*2 + 2*c.
(c + 2)**2/2
Let z be ((-4)/(-3))/(2/6). Suppose -3 = -z*o + 3*o. Determine t, given that 0 - 5/4*t**2 - t**o - 1/4*t = 0.
-1, -1/4, 0
Let k(f) be the third derivative of 0 - 1/40*f**6 + 1/240*f**5 + 3/32*f**4 + 1/12*f**3 + 2*f**2 + 0*f. Find z such that k(z) = 0.
-2/3, -1/4, 1
Suppose -s = -p - 4*s + 12, 2*p = 4*s - 6. Let c(w) be the second derivative of -1/30*w**5 - 1/3*w**2 + 0 + 1/9*w**p - w + 1/18*w**4. Find u such that c(u) = 0.
-1, 1
Let m be 8/(-14)*1 - 495/(-462). Solve 0 + 0*k - 1/4*k**3 + m*k**2 = 0 for k.
0, 2
Let o(r) = -9*r + 20. Let h be o(2). Suppose 0 + 2/3*f**3 + 8/3*f - 8/3*f**h = 0. Calculate f.
0, 2
Let -19 - 2*a**4 + 34 - 15 = 0. What is a?
0
Suppose -10 = 4*w - 9*w. Solve 0*l - 2/7*l**w + 2/7*l**3 + 0 = 0.
0, 1
Let b(f) = -4*f**3 + 3*f**2 - 3*f + 4. Let d(p) = -p**3 + p**2 - p + 1. Let w(h) = -6*b(h) + 21*d(h). Factor w(x).
3*(x - 1)*(x + 1)**2
Suppose 0 = -5*f + 5*j - 0 + 10, -6 = -3*f - j. Let v(y) be the second derivative of -3*y - 1/36*y**4 + 0 + 0*y**f + 1/9*y**3. Suppose v(x) = 0. What is x?
0, 2
Let o(a) = 19*a**4 + 263*a**3 + 1088*a**2 + 256*a. Let x(g) = 132*g**4 + 1840*g**3 + 7616*g**2 + 1792*g. Let y(b) = 20*o(b) - 3*x(b). Let y(s) = 0. What is s?
-8, -1/4, 0
Let 1/5*t**4 + 27/5*t**2 - 27/5*t - 9/5*t**3 + 0 = 0. What is t?
0, 3
Let y(u) be the first derivative of 2*u**3/9 + 11*u**2/12 - u/2 + 4. Determine l, given that y(l) = 0.
-3, 1/4
Let o(f) be the third derivative of f**7/1050 - f**6/150 + f**5/50 - f**4/30 + f**3/30 - 7*f**2. Solve o(b) = 0 for b.
1
Suppose -3*t = 3*j - 6, 2*j - 13 = -4*t - 3. Let k = 2 - j. Find m, given that 5*m**4 + m**5 + 0*m**5 + 4*m - 2*m**3 + 7*m**2 - 2*m + 11*m**k = 0.
-2, -1, 0
Let i(c) be the second derivative of c**9/13608 - c**7/3780 - 2*c**3/3 - 5*c. Let g(x) be the second derivative of i(x). Factor g(w).
2*w**3*(w - 1)*(w + 1)/9
Suppose -1 - 7/4*v**3 - 23/4*v**2 - 5*v = 0. What is v?
-2, -1, -2/7
Let t(j) = -11*j**3 - 25*j**2 + 8*j. Let y(v) = 12*v**3 + 26*v**2 - 7*v - 1. Let a(r) = -3*t(r) - 4*y(r). Factor a(f).
-(f + 2)*(3*f + 1)*(5*f - 2)
Let c = 1147 - 1144. Factor -4/11 - 8/11*z**2 - 10/11*z - 2/11*z**c.
-2*(z + 1)**2*(z + 2)/11
Suppose -2*k - w + 5 = 0, -5*w + 3 = -2*k + k. Factor -m**k - m**2 + m - m**3 - m - m.
-m*(m + 1)**2
Let w be (3/(-15))/(2*10/(-25)). Factor w*g - 1/4*g**4 + 0 - 1/4*g**3 + 1/4*g**2.
-g*(g - 1)*(g + 1)**2/4
Let w(y) be the first derivative of y**5/210 - y**4/42 - 3*y**2/2 - 3. Let b(g) be the second derivative of w(g). Factor b(l).
2*l*(l - 2)/7
Factor -3 - p + 1/4*p**2.
(p - 6)*(p + 2)/4
Let j(c) = -6*c**3 - 2*c + 4. Suppose 4*p - 3*p - 4 = 0. Suppose 2*k + p = k. Let d(l) = -13*l**3 - 5*l + 9. Let s(m) = k*d(m) + 9*j(m). Factor s(v).
-2*v*(v - 1)*(v + 1)
Let -f**3 + 4*f**3 - 5*f**2 + 2*f**2 = 0. What is f?
0, 1
Let m(z) = 2*z**2 + 3*z. Let s be m(-2). Solve 1 + 7 + 8*h - s + 2*h**2 = 0.
-3, -1
Suppose 3*f = -2*f + 5*s + 50, -25 = 5*s. Suppose 2*d = 5*b + 4, -3*b - d + f*d = 8. Find u, given that -4/7*u - 2/7*u**2 + b = 0.
-2, 0
Let q(d) = d**3 - d**2 + d. Let s = -8 - -5. Let t(n) = -n**3 + n**2 - 3*n + 1. Let b(i) = s*t(i) - 6*q(i). Factor b(h).
-3*(h - 1)**2*(h + 1)
Let s(o) = -2*o + 4. Let j be s(-5). Factor -252*u - 25 - 46*u**2 + 126*u**3 + 7*u**2 - j - 69 - 27*u**4.
-3*(u - 3)**2*(3*u + 2)**2
Let r(d) be the first derivative of -4*d**3/15 - 14*d**2/5 - 24*d/5 + 22. Determine z so that r(z) = 0.
-6, -1
Let g(l) be the first derivative of 1/120*l**5 + 0*l - 1/48*l**4 + 0*l**3 - 1/2*l**2 + 3. Let i(h) be the second derivative of g(h). Factor i(y).
y*(y - 1)/2
Let d be (-2)/(-6) + 10/6. Solve 0*b**2 - d*b + 4*b**2 - 2*b**2 = 0.
0, 1
Let v(d) be the third derivative of d**6/120 - 3*d**5/20 - 3*d**4/8 - 4*d**3/3 + 2*d**2. Let p be v(10). What is i in 0*i - 2/7*i**p + 0 = 0?
0
Factor 4/15 + 2/15*q**2 - 2/5*q.
2*(q - 2)*(q - 1)/15
Let p(x) = -x**3 + 4*x**2 + 6*x. Let u be p(5). Suppose -5*o + 2*r + 20 = 0, -u*o + 3*r + 21 = -2*o. Factor 0 - o*s**3 + 0.
-2*s**3
Let b be (((-1)/210)/1)/(54/(-63)). Let n(d) be the third derivative of 0 + 2*d**2 + b*d**5 - 1/360*d**6 - 1/18*d**3 + 1/72*d**4 + 0*d. Factor n(s).
-(s - 1)**2*(s + 1)/3
Suppose 6*y = 2*y - 4. Let g = y - -3. Factor -6/5*b**2 + 4/5 + g*b.
-2*(b - 2)*(3*b + 1)/5
Solve 4/3*l**2 + 8/3*l + 4/3 = 0.
-1
Determine i, given that -44*i**2 - 60*i**4 - 20*i**5 - 8*i**4 - 9*i**5 + 9*i**5 - 8*i - 84*i**3 = 0.
-1, -2/5, 0
Let d(v) = 2*v**2 + 2*v + 2. Let s be d(-2). Let c(m) be the third derivative of 0 + 0*m + 0*m**3 + 1/240*m**5 + 1/48*m**4 - 1/160*m**s - m**2. Factor c(j).
-j*(j - 1)*(3*j + 2)/4
Let g = -4 + 6. Let c = -29/3 + 10. Factor -1/3*a + 4/3*a**g - c*a**5 + 0 - 2*a**3 + 4/3*a**4.
-a*(a - 1)**4/3
Let p(k) = 2*k - 2. Let f be p(3). Solve -4/9*w**f - 2/9*w**3 + 0 + 0*w**2 - 2/9*w**5 + 0*w = 0.
-1, 0
Factor -2*a - 1/4*a**3 - 1 - 5/4*a**2.
-(a + 1)*(a + 2)**2/4
Let l(s) be the third derivative of -s**9/2016 + s**8/560 - s**7/560 + 2*s**3/3 + 3*s**2. Let m(d) be the first derivative of l(d). Let m(q) = 0. Calculate q.
0, 1
Let p(n) = 27*n**3 - 39*n**2 + 27*n. Let m(w) be the first derivative of -7*w**4/4 + 10*w**3/3 - 7*w**2/2 + 7. Let g(c) = -15*m(c) - 4*p(c). Factor g(d).
-3*d*(d - 1)**2
Let t(s) = 5*s**2 - 6*s - 2. Let q(z) = z**3 + 9*z**2 - 13*z - 4. Let i(c) = -3*q(c) + 7*t(c). Factor i(f).
-(f - 2)*(f - 1)*(3*f + 1)
Suppose -v + 0*u + 8 = 4*u, u + 17 = -5*v. Let p(g) = -g**3 - 4*g**2 - g - 4. Let r be p(v). Solve 1/3*h**3 + r*h + 0 - 1/3*h**2 = 0 for h.
0, 1
Let o(l) be the second derivative of -l**6/195 - 21*l**5/130 - 49*l**4/26 - 343*l**3/39 - 42*l. Suppose o(r) = 0. Calculate r.
-7, 0
Let d(w) be the third derivative of -4*w**7/175 - 7*w**6/100 + 9*w**5/100 + 11*w**4/40 + w**3/5 - 22*w**2. Find q such that d(q) = 0.
-2, -1/2, -1/4, 1
Let j(a) = a**3 + 2*a**2 + 10*a + 3. Let h(f) = f**3 + f**2 + 11*f + 3. Let o(d) = -3*h(d) + 4*j(d). Let o(n) = 0. What is n?
-3, -1
Let q = 7 + -7. Suppose 2*y - y - 2 = q. Let 2/7*b**y - 2/7 + 0*b = 0. Calculate b.
-1, 1
Suppose 0 = -5*f + 2*f + 6. Suppose 5*c = 3*h + 21, -f*h = 3*c + 1 - 6. Solve w**2 + 0 + 1/3*w - 4/3*w**c = 0 for w.
-1/4, 0, 1
Let n be -4 + -2 + 5/50*65. Factor 0*s - n*s**3 + 0 + 1/2*s**2.
-s**2*(s - 1)/2
Suppose -c - 2*c = -12*c. Factor 1/3*l**3 + c + 0*l**2 - 1/3*l.
l*(l - 1)*(l + 1)/3
Let j be (-39)/(-18) - 2/12. Factor -2 - 4*r - r + r - 2*r**j.
-2*(r + 1)**2
Suppose 0 = 3*y - 0*y - 6. Factor -3*f**y - 2*f**2 + 2*f**2 + 2*f**2.
-f**2
Let x(t) be the first derivative of -80*t**5 + 10*t**4 + 55*t**3/3 - 5*t**2 - 9. Let x(f) = 0. What is f?
-2/5, 0, 1/4
Let l(n) be the third derivative of n**9/22680 + n**8/5040 - n**6/540 - n**5/180 - n**4/8 - 4*n**2. Let b(m) be the second derivative of l(m). Factor b(g).
2*(g - 1)*(g + 1)**3/3
Factor 0*r + 0 + 2/15*r**2.
2*r**2/15
Let r = -16 + 11. Let x(i) = i**3 + 4*i**2 - 7*i - 7. Let z be x(r). Factor -j**2 + j**z - j**5 + 0*j**3 + 0*j**3 + j**4.
-j**2*(j - 1)**2*(j + 1)
Let o(m) be the first derivative of -m**6/2 + 9*m**5/5 + 3*m**4/4 - 7*m**3 + 12*m + 6. Determine f so that o(f) = 0.
-1, 1, 2
Let u(i) = -3*i + 1. Let d be u(-1). Solve 3*s**4 + d*s**5 + s**2 - 2*s**5 - 3*s**3 - 3*s**5 = 0.
0, 1
Let u = 767 - 3831/5. Solve -u*j**4 - 2/5*j**3 + 2/5*j - 2/5 + 6/5*j**2 = 0.
-1, 1/2, 1
Let x(j) be the second derivative of -j**4/72 - j**3/12 + 2*j. Solve x(p) = 0 for p.
-3, 0
Let j(f) be the third derivative of 0*f + 0 - 1/18*f**4 + 1/18*f**5 - 1/45*f**6 - 6*f**2 + 0*f**3 + 1/315*f**7. Solve j(h) = 0.
0, 1, 2
Let s(a) = -a + 5. Let x be s(5). Let c(n) = n**3 + 2*n**2 - 28*n - 22. Let v be c(-6). Factor x*p**3 - 1/2*p**v + 0*p + 1/4 + 1/4*p**4.
(p - 1)**2*(p + 1)**2/4
Let k(d) = -d**3 - 3*d**2 + d + 7. Let v be k(-2). Suppose 1/2*x**3 + 2*x**2 + v + 5/2*x = 0. What is x?
-2, -1
Let k(l) be the third derivative of 1/36*l**4 + 0*l + 4*l**2 + 0 + 1/180*l**5 + 1/18*l**3. Let k(y) = 0. Calculate y.
-1
Let m(h) = -h**3 - 7*h**2 - 8*h - 9. Let f be 9/(-1)*1 - -3. Let t be m(f). Factor -8*k + 8*k**t - 8*k**2 - 2*k**4 + 8*k.
-2*k**2*(k - 2)**2
Let l(j) = -2*j - 8. Let f be l(-6). Let t(r) be the second derivative of -1/120*r**6 - r + 1/48*r**f - 1/80*r**5 + 0 + 0*r**2 + 1/24*r**3. Factor t(w).
-w*(w - 1)*(w + 1)**2/4
Let u(n) = 5*n**2 + 2*n + 5. Let i(a) = -10*a**2 + 18*a**2 - 1 - 9*a**2 + 0. 