-5*(q - 3)**3*(q + 2)
Let n = -1035 + 1037. Find r such that -8/3 - 2/3*r**n + 8/3*r = 0.
2
Suppose -2*l + 3*s + 3 = -13, l - s = 6. Suppose 0 + 0*h + h**l + 7/2*h**3 = 0. Calculate h.
-2/7, 0
Suppose 1 = 3*p - 4*y, 0*y + 25 = 5*y. Suppose -p = -2*j - 1. Factor r**4 + r**2 + r**4 - j*r**2.
2*r**2*(r - 1)*(r + 1)
Let p(l) be the third derivative of 7*l**6/40 - l**5/10 - 7*l**4/8 + l**3 - 5*l**2. Suppose p(o) = 0. What is o?
-1, 2/7, 1
Let i(n) be the first derivative of 2/3*n - 4/9*n**3 - 8 - 1/3*n**2. Solve i(j) = 0 for j.
-1, 1/2
Let j(b) be the second derivative of -b**4/4 + 2*b**3 - 9*b**2/2 - 14*b + 1. Determine v so that j(v) = 0.
1, 3
Let x = 1 + -1. Suppose 0 = -5*i - x*i + 60. Factor 4*p + 60 + 9*p**3 - 60 - i*p**2.
p*(3*p - 2)**2
Let d(l) be the second derivative of -l**6/90 + l**4/36 - 4*l. Determine j so that d(j) = 0.
-1, 0, 1
Suppose 3*o = 2*o + 4. Factor 15*n**4 - 6*n**4 - 8*n**4 - 3*n**o.
-2*n**4
Let o(h) be the first derivative of h**5/40 - h**4/12 + h**3/12 + 7*h + 1. Let b(f) be the first derivative of o(f). Factor b(y).
y*(y - 1)**2/2
Let k(s) = -4*s**3 - 2*s**2 - 5*s. Let y(o) = o**3 + o. Let x(b) = k(b) + 5*y(b). Suppose x(q) = 0. What is q?
0, 2
Let y(i) be the second derivative of i**7/189 + i**6/45 - i**5/45 - i**4/9 + i**3/27 + i**2/3 - 15*i. Solve y(h) = 0 for h.
-3, -1, 1
Let u(d) be the first derivative of -2/5*d**3 - 3/25*d**5 + 0*d**2 + 0*d + 1 + 9/20*d**4. Find b, given that u(b) = 0.
0, 1, 2
Let i = 5 - 1. Let c = i + -2. Suppose -b - 2*b**c + 6*b**2 - 6*b**2 + b**2 = 0. Calculate b.
-1, 0
Let s be (-40)/(-42) + (-4 - 130/(-35)). Factor 20/3*f**3 - 10/3*f**4 + 10/3*f - 20/3*f**2 - 2/3 + s*f**5.
2*(f - 1)**5/3
Let z(y) = -7*y**2 - 7*y. Let v(n) = -57*n**2 - 57*n. Let q(d) = -4*v(d) + 33*z(d). Determine f, given that q(f) = 0.
-1, 0
Suppose 1/6*y**2 - 5/3 + 3/2*y = 0. Calculate y.
-10, 1
Suppose 2*c - 8 = -2*r + 26, -5*r + 65 = -5*c. Suppose 13*z = r*z - 4. What is t in -2/11*t - 4/11*t**z + 2/11*t**3 + 4/11 = 0?
-1, 1, 2
Let o(p) be the third derivative of p**8/168 - 2*p**7/35 + 3*p**6/20 - 2*p**5/15 - 38*p**2. Factor o(l).
2*l**2*(l - 4)*(l - 1)**2
Find g, given that -247*g**4 - 744*g**3 - 150*g**5 + 2704*g**2 - 1536*g - 56*g**4 + 256 - 629*g**4 - 48*g**4 = 0.
-4, 2/5, 2/3
Factor -2/9 - 2/9*o**2 - 4/9*o.
-2*(o + 1)**2/9
Let z(t) = -t**2 + t + 1. Let d(c) = 3*c**5 + 12*c**4 + 12*c**3 - 3*c**2 - 18*c - 9. Let q(f) = -d(f) - 3*z(f). Factor q(m).
-3*(m - 1)*(m + 1)**3*(m + 2)
Let k(o) be the third derivative of -o**5/240 + o**3/6 + 4*o**2. Determine u, given that k(u) = 0.
-2, 2
Let g be (2/(-12))/((-2)/12). Let u = 1 + g. Factor l**3 + 1/3*l**u + l**4 + 1/3*l**5 + 0 + 0*l.
l**2*(l + 1)**3/3
Let m = 187 - 22439/120. Let p(u) be the third derivative of 0*u**4 - m*u**5 + 0*u + 0 + 1/240*u**6 - 4*u**2 + 0*u**3. Determine t so that p(t) = 0.
0, 1
Suppose 4*r + 2 = 3*r. Let f be r/(1 + (1 - 8)). Let -f*d + 0*d**2 + 0 + 1/3*d**3 = 0. Calculate d.
-1, 0, 1
Let p(h) be the third derivative of -2*h**2 - 1/120*h**5 - 1/12*h**3 + 0 - 1/24*h**4 + 0*h. Factor p(q).
-(q + 1)**2/2
Let p(a) be the second derivative of a**6/18 + 11*a**5/20 + 61*a**4/36 + 5*a**3/6 - 3*a**2 - 4*a. Factor p(v).
(v + 1)*(v + 3)**2*(5*v - 2)/3
Let n be (-66)/(-9)*-12*3/(-66). Factor 0*i**2 - 8/3 - 4/3*i**3 + n*i.
-4*(i - 1)**2*(i + 2)/3
Suppose i - 25 = -4*i. Determine b, given that 1/2*b**i - 1/2 - b**3 + b**2 + 1/2*b - 1/2*b**4 = 0.
-1, 1
Suppose -10 = -2*o + 2. Let t = o - 3. Factor -2*b + 3*b + 6*b**3 + b**t + 9*b**2 + b.
b*(b + 1)*(7*b + 2)
Let n(t) be the first derivative of 0*t**4 + 1 - 1/900*t**6 + 0*t + 0*t**2 - 1/3*t**3 - 1/300*t**5. Let h(g) be the third derivative of n(g). Factor h(a).
-2*a*(a + 1)/5
Let m(f) = -f**2 - f + 1. Let h(a) = 3*a**2 + 3*a + 1. Let s(w) = h(w) + 2*m(w). Let d be s(0). Factor -4/5*i**5 - 9/5*i**d - 1/5*i**2 + 1/5*i - 11/5*i**4 + 0.
-i*(i + 1)**3*(4*i - 1)/5
Let k = -14 + 16. Let l(o) be the second derivative of -1/45*o**6 + 0 + 1/189*o**7 + 0*o**k - 2*o - 1/54*o**4 + 0*o**3 + 1/30*o**5. Let l(z) = 0. Calculate z.
0, 1
Let h(b) = -b**2. Let q be (-47)/4 + 1/(-4). Let a be 2/q + 42/36. Let y(w) = -w**4 + w**3 + 7*w**2 - w. Let u(d) = a*y(d) + 6*h(d). Factor u(l).
-l*(l - 1)**2*(l + 1)
Factor 4/15 - 2/15*v - 2/15*v**2.
-2*(v - 1)*(v + 2)/15
Let m be 2/(-2 + (-2 - -2)). Let k be 117/(-21)*m - 3. Factor 2/7*a + 0 - 8/7*a**4 + k*a**3 - 12/7*a**2.
-2*a*(a - 1)**2*(4*a - 1)/7
Let t(m) be the third derivative of -m**6/80 - 3*m**5/40 + m**3 - 5*m**2. Let t(d) = 0. What is d?
-2, 1
Let f = 38 + -24. Suppose w - f = -5*b, w - 1 + 7 = 5*b. Factor -3*z**3 - 2*z**5 + 5*z**3 + 0*z**b + 2*z**4 - 2*z**2.
-2*z**2*(z - 1)**2*(z + 1)
Suppose 0 = 7*j - 0*j. Determine k, given that -2/5*k + 0 + 4/5*k**2 + j*k**3 - 4/5*k**4 + 2/5*k**5 = 0.
-1, 0, 1
Let q be (3 + 4/(-1))*6. Let b(p) = -8*p**3 + p**2 + 11*p + 2. Let z(t) = -17*t**3 + 2*t**2 + 23*t + 4. Let f(o) = q*z(o) + 13*b(o). Factor f(m).
-(m - 2)*(m + 1)*(2*m + 1)
Let m = -100 + 100. Let l(r) be the first derivative of -1/24*r**6 + m*r - 2 - 1/20*r**5 + 0*r**4 + 0*r**3 + 0*r**2. Factor l(p).
-p**4*(p + 1)/4
Let s(a) be the second derivative of -a**6/1440 + a**5/480 - a**3/2 + 5*a. Let n(h) be the second derivative of s(h). Factor n(g).
-g*(g - 1)/4
Let w(k) be the second derivative of 0*k**3 + 1/3*k**4 + 0 + 2*k + 3/10*k**5 + 0*k**2 - 1/3*k**6. Find l, given that w(l) = 0.
-2/5, 0, 1
Let t be 0/(-5)*13/(-52). Let -4/5*g**3 - 4/5*g**2 + t*g + 0 = 0. What is g?
-1, 0
Let i(d) = -d**3. Let q(c) = 3*c**3 + 3*c**2 - 4. Let f(l) = -20*i(l) - 5*q(l). Find j such that f(j) = 0.
-1, 2
Factor 13/2*r**3 + 5/2*r**2 - 1 - 3/2*r + r**5 + 9/2*r**4.
(r + 1)**3*(r + 2)*(2*r - 1)/2
Let o(x) be the second derivative of -5*x**7/42 + x**6/2 - 3*x**5/4 + 5*x**4/12 + 8*x. Find f such that o(f) = 0.
0, 1
Let j(k) be the second derivative of -k**5/270 - k**4/108 - k**2 + 4*k. Let g(q) be the first derivative of j(q). Factor g(i).
-2*i*(i + 1)/9
Let f(t) be the first derivative of -1/3*t**3 + 0*t**2 + 2*t - 21/40*t**5 - 2/3*t**4 - 3/20*t**6 - 2. Let n(w) be the first derivative of f(w). Factor n(o).
-o*(o + 1)*(3*o + 2)**2/2
Let a(f) be the third derivative of 1/240*f**6 + 0 + 0*f**3 + 1/120*f**5 + 3*f**2 + 0*f**4 + 0*f. Let a(x) = 0. What is x?
-1, 0
Let u(h) be the first derivative of -h**5/5 + h**4/2 + h**3 - 16. Determine g so that u(g) = 0.
-1, 0, 3
Let d be 6/((-3)/1 + 5). Factor -2 + 6 - d*b**2 - 1.
-3*(b - 1)*(b + 1)
Let l = -2 - -4. Suppose l = -3*i + 4*i. Factor 0 + 0*o + 0*o**4 + 0*o**i - 2/7*o**5 + 2/7*o**3.
-2*o**3*(o - 1)*(o + 1)/7
Suppose 1920*p - 1917*p - 9 = 0. Let -1/3*h**p - 1/3*h**4 + 0*h + 0 + 0*h**2 = 0. What is h?
-1, 0
Let m(t) = -7*t + 12. Let p be m(1). What is a in 0*a - 2/3*a**2 + 16/3*a**p + 0 + 17/3*a**3 - 40/3*a**4 = 0?
0, 1/4, 2
Let m(i) be the second derivative of -i**6/75 + i**5/25 - 2*i**3/15 + i**2/5 + 7*i + 1. Factor m(l).
-2*(l - 1)**3*(l + 1)/5
Let k be ((-2)/(-9))/(1/3). Let p be -2 + -2 - (-65)/15. Factor k + j + p*j**2.
(j + 1)*(j + 2)/3
Let m be (-12)/14*49/(-14). Determine d so that 147*d**5 - 34*d**3 + 294*d**4 - 9*d + 169*d**m - 24*d**2 - 3*d = 0.
-1, -2/7, 0, 2/7
Suppose -3*r = r - 16. Suppose x + 3*f = -r - 3, -5*f - 21 = -3*x. Let -2*b**3 - 2*b**x + b**2 - 2*b + 5*b**2 = 0. What is b?
0, 1
Factor -2/17*g**2 - 4/17*g + 2/17*g**4 + 4/17*g**3 + 0.
2*g*(g - 1)*(g + 1)*(g + 2)/17
Suppose -2*l + 14 = 4*u + 2, u + 5*l = 12. Factor 25/3*g**u + 10*g + 3.
(5*g + 3)**2/3
Let k(f) be the first derivative of f**5 + 5*f**4 + 10*f**3 + 10*f**2 + 5*f - 16. Factor k(i).
5*(i + 1)**4
Let s(z) be the third derivative of z**9/100800 - z**8/11200 + z**7/2800 - z**6/1200 - z**5/15 + 7*z**2. Let a(m) be the third derivative of s(m). Factor a(h).
3*(h - 1)**3/5
Let h = 17 - 4. Suppose 3*w - 2 = h. Suppose -1 - 3*q - q + 2*q + w - 2*q**2 = 0. Calculate q.
-2, 1
Let a(y) be the third derivative of -y**7/90 - y**6/72 + y**5/90 - 7*y**2. Factor a(u).
-u**2*(u + 1)*(7*u - 2)/3
Let z(w) = 6*w**2 + w + 7. Let t be ((-49)/21)/(2/(-6)). Let g(c) = 3*c**2 + c + 4. Let p(o) = t*g(o) - 4*z(o). Determine n so that p(n) = 0.
0, 1
Let b be ((-122)/12)/((-2)/6). Let q = b - 30. Suppose -1/2*d**4 + q*d**2 - 1/2*d**3 + 1/2*d + 0 = 0. Calculate d.
-1, 0, 1
Let z(u) be the second derivative of -u**6/12