uppose g(z) = 0. Calculate z.
-1, 2
Let u(h) = h**2 + 45*h - 684. Let t be u(12). Suppose -1/9*z**2 + t - 1/9*z = 0. What is z?
-1, 0
Let g be (20/30)/((42/(-36))/(-1)). Determine u so that -6/7*u**2 + 2/7*u + g = 0.
-2/3, 1
Let p(c) be the third derivative of 0*c + 0*c**5 + 1/40*c**6 - 3/8*c**4 - 17*c**2 - c**3 + 0. Solve p(v) = 0 for v.
-1, 2
Suppose 1678*m**3 - 3*m**2 - 3338*m**3 + 1669*m**3 + 12*m**4 = 0. What is m?
-1, 0, 1/4
Let v(i) = i**2 - 3. Let g(n) = n**2 - 4. Let y(u) = -2*g(u) + 3*v(u). Let w be y(2). Factor w*q + 3/5*q**3 - 12/5*q**2 - 6/5.
3*(q - 2)*(q - 1)**2/5
Let s = 8806 + -132082/15. Factor -s*m + 0 + 2/15*m**2.
2*m*(m - 4)/15
Let q(j) be the first derivative of -14*j**3/3 + 341*j**2 + 196*j - 60. Let q(p) = 0. Calculate p.
-2/7, 49
Let r be -4*(25/10 + -3). Factor r*z**2 - z**2 - 1 - 3*z**2 + 3.
-2*(z - 1)*(z + 1)
Determine k so that -7/6*k + 1 + 1/6*k**2 = 0.
1, 6
Let p(o) = -o**2 + o - 1. Let m(n) = 5*n**4 + 75*n**3 + 305*n**2 + 255*n - 10. Let s(z) = m(z) - 10*p(z). Factor s(h).
5*h*(h + 1)*(h + 7)**2
Let g(u) be the first derivative of -1/21*u**4 + 0*u**3 + 2*u**2 - 1/210*u**5 + 1 + 0*u. Let c(x) be the second derivative of g(x). Factor c(a).
-2*a*(a + 4)/7
Let l = -4839 - -4841. Factor 24/7*v - 24/7 - 6/7*v**l.
-6*(v - 2)**2/7
Let q(s) be the third derivative of s**7/630 - s**6/9 + 437*s**5/180 - 361*s**4/36 + 63*s**2. Factor q(i).
i*(i - 19)**2*(i - 2)/3
Let t = 186 - 216. Let k be 10*(-12)/t + -2. Factor 1/2 - 13/4*n + 3/2*n**k.
(n - 2)*(6*n - 1)/4
Factor -84*x + 28*x**3 + 10 + 36*x**3 - 42 - 70*x**3 - 58*x**2.
-2*(x + 1)*(x + 8)*(3*x + 2)
Let x be (45/(-132))/((-147)/784). Factor -50/11 - 2/11*c**2 - x*c.
-2*(c + 5)**2/11
Let j = -1425 + 1427. Let x(q) be the second derivative of -j*q**3 + 5/4*q**4 - 3/2*q**2 + 8*q + 0. Factor x(p).
3*(p - 1)*(5*p + 1)
Let t(m) be the third derivative of m**6/72 - 73*m**5/180 - 5*m**4/12 + 349*m**2. Determine g so that t(g) = 0.
-2/5, 0, 15
Let w(d) be the third derivative of d**5/78 - 11*d**4/156 + 2*d**3/13 - 615*d**2. Factor w(i).
2*(i - 1)*(5*i - 6)/13
Let k = 38/9 + -2/3. Let g(i) be the first derivative of 4 + 0*i**2 + k*i**3 - 2/3*i. Determine v so that g(v) = 0.
-1/4, 1/4
Let m(g) = 5*g**2 + 360*g - 400. Let z(c) = 3*c**2 + 183*c - 200. Let h(j) = 2*m(j) - 5*z(j). Determine i so that h(i) = 0.
-40, 1
Let g = -10 + 11. Suppose -4 - 1 + g + 4*w**2 - 4 + 4*w = 0. What is w?
-2, 1
Let 2/5*c**4 - 8/5 + 8/5*c + 6/5*c**2 - 8/5*c**3 = 0. Calculate c.
-1, 1, 2
Suppose -4 - 2 = -2*n, 4*s - 4 = 4*n. Let w(i) be the second derivative of -4*i**2 - 5*i - 4/3*i**3 + 0 - 1/6*i**s. Factor w(k).
-2*(k + 2)**2
Let n(t) be the first derivative of -6 - 1/20*t**4 + 0*t**3 - 7*t + 3/10*t**2. Let h(i) be the first derivative of n(i). Solve h(p) = 0 for p.
-1, 1
Let j(r) = -5*r**4 - 7*r**3 + 46*r**2 + 45*r - 288. Let b(m) = 14*m**4 + 20*m**3 - 138*m**2 - 136*m + 864. Let l(z) = -3*b(z) - 8*j(z). Factor l(y).
-2*(y - 3)**2*(y + 4)**2
Let r = 7 + -5. Let n be (30/(-25))/(r/(-5)). Let -y + 2*y**5 - 4*y**3 + 8*y**4 + 3*y + 8*y**2 + 7*y**3 + 9*y**n = 0. Calculate y.
-1, 0
Let h(t) be the second derivative of -t**6/480 + 3*t**5/40 - 9*t**4/8 + 9*t**3 - 11*t**2/2 + 2*t. Let d(w) be the first derivative of h(w). Factor d(n).
-(n - 6)**3/4
Factor -44*v**2 + 12*v**3 - 14*v - 16 - 22*v + 84*v.
4*(v - 2)*(v - 1)*(3*v - 2)
Let o(r) be the third derivative of -r**7/126 - 5*r**6/36 - r**5 - 35*r**4/9 - 80*r**3/9 - 340*r**2. Determine w so that o(w) = 0.
-4, -2
Let x(z) be the third derivative of z**5/30 + z**4/6 + 62*z**2. Factor x(j).
2*j*(j + 2)
Let r(f) = 5*f**3 + 20*f**2 - 57*f - 72. Let l(u) = -2*u**3 - 2*u**2. Let x(z) = -l(z) - r(z). Let x(t) = 0. What is t?
-8, -1, 3
Let q(o) be the second derivative of 3*o**2 - 3*o - 1/20*o**5 + 0 + 1/4*o**4 + 0*o**3. Let r(c) be the first derivative of q(c). Factor r(z).
-3*z*(z - 2)
Let n(h) be the third derivative of -h**8/28 + 26*h**7/35 - 141*h**6/40 - 91*h**5/10 - 49*h**4/8 - 17*h**2 - 1. Solve n(f) = 0 for f.
-1/2, 0, 7
Let 5*g**4 + 848*g - 464*g + 184*g**2 - 512 - 14*g**3 - 46*g**3 - g**4 = 0. What is g?
-2, 1, 8
Let l(g) be the first derivative of g**7/42 - g**5/6 + 5*g**3/6 - 3*g**2/2 - 1. Let t(k) be the second derivative of l(k). Factor t(d).
5*(d - 1)**2*(d + 1)**2
Factor 122/11*l**2 + 72/11 + 28/11*l**3 + 168/11*l + 2/11*l**4.
2*(l + 1)**2*(l + 6)**2/11
What is y in 4 - 46/3*y + 64/3*y**2 + 2/3*y**5 - 12*y**3 + 4/3*y**4 = 0?
-6, 1
Let -h**2 - 10*h**2 + 8*h**2 + 38*h + 12*h**2 + h**3 + 6*h**2 + 24 = 0. What is h?
-12, -2, -1
Let b(k) be the first derivative of k**3/18 - 43*k**2/6 - 88*k/3 - 654. Factor b(d).
(d - 88)*(d + 2)/6
Let i(c) be the second derivative of c**6/30 - 2*c**5/5 + c**4/2 + 4*c**3/3 - 7*c**2/2 - 59*c + 1. Find o, given that i(o) = 0.
-1, 1, 7
Suppose -9 = -5*z - n, 9*z + n + 52 = 73. Factor -2*u**z - 2/5*u**5 + 4/5*u**2 + 0*u + 8/5*u**4 + 0.
-2*u**2*(u - 2)*(u - 1)**2/5
Let n(j) be the third derivative of 1/36*j**4 + 13*j**2 + 1/540*j**5 + 0*j**3 + 0 + 0*j - 1/1080*j**6. Factor n(s).
-s*(s - 3)*(s + 2)/9
Let p(m) be the third derivative of m**5/12 - 85*m**4/4 + 4335*m**3/2 + m**2 + 269. Factor p(w).
5*(w - 51)**2
Let g be -10*(-5)/(-10)*34. Let o be -1 + 51/g*22/(-3). Let 2/5*a**2 - 6/5*a**3 + 2/5*a**4 - 4/5 + o*a = 0. Calculate a.
-1, 1, 2
Let h = -7 - -11. Suppose h*z - 11 = -3. Factor 2 - 16*f - z*f**2 + 1 - 11 + 6*f**3.
2*(f - 2)*(f + 1)*(3*f + 2)
Let w(m) be the third derivative of m**5/15 - 109*m**4/6 - 220*m**3/3 + 198*m**2. Factor w(y).
4*(y - 110)*(y + 1)
Let w be 98/490 - (2 - (-27)/(-15)). What is x in -2/3*x**3 + 4/15*x**2 + w*x + 8/15*x**4 + 0 - 2/15*x**5 = 0?
0, 1, 2
Suppose -5*o = -5*t - 130, -6*t + 2*t + 57 = 3*o. Let q = -23 + o. Factor q*x**5 + 4*x**4 - 3*x**5 + 58*x**2 - 60*x**2 + x**3.
-x**2*(x - 1)**2*(3*x + 2)
Let k(c) be the first derivative of -c**4/8 + 2*c**3 - 27*c**2/4 - 168. Factor k(q).
-q*(q - 9)*(q - 3)/2
Let 70*o**2 + 75*o**2 - 148*o**2 - 15*o = 0. What is o?
-5, 0
Let y = 33 + -13. Suppose -2*n - 2*n + y = 0. Suppose n*h + h - 8*h - h**2 + 5*h = 0. What is h?
0, 3
Suppose 19*t - 14 = 12*t. Let x(v) be the first derivative of -18/5*v**4 + 21/10*v**2 + 6/5*v - 3 - t*v**3. Solve x(z) = 0.
-2/3, -1/4, 1/2
Find u, given that 696*u - 10 - 125*u**2 + 855 + 19*u + 5*u**3 = 0.
-1, 13
Let o(f) be the second derivative of 3*f**5/140 + 4*f**4/7 + 32*f**3/7 - 20*f. Find z such that o(z) = 0.
-8, 0
Let i(y) be the first derivative of 2*y**5/135 - y**4/36 - y**3/27 + y**2 + 8. Let m(t) be the second derivative of i(t). Factor m(q).
2*(q - 1)*(4*q + 1)/9
Suppose 2*v + 8 = 6*v. Let q(n) be the first derivative of -4*n**3 + v*n**2 + 2*n**3 + n**3 + n**2 + 3. Factor q(m).
-3*m*(m - 2)
Let v(p) = -p**3 - 16*p**2 - 24*p + 199. Let j be v(-13). What is k in 10/19*k - 6/19*k**2 - 2/19*k**j - 10/19*k**3 + 8/19 = 0?
-4, -1, 1
Let z(p) be the second derivative of -p**5/15 + p**4 - 10*p**3/3 + 17*p**2 + 25*p. Let x(h) be the first derivative of z(h). Let x(r) = 0. Calculate r.
1, 5
Let q(m) = -m**3 - 7*m**2 - 7*m - 2. Let v be q(-6). Let j(z) = -5*z**2 + 140*z - 984. Let n(f) = 1. Let l(i) = v*n(i) + j(i). Factor l(c).
-5*(c - 14)**2
Let w(q) = -73*q**4 - 32*q**3 - 13*q**2. Let t(y) = -18*y**4 - 8*y**3 - 3*y**2. Let s = -24 - -28. Let u(x) = s*w(x) - 18*t(x). Solve u(d) = 0 for d.
-1/4, 0
Let x be -1 - ((-5)/5 - 2). Factor -3*l**x + 44*l**3 + 37*l**3 - 84*l**3.
-3*l**2*(l + 1)
Let c = 2/13 - -212/143. Let k(n) be the first derivative of -50/33*n**3 - c*n - 2 + 30/11*n**2. Factor k(o).
-2*(5*o - 3)**2/11
Let r(k) = -k**3 + k**2 + 4*k. Suppose -3*v - 7 = 2*d - 0*d, 0 = -5*v - 2*d - 13. Let o be r(v). Factor -o*j - 24 + 25*j**2 - 24 - 28*j**2.
-3*(j + 4)**2
Let q(y) be the second derivative of -y**7/1260 - 11*y**6/1080 - 13*y**5/360 - y**4/18 + 3*y**3 - 5*y. Let w(f) be the second derivative of q(f). Factor w(g).
-(g + 1)*(g + 4)*(2*g + 1)/3
Let h**3 - 37/3*h + 2/3*h**2 + 4 = 0. Calculate h.
-4, 1/3, 3
Let p be (-1)/(-4) + 28/112. Let -15*i**2 - p + 19/4*i + 63/4*i**3 = 0. Calculate i.
2/7, 1/3
Let y(m) be the second derivative of -1/2*m**3 + 22*m - 3*m**2 + 0 + 1/4*m**4. Factor y(s).
3*(s - 2)*(s + 1)
Let f(l) = l + 4. Let t be f(0). Let p(j) be the first derivative of -4 - j**3 - t*j + 0*j + 7*j. Factor p(h).
-3*(h - 1)*(h + 1)
