*d - 152 + 113 = 0. Let f(n) be the first derivative of -1/9*n**d + 3 - 3*n - n**2. Let f(v) = 0. Calculate v.
-3
Let h = 1 + 1. Let l be h/(-1)*(-2)/2. Factor 2/13*s**l + 0 + 2/13*s.
2*s*(s + 1)/13
Factor 7*j**2 + 616 - 12*j**2 - 1376 + 765*j.
-5*(j - 152)*(j - 1)
Let n(v) be the first derivative of 7/36*v**4 + 0*v**2 + 1/5*v**5 - 2/27*v**3 - 28 + 0*v. Factor n(t).
t**2*(t + 1)*(9*t - 2)/9
Let y(c) be the third derivative of -c**10/60480 + c**8/4480 + c**7/2520 + 5*c**4/8 - 5*c**2. Let k(i) be the second derivative of y(i). Solve k(b) = 0.
-1, 0, 2
Let -2/3*h**3 - 6 + 2/3*h**2 + 6*h = 0. What is h?
-3, 1, 3
Factor -44*j**2 - 6*j**3 + 600 + 108*j**2 + 10*j**3 + 340*j.
4*(j + 5)**2*(j + 6)
Let g(m) be the first derivative of m**9/15120 - m**8/8400 - m**7/4200 + m**6/1800 - 10*m**3/3 + 6. Let y(i) be the third derivative of g(i). Factor y(z).
z**2*(z - 1)**2*(z + 1)/5
Suppose -24*s + 2*s + 66 = 0. Let j(f) be the first derivative of 5 - 12*f + 4*f**2 + 4/3*f**s. Factor j(u).
4*(u - 1)*(u + 3)
Factor 0 - 1/6*u + 1/6*u**2.
u*(u - 1)/6
Let a be -2*(-5)/(-40) + 779/12. Let i = a - 64. Suppose 1/3*k**5 + 0 + 2/3*k**2 - i*k**4 + 0*k**3 - 1/3*k = 0. What is k?
-1, 0, 1
Let q(f) be the first derivative of 1/9*f**3 + 0*f + 11 + 1/3*f**2. Suppose q(w) = 0. What is w?
-2, 0
Find h such that 393/4*h**3 - 4 + 3*h + 77/4*h**4 + 86*h**2 = 0.
-4, -1, -2/7, 2/11
Let r(v) be the first derivative of -v**5 + 15*v**4/2 - 55*v**3/3 + 15*v**2 + 6. Factor r(o).
-5*o*(o - 3)*(o - 2)*(o - 1)
Let p(s) be the first derivative of 5*s**3/3 - 5*s**2 - 440. Factor p(x).
5*x*(x - 2)
Let x(b) = -4*b**5 + b**3 - b**2 - b. Let p(m) = 28*m**5 - 164*m**4 + 2338*m**3 - 12994*m**2 + 19610*m - 8788. Let n(v) = p(v) + 6*x(v). Factor n(c).
4*(c - 13)**3*(c - 1)**2
Suppose 7*u + 4*u = -18*u. Let n(r) be the first derivative of u*r + 6*r**2 + 3/4*r**4 + 4 - 4*r**3. Factor n(z).
3*z*(z - 2)**2
Suppose -2*c = -3*d - 13, -8*c - 4 = -4*c. Let y(m) = -4*m**2 - 35*m + 39. Let b(z) = 12*z**2 + 106*z - 118. Let t(g) = d*b(g) - 14*y(g). Factor t(r).
-4*(r - 1)*(r + 11)
Let -2*t**3 + 6*t + 8*t - 40 + 9*t + 4*t**3 + 16*t**2 - t = 0. Calculate t.
-5, -4, 1
Let k(r) be the second derivative of -r**5/10 - r**4 - 4*r**3 - 8*r**2 - 644*r. Suppose k(d) = 0. What is d?
-2
Let i(q) be the second derivative of -8*q**2 - 4*q**3 - 1/10*q**5 + 2*q + 0 - q**4. Determine j so that i(j) = 0.
-2
Let w be (-6)/(-15) + (-4)/10. Let p(u) = u**3 + 4*u**2 + 2. Let z be p(-4). Factor -3*f**2 + 1 + w + z.
-3*(f - 1)*(f + 1)
Let i be ((-112)/(-48))/(2/12 + 1). Suppose -50/9 - 2/9*l**i + 20/9*l = 0. What is l?
5
Suppose 4*i + 20 = 4*h, -i - 4*h - 39 = -69. Determine t, given that 2/11*t**i - 24/11 - 16/11*t + 2/11*t**3 = 0.
-2, 3
Let l(i) be the first derivative of 0*i**3 + 0*i - 5/16*i**4 + 5/8*i**2 + 6. Let l(p) = 0. Calculate p.
-1, 0, 1
Let j(h) = 6*h**4 - 11*h**3 + h**2 + 14*h - 5. Let c(k) = 3*k**4 - 6*k**3 + k**2 + 6*k - 2. Let i(p) = -5*c(p) + 2*j(p). What is m in i(m) = 0?
-1/3, 0, 1, 2
Let y(q) = 63*q**2 + 84*q - 24. Let w(d) = -13*d**2 - 17*d + 5. Let a(n) = 24*w(n) + 5*y(n). Factor a(r).
3*r*(r + 4)
Let b be -9 + 6 - 1*-13. Let f(y) = -3*y**3 - 4*y**2. Suppose -2*c + 7*c = 20. Let t(a) = 7*a**3 + 9*a**2. Let l(d) = b*f(d) + c*t(d). Factor l(j).
-2*j**2*(j + 2)
Let z(u) = -u**3 + 6*u**2 + 19*u + 22. Let l(k) = 6*k**3 - 29*k**2 - 94*k - 112. Let v(p) = -2*l(p) - 11*z(p). Solve v(h) = 0.
-3, -2
Let t(j) = -2*j**4 + 29*j**3 - 49*j**2 + 19*j. Let q(a) = -a**3 + a**2 + a. Let d(f) = -3*q(f) - t(f). Determine y so that d(y) = 0.
0, 1, 11
Let i(a) be the first derivative of -2*a**3/3 - 53*a**2 - 204*a - 5. Let i(n) = 0. What is n?
-51, -2
Let f = -34 + 19. Let a = f + 15. Determine r so that 4*r - 4*r + 4*r + a*r - 4*r**3 = 0.
-1, 0, 1
Let x = 223/2 + -111. Let a(q) be the third derivative of -1/16*q**4 + 1/140*q**7 + 1/80*q**6 - 8*q**2 + x*q**3 + 0*q - 3/40*q**5 + 0. Factor a(k).
3*(k - 1)**2*(k + 1)*(k + 2)/2
Let c(b) be the third derivative of -b**8/672 + b**7/70 - b**6/20 + b**5/15 - 58*b**2. Determine v, given that c(v) = 0.
0, 2
Let h = 169 + -111. Factor 18 + 107 + 5*d**2 - h*d + 8*d.
5*(d - 5)**2
Let j(z) be the third derivative of z**7/105 - 17*z**6/210 + 26*z**5/105 - 2*z**4/7 - 4*z**2 + 14. Factor j(l).
2*l*(l - 2)**2*(7*l - 6)/7
Find g, given that -10/11*g**3 + 2/11*g**5 - 16/11 + 20/11*g**2 + 8/11*g - 4/11*g**4 = 0.
-2, -1, 1, 2
Let b(i) be the second derivative of -i**4/6 - 4*i**3 + 95*i. Determine s so that b(s) = 0.
-12, 0
Let c(n) be the third derivative of -2/3*n**3 + 1/30*n**6 + 1/6*n**5 + 0 + 0*n + 24*n**2 + 1/12*n**4. Find p such that c(p) = 0.
-2, -1, 1/2
Suppose -4*j - 187 = 101. Let n = 76 + j. What is l in -1/2 - 1/2*l**n - 3*l**2 - 2*l**3 - 2*l = 0?
-1
Let c(p) be the third derivative of -3*p**8/112 - 41*p**7/105 - 673*p**6/360 - 27*p**5/10 + 16*p**3/9 - 154*p**2. Determine a, given that c(a) = 0.
-4, -1, -1/3, 2/9
Suppose -11 = -58*n + 105. Let c(r) be the first derivative of -52/9*r**3 - 16/3*r - 8*r**n - 4/15*r**5 - 2*r**4 - 5. Factor c(x).
-4*(x + 1)**2*(x + 2)**2/3
Let b(o) be the third derivative of -2*o**7/105 + 4*o**6/15 - 2*o**5/5 - 4*o**4/3 + 14*o**3/3 - 23*o**2 + 1. Suppose b(p) = 0. What is p?
-1, 1, 7
Let h(m) = 7*m**5 - 25*m**4 + m**3 + 17*m**2 + 4*m. Let b(q) = -q**5 + q**4 - q**3 + q**2 - q. Let z(u) = 4*b(u) + h(u). Factor z(a).
3*a**2*(a - 7)*(a - 1)*(a + 1)
Let w = -2761 + 2761. Factor 0*g + w - 3/4*g**2 + 3/4*g**3.
3*g**2*(g - 1)/4
Determine b so that -32/9 + 14/9*b**2 - 2/9*b**3 - 16/9*b = 0.
-1, 4
Let a(v) be the first derivative of -2*v**6/3 - 24*v**5/5 + 26*v**4 - 16*v**3 - 50*v**2 + 72*v - 121. Determine w, given that a(w) = 0.
-9, -1, 1, 2
Suppose 0 = 23*l - 33*l - 100. Let n be l/18*24/(-60). Suppose -4/9*g - n*g**2 - 2/9 = 0. What is g?
-1
Let o(r) be the second derivative of 19*r - 3/40*r**5 + 0 + 0*r**2 - 25/4*r**3 - 5/4*r**4. Let o(p) = 0. What is p?
-5, 0
Suppose 0 = 2*t - 5*t + 9. Let q = t + -1. Solve -d + d - 4*d**2 - q*d - 4 + 6*d**2 = 0 for d.
-1, 2
Let o = -52 + 56. Suppose 3*c + 5 = 2*r - 2*c, 4 = 5*r - 4*c. Solve -71 + 71 + 3*k**5 + r*k**3 + 5*k**o + 2*k**3 = 0.
-1, -2/3, 0
Let y(s) = -45*s + 1890. Let z be y(42). Factor t - 2/3 + z*t**2 - 1/3*t**3.
-(t - 1)**2*(t + 2)/3
Let x(d) be the third derivative of d**5/480 + d**4/64 - 7*d**3/12 - 2*d**2 + 6*d. Factor x(u).
(u - 4)*(u + 7)/8
Determine i so that 0*i**2 + 0*i - 3/2*i**3 + 0 + 3/2*i**4 = 0.
0, 1
Factor -2/7*q**3 - 5726576/7 - 120984/7*q - 852/7*q**2.
-2*(q + 142)**3/7
Let t(g) = -3*g**2 + 5*g + 2. Let l(r) be the first derivative of r**3/3 - r**2/2 - r + 2. Let w be ((-2)/3)/((-1)/(-3)). Let b(f) = w*l(f) - t(f). Factor b(x).
x*(x - 3)
Let z(y) = -3*y**4 + 4*y**3 + 10*y**2 + 2*y. Let n(r) = -13*r**4 + 17*r**3 + 41*r**2 + 9*r. Let t(d) = -4*n(d) + 18*z(d). Factor t(a).
-2*a**2*(a - 4)*(a + 2)
Let s(t) be the third derivative of t**6/120 + t**5/30 - 5*t**4/24 - t**3 + 41*t**2 - 2. Factor s(o).
(o - 2)*(o + 1)*(o + 3)
Find h, given that 3*h**3 - 170*h**4 + h**5 - 17*h + 165*h**4 + 5*h**2 + 13*h = 0.
-1, 0, 1, 4
Let v(m) = 2*m**3 - 39*m**2 - 19*m - 18. Let p be v(20). Solve -2*c**2 - 2*c**3 + 0*c + 5*c**3 - p*c**3 + c = 0.
0, 1
Let o = -76 + 53. Let g = o + 23. Let -7 + 12*w + g - 11 + 0*w**2 - 2*w**2 = 0. What is w?
3
Factor 137216*f - 78016*f**2 + 5130*f**3 + 410*f**3 + 990*f**3 + 3*f**5 - f**5 - 65536 - 196*f**4.
2*(f - 32)**3*(f - 1)**2
Factor 0*u - 15/2*u**3 + 25/4*u**2 + 5/4*u**4 + 0.
5*u**2*(u - 5)*(u - 1)/4
Let x(o) = -4*o**3 - 1. Suppose 4*s - 21 = u - 0*s, s = -5*u. Let a be x(u). Find c, given that -6*c**3 - 2*c + 4*c**3 + 5*c**a - c**3 = 0.
-1, 0, 1
Let y(j) be the second derivative of -j**7/147 - 6*j**6/35 - 61*j**5/70 + 30*j**4/7 - 100*j**3/21 + 411*j. Factor y(d).
-2*d*(d - 1)**2*(d + 10)**2/7
Let i(q) = -q**5 - q**4 + q**2 - q + 2. Let y(r) = -42*r**5 - 70*r**4 + 66*r**3 + 45*r**2 + 15*r - 14. Let o(a) = -28*i(a) - 4*y(a). What is w in o(w) = 0?
-2, -2/7, 0, 1
Let v(u) be the first derivative of -10 + 0*u + 6/35*u**5 + 6/7*u**2 - 9/28*u**4 - 4/7*u**3 + 1/14*u**6. Let v(t) = 0. What is t?
-2, 0, 1
Let y(t) be the third derivative of t**8/448 - t**7/70 + t**6/32 - t**5/40 - t**2 - 505*t. Solve y(h) = 0 for h.
0, 1, 2
Let q be 6/4*(-8)/(-3). Suppose 6*y**5 - 12*y + 4 + 6*y**5 - 12*y**q -