 -10*c. Determine d, given that 2/11*d + 48/11*d**3 + 0 - 18/11*d**2 - 32/11*d**c = 0.
0, 1/4, 1
Let q be ((-4)/(-6))/(22/(-1353)). Let b = q - -42. Factor 1/2*h - 1/2*h**3 + b - h**2.
-(h - 1)*(h + 1)*(h + 2)/2
Let y be -1 + -1 + 0 + 4. Let f = 42 + -40. Factor -p + 5*p**2 - y*p**3 - p - 5*p**3 + 4*p**f.
-p*(p - 1)*(7*p - 2)
Let n = 7407/14 - 529. Let i(s) be the second derivative of s + 0*s**3 + 0 + 1/10*s**6 + n*s**7 + 0*s**4 - 3/10*s**5 + 0*s**2. Let i(c) = 0. Calculate c.
-2, 0, 1
Let v(p) = 2*p**4 - 4*p**3 - 20*p**2. Let l(m) = m**4 - 2*m**3 - 11*m**2. Let f(u) = 11*l(u) - 6*v(u). Factor f(b).
-b**2*(b - 1)**2
Suppose 0 = -6*n + 21*n - 60. Let i(w) be the second derivative of n*w + 1/80*w**5 + 1/24*w**4 - 1/8*w**3 + 0 + 0*w**2. Let i(q) = 0. Calculate q.
-3, 0, 1
Let u = 2993/6 + -5983/12. Factor -15/4*g**2 + 12*g + 16 + u*g**3.
(g - 8)**2*(g + 1)/4
Let l = 311 - 305. Let v be 172/20 + -3 - (l - 1). Factor 3/5*q**3 - v*q - 1/5 + 1/5*q**2.
(q - 1)*(q + 1)*(3*q + 1)/5
Suppose 0 = -2*u - 0*u + 6. Determine f, given that -5*f**2 - 2*f**2 - 9*f**u + 10*f**2 = 0.
0, 1/3
Let n(o) be the third derivative of 1/6*o**4 + 2/105*o**7 + 0 - 1/15*o**6 + 0*o - 2/15*o**5 + 1/84*o**8 - 13*o**2 + 2/3*o**3. Factor n(y).
4*(y - 1)**2*(y + 1)**3
Let l(r) = r**4 + 9*r**3 + 8*r**2 + 7. Let y = -18 - -23. Let k(p) = -p**3 - p**2 - 1. Let z(n) = y*l(n) + 35*k(n). Find u such that z(u) = 0.
-1, 0
Factor -18/11*d + 24/11*d**2 - 2/11*d**3 - 4.
-2*(d - 11)*(d - 2)*(d + 1)/11
Let z(v) = -9*v**2 - 6*v + 22. Let y(b) = -4*b**2 - 3*b + 11. Let f(j) = -5*y(j) + 2*z(j). Let a be f(2). Factor 0*c - 2/3*c**2 + 2/9*c**a + 8/9.
2*(c - 2)**2*(c + 1)/9
Let q(t) be the third derivative of t**10/75600 + t**9/37800 - t**8/8400 + 13*t**4/24 + 19*t**2. Let m(d) be the second derivative of q(d). Factor m(a).
2*a**3*(a - 1)*(a + 2)/5
Let r(c) = 65*c**2 - 90*c - 195. Let u(s) = 5*s**2 - 7*s - 15. Let a = -17 - -20. Let w(v) = a*r(v) - 40*u(v). Determine j so that w(j) = 0.
-1, 3
Let u = 32 - 40. Let s be (-2)/u - (-21)/12. Factor 4*n**s + 22 + 2*n**2 + 2*n**4 + 8*n**3 - 22.
2*n**2*(n + 1)*(n + 3)
Factor 5/4*g**5 + 0*g + 0*g**4 + 0 + 0*g**2 - 5/4*g**3.
5*g**3*(g - 1)*(g + 1)/4
Factor -40/17 + 2/17*s**2 - 38/17*s.
2*(s - 20)*(s + 1)/17
Let c(n) be the second derivative of -2*n**7/147 + 2*n**6/105 + 2*n**5/35 - 119*n. Find s such that c(s) = 0.
-1, 0, 2
Let u(q) be the second derivative of -q**6/90 - 5*q**3/6 + 10*q. Let y(n) be the second derivative of u(n). Solve y(f) = 0.
0
Suppose 15 = 2*i + 3*g + 35, 3*i = -5*g - 34. Solve 4/3*d**3 - 16/3*d + 32/3 - 8/3*d**i = 0.
-2, 2
Let x(f) be the first derivative of f**7/560 + 13*f**6/720 + f**5/15 + f**4/12 + 4*f**3 + 32. Let d(a) be the third derivative of x(a). Factor d(t).
(t + 2)**2*(3*t + 1)/2
Factor 147 - 59 + 5*x**2 - 48*x + 38 - 3*x**2.
2*(x - 21)*(x - 3)
Let o(k) be the third derivative of k**5/75 + 3*k**4/10 + 16*k**3/15 - 53*k**2 + 2*k. Solve o(g) = 0.
-8, -1
Suppose 3*v - 38 - 22 = 0. Suppose -3*k + 0 = 12, -b + v = -5*k. Find a such that -1/2*a + b*a**2 + 1/2*a**3 + 0 = 0.
-1, 0, 1
Suppose -41 = -6*f + 121. Factor -205 - 51 - 37*m - f*m - 4*m**2.
-4*(m + 8)**2
Suppose 0 + 2/9*c**2 - 4/9*c = 0. What is c?
0, 2
Suppose -2 = o + 4*w, 6 = 5*o - 3*w - 7. Let j(b) be the third derivative of 0*b**4 + 0*b**3 + 0 - 2*b**o + 1/90*b**5 + 0*b. Factor j(r).
2*r**2/3
Solve -3/4*p**2 + 0*p - 3/4*p**3 + 0 = 0 for p.
-1, 0
Let v = 2 - -10. Let u = v + -10. Factor -7 + 4 - 1 - 18*n - 14*n**u.
-2*(n + 1)*(7*n + 2)
Suppose -18*m = -12*m - 1650. Let s be (-66)/m*60/(-9). Suppose 16/5 + s*h + 1/5*h**2 = 0. Calculate h.
-4
Let b be (-106)/(-60) - 2*7/84. Let l(z) be the first derivative of 0*z**2 - 4/3*z**3 + 4 + 0*z + 9/2*z**4 - b*z**5. Factor l(x).
-2*x**2*(x - 2)*(4*x - 1)
Let g = 10676/9 + -1186. Factor 0 - 1/9*a - g*a**2 + 2/9*a**4 + 1/9*a**3.
a*(a - 1)*(a + 1)*(2*a + 1)/9
Let j(d) be the third derivative of -d**7/105 + d**6/15 - d**5/15 - d**4/3 + d**3 + 40*d**2 - 3*d. Suppose j(r) = 0. What is r?
-1, 1, 3
Let v(w) be the second derivative of 0*w**2 - 1/15*w**4 + 0 + 32/75*w**6 - 2/15*w**3 - 17*w + 16/25*w**5. Find m such that v(m) = 0.
-1, -1/4, 0, 1/4
Suppose 0 = -2*n + 4*n - 3*u - 16, -u - 2 = n. Suppose 2*l - o - 2 - 1 = 0, -n*o + 3 = -l. Suppose 9*s**3 + 12*s**l - 19*s**3 - 2*s**2 = 0. Calculate s.
0, 1
Suppose 7/3 - 1/3*r**2 - 2*r = 0. What is r?
-7, 1
Let g(p) be the second derivative of -2*p**7/27 - 58*p**6/135 - 32*p**5/45 - 4*p**4/27 - 22*p + 2. Find v, given that g(v) = 0.
-2, -1/7, 0
Suppose 9*d = -19 - 26. Let z be (-20)/(-16) + d/4. Solve z - 3/2*a + 15/4*a**4 - 3/2*a**2 + 21/8*a**3 + 9/8*a**5 = 0.
-2, -1, 0, 2/3
Suppose 0 = -2*r - 6, 4*r = m + 5*r + 1. Factor 4*y**2 + 5*y**2 - 8*y**m + 8 - 6 + 3*y.
(y + 1)*(y + 2)
Let w = -187232/5 + 37568. Let o = w + -121. Suppose 0*k**2 + 2/5 + o*k - 1/5*k**3 = 0. Calculate k.
-1, 2
Suppose -159 = -5*d + d + m, 0 = -4*d + 2*m + 158. Let 4*s**2 + 80 + s**2 + s**2 + d*s - s**2 = 0. What is s?
-4
Suppose 5*n + 4*f - 24 = 0, -3*f - 11 = -3*n - 2*f. Suppose -n = -b - 0*b. Factor 55*c**3 + 8*c**2 - 3*c**4 + 2*c**5 - 39*c**3 + 13*c**b.
2*c**2*(c + 1)*(c + 2)**2
Let y be (210/7)/(3/2). Solve -91*x + 23 + 15*x - y*x - 599 - 4*x**2 = 0 for x.
-12
Let t = -49 + 42. Let l be t/4 + (1 - -1). Factor -l*f + 0 + f**2.
f*(4*f - 1)/4
Factor 0 + 0*q - 2/11*q**4 + 6/11*q**3 + 20/11*q**2.
-2*q**2*(q - 5)*(q + 2)/11
Let t(j) be the first derivative of -j**4/24 + j**3/3 - 3*j**2/4 - 9*j - 5. Let a(n) be the first derivative of t(n). Find p, given that a(p) = 0.
1, 3
Let c(v) be the second derivative of 17*v + 0*v**3 + 3/28*v**4 - 6/7*v**2 + 0 + 3/140*v**5. Solve c(d) = 0.
-2, 1
Let j be (1/1 - 4)/(1501/(-76)). Let v = j - 22/1185. Determine o, given that -4/15*o**2 - v - 2/5*o = 0.
-1, -1/2
Suppose -3*m - 6 = -5*f, 3*f + 4*m - 21 = -0. Determine p so that -p**4 + 0*p**4 + 3*p**4 - 2*p**f = 0.
0, 1
Let w = -151 - -156. Let n(o) be the second derivative of 0*o**2 + 0*o**3 + 7*o + 7/50*o**w - 1/15*o**4 + 0. Let n(p) = 0. What is p?
0, 2/7
Let i(k) be the third derivative of -7*k**6/324 + k**5/135 + k**4/27 + 7*k**3/6 - 5*k**2. Let j(h) be the first derivative of i(h). Factor j(m).
-2*(5*m - 2)*(7*m + 2)/9
Let w be 4*(14/4 - 3). Let k(o) be the first derivative of -4 - 3*o**3 - o**4 + 5*o**4 - w*o + 6*o**2 - 3*o**3 - 2*o**4. Factor k(v).
2*(v - 1)**2*(4*v - 1)
Let o be 85/135*6 - 10/(-45). Factor 208/3*y - 9*y**o + 45*y**3 - 84*y**2 - 64/3.
-(y - 1)*(3*y - 4)**3/3
Let s(c) be the second derivative of -c**6/50 + 27*c**5/50 - 181*c + 1. Factor s(h).
-3*h**3*(h - 18)/5
Let y(a) be the first derivative of a**6/15 + 18*a**5/25 + 16*a**4/5 + 112*a**3/15 + 48*a**2/5 + 32*a/5 + 97. Factor y(r).
2*(r + 1)*(r + 2)**4/5
Suppose -74*t = -79*t + 5*p, 4*p - 20 = -t. Solve 0 + 0*x - 1/4*x**t + 0*x**2 + 0*x**3 = 0 for x.
0
Let j(m) be the first derivative of m**4/38 + 44*m**3/57 - 23*m**2/19 - 530. Let j(v) = 0. Calculate v.
-23, 0, 1
Let p(z) = -4*z**2 + 13*z + 16. Let y be p(-5). Let b = y + 151. Find k, given that 2*k - 40/13*k**4 + 36/13*k**b - 18/13*k**5 + 4/13 - 8/13*k**3 = 0.
-1, -2/9, 1
Suppose -c - 5*c + 12 = 0. Factor 7 - 11 - 8*s - 2 - 2*s**c.
-2*(s + 1)*(s + 3)
Let w(i) be the first derivative of -i**6/20 + i**5/30 + i**4/4 - i**3/3 + 12*i**2 + 19. Let y(a) be the second derivative of w(a). Factor y(c).
-2*(c - 1)*(c + 1)*(3*c - 1)
Suppose 4*h = -y + 17, 2*h - 13 = -5*y + 6*h. Suppose -3*l + 0*l + 4*v = 6, -y*v = -15. Factor 0*w + 1/2*w**l + 0.
w**2/2
Let a(u) be the second derivative of 0 + 10/3*u**3 - 13*u + 0*u**2 + 1/3*u**4. Suppose a(w) = 0. Calculate w.
-5, 0
Let d be 50/15*(-18)/(-252). Let j(m) be the second derivative of -4/35*m**5 - 4/21*m**3 - d*m**4 - 2*m - 2/105*m**6 + 0*m**2 + 0. Factor j(w).
-4*w*(w + 1)**2*(w + 2)/7
Let y(o) be the second derivative of 11*o**5/80 + 5*o**4/8 - o**3/2 - 8*o**2 + 27*o. Let k(i) be the first derivative of y(i). Factor k(u).
3*(u + 2)*(11*u - 2)/4
Let u(v) be the third derivative of -v**6/60 + v**5/5 - 11*v**4/12 + 2*v**3 - 213*v**2. Let u(l) = 0. Calculate l.
1, 2, 3
Let b = -12501 - -12501. What is x in -4*x**2 + b - 2/3*x**3 - 10/3*x = 0?
-5, -1, 0
Let g(f) = -3*f**3 - 2*f**2 - 3*f - 2. Let h be g(-1). Factor -4 - 4*w**4 + 8*w**3 - 4*w**5 + 2*w**2 + 4*w**2 - 4*w + 2*w**h.
-4*(