hat s(t) = 0.
-1, 0
Suppose 0 = -4*l + 13 - 5. Suppose -p = -q - 2 + 5, 20 = 4*q - l*p. Factor 2*c - c**3 - 3*c - 6*c**2 + c**2 + q*c**2.
-c*(c - 1)**2
Let k be ((-21)/15)/(2*(-5)/250). Let m be (-2)/8*(-28)/k. Let m*p + 0 - 4/5*p**3 - 3/5*p**2 = 0. What is p?
-1, 0, 1/4
Let n(p) be the second derivative of -p**3 + 14*p + 9/4*p**2 + 0 + 1/8*p**4. Let n(g) = 0. Calculate g.
1, 3
Let y(k) = -3*k + 21. Let o be y(0). Suppose 0 = 5*g + 1 - o. Factor 3/5*c**2 - 1/5*c**g + 0 + 0*c**3 - 2/5*c.
-c*(c - 1)**2*(c + 2)/5
Let f = 4671/5 + -934. Factor 0*g + 4/5 - f*g**2.
-(g - 2)*(g + 2)/5
Let q(g) = -2*g - 10. Let c be q(-6). Factor -4*p**c - 4*p - 4 + 0*p - p - 3*p.
-4*(p + 1)**2
Let o(v) = -12*v**2 + 4*v + 2. Let b = -6 + 9. Let r(u) = 12*u**2 - 5*u - 1. Let k(z) = b*r(z) + 2*o(z). Suppose k(n) = 0. Calculate n.
1/4, 1/3
Let i(v) be the first derivative of 3*v**7/1120 + 13*v**6/480 + v**5/12 + v**4/8 + 7*v**3 + 23. Let n(r) be the third derivative of i(r). Solve n(q) = 0 for q.
-3, -2/3
Let i(n) = 5*n**2 - 7*n + 1. Let z(j) = -j**3 + j**2 - 2*j + 1. Let a(f) = 5*i(f) - 5*z(f). Let a(m) = 0. Calculate m.
-5, 0, 1
Let k(w) be the first derivative of w**5/3 - 5*w**4/4 + 5*w**3/3 - 5*w**2/6 - 2. Factor k(j).
5*j*(j - 1)**3/3
Let x(a) be the second derivative of a**5/26 + a**4/39 - 39*a + 2. Suppose x(h) = 0. What is h?
-2/5, 0
Let m(y) = 2*y**2 - 6*y + 7. Let g be m(5). Let w = g - 23. Factor -4 + 4 + 4*x**2 - w*x - 12*x.
4*x*(x - 4)
Let m(u) = -u**2 - 6*u - 4. Let z be m(-4). Let f be z - 1 - (6 + -5). Factor 0 - w + 5*w**3 + 2*w**2 - f - 4*w**3.
(w - 1)*(w + 1)*(w + 2)
Let w(m) be the third derivative of 1/8*m**4 + 0*m + 0*m**3 + 1/10*m**5 + 0 + 1/40*m**6 - m**2. Factor w(y).
3*y*(y + 1)**2
Let o(w) be the first derivative of -3*w**4/4 + 7*w**3 + 3*w**2/2 - 21*w - 86. Solve o(x) = 0.
-1, 1, 7
Find q, given that -2/3*q**2 + 0 + 4/3*q + 2/3*q**5 - 2*q**3 + 2/3*q**4 = 0.
-2, -1, 0, 1
Factor 0*v - 2/21*v**3 + 0 - 50/7*v**2.
-2*v**2*(v + 75)/21
Suppose 4*h**4 - 9*h**3 + 0*h + 4*h - h - h**4 - 3*h**2 + 6*h**3 = 0. Calculate h.
-1, 0, 1
Factor v**2 + 3687*v - 3688*v - 22*v**2 + v**2.
-v*(20*v + 1)
Let f be -3 - 0/12*(-1)/(-2). Let a(k) = -k**5 + 8*k**4 - 3*k**3 + 3*k**2 - 3*k. Let h(o) = o**5 - o**3 + o**2 - o. Let n(j) = f*h(j) + a(j). Factor n(r).
-4*r**4*(r - 2)
Let p(f) be the third derivative of -f**6/780 - 163*f**5/390 - 323*f**4/156 - 161*f**3/39 + 2*f**2 + 45*f. Factor p(h).
-2*(h + 1)**2*(h + 161)/13
Let l(v) be the third derivative of 8*v**5/45 + 13*v**4/18 - 4*v**3/3 + 22*v**2. Let l(w) = 0. Calculate w.
-2, 3/8
Let b be (-1)/(-12)*(4 + 4). Let f(n) be the first derivative of 0*n - b*n**3 - 3 + n**2. Let f(o) = 0. What is o?
0, 1
Let i = -42/73 - -418/219. Factor 2/3*n**4 - 2*n**3 + i*n**2 + 0 + 0*n.
2*n**2*(n - 2)*(n - 1)/3
Let b be 1/2 - 14/(-4). Suppose 0 - 12 = -4*d - 5*f, -3*f - 12 = -4*d. Determine l so that 7*l**3 - 9*l**b + 13*l**3 - 11*l**3 - 3*l**2 + d*l**5 = 0.
0, 1
Let t(v) be the second derivative of -v**6/35 + v**5/70 + 19*v**4/63 - 4*v**3/21 - 8*v**2/21 - 440*v. Solve t(j) = 0 for j.
-2, -1/3, 2/3, 2
Suppose -5*z - 50 = -4*o + 25, -5*o + 4*z = -96. Factor -6*i + 32*i + 6*i - 16 - o*i**2 + 4*i**3.
4*(i - 2)**2*(i - 1)
Let k = 99 - 91. Let -9*s + k*s + 21*s**4 - 17*s**4 - s**5 + 4*s**2 - 6*s**3 = 0. Calculate s.
0, 1
Let d be (-6)/69 - 164/(-1886). Find v, given that -1/2*v**4 - 7/2*v**3 - 3*v**2 + d + 0*v = 0.
-6, -1, 0
Let o be (-1)/1 - (-7 - -4). What is q in 8*q - 2*q - 2*q**o + 10 + 5 - 19 = 0?
1, 2
Let x be 4/18*-3*(7 + 464/(-32)). Solve -1/5*i**x + 0 + 3/5*i**3 - 2/5*i - 1/5*i**4 + 1/5*i**2 = 0 for i.
-2, -1, 0, 1
Determine u, given that 15837*u**2 - 24 + 20*u**3 + 784*u - 232 - 16205*u**2 = 0.
2/5, 2, 16
Let s(r) = 1785*r + 1789. Let m be s(-1). Let 1/3*d**m - d**2 + 2/3*d + 0 + 0*d**3 = 0. Calculate d.
-2, 0, 1
Let y(i) be the first derivative of -3*i**4/8 + 11*i**3 + 3*i**2/4 - 33*i + 292. Factor y(q).
-3*(q - 22)*(q - 1)*(q + 1)/2
Let f(l) = -l + 1. Let m(j) = 11*j + 43. Let w(u) = -4*f(u) - m(u). Let h be w(-7). Factor 3/4*k**h + 0 + 3/4*k.
3*k*(k + 1)/4
Let a(v) = 2*v**3 - 13*v**2 + 13*v - 40. Let i be a(6). Factor 1/2*c**i + 0 - 1/2*c.
c*(c - 1)/2
Let z(f) be the second derivative of f**4/48 - 5*f**3/48 + f**2/8 - 4*f - 2. Solve z(x) = 0 for x.
1/2, 2
Let n(y) be the second derivative of 121*y**7/210 - 11*y**6/30 - 57*y**5/100 - 3*y**4/20 + 769*y. Solve n(k) = 0.
-3/11, 0, 1
Let y(b) = -2*b**2 + 4*b - 3. Let g = -92 - -82. Let x(d) = 4*d**2 - 8*d + 5. Let t(f) = g*y(f) - 6*x(f). Suppose t(q) = 0. What is q?
0, 2
Let s be 2/12 + 22/(-132). Factor s*o + 0 - 1/3*o**4 - 2/3*o**2 + o**3.
-o**2*(o - 2)*(o - 1)/3
Suppose 3*r - 7*r = -0*r. Factor -s**2 + 7*s + r*s - s - 2*s.
-s*(s - 4)
Let c be 5/(-1) - 60 - 5. Let x be (-82)/c - 32/56. Factor u - x*u**2 + 1/5*u**4 - 2/5 - 1/5*u**3.
(u - 1)**3*(u + 2)/5
Factor -1/3*q**2 - 361/3 + 38/3*q.
-(q - 19)**2/3
Let w be (-8)/(-22) + (-8 - -8). Let f = -54/5 - -604/55. Factor w*l + f + 2/11*l**2.
2*(l + 1)**2/11
Let j(o) = o - 5. Let z be j(5). Let c(y) be the second derivative of -5*y + z + 0*y**3 + 1/42*y**4 - 4/7*y**2. Suppose c(b) = 0. What is b?
-2, 2
Let s be (-99)/2 + (-17)/(-34). Let o = s + 34. Let b(v) = -v**2. Let n(k) = -7*k - 2. Let h(t) = o*b(t) - 3*n(t). Determine c, given that h(c) = 0.
-1, -2/5
Let j be ((189/(-2))/3)/((-36)/(-72)). Let a be (-40)/j - 118/(-531). Factor a + 15/7*v + 9/7*v**2.
3*(v + 1)*(3*v + 2)/7
Let 24*u**2 + 30 + 284*u - 91*u + 16*u**2 + 52*u = 0. What is u?
-6, -1/8
Let n(d) be the second derivative of 0 - 15*d - 3*d**3 - 1/4*d**4 - 27/2*d**2. Factor n(u).
-3*(u + 3)**2
Let h(u) = -u**3 - u**2 + 5*u - 3. Let s(k) = k**2 - 1. Let c(q) = -h(q) - 3*s(q). Let c(j) = 0. What is j?
-2, 1, 3
Let l(c) = c**5 + 2*c**3 - 2*c. Let m(t) = 6*t**5 + 3*t**4 - 3*t**3 - 15*t**2 - 12*t. Let s(r) = -3*l(r) + m(r). Suppose s(h) = 0. What is h?
-1, 0, 2
Let w(p) be the third derivative of -p**8/13440 + p**7/2520 - p**6/1440 + p**4/24 - 8*p**2. Let y(u) be the second derivative of w(u). Let y(v) = 0. What is v?
0, 1
Solve -240 - 70*z - 720*z**2 - 716*z**2 + 1431*z**2 = 0 for z.
-8, -6
Let x(i) be the third derivative of i**7/280 - i**6/32 - 3*i**5/80 + 13*i**4/32 + 5*i**3/4 - i**2 - 2. Determine w, given that x(w) = 0.
-1, 2, 5
Suppose 3*r - 3*s = 0, 0 = 4*r - 9*r - 2*s. Let -1/2*a + r + 3/2*a**2 = 0. Calculate a.
0, 1/3
Let s(b) be the first derivative of 1/4*b**4 + 1/3*b**3 + 0*b**2 + 0*b - 1/5*b**5 - 1/6*b**6 - 5. Let s(w) = 0. What is w?
-1, 0, 1
Let g(n) be the first derivative of 19*n**6/900 - 17*n**5/300 - n**4/30 + 4*n**3 + 1. Let q(j) be the third derivative of g(j). Factor q(b).
2*(b - 1)*(19*b + 2)/5
Let l(q) be the second derivative of -5*q**5/24 + 5*q**4/4 - 35*q**3/36 - 5*q**2/2 - 112*q. Solve l(u) = 0 for u.
-2/5, 1, 3
Let b(j) = -1. Let w(l) = 3*l**2 + 6*l - 10. Suppose 7 = 3*m + z, -4*m = -z + 4*z - 16. Suppose 4*i + 1 = 3*i. Let s(k) = i*b(k) + m*w(k). Factor s(p).
3*(p - 1)*(p + 3)
Let h(f) be the third derivative of -1/18*f**4 - 2*f**2 + 0 + 0*f + 1/18*f**3 + 1/45*f**5. Factor h(j).
(2*j - 1)**2/3
Let i(j) = 1 + 0 - 5 - j + 3. Let v be i(-4). Let 14*m - 4*m - 48*m**2 - 3 + 17*m - v*m = 0. Calculate m.
1/4
Suppose 27*a = 17*a. Let j(z) be the third derivative of -1/48*z**4 + a + 0*z + 1/240*z**5 - 1/8*z**3 + 3*z**2. Factor j(t).
(t - 3)*(t + 1)/4
Factor 5*o + 22/7 + 2*o**2 + 1/7*o**3.
(o + 1)*(o + 2)*(o + 11)/7
Suppose -208*w - 204*w = -429*w. Let -1/3*k**4 + 0*k**2 + 1/6*k**3 + 0*k + 1/6*k**5 + w = 0. Calculate k.
0, 1
Suppose 5*q - 30 = -3*x, 3 = 2*x - 3*q + 2. Factor 21*v**3 - 114*v**2 - 5*v**x + 2*v**5 - 24*v**4 - 96*v**3 - 24 - 84*v.
-3*(v + 1)**2*(v + 2)**3
Suppose -5*g + 81 = 22*g. Let n(p) be the first derivative of 0*p**g + 0*p**2 - 1/2*p**4 + 3 + 0*p. Find u such that n(u) = 0.
0
Let f(x) = 15*x**4 - 244*x**3 + 165*x**2 + 390*x - 17. Let n(t) = 5*t**4 - 82*t**3 + 55*t**2 + 130*t - 6. Let l(y) = 6*f(y) - 17*n(y). Factor l(g).
5*g*(g - 13)*(g - 2)*(g + 1)
Let b(o) be the first derivative of 4 + 5/2*o**2 + 0*o**4 + 0*o + 1/10*o**5 + 0*o**3 + 1/40*o**6. Let i(t) be the second derivative of b(t). Factor i(x).
3*x**2*(x + 2)
Suppose -46*t + 86 = -144. Let n(g) be the first derivative of 1/2*g**2 - 1/3*g**3 + 0*g - 6 - 1/4*g**4 + 1/5*g**t. Factor n(