3 - p. Factor x - x**2 - j + 1/3*x**3.
(x - 1)**3/3
Let s(z) be the second derivative of -2*z + 2/21*z**4 + 1/70*z**5 + 5/21*z**3 + 0 + 2/7*z**2. Solve s(y) = 0 for y.
-2, -1
Let t = -16 - -20. Let r be 0/((-2)/(4/t)). Let -2/3*q**2 + 0 + r*q + q**3 - 1/3*q**4 = 0. Calculate q.
0, 1, 2
Let a(v) be the second derivative of -v**7/240 - v**6/360 - v**3/3 - 2*v. Let c(j) be the second derivative of a(j). Let c(u) = 0. Calculate u.
-2/7, 0
Let d(p) be the third derivative of -p**7/420 + p**6/45 - p**5/12 + p**4/6 - p**3/6 + 2*p**2. Let k(i) be the first derivative of d(i). Factor k(w).
-2*(w - 2)*(w - 1)**2
Let z = -34 + 104/3. Let k(f) be the first derivative of -1/2*f**2 + 0*f - 1/4*f**4 + 2 + z*f**3. Let k(x) = 0. What is x?
0, 1
Factor -1/2*n + n**2 - 1/2*n**3 + 0.
-n*(n - 1)**2/2
Let x be 243/(-4) + (-12)/48. Let t = 245/4 + x. Factor t*m + 0 + 3/4*m**3 + m**2.
m*(m + 1)*(3*m + 1)/4
Let c(q) = q**3 - 9*q**2 - 11*q + 5. Let w be c(10). Let f be (w/2)/((-9)/12). Let 16/9*p - 32/9*p**4 - 16/9*p**3 + 2/9 + f*p**2 = 0. What is p?
-1, -1/4, 1
Let d(k) be the first derivative of k**4/30 - 4*k**3/15 + 4*k**2/5 + k - 3. Let z(i) be the first derivative of d(i). Determine r so that z(r) = 0.
2
Factor 0 + 6/5*b**2 + 4/5*b + 2/5*b**3.
2*b*(b + 1)*(b + 2)/5
Let v(c) = c**2 - 3*c - 10. Let w be v(5). Let j(h) be the third derivative of -1/12*h**4 - 1/12*h**5 - 2*h**2 + w + 0*h**3 + 0*h. Determine k so that j(k) = 0.
-2/5, 0
Let a(k) be the first derivative of -2*k**3/15 - k**2/5 + 4*k/5 + 1. Determine d so that a(d) = 0.
-2, 1
Let a(k) = -k**3 + k**2 + 6*k - 2. Let u be a(4). Let v = -22 - u. Factor 2/13*l - 2/13*l**3 - 2/13*l**2 + 0 + 2/13*l**v.
2*l*(l - 1)**2*(l + 1)/13
Let f(l) be the second derivative of -7/12*l**4 + 3/2*l**3 + 0 - l**2 + 2*l. Factor f(c).
-(c - 1)*(7*c - 2)
Let i(f) = -f + 7. Let h be i(5). Factor 0*l**h + 4/3 + 2*l - 2/3*l**3.
-2*(l - 2)*(l + 1)**2/3
Let q(b) be the second derivative of b**7/3780 - b**5/180 + b**4/3 + 5*b. Let s(g) be the third derivative of q(g). Solve s(i) = 0.
-1, 1
Let u(a) be the third derivative of a**7/10 + a**6/20 - 7*a**5/20 - a**4/4 - 2*a**2. Determine q, given that u(q) = 0.
-1, -2/7, 0, 1
Let m(b) be the second derivative of 4*b - 3/35*b**5 + 4/105*b**6 + 0 - 1/147*b**7 + 2/21*b**4 - 1/21*b**3 + 0*b**2. Suppose m(o) = 0. What is o?
0, 1
Suppose 2*v + 4*w = 8, 0 = 3*v - 5*v - 2*w + 8. Factor -3*d - 6*d**2 - d**5 + 4*d**4 - v*d**5 + 2*d**5 + 3 + 6*d**3 - d**4.
-3*(d - 1)**3*(d + 1)**2
Let k(h) be the second derivative of h**7/945 - h**2/2 - 4*h. Let l(b) be the first derivative of k(b). Let l(x) = 0. Calculate x.
0
Suppose 0 = 2*c + z + 165, -c - 76 = -2*z - 6. Let j = -238/3 - c. Factor 1/3*b**5 - 1/3*b + j*b**2 + 0*b**3 - 2/3*b**4 + 0.
b*(b - 1)**3*(b + 1)/3
Let c be (-3 + (-63)/(-20))/((-4)/(-20)). Factor -c*f**5 + 3/2*f + 9/4*f**3 + 0 + 3/4*f**4 - 15/4*f**2.
-3*f*(f - 1)**3*(f + 2)/4
Suppose -3*d - 5*m + 5 = -7, 5*d + 5*m = 20. Suppose 5*c - 46 = d. Factor 38*k**3 + k**2 + 45*k**4 + 11*k**2 + c*k**3.
3*k**2*(3*k + 2)*(5*k + 2)
Let l(k) = -k. Let f be l(0). Let c(j) be the first derivative of 0*j - 1 + 1/16*j**4 + f*j**3 - 1/8*j**2. Find b such that c(b) = 0.
-1, 0, 1
Let m = -8 - -13. Let p be -6 + -6*11/(-9). Factor 0 + 0*f + 0*f**2 - p*f**3 + 10/3*f**4 + 14/3*f**m.
2*f**3*(f + 1)*(7*f - 2)/3
Suppose -2*k - 2 - 4 = 0. Let d be (-10)/(-4) + k/(-2). Factor -1/3*c**3 + 0 + 0*c + 0*c**d + 0*c**2 + 1/3*c**5.
c**3*(c - 1)*(c + 1)/3
Let q(j) = -10*j**2 - 60*j - 175. Let s(l) = 11*l**2 + 60*l + 174. Let w(k) = 6*q(k) + 5*s(k). Find v such that w(v) = 0.
-6
Suppose 0 = -4*t - 2 + 26. Suppose -a - t = -3*a. Factor x**3 - 4*x**2 - a + x**2 + 7.
(x - 2)**2*(x + 1)
Let l(b) = -b**2 + 4*b. Let s be l(3). Suppose -5*v + 30 = 4*j, -2*v = j + s*j - 24. Factor 0 - t**3 - 1/2*t - 3/2*t**v.
-t*(t + 1)*(2*t + 1)/2
Let u(t) = 2*t**4 + 3*t**3 - 2*t**2 - 3. Let d(a) = 2*a**4 + 2*a**3 - 2*a**2 - 2. Let v(h) = 6*d(h) - 4*u(h). Factor v(m).
4*m**2*(m - 1)*(m + 1)
Let i = 1268/21 + -12/7. Let d(t) be the first derivative of i*t**2 + 448/3*t**3 + 2 + 32/3*t + 686/15*t**5 + 490/3*t**4. Factor d(s).
2*(s + 2)*(7*s + 2)**3/3
Suppose 1 + 2 = f. Suppose -2*o**5 - 14*o**2 - 10*o**4 - 4*o - 3*o**3 - 3*o**f - 12*o**3 = 0. What is o?
-2, -1, 0
Let b = 235 - 235. Let 0 + b*y - 1/7*y**4 + 0*y**3 + 1/7*y**2 = 0. What is y?
-1, 0, 1
Let s = 5 + -1. Let x be ((-3)/(-2))/(2/4). Factor 3*v**3 - 3*v**4 + v**s - v**x.
-2*v**3*(v - 1)
Let v(i) be the first derivative of -3/4*i**4 + 0*i**2 - 3*i**3 + 1 + 0*i. Factor v(t).
-3*t**2*(t + 3)
Factor -2/3*y - 2*y**3 - 2/3*y**4 + 0 - 2*y**2.
-2*y*(y + 1)**3/3
Let q = -73 - -43. Let s be -2*(-5)/q - -1. Let 4/3 - s*j - 2*j**2 + 2/3*j**4 + 2/3*j**3 = 0. Calculate j.
-2, -1, 1
Suppose 0 = -4*q - 0. Let h(t) be the second derivative of 0 + 1/24*t**3 + q*t**2 - 1/48*t**4 - t. Factor h(b).
-b*(b - 1)/4
Let z(k) be the first derivative of k**9/1512 + k**8/420 - k**6/90 - k**5/60 - k**3 - 3. Let f(x) be the third derivative of z(x). Let f(u) = 0. What is u?
-1, 0, 1
Suppose -4*b = -3*b - 4. Factor -5*f**3 - 4 + b + 4*f**3.
-f**3
Let g be 1 - ((-32)/(-132))/1. Let z = -1/11 + g. Solve -4/3*v**2 + z*v + 4/3 - 2/3*v**3 = 0.
-2, -1, 1
Let b(q) be the third derivative of q**6/120 - q**5/180 - q**4/9 - 2*q**3/9 - 8*q**2. Factor b(r).
(r - 2)*(r + 1)*(3*r + 2)/3
Factor -72/11 - 2/11*m**2 - 24/11*m.
-2*(m + 6)**2/11
Let s(v) be the third derivative of v**6/600 + v**5/300 + 15*v**2. What is m in s(m) = 0?
-1, 0
Let t(w) be the first derivative of -2*w**5/15 + w**4/6 + 2*w**3/9 - w**2/3 + 19. Find z such that t(z) = 0.
-1, 0, 1
Let k = 17 + -15. Determine s so that 3*s**k + 5*s**3 - 6*s**5 - 3*s + 2*s**5 - 3*s**4 + 2*s = 0.
-1, 0, 1/4, 1
Let d(m) be the second derivative of m**5/30 - 2*m**4/3 + 16*m**3/3 + 5*m**2 - 7*m. Let u(c) be the first derivative of d(c). Factor u(j).
2*(j - 4)**2
Suppose -12 = -7*o + 3*o. Let w be 3/2*(3 - (-5)/(-3)). Solve 12*u**2 - 8*u**w + 2 + 5*u - u**o + 2*u**3 = 0.
-2, -1
Factor 3*o**4 - 11/3*o**2 + 4/3 + 4/3*o - 2*o**3.
(o - 1)**2*(3*o + 2)**2/3
Let i(t) = 3*t**4 + 16*t**3 + t**2 - 10*t + 2. Let r(f) = 9*f**4 + 47*f**3 + 4*f**2 - 29*f + 5. Let u(y) = 17*i(y) - 6*r(y). Factor u(n).
-(n + 1)**2*(n + 2)*(3*n - 2)
Let u(l) = 18*l**2 + 6*l. Let y = 2 - -3. Suppose -3*q + y*p + 6 = -1, 5*q + 2*p - 53 = 0. Let f(j) = j**2 + j. Let h(k) = q*f(k) - u(k). Factor h(s).
-3*s*(3*s - 1)
Suppose -5*x = 2*a - 55, -2*a - 2*a - 7 = -3*x. Let j be (-152)/(-36) + (-2)/x. Solve -10*h**2 - 4*h**2 + 2 + 0*h**j + 6 - 2*h**5 + 6*h**4 + 2*h**3 = 0.
-1, 1, 2
Let j(g) be the third derivative of g**8/560 - g**7/70 + g**6/30 - 4*g**3/3 + 4*g**2. Let m(y) be the first derivative of j(y). Factor m(h).
3*h**2*(h - 2)**2
Suppose 0 = 2*q - 5*c + 14, -c + 4 = -0*c. Factor -22*g**q - 3*g**2 + 5*g**2 + 24*g**3.
2*g**2*(g + 1)
Solve -30*s**5 - 2*s**4 + 33*s**5 - s**4 = 0.
0, 1
Let f = 1458241/9674 + -33/1382. Let v = 151 - f. Suppose -2/7*l**2 - v + 4/7*l = 0. Calculate l.
1
Let k(c) = -2*c**2 + 18*c - 16. Let h(x) = -x**2 + x. Let n(t) = 6*h(t) - k(t). Let n(d) = 0. Calculate d.
-4, 1
Suppose 21*a = 25*a - 8. Let d(g) be the third derivative of 0*g + 0 + 1/90*g**5 + 2/9*g**3 - a*g**2 - 1/12*g**4. Factor d(f).
2*(f - 2)*(f - 1)/3
Let v = 17/4 + -15/4. Find d, given that 1/2*d**3 + v*d**2 + 0*d + 0 = 0.
-1, 0
Let z = -5 - -9. Let h(j) be the second derivative of 1/20*j**5 + 0*j**2 + 0 - j + 0*j**z - 1/6*j**3. Suppose h(t) = 0. Calculate t.
-1, 0, 1
Let r = 18 + -63/4. Solve -r*a - 3/4 - 9/4*a**2 - 3/4*a**3 = 0.
-1
Let z(g) be the first derivative of -2/7*g**2 + 4 - 2/35*g**5 + 2/7*g + 1/7*g**4 + 0*g**3. Factor z(b).
-2*(b - 1)**3*(b + 1)/7
Suppose -3*w - 27 = -8*w - 4*a, 5*a - 18 = -4*w. Let h be -4 + w - (0 + 3). Let 0 - 2/7*v**2 + h*v - 2/7*v**3 = 0. What is v?
-1, 0
Let k = -1331/6 - -223. Let w(t) be the first derivative of 1/2*t**2 + k*t**3 + 0*t + 3. Let w(y) = 0. What is y?
-2/7, 0
Let h(o) be the third derivative of -o**7/945 - o**6/540 + o**5/90 + o**4/108 - 2*o**3/27 + 5*o**2. What is z in h(z) = 0?
-2, -1, 1
Let c = -514 - -1029/2. Find r, given that 5/2*r**2 + c*r + 25/8*r**3 + 0 = 0.
-2/5, 0
Let b(x) be the first derivative of 2*x**6/135 + x**5/18 + x**4/54 - 2*x**3/27 + 2*x + 2. Let q(o) be the first derivative of b