
Solve 80*f - 64 + 112*f + 6*f**3 + 26*f**2 + 18*f**4 - 172*f**2 - 8 + 2*f**5 = 0.
-6, 1
Let d(g) = -g**3 - g**2 - g. Let o(b) = 9*b**3 + 15*b**2 + 19*b - 16. Let k(a) = 22*d(a) + 2*o(a). Factor k(v).
-4*(v - 2)**2*(v + 2)
Let d(q) be the second derivative of q**5/70 - 2*q**4/21 - 5*q**3/21 + 2*q + 23. Find h, given that d(h) = 0.
-1, 0, 5
Let g be (-8)/(-24) + (-127)/3. Let u be (12/g)/((-1)/7). Factor -3*n - 2*n**2 + 2*n**2 - 2 + 2*n + n**u.
(n - 2)*(n + 1)
Let i(h) = 32*h + 7. Let d be i(3). Let -a - a**2 - d - 109 + 214 = 0. Calculate a.
-2, 1
Let u(a) be the first derivative of a**2/2 + 6*a - 4. Let w be u(0). Let w*z**2 - 8 - 4 - 2*z**2 - z**2 = 0. Calculate z.
-2, 2
Let w(z) be the third derivative of z**6/480 + z**5/120 - z**4/32 - 232*z**2 - z. Factor w(c).
c*(c - 1)*(c + 3)/4
Factor -62 - 17*m**2 - 26*m + 2 + 19*m**2.
2*(m - 15)*(m + 2)
Let k(d) = -8*d + 1. Let r be k(-4). Suppose 5*g = r - 23. Find s such that -4*s**2 + 4*s**4 + 4 - 4*s**g - 3 + 3 = 0.
-1, 1
Let g(p) be the second derivative of -16/9*p**3 - 1/9*p**4 - 32/3*p**2 + 0 - 4*p. Find r, given that g(r) = 0.
-4
Let s(n) be the first derivative of n**5/12 + 25*n**4/12 + 15*n**3/2 + 13*n**2 + 31. Let a(l) be the second derivative of s(l). Find d, given that a(d) = 0.
-9, -1
Let m(w) = -w**2 - 1. Let u(a) = -12*a - 16. Suppose -3*t - 5*l + 1 = 5, 2*l + 10 = 3*t. Let r(x) = t*m(x) - u(x). Factor r(i).
-2*(i - 7)*(i + 1)
Let y(i) be the first derivative of i**8/840 - i**7/84 + i**6/60 + 3*i**5/20 + 2*i**3/3 + 10. Let b(v) be the third derivative of y(v). Factor b(o).
2*o*(o - 3)**2*(o + 1)
Let w(l) be the first derivative of -8*l**6/3 + 8*l**5 - 25*l**4/4 - 5*l**3/3 + 5*l**2/2 + l - 19. Let w(c) = 0. Calculate c.
-1/4, 1
Let o = 131/1235 + -3/494. What is t in -4/5*t + 6/5 - o*t**2 + 1/10*t**3 = 0?
-3, 2
Let d(p) be the third derivative of p**8/1680 + p**7/525 - p**6/600 - p**5/150 + 67*p**2. Suppose d(x) = 0. Calculate x.
-2, -1, 0, 1
Let z(y) = y**2 + 1. Let r(f) = 2*f**2 - 115*f + 107. Let o(g) = r(g) + 3*z(g). Factor o(l).
5*(l - 22)*(l - 1)
Suppose 1 + 0 = -z + 4*k, -z = -3*k - 4. Let j(a) = -a**3 + 20*a**2 - 21*a + 40. Let q be j(z). Determine y so that 0 + 3/2*y**q + 3/2*y = 0.
-1, 0
Let o be 110/550 - (118/100 + -1). Let s(n) be the second derivative of -3/20*n**4 + 3/25*n**5 - o*n**6 + 6/5*n**2 - 6*n - 2/5*n**3 + 0. What is t in s(t) = 0?
-1, 1, 2
Suppose -24 = -3*n + 2*n. What is b in n*b - 3*b**2 + 21*b - 51*b = 0?
-2, 0
Suppose 0 = 18*c - 57*c + 78. Factor 3/4*f**c - 15/2*f + 75/4.
3*(f - 5)**2/4
Let s(u) be the first derivative of -4*u**3/15 - 24*u**2/5 + 112*u/5 - 233. Suppose s(m) = 0. Calculate m.
-14, 2
Let l(d) be the first derivative of 8/5*d + 2/5*d**2 - 8/15*d**3 + 12 - 1/5*d**4. Find c, given that l(c) = 0.
-2, -1, 1
Let j be 6*(-5)/((-150)/55). Suppose -1 + 1 = j*i. Find z, given that -10/3*z**3 - 4/3*z + i + 14/3*z**2 = 0.
0, 2/5, 1
Suppose -5*s - 30 = -95. Let y = 17 - s. Determine u so that y*u**4 + 0*u**4 - 3*u**4 + 6*u**3 + u - 2*u**5 + u - 7*u**2 = 0.
-2, 0, 1/2, 1
Let p = 1487 + -1483. Let j(v) be the third derivative of -1/24*v**p + 1/480*v**6 + 11*v**2 + 0*v + 0 + 1/120*v**5 - 1/3*v**3. Determine m so that j(m) = 0.
-2, 2
Let h be ((-1875)/(-70))/15 - (-12)/(-42). Find l, given that h*l**2 - 1/2*l**4 - 1/2*l + 1/2*l**3 - 1 = 0.
-1, 1, 2
Let g(c) be the second derivative of c**7/11340 - c**6/1620 - 2*c**5/135 + c**4/4 + 5*c**2/2 - 2*c + 13. Let u(i) be the third derivative of g(i). Factor u(q).
2*(q - 4)*(q + 2)/9
Let m be 70/50 - 1 - 0. Let w be 10/30 - (-128)/30 - 3. Find r, given that m*r**5 + 8/5*r**3 + 4/5*r**2 + 4/5 - 2*r - w*r**4 = 0.
-1, 1, 2
Let a(s) be the second derivative of -s**5/110 - 17*s**4/66 - 9*s**3/11 + 45*s**2/11 - 357*s + 1. Factor a(r).
-2*(r - 1)*(r + 3)*(r + 15)/11
Let t(b) be the third derivative of b**6/60 + b**5/30 + b**4/12 - 14*b**2. Let i(o) = 2*o**3 + 2*o**2 + 3*o. Let q(w) = -4*i(w) + 6*t(w). Factor q(v).
4*v**2*(v + 1)
Let -77/3*n**4 + 778/9*n**3 - 908/9*n**2 - 4/9*n**5 - 61/9 + 142/3*n = 0. Calculate n.
-61, 1/4, 1
Suppose -8*q + 23 = -1. Find k such that 6*k**5 - 60*k + 80*k**2 + k**5 - 3 - 40*k**3 + 19 - q*k**5 = 0.
-4, 1
Let p(x) be the first derivative of -x**4/24 + 5*x**3/18 - 2*x**2/3 + 2*x/3 - 158. Factor p(a).
-(a - 2)**2*(a - 1)/6
Let u(s) be the first derivative of 2*s**3/15 - 124*s**2/5 + 7688*s/5 + 15. Find r such that u(r) = 0.
62
Let w(c) be the first derivative of c**6/45 - c**4/9 + c**2/3 - 5*c + 2. Let k(n) be the first derivative of w(n). Factor k(y).
2*(y - 1)**2*(y + 1)**2/3
Let 6/19*p**2 - 2/19*p**5 - 2/19*p**3 + 0 - 6/19*p**4 + 4/19*p = 0. What is p?
-2, -1, 0, 1
Suppose 0 = -5*d + 23 - 3. Let t(o) = -3*o**2 - 39*o + 18. Let g(j) = 2*j**2 + 19*j - 9. Let q(b) = d*t(b) + 9*g(b). Factor q(a).
3*(a + 3)*(2*a - 1)
Let z(a) be the second derivative of -1/3*a**3 + 0 + 0*a**2 - 1/15*a**6 + 7*a + 1/10*a**5 + 1/6*a**4. What is b in z(b) = 0?
-1, 0, 1
Solve -8*n**4 + 0*n**5 - 2*n**5 - 6238 + 20*n**2 + 6226 + 2*n = 0 for n.
-3, -2, -1, 1
Let n(o) be the first derivative of 2*o**5/5 + 11*o**4/2 + 24*o**3 + 16*o**2 - 128*o + 14. Factor n(l).
2*(l - 1)*(l + 4)**3
Find b such that 2/9*b**3 + 0*b**2 - 2/3*b + 4/9 = 0.
-2, 1
Let f be (3/(-2))/(243/(-13 - -4)). Let c(r) be the first derivative of 4 + 1/9*r**3 + 0*r + 0*r**2 - 1/12*r**4 - 1/15*r**5 + f*r**6. Factor c(b).
b**2*(b - 1)**2*(b + 1)/3
Let u be (-204)/(-252) + 1/(-7). Factor -2/3*j**2 + 0 + 2/9*j - 2/9*j**4 + u*j**3.
-2*j*(j - 1)**3/9
Factor 3/4*n - 14 + 1/8*n**2.
(n - 8)*(n + 14)/8
Factor 0*u + 2/15*u**3 - 16/15*u**2 + 0.
2*u**2*(u - 8)/15
Let b(s) = s**3 - 2*s - 1. Let j(k) = 2*k**4 - 6*k**3 + 4*k**2 + 24*k + 12. Let r(m) = -12*b(m) - j(m). Let r(a) = 0. What is a?
-2, -1, 0
Let k(y) = -y**3 + 4*y**2 - y - 3. Let m be k(3). Suppose b - 4*a + 4 = 0, -3*b = 2*b - m*a + 3. Let b + 1/3*g**2 + 2/3*g = 0. What is g?
-2, 0
Let r(l) = l**2 - l - 1. Let i(t) = -t + 3. Let z be i(1). Let x(f) = 6*f - 66*f**z - 27*f**3 + 24 - 2*f - f. Let y(w) = 18*r(w) + x(w). Factor y(m).
-3*(m + 1)**2*(9*m - 2)
Let f(x) be the second derivative of x**6/10 + 39*x**5/20 + 63*x**4/4 + 135*x**3/2 + 162*x**2 - 4*x + 9. Factor f(v).
3*(v + 3)**3*(v + 4)
Let g(t) be the second derivative of -t**7/21 - 2*t**6/15 - t**5/10 + 9*t. Suppose g(b) = 0. Calculate b.
-1, 0
Let d(p) be the third derivative of -p**6/1440 - p**5/480 - 10*p**3/3 - 3*p**2. Let r(n) be the first derivative of d(n). Solve r(c) = 0.
-1, 0
Suppose 0 = 4*v + 2*v - 0*v. Suppose v = -11*o + 21*o. Factor o*y + 0 + 3/2*y**3 + 3/4*y**2 + 3/4*y**4.
3*y**2*(y + 1)**2/4
Let s be (128/(-24) + 6)/(5 + -2). Let l(m) be the first derivative of s*m**2 + 0*m - 5/18*m**4 - 2/9*m**3 + 5. What is f in l(f) = 0?
-1, 0, 2/5
Let k(p) be the third derivative of -1/15*p**5 + 0*p + 1/12*p**3 - 18*p**2 + 0 + 7/48*p**4. Factor k(m).
-(m - 1)*(8*m + 1)/2
Let u(g) be the third derivative of -g**8/840 - g**7/35 + 11*g**6/100 - 17*g**5/150 + 11*g**2 - 2*g. Let u(o) = 0. Calculate o.
-17, 0, 1
Let -11*q**2 + 19*q**2 - 85*q - 3*q**2 = 0. What is q?
0, 17
Factor 12/11 + 38/11*w - 14/11*w**2.
-2*(w - 3)*(7*w + 2)/11
Suppose -t = g - 25, 0 = 4*g - 8*g - 5*t + 101. Let q = g + -21. Suppose -2*v**q + v**5 - 4*v + 0*v**3 + 5*v = 0. What is v?
-1, 0, 1
Let k(q) = -9*q**3 - 36*q**2 - 6*q - 12. Let m(r) = -17*r**3 - 71*r**2 - 11*r - 22. Let h(i) = -11*k(i) + 6*m(i). Find z such that h(z) = 0.
-10, 0
Let g = 28 + -25. Suppose 0*f + 2*f - 3 = -o, 15 = -g*o. Factor 4*p**f - 15*p**3 + 0*p**4 + 7*p**3 - 8*p**3 + 4 + 24*p**2 - 16*p.
4*(p - 1)**4
Suppose -2*t - 2*t + 4 = 0. Let u = -6 + t. Let k(n) = 9*n**3 - 11*n + 5. Let o(i) = 28*i**3 - 32*i + 16. Let w(f) = u*o(f) + 16*k(f). Factor w(v).
4*v*(v - 2)*(v + 2)
Let l = 14664/25613 + -4/3659. Factor -l*o**2 + 0 - 2/7*o**3 - 2/7*o.
-2*o*(o + 1)**2/7
Determine v so that -2/3 - 2/9*v**2 + 8/9*v = 0.
1, 3
Factor -28*x**2 - 2046*x**3 - 32 + 4093*x**3 - 56*x - 2051*x**3.
-4*(x + 1)*(x + 2)*(x + 4)
What is d in 3/4*d - 9 + 3/4*d**2 = 0?
-4, 3
Let m(g) be the second derivative of -g**7/21 - g**6/35 + 5*g**5/14 + 23*g**4/42 - 2*g**3/7 - 8*g**2/7 + 183*g. Solve m(o) = 0.
-1, 4/7, 2
Let c be (-60)/(-209) - (-92)/(-874). Solve 6/11*g + c*g**3 + 2/11 + 6/11*g**2 = 0 for g.
-1
Let h = 143 + -293. Let m be ((-1)/3)/(5/h).