.
-1, 2
Let r(f) be the first derivative of -8/33*f**3 - 1/22*f**4 - 3 + 0*f - 4/11*f**2. Factor r(p).
-2*p*(p + 2)**2/11
Let g = -4/33 - -41/66. Factor 0 + 1/2*u + g*u**2.
u*(u + 1)/2
Let p(d) be the first derivative of -d**3/15 - 22. Find m, given that p(m) = 0.
0
Let o(z) be the first derivative of -1/13*z**2 + 3 + 0*z + 0*z**3 + 1/26*z**4. Determine i so that o(i) = 0.
-1, 0, 1
Let l(u) be the second derivative of 0*u**2 + 2/105*u**6 + 0 + 1/21*u**3 - 1/21*u**4 - u + 0*u**5 - 1/147*u**7. Solve l(o) = 0.
-1, 0, 1
Let b(c) be the third derivative of c**5/30 - 4*c**3/3 - 22*c**2. Factor b(f).
2*(f - 2)*(f + 2)
Let n(b) be the third derivative of -b**8/1176 + b**7/735 + b**6/210 - b**5/105 - b**4/84 + b**3/21 + 10*b**2. Let n(r) = 0. Calculate r.
-1, 1
Let k(m) = m - 2. Let x be k(4). Let b be (36/20)/(3 - x). Factor -11/5*t**3 - 1/5 + 4/5*t**4 + b*t**2 - 1/5*t.
(t - 1)**3*(4*t + 1)/5
Suppose -209*v + 4*v**3 - 40*v**2 + 209*v = 0. What is v?
0, 10
Solve 20*h**3 - 2*h**2 - 5*h**2 - h**2 = 0 for h.
0, 2/5
Solve 3 - 4*z**4 + 8*z**2 + z + 3*z - 8 + 4*z**5 + 1 - 8*z**3 = 0.
-1, 1
Let w(r) be the first derivative of r**5/20 + 3*r**4/16 + r**3/4 + r**2/8 + 1. Find z such that w(z) = 0.
-1, 0
Let x(n) be the second derivative of -3*n**5/20 - n**4/4 + n**3/2 + 3*n**2/2 - n. Solve x(t) = 0 for t.
-1, 1
Let r(o) be the first derivative of o**6/3 + 8*o**5/5 + 3*o**4 + 8*o**3/3 + o**2 + 21. Factor r(q).
2*q*(q + 1)**4
Find b such that 1/2*b**2 + 0*b + 0 - 1/4*b**5 + b**4 - 5/4*b**3 = 0.
0, 1, 2
Let y(q) be the second derivative of -2*q**6/15 + q**5/5 + q**4/3 - 2*q**3/3 - 2*q. Find t, given that y(t) = 0.
-1, 0, 1
Let a(g) be the second derivative of -g**3/6 - g**2/2 + 5*g. Let s be a(-4). Factor -3/2*k - 1/2 - 3/2*k**2 - 1/2*k**s.
-(k + 1)**3/2
Let c(q) = 5*q**2 + 2*q - 1. Let b be c(1). Suppose -b*o = -o. Factor -2/7*u - 6/7*u**3 + 6/7*u**2 + 2/7*u**4 + o.
2*u*(u - 1)**3/7
Let l = 35 + -31. Let z = 5 + -2. Factor -6*u**z - 9*u**5 + 7*u**4 - 9*u**4 - 13*u**l.
-3*u**3*(u + 1)*(3*u + 2)
Let m(b) be the second derivative of -b**5/100 - b**4/30 - 10*b. Solve m(v) = 0.
-2, 0
Let h(j) = -j - 8. Let i be h(-11). Suppose 7*k = i*k. Factor -2*p**5 + 2*p**4 - 2*p**3 - 3*p**4 + k*p**3 - 3*p**4.
-2*p**3*(p + 1)**2
Suppose o = 2*j + 4, -j + 12 = -2*j + 3*o. Factor 4*w**3 - w**4 + 4*w**2 + j*w + w - 5*w - 3*w**4.
-4*w*(w - 1)**2*(w + 1)
Let -4/9*b**5 + 2/3*b**4 + 2/9 + 0*b + 4/9*b**3 - 8/9*b**2 = 0. What is b?
-1, -1/2, 1
Let p(z) = -2*z**4 - 16*z**3 - 52*z**2 - 60*z - 32. Let b(s) = 2*s**4 + 16*s**3 + 53*s**2 + 59*s + 32. Let o(a) = -4*b(a) - 5*p(a). Factor o(i).
2*(i + 2)**4
Find i, given that -6*i**2 + 6*i**4 + 2*i**5 - 21*i + 17*i + 0*i**4 + 2*i**3 = 0.
-2, -1, 0, 1
Let p(y) be the second derivative of y**4/6 - 2*y**3/3 - 13*y. Solve p(n) = 0.
0, 2
Let k(a) be the second derivative of -a**5/80 - a**4/24 + 7*a. What is l in k(l) = 0?
-2, 0
Factor 13/2*x**2 + 3/2*x**3 + 20/3*x + 2.
(x + 3)*(3*x + 2)**2/6
Let x(d) be the first derivative of 4*d**5/5 - 2*d**4 - 4*d**3 + 16*d**2 - 16*d + 1. Solve x(t) = 0.
-2, 1, 2
Let w(d) be the second derivative of -5*d**7/42 - 2*d**6/3 - 3*d**5/2 - 5*d**4/3 - 5*d**3/6 + 4*d. Factor w(r).
-5*r*(r + 1)**4
Let i(y) be the third derivative of y**5/20 + y**4/8 + 19*y**2. What is c in i(c) = 0?
-1, 0
Suppose -5*a + 5 = y, -2*y + 4*a - 4 = -0. Solve -3/2*p**2 + y - 3/2*p = 0.
-1, 0
Let c(d) be the third derivative of -d**8/560 - d**7/175 - 6*d**2. Find y such that c(y) = 0.
-2, 0
Suppose -18/7*v - 4/7 - 2*v**2 = 0. Calculate v.
-1, -2/7
Let i(q) = q**2 + 2. Let m(a) = -a - 1. Let p = 5 - 3. Suppose -6 - 7 = -p*y + 5*d, -4*y + 3*d = -5. Let o(v) = y*i(v) - 2*m(v). Factor o(s).
-s*(s - 2)
Let x = 6213/3880 - 1/776. Factor -m - 1/5 - x*m**2 - 4/5*m**3.
-(m + 1)*(2*m + 1)**2/5
Let j(l) be the second derivative of 4*l**7/21 + 3*l**6/5 + 3*l**5/5 + l**4/6 - 8*l. Find n such that j(n) = 0.
-1, -1/4, 0
Suppose 8 = 2*n - 0. Suppose -5*h + 16 = -z, -2*z - 3 = h - n. Factor 1 - 3*k**2 + 2*k**2 + k**h - k - k + k.
(k - 1)**2*(k + 1)
Let o(n) be the second derivative of 2*n**6/21 - n**5/35 + n. Factor o(y).
4*y**3*(5*y - 1)/7
Factor -8*f**2 + 0 - 2 - f - 4*f**2 + 13*f**2.
(f - 2)*(f + 1)
Let f(o) = -2*o + 28. Let v be f(13). Let x = 2 + 1. Factor 4 + d**v + 0*d + 2*d - d + x*d.
(d + 2)**2
Let y(i) be the second derivative of -i**7/63 + 2*i**6/45 - i**4/9 + i**3/9 - 5*i. Find q, given that y(q) = 0.
-1, 0, 1
Let p(c) = -c**2 + 4*c + 3. Let o be p(4). Let x(k) = 6*k + 2. Let z be x(o). Suppose -16*b + z*b - 2*b**2 - 3 + 1 = 0. Calculate b.
1
Suppose -b**3 + 4*b**3 + 2*b + 10*b + 18*b**2 + 12*b = 0. What is b?
-4, -2, 0
Let w(c) = 4 + 7*c + 3*c**2 - 19*c + 6*c**2 - c**2. Let f(k) = -k**3 - 8*k**2 + 13*k - 4. Let s(h) = -2*f(h) - 3*w(h). Factor s(l).
2*(l - 2)*(l - 1)**2
Let b(p) = 6*p**4 + 23*p**3 + 25*p**2 - 61*p + 7. Let c(m) = -3*m**4 - 11*m**3 - 13*m**2 + 31*m - 4. Let x(i) = 4*b(i) + 7*c(i). Factor x(k).
3*k*(k - 1)*(k + 3)**2
Let y(d) be the first derivative of -1 + 0*d + 7/2*d**2 + 2/5*d**5 - 5/4*d**4 + 0*d**3. Let r(a) = a**4 - 4*a**3 + 6*a. Let h(u) = 7*r(u) - 6*y(u). Factor h(i).
-i**3*(5*i - 2)
Let q = 2 + 0. Let u be (-3)/q*(-12)/9. Let 0*b**u + 2/3*b - 2/9*b**3 + 4/9 = 0. Calculate b.
-1, 2
Suppose 0 = 6*i - 43 + 19. Factor 0 - 10*h**2 + 6*h + 14/3*h**3 - 2/3*h**i.
-2*h*(h - 3)**2*(h - 1)/3
Let l(d) = -9*d + 8 - 2*d + 0*d**2 + d**2. Let u(q) = -q**2 - q + 1. Let b(x) = -l(x) + 2*u(x). Factor b(m).
-3*(m - 2)*(m - 1)
Let h(m) be the third derivative of m**7/2940 - m**6/630 + m**5/420 + m**3/6 - 3*m**2. Let p(j) be the first derivative of h(j). Factor p(d).
2*d*(d - 1)**2/7
Let r(t) = -4*t**3 + t**2 + t + 2. Let q(s) = -s**3 + 1. Let u(p) = 3*q(p) - r(p). Factor u(j).
(j - 1)**2*(j + 1)
Let d(n) be the first derivative of 3 + 1/2*n**4 + 0*n + 0*n**3 - n**2. Factor d(g).
2*g*(g - 1)*(g + 1)
Let m be 2 - -34*(-1)/(-7). Determine i, given that 2/7 + 32/7*i**3 + 18/7*i + m*i**2 = 0.
-1, -1/4
Let q(x) = 2*x**3 - 59*x**2 + 29*x + 2. Let y be q(29). Determine u so that 1/5*u**3 - 2/5 + u - 4/5*u**y = 0.
1, 2
Let s = 2/279 + 829/1116. Factor -3/2*a - s*a**3 + 0 + 9/4*a**2.
-3*a*(a - 2)*(a - 1)/4
Determine t, given that -3/4*t - 3/4*t**4 - 9/4*t**2 + 0 - 9/4*t**3 = 0.
-1, 0
Let g be (44/(-12) - -3)/(-2). Factor -2/3*a**3 - 1/3*a**4 + 2/3*a**2 + 1/3*a**5 + g*a - 1/3.
(a - 1)**3*(a + 1)**2/3
Let u(g) be the second derivative of g**5/24 + 5*g**4/24 - 5*g**3/36 - 5*g**2/4 + 4*g + 2. What is x in u(x) = 0?
-3, -1, 1
Suppose -8*x - 36*x**2 + 18*x**2 + 14*x**2 - 4 = 0. Calculate x.
-1
Let l(q) = 6*q**2 + 4. Let z(w) = -11*w**2 - 7. Suppose -2*h = -7*h + 45. Let m be (-2)/6 - (-66)/h. Let k(u) = m*l(u) + 4*z(u). Factor k(b).
-2*b**2
Let y(p) be the first derivative of p**4/2 + 2*p**3 + 3*p**2 + 2*p - 44. Factor y(z).
2*(z + 1)**3
Factor -5805*r**2 - 2*r**5 + 5805*r**2 + 4*r**4 - 2*r**3.
-2*r**3*(r - 1)**2
Let b(s) = -s**2 - s. Let o(l) be the first derivative of -10*l**3/3 - 3*l**2 + 4. Let q(a) = 8*b(a) - o(a). Solve q(d) = 0 for d.
0, 1
Let c(g) be the third derivative of g**5/12 - 5*g**4/24 + 13*g**2. Find j, given that c(j) = 0.
0, 1
Let j(r) be the first derivative of r**5/20 - 3*r**4/8 + r**3/3 + 3*r**2/4 - 5*r/4 - 7. Find i, given that j(i) = 0.
-1, 1, 5
Let s = -3 + 3. Suppose -3*x = x + 4*r - 8, 4*r = s. Factor 2*q**5 + 0*q**2 + 3*q**2 + q**x - 4*q**3 + 2*q - 2 - 2*q**4.
2*(q - 1)**3*(q + 1)**2
Let w be (6/4*4/(-9))/(-2). Factor w*q**2 - 1/3 + 0*q.
(q - 1)*(q + 1)/3
Let j = 840 + -4192/5. Solve 2/5*a**3 + 0*a**2 + 8/5*a**4 + 0 + j*a**5 + 0*a = 0.
-1/2, 0
Factor -8*o**2 - 13*o**3 + 16*o**3 - 7*o**3.
-4*o**2*(o + 2)
Suppose -8*w = -3*w - 20. Suppose 5*a + 11*a**4 + 7*a**4 - 3*a + 5*a**w + 7*a**5 + 13*a**2 + 27*a**3 = 0. What is a?
-1, -2/7, 0
Let u(f) = 2*f**3 - 51*f**2 - 26*f. Let d be u(26). Suppose 0 = -c + 3*c - 4. Suppose 0*v + 1/3*v**c - 1/3*v**4 + d*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Let b(o) be the first derivative of 8/3*o**3 - 8 + 11/3*o**4 - 1/3*o**2 + 1/3*o**6 - 4/3*o + 28/15*o**5. Find k such that b(k) = 0.
-2, -1, 1/3
Let q(l) be the second derivative of -1/16*l**4 - 4*l + 1/80*l**5 + 0 + 1/4*l**2 + 1/120*l**6 - 1/24*l**3. Solve q(v) = 0.
-2, -1, 1
Let c(q) be the third derivative of q**6/1080 + q**5/180 + q**4/108 - 12*q**2. Factor c