cond derivative of c(b). Factor q(o).
3*(o - 4)*(o + 1)/7
Let f(o) = 7*o**2 + 42*o + 143. Let n(l) = -57*l**2 - 336*l - 1143. Let v(q) = -33*f(q) - 4*n(q). Factor v(i).
-3*(i + 7)**2
Let n(z) = -17*z**4 + 46*z**2 + 80*z + 19. Let o(k) = 11*k**4 - 31*k**2 - 53*k - 13. Let c(g) = -5*n(g) - 8*o(g). Find f such that c(f) = 0.
-1, 3
Let d(s) be the third derivative of -s**6/160 - 39*s**5/80 + 85*s**4/32 + 123*s**3/8 + 8*s**2 + 17*s. Suppose d(x) = 0. What is x?
-41, -1, 3
Suppose -5*b + 8 = -42. Suppose -b = -4*w + 6. Find x, given that 2*x**4 + 4*x**3 - 10*x**2 + 4*x**w - 4*x + 4*x**4 = 0.
-1, -2/5, 0, 1
Suppose 98/11*d + 50/11 + 46/11*d**2 - 2/11*d**3 = 0. What is d?
-1, 25
Let l = -81 - -151/2. Let t = -5 - l. What is w in 0*w + 0 - t*w**3 + 1/4*w**4 + 1/4*w**2 = 0?
0, 1
Let y = 1877/2 + -938. Let k(g) be the second derivative of -1/48*g**4 + 0 + 0*g**3 - 9*g + y*g**2. Determine m, given that k(m) = 0.
-2, 2
Let c(u) = u**4 - u**3 + u - 1. Let m(l) = 13*l**4 + 29*l**3 - 57*l**2 + 19*l - 4. Let d(w) = -4*c(w) + m(w). Let d(a) = 0. What is a?
-5, 0, 1/3, 1
Let t(d) be the first derivative of d**9/7560 - d**8/2100 - d**7/700 + 20*d**3/3 - 9. Let k(g) be the third derivative of t(g). Factor k(u).
2*u**3*(u - 3)*(u + 1)/5
Let a be 234/39*2/6. Let x be (-2)/(-7) + (-38)/(-14). Factor -10*q**3 - q**3 + 2*q**x - 5*q**3 - 3*q**4 - 20*q**a - 8*q.
-q*(q + 2)**2*(3*q + 2)
Let h be ((-130)/(-20))/((-2)/4). Let n = 13 + h. Find f such that n - 3*f + 1 + 1 + f**2 = 0.
1, 2
What is o in -9/4 - 147/8*o**4 + 225/8*o**2 + 21/8*o - 9/2*o**5 - 45/8*o**3 = 0?
-3, -2, -1/3, 1/4, 1
Let c(y) = 19*y**5 - 18*y**4 + 12*y**3 + 13. Let n(w) = 3*w**5 - 3*w**4 + 2*w**3 + 2. Let o(p) = -6*c(p) + 39*n(p). Suppose o(z) = 0. Calculate z.
0, 1, 2
Let h(v) be the first derivative of -v**3/6 - 5*v**2/2 - 9*v/2 - 26. Determine k, given that h(k) = 0.
-9, -1
Let m(u) be the second derivative of 1/55*u**5 - 25*u + 1/66*u**4 + 0 + 0*u**2 - 1/11*u**3. Find a, given that m(a) = 0.
-3/2, 0, 1
Suppose 2135 = -3*r - 1609. Let n be 3*(-1)/2 - r/576. Suppose n*q + 0 + 0*q**2 - 2/3*q**3 = 0. Calculate q.
-1, 0, 1
Factor 37/3*g + 4 + 5*g**3 + 1/3*g**4 + 13*g**2.
(g + 1)**3*(g + 12)/3
Let s(t) be the second derivative of -t**5/15 + 5*t**4/3 - 50*t**3/3 + 9*t**2 + 15*t. Let d(a) be the first derivative of s(a). Suppose d(p) = 0. Calculate p.
5
Let z be ((-7)/(-21))/((-1)/3). Let x be 1 - z/(-1)*-3. Factor 96*c**x + 290*c**2 + 32 + 180*c - 21*c**4 + 10*c**5 + 215*c**3 + 8.
5*(c + 1)*(c + 2)**3*(2*c + 1)
Let k(o) = 11*o**2 - 16*o - 34. Let l(j) = -7*j**2 + 17*j + 34. Let g(w) = 4*k(w) + 6*l(w). Factor g(d).
2*(d + 2)*(d + 17)
Let x(m) be the first derivative of -3*m**4/4 - m**3 + 63*m**2/2 + 135*m - 494. Factor x(c).
-3*(c - 5)*(c + 3)**2
Let z(h) be the second derivative of h**4/84 - 13*h**3/42 - 24*h**2/7 + 5*h + 28. Factor z(v).
(v - 16)*(v + 3)/7
Let p(d) be the first derivative of -2*d**3/3 + 18*d**2 - 162*d - 134. Solve p(b) = 0.
9
Let y(p) be the first derivative of 3/10*p**2 + 0*p + 12 + 2/5*p**3 + 3/20*p**4. Solve y(x) = 0.
-1, 0
Let x = 10 + -1. Suppose -2*b - 2*s - s + x = 0, b = s + 2. Factor 12 + 3*v**4 - v**b - 9*v**2 - 2*v**3 - 6 + 3*v.
3*(v - 2)*(v - 1)*(v + 1)**2
Suppose 3*k = x - 14, x - 4*k = -3*k + 10. Determine c so that 5*c**2 - c**2 - x*c**3 + 7*c**3 - 2*c - c**3 = 0.
0, 1
Let z(b) = 48*b - 26. Let a be z(6). Let g = -3400/13 + a. Factor 4/13*j + 2/13*j**2 - g.
2*(j - 1)*(j + 3)/13
Let z(j) be the second derivative of -j**4/54 + 5*j**3/9 + 76*j**2/9 - 196*j - 2. Let z(p) = 0. Calculate p.
-4, 19
Factor -9/2*k**3 - 29/2*k**2 - 1/2*k**4 - 9 - 39/2*k.
-(k + 1)*(k + 2)*(k + 3)**2/2
Let u = 18873/2 - 9432. What is x in -15/2*x**4 + 33/2*x + 9/2*x**5 - 21*x**3 + 3*x**2 + u = 0?
-1, -1/3, 1, 3
Let f(s) = 7*s**2 + 127*s - 129. Let c be f(1). Find x such that -3/2*x**3 + c - 3/2*x - 8*x**2 = 0.
-5, -1, 2/3
Let w(i) be the second derivative of -i**6/10 - 27*i**5/20 + 21*i**4/4 - 11*i**3/2 + 6*i + 8. Factor w(d).
-3*d*(d - 1)**2*(d + 11)
Suppose -3*l - 4*u = -195, -2*l = u + 2*u - 131. Find c, given that c**5 - 7*c**3 - 4*c**2 + 0*c**2 - l*c**4 + 59*c**4 = 0.
-1, 0, 4
Let p be -2*2*(-1)/4*2. Factor 10*a**2 + 12*a**2 - 16*a + 12*a**p - 38*a**2.
-4*a*(a + 4)
Let g(w) = -1 + 11*w**2 - 10*w**2 - 5*w + 3*w + 3*w. Let z(n) = -3*n**4 + 4*n**2 - 2*n - 1. Suppose 5*i + 2 = -8. Let f(h) = i*g(h) - z(h). Factor f(r).
3*(r - 1)**2*(r + 1)**2
Let d(o) be the third derivative of -o**7/280 + 3*o**6/160 + o**5/20 - 3*o**2 + o. Factor d(b).
-3*b**2*(b - 4)*(b + 1)/4
Factor -3/7*c**3 + 12/7*c**2 + 0 - 9/7*c.
-3*c*(c - 3)*(c - 1)/7
Let h be 140/60 - (-8)/12. Solve 48/7*g**2 - 34/7*g**h - 26/7*g + 8/7*g**4 + 4/7 = 0.
1/4, 1, 2
Let t(k) be the second derivative of -1/85*k**5 + 0*k**2 + 2/51*k**4 - 1/51*k**3 + 1/119*k**7 + 0 - 4/255*k**6 + 3*k. Suppose t(f) = 0. What is f?
-1, 0, 1/3, 1
Let d(b) = -7*b + 151. Let h be d(21). Suppose -4*l + 3*l - 5*v - 7 = 0, 0 = -4*l - 3*v + 6. Let 3*x**5 + 2*x**2 - h*x**5 + 3*x**3 + 3*x - l*x = 0. What is x?
-1, 0, 2
Suppose 0 = -4*x + i + 6, -5*x - 3*i + 4 = -12. Determine f, given that -x*f**5 + 0*f**5 - 24*f**3 + 16*f**5 + 10*f**2 - 18*f**4 - 2*f**2 = 0.
-1, 0, 2/7, 2
Solve -864/5*f**2 - 48/5*f**3 - 6912/5*f - 20736/5 - 1/5*f**4 = 0.
-12
Let g = 1023 + -1023. Let t = 899/3 - 297. Factor 0*n - 2*n**5 - 8/3*n**4 + t*n**3 + 0 + g*n**2.
-2*n**3*(n + 2)*(3*n - 2)/3
Let m(w) = w**3 - 8*w**2 - 10*w + 11. Let x = 35 - 26. Let j be m(x). Find c such that 2/3*c - c**j + 0 = 0.
0, 2/3
Let l(p) be the first derivative of p**4/16 + p**3/6 - 19*p**2/8 - 5*p - 240. Solve l(o) = 0 for o.
-5, -1, 4
Let f(i) = -5*i**2 - 10*i + 8. Let g(a) = -6*a**2 - 11*a + 10. Let y(t) = -5*f(t) + 4*g(t). Factor y(j).
j*(j + 6)
Factor 20 - 47*d + 28051*d**2 - 28045*d**2 + 13*d.
2*(d - 5)*(3*d - 2)
Let d(a) be the first derivative of -a**4/2 - 122*a**3/3 + a**2 + 122*a - 115. Find f, given that d(f) = 0.
-61, -1, 1
Let l = -5807/3 + 1937. Solve 1 + 1/3*h**2 + l*h = 0.
-3, -1
Let u(p) be the second derivative of -p**7/3360 - 11*p**6/2880 - p**5/80 - p**4/2 - 6*p. Let a(o) be the third derivative of u(o). Factor a(b).
-(b + 3)*(3*b + 2)/4
Let y be 18/(-39) + (-3723)/(-1898). Factor -y*j + 3/8*j**2 + 9/8.
3*(j - 3)*(j - 1)/8
Suppose -3*w = w - 12. Suppose -2*m + 76 = 3*b, w*m - 52 = -2*b + m. Factor -50*f**2 + b + 54*f**2 + 32*f + 40.
4*(f + 4)**2
Let v(q) be the second derivative of -q**6/15 + q**5/5 + 7*q**4/6 + 4*q**3/3 - 128*q. Factor v(i).
-2*i*(i - 4)*(i + 1)**2
Let t(d) = 8*d**2 + 4*d + 7. Let r(i) = -i**2 - i - 1. Let b be (-4)/(-16) + 0 + 141/(-4). Let k(n) = b*r(n) - 5*t(n). Factor k(m).
-5*m*(m - 3)
Let k = 1228 + -1225. Factor -3/4*z + 1/4*z**k - 1/2*z**2 + 0.
z*(z - 3)*(z + 1)/4
Let z = -288 + 1443/5. Determine p so that -z*p**2 + 1/5*p**3 - p + 1/5*p**4 - 2/5 = 0.
-1, 2
Let p(r) = 3*r + 15. Let y(w) = -2*w - 7. Let f be y(-1). Let z be p(f). Suppose z - 4/5*i + 7/5*i**3 - 12/5*i**2 = 0. Calculate i.
-2/7, 0, 2
Let j = 0 - -2. Solve -10*c**3 + 463*c**5 + 0*c**4 + 16*c**j - 459*c**5 - 4*c**4 - 6*c**3 = 0.
-2, 0, 1, 2
Let l(i) be the third derivative of -9075*i**8/448 - 5401*i**7/56 - 79699*i**6/480 - 8419*i**5/80 + 27*i**4/4 - i**3/6 - 194*i**2. Find a such that l(a) = 0.
-1, 2/165
Let q(v) = -45*v**2 - 2*v - 2. Let t be q(-1). Let a = -179/4 - t. Determine z so that a - 1/4*z**2 - 1/4*z + 1/4*z**3 = 0.
-1, 1
Let i(q) be the first derivative of 0*q**2 + 0*q**3 + 0*q - 5*q**4 + 3*q**5 + 5/6*q**6 + 32. Factor i(f).
5*f**3*(f - 1)*(f + 4)
Let k(s) be the first derivative of -s**9/1512 + s**7/210 - s**5/60 + 5*s**3 + 5. Let q(v) be the third derivative of k(v). Factor q(o).
-2*o*(o - 1)**2*(o + 1)**2
Let z = 940 - 940. Factor 0 + 1/4*w + z*w**3 - 1/2*w**4 + 1/2*w**2 - 1/4*w**5.
-w*(w - 1)*(w + 1)**3/4
Let t(y) be the third derivative of -1/120*y**6 + 0 + 0*y + 4*y**2 + 1/30*y**5 - 1/24*y**4 + 0*y**3. Determine x, given that t(x) = 0.
0, 1
Let z(s) be the third derivative of s**6/30 + 2*s**5/15 + 2*s**2 + 11. Factor z(b).
4*b**2*(b + 2)
Find q, given that -2042*q**2 + 49 + 2045*q**2 - 36*q + 47 = 0.
4, 8
Let r be (-2)/12 + 52/24. Solve -19*j**r - 40 + 70*j + 32*j**2 - 28*j**2 = 0.
2/3, 4
Let h(q) be the third derivative of q**9/30240 - q**8/15120 - q**7/2520 + q**6/540 + q**5/20 - 9*q**2. Let v(f) 