) = -h(k) - 8*o(k). Determine x so that t(x) = 0.
-1, 4
Suppose -8 = -m - m. Let i(w) be the third derivative of 1/30*w**5 - 1/12*w**m - 2*w**2 + 0 + 0*w + 0*w**3 + 1/60*w**6 - 1/105*w**7. Factor i(f).
-2*f*(f - 1)**2*(f + 1)
Let u(b) be the first derivative of -42*b**5/5 + 61*b**4/3 + 8*b**3/3 - 8*b**2/3 - 22. Determine x, given that u(x) = 0.
-2/7, 0, 2/9, 2
Let o = -9 + 19/2. Let g = -211/4 - -53. Factor o*q - g*q**2 - 1/4.
-(q - 1)**2/4
Determine r so that -9*r**2 + 310*r + 12 - 310*r - 3*r**3 = 0.
-2, 1
Let c(s) be the third derivative of s**8/112 - 4*s**7/105 + s**6/30 + s**5/10 - 7*s**4/24 + s**3/3 - 6*s**2. Find f such that c(f) = 0.
-1, 2/3, 1
Let v(z) = 7*z**2 - 8*z - 4. Let c(y) = y**2 - 1. Let j(t) = -6*c(t) + v(t). Let n be j(8). Factor -4 + 2 + 9*x**n + 3*x + 2.
3*x*(3*x + 1)
Factor -17*p**3 - 4*p**2 - 3*p**3 - 4*p**2 - 16*p**4 + 4*p**4.
-4*p**2*(p + 1)*(3*p + 2)
Suppose 10 - 1 = 3*s. Let m(f) be the first derivative of 1 - 2*f**2 + 7/3*f**6 + 0*f + 38/5*f**5 + 2/3*f**s + 15/2*f**4. Find p such that m(p) = 0.
-1, 0, 2/7
Let n(x) = -x**3 - x - 1. Let u(d) = 5*d**3 + 9*d + 4. Let m(f) = 6*n(f) + u(f). Factor m(q).
-(q - 1)**2*(q + 2)
Let y = -12 - -8. Let q(b) = b**4 + b**3 - b**2 + b - 1. Let u(h) = -2*h**4 - 10*h**3 + 4*h**2 + 4*h + 4. Let s(r) = y*q(r) - u(r). Let s(v) = 0. Calculate v.
-1, 0, 2
Let x(v) = 9*v**4 - v**3 + 8*v**2 + 7. Let a(f) = -9*f**4 - 7*f**2 - 6. Let k(l) = 7*a(l) + 6*x(l). Find g, given that k(g) = 0.
-1/3, 0
Let r(y) = -y + 2. Let b be r(-2). Let m(j) = 3*j**2 + 4*j + 5. Let c(u) = 8*u**2 + 11*u + 14. Let o(i) = b*c(i) - 11*m(i). Factor o(v).
-(v - 1)*(v + 1)
Let u(a) be the second derivative of -2*a - 7/6*a**4 + 1/3*a**3 + 0*a**2 + 4/5*a**5 + 0 + 16/15*a**6. Let u(w) = 0. Calculate w.
-1, 0, 1/4
Let p(n) be the second derivative of 1/21*n**3 + 0*n**2 + 0 + 1/35*n**5 - 1/14*n**4 + n. Determine k, given that p(k) = 0.
0, 1/2, 1
Factor 4/7*h**3 + 12/7*h + 20/7*h**2 - 36/7.
4*(h - 1)*(h + 3)**2/7
Let b = 18 - 18. Let w(j) be the first derivative of 0*j**2 + 1/18*j**6 + 0*j + 1/12*j**4 + 2/15*j**5 + 1 + b*j**3. Find r such that w(r) = 0.
-1, 0
Let c(f) be the second derivative of -f**4/12 + f**3/6 - 6*f. Let a(b) = 3*b**2 - 3*b. Let z be -1 - (-1 - -3)*-4. Let l(y) = z*c(y) + 2*a(y). Factor l(v).
-v*(v - 1)
Let d = -54 + 58. Factor 1/3*p - 1/3*p**d + 0 + p**3 - p**2.
-p*(p - 1)**3/3
Suppose -2 = 3*f - 17. Suppose 12 = f*m - 4*k, 2*m = -2*m - 3*k - 9. What is t in -2*t**5 - 2*t**4 + m*t**5 + 6*t**2 + 2*t**3 - 4*t**2 = 0?
-1, 0, 1
Factor 41*a**2 - a - 17*a**2 - 2*a - 14*a**3 + 11*a.
-2*a*(a - 2)*(7*a + 2)
Let m(n) be the second derivative of -n**4/24 - n**3/3 - 3*n**2/4 - 12*n. Factor m(d).
-(d + 1)*(d + 3)/2
Let q(z) be the second derivative of z**8/3360 - z**7/140 + 3*z**6/40 - 9*z**5/20 + z**4/3 + 2*z. Let x(j) be the third derivative of q(j). Factor x(r).
2*(r - 3)**3
Let a(z) = z + 1. Let v(x) be the second derivative of x**5/20 + x**4/3 + 3*x**3/2 + 5*x**2/2 + 3*x. Let k(w) = -5*a(w) + v(w). Let k(o) = 0. Calculate o.
-2, 0
Suppose 4*v + 61 = 17. Let n(y) = -y**2 - 12*y - 11. Let u be n(v). Factor 2*j**3 + u + 0*j + 2/5*j**2 + 8/5*j**4.
2*j**2*(j + 1)*(4*j + 1)/5
Let z(w) be the second derivative of -4/15*w**6 + 5/12*w**4 - 1/10*w**5 - 6*w + 0 - 1/6*w**3 + 0*w**2. Find y such that z(y) = 0.
-1, 0, 1/4, 1/2
Let p = 2 + 0. Suppose 6*g**2 + 2*g**2 + p*g**3 + 4*g**3 + 2*g + 0*g = 0. What is g?
-1, -1/3, 0
Let v(l) be the first derivative of l**3/7 + 3*l**2/14 - 6*l/7 - 4. Factor v(u).
3*(u - 1)*(u + 2)/7
Let b(l) be the second derivative of 0 - 1/2*l**2 - l + 1/4*l**4 + 1/3*l**3. Determine v, given that b(v) = 0.
-1, 1/3
Let b be (0/(-4))/(-2 + -2). Let t(o) be the second derivative of 0*o**4 + 0*o**6 + b + 0*o**2 + 0*o**3 + 1/84*o**7 + 0*o**5 + o. Factor t(h).
h**5/2
Factor 9*s**3 - 8 - 4 + 15*s**2 - 9*s - 56*s**4 + 29*s**4 + 24*s**4.
-3*(s - 4)*(s - 1)*(s + 1)**2
Suppose 1 = -2*g + 9. Suppose -4*v + 15 = c, 2*v = 5*c + g*v - 21. Suppose -6 - f + 2*f**c + 5 - f + f**4 = 0. Calculate f.
-1, 1
Let d = 5 - 2. Factor 3*z**3 - 3*z**3 + z**d - z**2.
z**2*(z - 1)
Let o = 19 + -11. Suppose 0*x = -4*g + 3*x + 32, -o = -g - 4*x. Suppose 0 - 7*c**4 - 2*c**2 + g*c**2 - 2*c**3 + 5*c - 3*c**5 + 1 = 0. What is c?
-1, -1/3, 1
Let l = 7/9 + -4/9. Let k(t) = t**2 + 9*t + 3. Let b be k(-9). Factor -l*h**2 + 0*h - 2/3*h**b + 0 - 1/3*h**4.
-h**2*(h + 1)**2/3
Let g(w) = -15*w - 3. Let s be g(-2). Let o be -2 - ((-114)/s - -2). Let o*c**2 + 0 - 2/9*c = 0. Calculate c.
0, 1
Let n(l) be the third derivative of -l**6/1260 + l**5/210 - l**4/84 - l**3/6 + 2*l**2. Let m(c) be the first derivative of n(c). Factor m(v).
-2*(v - 1)**2/7
Let j(v) be the first derivative of -5 + 4/3*v**3 + 0*v + 2/3*v**2 + 25/18*v**6 - 2*v**5 - 11/12*v**4. Determine a, given that j(a) = 0.
-2/5, 0, 1
Let c(f) be the third derivative of f**8/420 + 3*f**7/175 + 7*f**6/150 + 3*f**5/50 + f**4/30 + 5*f**2. Determine i so that c(i) = 0.
-2, -1, -1/2, 0
Let t(c) be the third derivative of 0*c**7 + 0*c**5 + 0 + 0*c + 0*c**3 + c**2 + 1/840*c**8 - 1/150*c**6 + 1/60*c**4. Factor t(g).
2*g*(g - 1)**2*(g + 1)**2/5
Let r = -59 + 179/3. Let v(b) = -b**3 + 3*b**2 + 4*b. Let p be v(4). Factor p + 0*d - 2/3*d**3 + r*d**2.
-2*d**2*(d - 1)/3
Let t = 315 + -6297/20. Let u(k) be the second derivative of -2/5*k**6 + 0*k**2 - t*k**5 + 0 + k**4 + 3*k + 1/2*k**3. Factor u(z).
-3*z*(z - 1)*(z + 1)*(4*z + 1)
Let j be 1/(-2) - 23/(-2). Suppose 2*o + i - 13 = -3*o, 4*i + j = o. Determine k, given that 1/2*k**o + 1/2*k + k**2 + 0 = 0.
-1, 0
Let h(y) be the first derivative of -5*y**3/3 - 14. Factor h(c).
-5*c**2
Let n(b) = 4*b**5 + 24*b**4 + 30*b**3 - 10*b**2 - 34*b + 14. Let i(c) = -c**5 - 5*c**4 - 6*c**3 + 2*c**2 + 7*c - 3. Let r(f) = -28*i(f) - 6*n(f). Factor r(m).
4*m*(m - 2)*(m - 1)*(m + 1)**2
Let y(c) be the second derivative of -c**7/420 - c**6/90 - c**5/60 + c**3/2 + 2*c. Let z(i) be the second derivative of y(i). Suppose z(u) = 0. What is u?
-1, 0
Factor 3*g**4 - 4*g**4 + 35*g**3 - 33*g**3.
-g**3*(g - 2)
Let u(j) = -j**4 + 3*j**3 + 5*j**2 + 7. Let t(z) = -z**2 - 1. Let i(l) = -35*t(l) - 5*u(l). Determine y so that i(y) = 0.
0, 1, 2
Let g(f) be the second derivative of -3*f**4/4 - f**3/2 - f. Determine o so that g(o) = 0.
-1/3, 0
Solve -6/11*a**2 + 0 - 2/11*a - 2/11*a**4 - 6/11*a**3 = 0.
-1, 0
Let j(t) be the second derivative of -7*t + 0 - 1/15*t**4 + 2/15*t**3 + 4/5*t**2. What is y in j(y) = 0?
-1, 2
Let y(u) be the first derivative of -u**3/3 - u**2/2 + 1. Factor y(v).
-v*(v + 1)
Suppose 2*n + 0 = 4. Let f(p) = p**3 - 5*p**2 - 5*p - 4. Let y be f(6). Factor 3 + x**y - 2 - 2*x**n.
-(x - 1)*(x + 1)
Factor 1 - 8*b + 6*b + 3*b**2 - 2*b**2.
(b - 1)**2
Suppose 8 = u + u. Factor 66*y - 10*y**3 - u*y**2 + 14*y**4 - 66*y.
2*y**2*(y - 1)*(7*y + 2)
Let k = 8 - 5. Factor z**2 - 5*z**2 + 4*z - 2*z**2 - z**3 + 3*z**k.
2*z*(z - 2)*(z - 1)
Suppose 8 = 5*d - 2*i, -3*i + 4 = d - i. Let y(g) = -2*g**2 - 1 + 0*g - g + g**2. Let v(z) = -2*z. Let m(h) = d*y(h) + v(h). Let m(a) = 0. Calculate a.
-1
Let x(o) be the third derivative of o**5/300 - o**4/60 + 5*o**2. Factor x(b).
b*(b - 2)/5
Let k(b) = -5*b**3 + 9*b**2 + 21*b + 21. Let t = -22 - -21. Let l(x) = -x**3 - x - 1. Let y(m) = t*k(m) + 6*l(m). Find c such that y(c) = 0.
-3
Let v(m) = m**2 + 45*m + 147. Let n(r) = 4*r**2 + 224*r + 736. Let g(p) = -3*n(p) + 16*v(p). Suppose g(c) = 0. What is c?
-6
Let f(o) be the first derivative of o**6/51 - 2*o**5/17 + 3*o**4/34 + 10*o**3/51 - 4*o**2/17 + 1. Solve f(z) = 0 for z.
-1, 0, 1, 4
Let u(v) = 2*v**2 - 4*v - 4. Let b(p) = -p - 1. Suppose -5*t + 5*o = -4*t, 4*t - 4*o - 16 = 0. Let f be 4/(-5)*25/t. Let d(k) = f*b(k) + u(k). Factor d(m).
2*m**2
Suppose -2*h + 2 = -0*a - 5*a, h - 4 = 4*a. Let t(w) = -w**2 - 6*w - 3. Let n be t(h). Factor -2*s**2 - n*s**2 + 2*s + 0*s**2.
-s*(7*s - 2)
Factor 5/2*n - 1 + 3/2*n**2.
(n + 2)*(3*n - 1)/2
Let o = -4 + 7. Let h(g) be the first derivative of 0*g - 1/2*g**2 - 4/3*g**o - 1. Factor h(v).
-v*(4*v + 1)
Factor -1/7*q + 3/7*q**2 + 1/7*q**3 - 2/7 - 1/7*q**4.
-(q - 2)*(q - 1)*(q + 1)**2/7
Suppose -4*h + 2*n = n + 3, 3*h = n - 3. Suppose -2*l + 10 = 5*w - h*l, 0 = -l. Find k such that -4/7 + 6/7*k - 2/7*k**w = 0.
1, 2
Let c = 2 - 0. Let w be c + 4/(-48)*22. Factor 0*d - 1/