b(h) = 0.
-1, -2/7, 0, 1, 2
Let d be (-44)/(-42) - (6 - 5). Let p(m) be the third derivative of -1/30*m**6 + 0*m**3 + 0 + 0*m**5 + m**2 + 0*m**4 + 0*m - d*m**7. Factor p(x).
-2*x**3*(5*x + 2)
Let m(w) be the first derivative of w**6/24 - w**5/20 - w**4/16 + w**3/12 + 6. Let m(q) = 0. What is q?
-1, 0, 1
Let t = 3/52 - -23/52. Let -1/2 - 1/2*y + 1/2*y**3 + t*y**2 = 0. Calculate y.
-1, 1
Let y(r) be the first derivative of -2*r**3/3 - 2*r**2 + 6*r + 8. Factor y(t).
-2*(t - 1)*(t + 3)
Let t(g) be the third derivative of 5*g**2 - 1/30*g**5 + 0*g**3 + 0 + 0*g - 1/12*g**4. Factor t(v).
-2*v*(v + 1)
Let f(s) be the second derivative of 3*s**5/20 - s**4 + 13*s. Factor f(d).
3*d**2*(d - 4)
Let f = 0 + 1. Let m(k) = 2*k**2 - k + 1. Let z be m(f). Find v, given that 1/4*v + 0 - 1/2*v**z + 1/4*v**3 = 0.
0, 1
Solve 5 - 3*d**2 - 5 + 3 = 0.
-1, 1
Suppose -2/7*y**4 + 8/7 + 2/7*y**3 + 22/7*y + 18/7*y**2 = 0. Calculate y.
-1, 4
Let v(h) be the second derivative of h**4/42 + h**3/7 + 2*h**2/7 + 5*h. Factor v(s).
2*(s + 1)*(s + 2)/7
Let d(q) = -1. Let k(l) = l**2 + l - 3. Let g = -90 + 63. Let m be (-4)/18 + (-33)/g. Let f(c) = m*k(c) - 3*d(c). Factor f(h).
h*(h + 1)
Let m(l) be the third derivative of 2*l**7/15 - l**6/15 + 31*l**2. Find q, given that m(q) = 0.
0, 2/7
Let v be (-3)/2*(-30 + 29). Factor 2*s - v*s**3 + 9/2*s**4 - 4*s**2 + 0.
s*(s + 1)*(3*s - 2)**2/2
Let l be (-9 - -9)/(-1 + 2). Factor l*k - 1/4*k**5 + 0 + 1/2*k**4 - 1/4*k**3 + 0*k**2.
-k**3*(k - 1)**2/4
Suppose -k = -5*k + 8. Let -3*h**2 + 0*h**2 - 2*h + 4*h**k = 0. Calculate h.
0, 2
Let n(u) be the second derivative of -2*u**6/15 + 3*u**5/5 - 2*u**4/3 + 19*u. Factor n(c).
-4*c**2*(c - 2)*(c - 1)
Let j(k) be the second derivative of -k**8/13440 + k**6/2880 + 5*k**3/3 - 4*k. Let x(o) be the second derivative of j(o). Find a such that x(a) = 0.
-1, 0, 1
Suppose -w = -0 - 2. Suppose -1 = -w*s + s. Let 3/2*u**3 - u**2 - 3/2*u + s = 0. What is u?
-1, 2/3, 1
Let c be ((-2)/(-10))/((-8)/144*-6). Factor f + 7/5*f**2 + c*f**3 + 1/5.
(f + 1)**2*(3*f + 1)/5
Let d(c) be the first derivative of -c**4/6 + 2*c**3/3 - c**2 + 2*c/3 + 8. Factor d(o).
-2*(o - 1)**3/3
Let y(n) be the second derivative of n**5/10 - n**4 + 2*n. Factor y(s).
2*s**2*(s - 6)
Factor 0*m**2 - 5 - 3*m + 4*m + 9*m - 5*m**2.
-5*(m - 1)**2
Let c be (-2 + 2)*-2*(-3)/18. Factor 0*l - 3/7*l**4 + c - 1/7*l**2 + 3/7*l**3 + 1/7*l**5.
l**2*(l - 1)**3/7
Let p(x) = 8*x**2 + 6*x**2 + 4*x**3 - 2*x - 4 + 2. Let n(u) = 4*u**3 + 15*u**2 - 3*u - 3. Let c(j) = -2*n(j) + 3*p(j). Factor c(l).
4*l**2*(l + 3)
Factor -2/7*j**2 - 2/7*j**3 + 10/7*j - 6/7.
-2*(j - 1)**2*(j + 3)/7
Let y = 11 + -119/11. Factor -y*n**2 - 8/11 - 8/11*n.
-2*(n + 2)**2/11
Let p(a) be the second derivative of -2*a**7/7 - 3*a**6/10 + 3*a**5/4 + 3*a**4/4 - a**3/2 - 4*a. Let p(d) = 0. Calculate d.
-1, 0, 1/4, 1
Factor -2*t**5 + 2*t**4 + 6*t**3 - 7*t + 3*t**4 - 2 - 1 + 3*t**5 - 2*t**2.
(t - 1)*(t + 1)**3*(t + 3)
Factor -39 + 21 + 19 - d**2.
-(d - 1)*(d + 1)
Let c be (-2)/(-3) - (-1)/(-6)*4. Let n(g) be the third derivative of 0 - g**2 + 0*g + c*g**4 + 1/21*g**3 - 1/210*g**5. Factor n(t).
-2*(t - 1)*(t + 1)/7
Let r = 9 + -6. Solve -10*k**4 - 18*k**r - 8*k + k**2 - 29*k**2 + 37*k**4 + 27*k**5 = 0 for k.
-2/3, 0, 1
Let s be 1295/(-50) - 6/(-15). Let a = s - -26. Solve 0 + 1/4*j**2 + a*j = 0.
-2, 0
Let f be (3/9 - 3)/(16/(-24)). Factor 0 + m**f - 1/3*m**5 - m**3 + 1/3*m**2 + 0*m.
-m**2*(m - 1)**3/3
Let s(u) be the third derivative of -1/80*u**5 + 0 - 1/2*u**3 + 0*u + u**2 - 1/8*u**4. Suppose s(y) = 0. What is y?
-2
Find l such that 45/7*l - 3/7*l**2 - 6 = 0.
1, 14
Let b(d) = d**3 + 2*d**2 + 5*d - 1. Let m = -5 - -6. Let r(o) = -o**2 - o + 1. Let x(i) = m*b(i) + 5*r(i). Solve x(v) = 0 for v.
-1, 2
Suppose 2*k + 2 = 12. Suppose -k*s - 4 = 3*o + 1, 2*s + 2 = -5*o. Factor 4/9*j + 2/9*j**2 + o.
2*j*(j + 2)/9
Suppose -127 - 311*n**2 + 18 + 306*n**2 - 71 + 60*n = 0. What is n?
6
Let v = 146 - 144. Suppose 2/13*s**v - 6/13 - 4/13*s = 0. What is s?
-1, 3
Let g(l) be the second derivative of -l**5/50 + 4*l**3/15 + 62*l. What is p in g(p) = 0?
-2, 0, 2
Let i = 9 - 6. Factor -n**2 + 3 - i + n + 2.
-(n - 2)*(n + 1)
Let x(y) = -y**5 - y**3 - 1. Let l(o) = -11*o**5 + 5*o**4 + 19*o**3 - 4*o**2 - 6*o. Let i(h) = -2*l(h) - 2*x(h). Find u such that i(u) = 0.
-1, -1/3, -1/4, 1
Suppose 0*i - i = 4*g + 2, 2*g + 10 = -5*i. Let z(y) be the first derivative of -1/6*y**4 + 2 + g*y - 4/3*y**2 + 8/9*y**3. Solve z(u) = 0 for u.
0, 2
Let t(l) be the first derivative of 2*l**3/27 - 2*l**2 + 18*l + 18. Solve t(d) = 0 for d.
9
Let h(f) = -18*f**3 + 3*f**2 + f. Let o be h(-3). Let y = -2542/5 + o. Suppose -18/5*z**3 - 2/5*z**2 - 22/5*z**4 + 2/5*z + 0 - y*z**5 = 0. Calculate z.
-1, 0, 1/4
Let y be (0 + -2)/((-3)/3). Solve 3*v**4 + 0*v**4 + y*v**4 + 0*v**3 - 2*v**3 = 0.
0, 2/5
Factor -1/3*q**5 + 0 - 4*q**2 - 2*q**4 - 13/3*q**3 - 4/3*q.
-q*(q + 1)**2*(q + 2)**2/3
Let i(g) = g**4 - 2*g**3 + 1. Let z(k) = 6*k**4 - 11*k**3 - k**2 + 6. Let b(m) = 11*i(m) - 2*z(m). Factor b(c).
-(c - 1)**2*(c + 1)**2
Let p(c) be the second derivative of -c**7/5040 + c**6/360 - c**5/80 - c**4/4 - 7*c. Let i(r) be the third derivative of p(r). Determine a so that i(a) = 0.
1, 3
Let k(r) be the third derivative of -r**8/560 - 11*r**7/1050 - r**6/50 - r**5/75 - 6*r**2. Suppose k(u) = 0. What is u?
-2, -1, -2/3, 0
Let a(x) be the second derivative of x**5/15 - x**4/6 - 2*x**3/9 + x**2 + x. Solve a(f) = 0.
-1, 1, 3/2
Determine h so that 3/5*h**2 + 6/5 - 9/5*h = 0.
1, 2
Solve 12*v**3 + 5 + 3*v - 5 - 6*v**4 - 9*v**2 + v**5 - v**2 = 0 for v.
0, 1, 3
Factor 60 + 0*o - 4*o**2 - 8*o - 64.
-4*(o + 1)**2
Let q(k) be the first derivative of k**3/3 + 3*k**2/2 + 2*k - 11. What is x in q(x) = 0?
-2, -1
Suppose 18*s - 2 = 17*s. Factor 6*w - 4*w**s + 0*w**3 - 2*w + w**3.
w*(w - 2)**2
Let u(i) be the third derivative of -25*i**8/2352 + 3*i**7/98 - i**6/35 + i**5/105 + 9*i**2. Factor u(v).
-v**2*(v - 1)*(5*v - 2)**2/7
Let l(w) be the first derivative of 1/120*w**5 + 0*w + 3 - 2/3*w**3 + 0*w**2 + 0*w**4 + 1/360*w**6. Let s(f) be the third derivative of l(f). Factor s(n).
n*(n + 1)
Let c be (5/20)/(3/12*2). Let k(p) be the first derivative of -1/3*p**3 - 1/2*p**4 + 1 + c*p**2 + 0*p. Suppose k(v) = 0. Calculate v.
-1, 0, 1/2
Let f(a) = 8*a**4 - 11*a**3 - 4*a**2 - 3*a + 3. Let o(q) = q**4 - q**3 - q**2 - q + 1. Let n(x) = 3*f(x) - 21*o(x). Solve n(t) = 0.
-1, 1, 2
Let u(q) = -q**2 + 3*q - 10. Let f(k) = 3*k**2 - 6*k + 21. Suppose -4*x = -5 - 11. Let n(h) = x*f(h) + 9*u(h). Factor n(t).
3*(t - 1)*(t + 2)
Let f be 53/150 + (-7)/21. Let a(s) be the second derivative of -s - f*s**5 + 0 + 1/15*s**3 + 0*s**2 + 0*s**4. Factor a(d).
-2*d*(d - 1)*(d + 1)/5
Let h(t) = -t + 1. Let v(g) = 3*g**2 - g - 2. Let d(j) = 2*h(j) + v(j). Solve d(o) = 0 for o.
0, 1
Let -93 - 5*o**2 - 62 + 175 = 0. What is o?
-2, 2
Let i(k) be the second derivative of 0*k**3 + 1/16*k**2 - 3*k + 0 - 1/96*k**4. Factor i(o).
-(o - 1)*(o + 1)/8
Let l(h) be the third derivative of -h**5/210 + h**4/42 - 9*h**2. Factor l(w).
-2*w*(w - 2)/7
Let -4/7*p**2 + 2*p - 2/7*p**3 - 8/7 = 0. What is p?
-4, 1
Suppose 24 - 4 = -5*x. Let w be (-1)/x - (-14)/8. Factor 0 + w*y**4 - 4*y**3 - 5 + 3 + 4*y.
2*(y - 1)**3*(y + 1)
Let u(d) be the third derivative of -d**5/60 + d**4/12 - d**3/6 - 5*d**2. Factor u(x).
-(x - 1)**2
Let w = 20 - 16. Let t(p) be the first derivative of 32/7*p - 176/7*p**2 + 64*p**3 + 3 + 98/5*p**5 - 70*p**w. Find l such that t(l) = 0.
2/7, 2
Let s(n) be the second derivative of n**4/54 - 8*n**3/27 + 16*n**2/9 + 11*n. Factor s(l).
2*(l - 4)**2/9
Let j(r) be the third derivative of r**8/560 - r**7/140 - r**6/120 + r**5/20 + 5*r**3/6 - 3*r**2. Let o(v) be the first derivative of j(v). Solve o(k) = 0.
-1, 0, 1, 2
Let p be 12/15*10/4. Let q(m) = -m**5 - m**3 - m - 1. Let r(y) = -y**4 - 2*y**3 + y**2 - y - 1. Let i(u) = p*r(u) - 2*q(u). Factor i(n).
2*n**2*(n - 1)**2*(n + 1)
Let o(s) be the third derivative of 0 + 0*s**3 + 0*s - 1/150*s**5 + 1/60*s**4 + 2*s**2. What is x in o(x) = 0?
0, 1
Let v(k) = k + 1 + 0*k + 0*k - 2*k. Let i be v(-3). Determine d, given that 5*d**5 - 7*d**2 + 8*d**2 - d**3 - 4*d**5 - d**i = 0.
-1, 0, 1
Let j be (6/(-8))/((-6)/4). Factor -3/2*l**3 - j*l**4 + 0*l + 0 - l**2.
-l**2*(l + 1)*(l + 2)/2
Let l 