**5 - r*k**4. Find t such that i(t) = 0.
0, 2
Let w(f) be the second derivative of -f**7/294 - 59*f**6/210 - 389*f**5/70 + 1349*f**4/42 - 403*f**3/6 + 961*f**2/14 + 7*f - 2. Factor w(h).
-(h - 1)**3*(h + 31)**2/7
Let o(p) = 7*p - 37. Let f be o(6). Let x(k) = -k + 5. Let u be x(f). Suppose -2/13*c**3 + 0*c**2 - 8/13*c**4 + 0*c + u + 10/13*c**5 = 0. Calculate c.
-1/5, 0, 1
Let k(b) be the first derivative of -b**6/9 - 24*b**5/5 - 35*b**4/6 - 352. Solve k(t) = 0 for t.
-35, -1, 0
Determine l, given that 1487 - l**2 + 13*l - 2290 - 129*l - 2561 = 0.
-58
Let g(w) = -10*w**3 + 20*w**2. Let q(f) = -11*f**3 + 21*f**2 + 0*f**3 + 4*f - 4*f. Let p(c) = -6*g(c) + 5*q(c). Factor p(b).
5*b**2*(b - 3)
Let a be (4 - (-114)/(-24))*(-16)/6. Factor -35*z**a + 0 + 4*z**3 - 29*z**2 + 0 + 256*z.
4*z*(z - 8)**2
Let y(l) be the third derivative of -15*l**2 + 0*l**3 - 1/36*l**4 + 0*l + 0 + 1/315*l**7 + 1/180*l**6 - 1/90*l**5. What is c in y(c) = 0?
-1, 0, 1
Suppose 2188*z + 468 = 2266*z. Factor 9/2*w**4 + z*w**2 - 25/2*w**3 + 0 + 2*w.
w*(w - 2)*(w - 1)*(9*w + 2)/2
Suppose -513 - 907 = 10*q. Let g = -140 - q. Factor -1/3*k + 4/3*k**2 + 0 + 4/3*k**4 - g*k**3 - 1/3*k**5.
-k*(k - 1)**4/3
Suppose -3 = p - 4*s, 4*p - 5*s = 5*p - 15. Factor 1 + p*l + l - 3 - 6 + 2*l**2.
2*(l - 1)*(l + 4)
Let r(w) be the second derivative of w**5/170 - 13*w**4/102 + 4*w**3/17 - 9*w. Factor r(i).
2*i*(i - 12)*(i - 1)/17
Suppose 1/2*f**3 - 1/2*f**2 + 0 - 3*f = 0. What is f?
-2, 0, 3
Let b(a) be the first derivative of -a**6/1800 - a**5/600 + 4*a**3 + 5. Let q(t) be the third derivative of b(t). Factor q(f).
-f*(f + 1)/5
Let s = 29/22 - 27/22. Let n(c) be the second derivative of s*c**3 + 2/11*c**2 + 1/66*c**4 - 12*c + 0. Factor n(f).
2*(f + 1)*(f + 2)/11
Let s be 13 + 24 + 660/(-18). Factor -2 - s*l**2 - 7/3*l.
-(l + 1)*(l + 6)/3
Let x be (3 + -2)*(-5 - (-312)/56). Factor -1/7*a**5 - x*a**2 - 6/7*a**3 - 4/7*a**4 + 0 - 1/7*a.
-a*(a + 1)**4/7
Let m(s) = -6*s - 1. Let h be m(-1). Let 21*v + 0 - 7*v**3 + 24*v**4 - 5*v**3 - 4 - 18*v**2 - 2 - 9*v**h = 0. What is v?
-1, 2/3, 1
Let s be (36/(-45))/((-6)/15). Factor -29 - 10*h - 2*h**3 + 12*h**s + 29.
-2*h*(h - 5)*(h - 1)
Let k(p) be the first derivative of -9*p**4/20 + 71*p**3/5 - 612*p**2/5 - 432*p/5 + 75. Find y such that k(y) = 0.
-1/3, 12
Let r(z) = -2*z**3 - 28*z**2 + 18. Let u(q) = 3*q**3 + 57*q**2 + q - 39. Let p(l) = -13*r(l) - 6*u(l). Suppose p(h) = 0. What is h?
-3, 0, 1/4
Suppose 5*d - 3*n - 8 = 0, 3*n = -4*d + 2*n + 20. Suppose -5*t = -y + 3*y - 24, t - 8 = -2*y. Factor -3*f**2 + 2*f**4 - f**d + 2*f**t + 0*f**4.
3*f**2*(f - 1)*(f + 1)
Let k(d) be the third derivative of -d**9/362880 + d**8/40320 - d**6/1080 + d**5/12 + 4*d**2. Let j(f) be the third derivative of k(f). Factor j(u).
-(u - 2)**2*(u + 1)/6
Let x = -7 + 11. Let t = -32 + 35. Factor 0*m**3 - 3*m**2 + 7*m - 6*m - m**x + 6*m**2 - m**t - 2.
-(m - 1)**2*(m + 1)*(m + 2)
Suppose -14/5*g**2 + 3/5*g**3 - 6/5 + 17/5*g = 0. What is g?
2/3, 1, 3
Find p such that 0*p**2 + 0 + 9*p**3 - 1/2*p**5 + 0*p + 7/2*p**4 = 0.
-2, 0, 9
Let m(r) = r**2 + 2*r + 2. Let z(f) = -7*f**2 - 13*f - 14. Let t(j) = 40*m(j) + 5*z(j). Factor t(i).
5*(i + 1)*(i + 2)
Let l = 429/2 + -214. Let g(q) be the first derivative of -q - l*q**2 - 1/12*q**3 - 1. Factor g(b).
-(b + 2)**2/4
Let p be (2/5)/(-1) + (-117)/(-5). Let a = 139/6 - p. Factor -1/6*i**3 + 1/6*i - a*i**2 + 1/6*i**4 + 0.
i*(i - 1)**2*(i + 1)/6
Let p(d) be the third derivative of 5*d**2 + 1/120*d**4 - 11/300*d**6 + 0 + 0*d + 1/75*d**7 - 1/560*d**8 - 1/15*d**3 + 1/25*d**5. Solve p(h) = 0 for h.
-1/3, 1, 2
Let s = 1305 + -1303. Let g(t) be the first derivative of -1/7*t**3 + 9/28*t**4 + 0*t + 3/35*t**5 - 4 - 3/7*t**s - 1/14*t**6. Find a, given that g(a) = 0.
-1, 0, 1, 2
Let j(h) be the second derivative of h**7/12600 + h**6/1800 - 19*h**4/12 - 21*h. Let l(z) be the third derivative of j(z). Factor l(d).
d*(d + 2)/5
Let k(h) be the first derivative of -h**4/12 - 4*h**3/9 - h**2/2 - 33. What is o in k(o) = 0?
-3, -1, 0
Let t(o) = o**3 + 55*o**2 - 506*o - 124. Let l be t(-63). Factor -32*i + 64/3 + 12*i**l - 4/3*i**3.
-4*(i - 4)**2*(i - 1)/3
Let d(a) be the third derivative of 1/2184*a**8 + 0 + 0*a**6 - 1/156*a**4 + 2/1365*a**7 + a**2 + 0*a**3 + 0*a - 1/195*a**5. Let d(c) = 0. What is c?
-1, 0, 1
Let n = 5905/6 - 984. What is y in 1/6*y**2 - n*y - 1/3 = 0?
-1, 2
Let x(f) = 18*f**2 - 38*f - 18. Let p = -108 - -114. Let n(g) = 37*g**2 - 77*g - 37. Let t(d) = p*n(d) - 13*x(d). Let t(z) = 0. What is z?
-1/3, 3
Let m(n) = -n**3 - 7*n**2 + n + 7. Let u be m(-7). Let b be 0 - (-13)/(-52) - (-1)/4. What is i in b*i 