/7*p + a*p**3 - 48/7*p**2 = 0.
4
What is d in -2 + 2 + 0*d**2 + 8*d + 4*d**2 + 16*d**2 = 0?
-2/5, 0
Factor -40/3*s**2 - 145/6*s - 5/6*s**3 - 35/3.
-5*(s + 1)**2*(s + 14)/6
Let 4/3*w - 8 + 8/3*w**2 = 0. What is w?
-2, 3/2
Let a(x) = x**3 - 5*x**2 - 64*x + 14. Let f be a(-6). Solve -12/5 + 2/5*t**2 - f*t = 0.
-1, 6
Factor -3/4*a**2 - 9/4 - 15/4*a + 3/4*a**3.
3*(a - 3)*(a + 1)**2/4
Let v(r) be the third derivative of 0*r + 200/3*r**3 + 1/15*r**5 + 37*r**2 + 0 - 10/3*r**4. Factor v(c).
4*(c - 10)**2
Let c(u) = u**3 + 19*u**2 - 43*u - 17. Let i be c(-21). Let -i + 2*w**2 + 10*w - w - 7*w = 0. Calculate w.
-2, 1
Let t(m) be the second derivative of -m**5/50 + m**4/30 + m**3/3 + 3*m**2/5 - 2*m + 12. Solve t(i) = 0 for i.
-1, 3
Let d(w) be the third derivative of -w**7/210 + w**6/200 + w**5/150 - 20*w**2. What is q in d(q) = 0?
-2/5, 0, 1
Let u(h) = 7*h**2 + 4 - 6 + 17*h - 13*h. Let s(j) = j**3 - j**2 - j + 2. Let o be s(0). Let k(f) = -15*f**2 - 9*f + 5. Let a(y) = o*k(y) + 5*u(y). Factor a(g).
g*(5*g + 2)
Let b(q) be the first derivative of q**6/6 - 34*q**5/5 - 27*q**4 - 110*q**3/3 - 37*q**2/2 + 552. Let b(h) = 0. Calculate h.
-1, 0, 37
Let l(w) = 11*w**2 - w + 1. Let o be l(5). Factor -1 - o*a**3 + 268*a**3 - 3 + 7*a**2.
-(a - 2)*(a - 1)*(3*a + 2)
Determine l, given that 3/10 + 39/10*l**2 + 29/10*l**3 + 3/5*l**4 + 19/10*l = 0.
-3, -1, -1/2, -1/3
Let u(j) be the third derivative of 5*j**8/336 + 4*j**7/21 - 15*j**6/8 + 10*j**5/3 + 55*j**4/6 - 40*j**3 - 2*j**2 - 9. Let u(a) = 0. Calculate a.
-12, -1, 1, 2
Let o be -1*2/4*0. Let j = 2 - o. Factor -15 - 6*n**j + 13*n**2 - 10*n - 2*n**2.
5*(n - 3)*(n + 1)
Let -144*s + 120/7*s**2 - 4/7*s**3 + 224 = 0. Calculate s.
2, 14
Suppose 4*f + 5 = -3*x + 11, 3*x + 3*f - 6 = 0. Let t = -19 + 19. Factor 4/7*u**x + t*u - 4/7.
4*(u - 1)*(u + 1)/7
Let z = -2319 + 2324. Suppose -4/5*v + 1/5*v**z - 8/5*v**2 - 3/5*v**3 + 0 + 2/5*v**4 = 0. What is v?
-2, -1, 0, 2
Suppose 427 = 27*n + 373. Factor -10/3*q - 55/3*q**n + 0.
-5*q*(11*q + 2)/3
Let h(x) be the first derivative of -5*x**6/6 - 15*x**5 - 70*x**4 + 120*x**3 + 1080*x**2 - 2160*x + 12. Factor h(d).
-5*(d - 2)*(d - 1)*(d + 6)**3
Determine j so that 30/17*j**3 + 1102/17*j**2 + 144/17 + 796/17*j = 0.
-36, -2/5, -1/3
Let y = 140 - 136. Factor 360*d + 768 + 48*d**3 + 48*d + 360*d + 288*d**2 + d**y + 2*d**4.
3*(d + 4)**4
Suppose -160*z + 3 = -159*z. Let g(n) be the second derivative of 129/10*n**5 + 0 - 4*n + 19/2*n**z - 4*n**6 - 63/4*n**4 - 3*n**2. Let g(q) = 0. What is q?
1/4, 2/5, 1/2, 1
Let x(r) = 6*r + 5. Let n(z) = -7*z - 5. Let k(q) = 3*n(q) + 4*x(q). Let l be k(5). Factor -l*s**2 - 4*s**4 + s**4 + 8*s - s**4 + 16*s**3.
-4*s*(s - 2)*(s - 1)**2
Let j(w) be the first derivative of -w**5/10 + w**4/2 - w**3/2 - w**2 + 2*w + 189. Let j(c) = 0. Calculate c.
-1, 1, 2
Let i be (102/119)/((-8)/((-5376)/45)). Suppose -3*b = -8*b + 25. Suppose -146/5*x**2 + 154/5*x**4 + i*x + 34/5*x**3 - 98/5*x**b - 8/5 = 0. Calculate x.
-1, 2/7, 1
Determine m so that 264/5*m + 5808/5 + 3/5*m**2 = 0.
-44
Let x(n) be the third derivative of n**7/1890 + 2*n**6/135 + 7*n**5/60 - 2*n**4/27 - 32*n**3/27 - 8*n**2 + 3*n. Factor x(d).
(d - 1)*(d + 1)*(d + 8)**2/9
Factor -8*x**2 - 142*x**4 + 117*x**4 + 5*x**5 - 12*x**2 - 3*x + 3*x + 40*x**3.
5*x**2*(x - 2)**2*(x - 1)
Suppose -l = 2*g + 1 - 3, -6 = -l - 3*g. Let k be (l + 7)*(0 + 2). Find c such that -6 + 4 - 3*c**2 + 4*c + c**2 + 0*c**k = 0.
1
Let u be (-2)/6*0 - (0 - -3). Let h be (3/3 + 2)/(-2) - u. Solve h*r**4 + 3/2*r**3 + 1/2*r**2 + 0 + 0*r + 1/2*r**5 = 0 for r.
-1, 0
Let u(c) = -4*c. Let w be u(-1). Suppose -g + 6 = l, -l + w = -4*g + 2*l. Factor -8/3 + 0*z**g - 4*z + 4/3*z**3.
4*(z - 2)*(z + 1)**2/3
Let p(t) be the third derivative of t**6/300 + 14*t**5/75 - 59*t**4/60 + 2*t**3 + 6*t**2 - 9*t. What is m in p(m) = 0?
-30, 1
Let b = 1/501 + 496/2505. Factor 1/5*y + 2/5 - b*y**2.
-(y - 2)*(y + 1)/5
Let t = -575897 - -6329635/11. Let z = t - -476. Solve 14/11*r**4 - 10/11*r**5 + 0 + 6/11*r**3 + z*r - 14/11*r**2 = 0 for r.
-1, 0, 2/5, 1
Let u be -2 + (1 - -2) + 1. Suppose 4*v + 0*v - 8 = -l, -u*v + 14 = -2*l. Factor 1/5*t**v + 2/5*t**4 + 0*t + 0 + 0*t**2 - 3/5*t**5.
-t**3*(t - 1)*(3*t + 1)/5
Let x(j) be the first derivative of j**8/560 + j**7/350 - j**6/100 - j**2 - 8. Let a(n) be the second derivative of x(n). Factor a(u).
3*u**3*(u - 1)*(u + 2)/5
Determine x, given that 4/3*x**4 - 2/3*x + 0 - 2/9*x**3 - 20/9*x**2 = 0.
-1, -1/3, 0, 3/2
Let b(i) = -i**3 + 5*i**2 - 4*i + 1. Let k be b(3). Let j be 18/k - (-16)/(-28). Factor -8*l**2 + 0*l**2 + 8*l**2 - l + l**j.
l*(l - 1)
Suppose 0 = -2*t - 3*t. Let c be ((-3)/(-2) - (-6)/(-2)) + 3. Determine j so that t*j + c*j**2 + 0 + 3*j**3 = 0.
-1/2, 0
Let r(d) be the first derivative of -d**3/18 + 2*d**2 - 27. Solve r(x) = 0 for x.
0, 24
Suppose -f**2 + 24*f**3 - f**2 - 5*f**2 - 3*f**2 - 45*f**4 + 31*f**3 = 0. Calculate f.
0, 2/9, 1
Factor 2/7*p**4 + 26/7*p + 20/7 - 6/7*p**2 - 10/7*p**3.
2*(p - 5)*(p - 2)*(p + 1)**2/7
Let p(x) be the second derivative of 0 + 27/4*x**3 + 1/120*x**5 - 3/8*x**4 - 243/4*x**2 - 25*x. Factor p(t).
(t - 9)**3/6
Let y(c) be the third derivative of c**5/3 - 75*c**4/8 + 55*c**3/6 - 154*c**2. Factor y(x).
5*(x - 11)*(4*x - 1)
Factor -94*q + 3*q**2 - 100 + 2*q**2 - q.
5*(q - 20)*(q + 1)
Let o(b) be the third derivative of -b**8/4032 + b**7/336 - b**5/12 - 3*b**2. Let i(j) be the third derivative of o(j). Suppose i(p) = 0. What is p?
0, 3
Let a(n) = n**2 + 37*n + 6. Let m(r) = 2*r - 3. Let h(w) = -4*a(w) - 8*m(w). Find i, given that h(i) = 0.
-41, 0
Let w(f) = 20*f**2 + f - 8*f**2 - 11*f**2. Let y(u) = -u**3 - 17*u**2 - 77*u - 125. Let n(j) = 2*w(j) + y(j). Suppose n(d) = 0. What is d?
-5
Solve -3/2*i**3 + 3/2*i**2 + 0 + 3*i = 0 for i.
-1, 0, 2
Let r(f) be the second derivative of -f**4/102 - 2*f**3/51 + 3*f**2/17 - 43*f + 2. Factor r(w).
-2*(w - 1)*(w + 3)/17
Let g = 490 - 1462/3. Let l(m) be the second derivative of 8*m**2 + 0 + 1/3*m**4 - 10*m + g*m**3. Factor l(v).
4*(v + 2)**2
Let l(a) be the second derivative of a**4/48 + 5*a**3/12 + 25*a**2/8 - 66*a. Solve l(f) = 0 for f.
-5
Factor 0*d + 0 - 40*d**3 + 600*d**2 + 2/3*d**4.
2*d**2*(d - 30)**2/3
Factor -75/2*o + 36 + 3/2*o**2.
3*(o - 24)*(o - 1)/2
Let f = 1561 - 1561. Let m(j) be the third derivative of 1/15*j**5 + 5*j**2 + 0*j + 1/105*j**7 - 1/20*j**6 + 0*j**4 + f + 0*j**3. Suppose m(r) = 0. What is r?
0, 1, 2
Let n = 147/302 - -2/151. Let w(h) be the second derivative of -6*h**2 + 0 + 11/3*h**3 + 11*h - n*h**4. Factor w(y).
-2*(y - 3)*(3*y - 2)
Let t be (-52)/91 + 108/(-7). Let c be (-7)/(-3) - t/(-48). Solve -8/7*y + 6/7 + 2/7*y**c = 0.
1, 3
Let -27/4*i**4 + 0 - 27*i**2 + 21*i**3 + 12*i + 3/4*i**5 = 0. Calculate i.
0, 1, 2, 4
Suppose -g = -17*g + 80. Let w(m) be the first derivative of 2/15*m**3 - 2 - 1/5*m**2 - 2/25*m**g + 1/10*m**4 + 0*m. Factor w(q).
-2*q*(q - 1)**2*(q + 1)/5
Let n(u) be the third derivative of 0*u**3 - 1/84*u**4 + 1/210*u**5 + 0 + 0*u - 37*u**2. Solve n(k) = 0 for k.
0, 1
Let z(t) be the third derivative of t**6/840 - t**5/42 - 13*t**4/42 - 4*t**3/3 - t**2. Solve z(c) = 0 for c.
-2, 14
Determine v so that 1/4*v**2 + 21/4 + 11/2*v = 0.
-21, -1
Let q(b) = -5*b**2 - 8*b - 3. Let p(n) = 2*n + 3. Let x be p(-3). Let g(r) = -11*r**2 - 16*r - 5. Let u(m) = x*g(m) + 7*q(m). Let u(f) = 0. Calculate f.
-3, -1
Suppose -3*d + 4*j + 3308 = 0, -4*d + j - 1112 = -5*d. Factor -20*w + 7 - 1112*w**3 + 16*w**2 + d*w**3 + 1.
-4*(w - 2)*(w - 1)**2
Let r = 16 + -11. Suppose -r*a + 4 + 1 = 3*i, -21 = -4*a + i. Factor -a - 2*q + 0*q**2 + 3 - q**2.
-(q + 1)**2
Let l(r) = 8*r + 7. Let z(g) = -9*g - 6. Let x(c) = 2*l(c) + 3*z(c). Let h(m) = -m**2 + m. Let f(n) = -4*h(n) - 2*x(n). Factor f(w).
2*(w + 4)*(2*w + 1)
Let j be 3 + 0 - ((-40)/156)/(26/(-273)). Factor 8/13*p**2 - 18/13*p + j.
2*(p - 2)*(4*p - 1)/13
Suppose a - 4*r - 9 = 0, a + r - 45 = -4*a. Suppose -a = -2*u - 1. Factor 2 - 4 + u - 2*c - 4*c**2 - 23*c**5 + 2*c**4 + 4*c**3 + 21*c**5.
-2*(c - 1)**3*(c + 1)**2
Let x(t) be the third derivative of 0 + 0*t - t**2 + 1/90*t**6 + 4/3*t**3 + 1/15*t**5 + 0*t**4. Let g(m) be the first derivative of x(m). Solve g(z) = 0 for z.
-2, 0
Let p(i) be the first derivative of -7*i**4/32 - 23*i**3/24 - 5*i**2/4 - i/2 + 35. Find t, given that p(t) = 0.