2 + 7*p. Factor n(m).
5*(m - 2)*(m + 2)
Let z be 18/54*(1 - 1/(-5)). Factor z*q**2 - 2/5 + 0*q.
2*(q - 1)*(q + 1)/5
Let u(s) be the first derivative of s**7/210 - 2*s**6/45 + s**5/6 - s**4/3 + 10*s**3/3 - 10. Let b(l) be the third derivative of u(l). Factor b(t).
4*(t - 2)*(t - 1)**2
Factor 2/9*u**4 + 2/9*u**3 + 0 + 0*u - 4/9*u**2.
2*u**2*(u - 1)*(u + 2)/9
Let c(t) be the third derivative of -t**10/226800 + t**8/30240 + t**5/60 - t**2. Let b(s) be the third derivative of c(s). Factor b(i).
-2*i**2*(i - 1)*(i + 1)/3
Let l = -7 - -13. Let d be l/20 + 2/10. Factor -d*c + 2*c**4 + 2*c**2 + 0 - 1/2*c**5 - 3*c**3.
-c*(c - 1)**4/2
Let a(t) be the second derivative of -t**7/147 + 2*t**6/105 - t**4/21 + t**3/21 - 11*t. Factor a(m).
-2*m*(m - 1)**3*(m + 1)/7
Let u(v) = 13*v - 2. Let k be u(4). Let q be ((-4)/k)/((-18)/90). Suppose 0 + 2/5*x - q*x**2 = 0. Calculate x.
0, 1
Let x(b) be the first derivative of -5*b**6/6 - 2*b**5 - 5*b**4/4 + 4. Solve x(o) = 0.
-1, 0
Let b(n) = n**3 + n**2 + n + 2. Let a be b(0). Factor 1 + u**3 + 4*u**3 + 5*u**2 - 7*u + a*u**3 - 6*u**4.
-(u - 1)**2*(u + 1)*(6*u - 1)
Let c(y) = -18*y**2 - 10*y + 4. Let b = -4 - -9. Let d(t) = -t + 4. Let g be d(b). Let m(s) = s**2. Let u(q) = g*c(q) - 4*m(q). Factor u(i).
2*(i + 1)*(7*i - 2)
Let y(z) be the second derivative of -z**4/4 - 5*z**3 - 75*z**2/2 - 7*z. Factor y(w).
-3*(w + 5)**2
Let p(c) be the second derivative of -c**6/180 + c**5/60 + c**3/2 - c. Let g(b) be the second derivative of p(b). Factor g(m).
-2*m*(m - 1)
Let m(p) be the third derivative of -1/840*p**7 - 1/96*p**4 + 0*p + 0*p**3 + 1/240*p**5 + 0 + 1/480*p**6 - 2*p**2. What is o in m(o) = 0?
-1, 0, 1
Factor 2 + 12 - 17*x**2 + 2 + 15*x**2 + 4*x.
-2*(x - 4)*(x + 2)
Let y(j) be the third derivative of -j**8/560 + j**7/350 + j**6/200 - j**5/100 + 9*j**2. Factor y(d).
-3*d**2*(d - 1)**2*(d + 1)/5
Let r = -6 + 10. Suppose 0 - b**2 - 1/3*b**r - b**3 - 1/3*b = 0. Calculate b.
-1, 0
Let f(j) be the first derivative of -5*j**3/6 + 15*j**2/4 + 10*j - 65. Factor f(u).
-5*(u - 4)*(u + 1)/2
Let z be 2/5 + 10/(-63). Let g = 2/45 + z. Solve g*o**2 + 0 - 26/7*o**4 - 4/7*o + 10/7*o**5 + 18/7*o**3 = 0 for o.
-2/5, 0, 1
Let b be (-10)/32*12/(-90). Let p(w) be the third derivative of -b*w**4 - 1/60*w**5 + w**2 + 0 + 0*w + 0*w**3. Solve p(a) = 0.
-1, 0
Let m(t) be the second derivative of t**7/42 - 2*t**6/15 + t**5/4 - t**4/6 + 8*t. Factor m(a).
a**2*(a - 2)*(a - 1)**2
Let i be (-6 - -3)/((-3)/9). Factor 3*v - 1 - 7 + 5*v**2 + i*v - 8*v**3 + 7*v**2.
-4*(v - 2)*(v + 1)*(2*v - 1)
Let q(t) = 4*t**4 + 7*t**3 + 13*t**2 - 5*t - 5. Let g(o) = -2*o**4 - 4*o**3 - 6*o**2 + 2*o + 2. Let k(r) = -5*g(r) - 2*q(r). Find y, given that k(y) = 0.
-2, -1, 0
Suppose 0 = 2*r + 5*y - 66 - 107, -2*y = 3*r - 254. Solve -r*s**4 + 64/5*s + 16/5 - 20*s**2 - 568/5*s**3 = 0 for s.
-1, -2/5, -2/7, 1/3
Let w(h) be the first derivative of -3/2*h**2 + 0*h + 3/4*h**4 - h**3 + 3/5*h**5 + 3. Determine u so that w(u) = 0.
-1, 0, 1
Suppose 5*q = 81 + 24. Factor -46*r**3 + q*r**2 + 14*r**4 - 33*r + 8*r**2 + 7*r + 25*r**2 + 4.
2*(r - 1)**3*(7*r - 2)
Let z = -77 + 81. Let h(g) be the first derivative of 13/9*g**3 + 1/15*g**5 + 4/3*g + 1 + 2*g**2 + 1/2*g**z. Find t such that h(t) = 0.
-2, -1
Suppose -3*m = 2*m - 10. Let u = -2 - -2. Factor -1/4*s**m + u + 1/4*s.
-s*(s - 1)/4
Let f(a) = -1 + 2 - 2 + 2. Let z(u) = 2*u**3 - 2 + 0*u**2 + 0*u**2. Let j(n) = -2*f(n) - z(n). Find m such that j(m) = 0.
0
Suppose -4*q + 14 = -2. Let a = q - 2. Factor -2*s**a + s**4 - 2*s + 2*s + 1.
(s - 1)**2*(s + 1)**2
Let f be (1 - (-12)/(-15))*(61 - 57). Solve 4/5*h + 4/5 - f*h**3 - 4/5*h**2 = 0.
-1, 1
Let a(r) be the third derivative of r**5/12 + 5*r**4/12 - 2*r**2. Factor a(s).
5*s*(s + 2)
Let s(r) = -r**3 + 9*r**2 - 8*r - 7. Let y be s(8). Let v(k) = 7*k**2 + 6*k - 7. Let l(f) = 8*f**2 + 7*f - 8. Let h(o) = y*v(o) + 6*l(o). Factor h(g).
-(g - 1)*(g + 1)
Let o(p) be the first derivative of -p**3/2 + 6*p + 1. Factor o(n).
-3*(n - 2)*(n + 2)/2
Let r(n) be the third derivative of n**8/6720 - n**7/2520 + n**4/24 + 4*n**2. Let v(a) be the second derivative of r(a). Determine s so that v(s) = 0.
0, 1
Let l(k) be the third derivative of k**7/420 - k**6/180 + k**3/2 + 2*k**2. Let x(a) be the first derivative of l(a). Let x(n) = 0. What is n?
0, 1
Let i = 46 + -46. Find t such that i + 2/9*t**2 + 2/9*t = 0.
-1, 0
Let w = 41 - 39. Let l = -1 - -5. Let 0*r**4 + 0*r**4 - l*r**3 - w*r**4 = 0. What is r?
-2, 0
Let z(i) be the first derivative of i**8/2240 + i**7/1120 - i**6/240 + 5*i**3/3 - 7. Let n(k) be the third derivative of z(k). Factor n(s).
3*s**2*(s - 1)*(s + 2)/4
Let x(u) be the third derivative of u**8/560 - u**7/350 - u**6/100 + u**5/50 + u**4/40 - u**3/10 + 39*u**2. Factor x(w).
3*(w - 1)**3*(w + 1)**2/5
Let c(r) be the first derivative of -r**6/210 - r**5/140 + r**4/84 + r**3/42 - r + 1. Let v(u) be the first derivative of c(u). Solve v(a) = 0.
-1, 0, 1
Find c such that -1/4*c**3 - 3/4 - 1/4*c**2 + 5/4*c = 0.
-3, 1
Find p such that 2*p**2 + 4/9 + 10/9*p**3 + 14/9*p + 2/9*p**4 = 0.
-2, -1
Let z = -673/2 + 348. Let u = z - 11. Factor -u*o + 1/4*o**2 + 1/4.
(o - 1)**2/4
Let m(d) be the third derivative of d**5/60 + d**4/24 + 6*d**2. Determine w, given that m(w) = 0.
-1, 0
Let u(y) = 4*y + 26. Let s be u(-6). What is v in 0 + 3/5*v**3 + 0*v**s - 3/5*v = 0?
-1, 0, 1
Let y(a) = -8*a**4 - 6*a**3 - 10*a**2 - 6*a + 6. Let n(l) = 9*l**4 + 6*l**3 + 11*l**2 + 7*l - 7. Let x(r) = -6*n(r) - 7*y(r). Factor x(t).
2*t**2*(t + 1)*(t + 2)
Let x(z) be the second derivative of -z**7/126 + 2*z**6/45 - z**5/60 - 5*z**4/18 + 2*z**3/9 + 4*z**2/3 - 20*z. Factor x(g).
-(g - 2)**3*(g + 1)**2/3
Let n = -2 - -7. Let k(l) be the third derivative of -1/6*l**4 + 3*l**2 - 1/30*l**n + 0 + 0*l + 1/30*l**6 + 1/3*l**3. Factor k(j).
2*(j - 1)*(j + 1)*(2*j - 1)
Let k(d) be the second derivative of d**7/14 - 3*d**6/10 - 9*d**5/10 + 5*d**4/2 + 21*d**3/2 + 27*d**2/2 + d. What is o in k(o) = 0?
-1, 3
Let q(d) be the third derivative of -1/6*d**3 + 0*d - 1/240*d**5 - 1/24*d**4 + 0 + 3*d**2. Determine t, given that q(t) = 0.
-2
Suppose 3*b + 5*z - 58 + 3 = 0, -4*b - 5*z = -75. Suppose 15 = 2*c - 3*g, 3*g = -g - b. Factor 0*n + 4*n**3 + c + 7/4*n**4 + n**2.
n**2*(n + 2)*(7*n + 2)/4
Factor -1/2*r**2 + 3*r - 9/2.
-(r - 3)**2/2
Let s be (2/24)/(5 + 1). Let k(q) be the third derivative of s*q**6 + 1/9*q**3 + 0*q - 5/72*q**4 - 1/90*q**5 - q**2 + 0. Factor k(d).
(d - 1)*(d + 1)*(5*d - 2)/3
Let b(l) be the first derivative of 0*l**2 + 2/9*l**3 - 1/4*l**4 - 1 + 0*l. Factor b(o).
-o**2*(3*o - 2)/3
What is b in 0 - 31/7*b**3 - 12*b**4 + 5/7*b**2 + 2/7*b = 0?
-1/3, -2/7, 0, 1/4
Let q(g) be the third derivative of -g**6/84 + 4*g**5/105 + g**4/21 + 3*g**2. Factor q(k).
-2*k*(k - 2)*(5*k + 2)/7
Suppose 5 + 10 = 5*z. Let l(t) be the third derivative of 0 - 1/28*t**4 + 1/210*t**5 + 2*t**2 + 0*t + 2/21*t**z. Find d such that l(d) = 0.
1, 2
Let g(r) = -2*r - 4*r + 3*r. Let z be g(-1). Suppose -j**3 + 0*j + z*j**3 - 2*j = 0. What is j?
-1, 0, 1
Let a(d) be the second derivative of -2*d**6/15 + 8*d**5/5 - 23*d**4/3 + 56*d**3/3 - 24*d**2 + d - 24. Let a(u) = 0. Calculate u.
1, 2, 3
Let l(m) be the third derivative of 1/30*m**6 + 0 + 0*m**3 - 2*m**2 - 5/168*m**8 + 0*m + 0*m**5 + 0*m**4 - 1/35*m**7. Determine d so that l(d) = 0.
-1, 0, 2/5
Find q such that -9/5*q**4 - 27/5*q + 39/5*q**3 + 6/5 - 12/5*q**5 + 3/5*q**2 = 0.
-2, -1, 1/4, 1
Suppose n = 17 - 15. Let 1/2*p**5 + 0*p**n + 0 - p**3 + 0*p**4 + 1/2*p = 0. What is p?
-1, 0, 1
Let z = -96 - -96. Suppose 0 + z*k + 1/6*k**4 + 1/6*k**3 + 0*k**2 = 0. What is k?
-1, 0
Let n = 17 - -34. Let r be -2 + (n/6 - 2). Factor 1/2 - r*t**3 + 5/2*t + 3/2*t**2.
-(t - 1)*(3*t + 1)**2/2
Let y(c) = -2*c + 26. Let w be y(11). Let p be ((-2)/10)/(w/(-8)). Find l such that p*l**2 - 4/5*l + 2/5 = 0.
1
Let w(d) = d**3 - 16*d + 2. Let y be w(-4). Factor 2*q + 2/3*q**3 - y*q**2 - 2/3.
2*(q - 1)**3/3
Let d(a) be the first derivative of -a**6/180 + a**5/20 - a**4/6 + a**3 + 1. Let t(s) be the third derivative of d(s). Factor t(g).
-2*(g - 2)*(g - 1)
Let v(j) = -j**3 + 2*j**2 + 4*j. Let z be v(3). Solve -6*p + 4*p + p**3 + 0*p**3 + 2*p**2 - z*p**2 = 0.
-1, 0, 2
Let m(n) be the third derivative of -n**9/15120 + n**8/2240 - n**7/1260 - n**4/24 + n