r**2 + 2/5*r**x.
2*r**2*(r + 1)/5
Factor 14*l**3 - 24*l**3 + 2*l**3 - 2*l**4 + 10*l**2.
-2*l**2*(l - 1)*(l + 5)
Factor -22/7*h**3 + 6/7*h**4 + 4/7 - 18/7*h + 30/7*h**2.
2*(h - 1)**3*(3*h - 2)/7
Let g = -361/11 - -33. Factor 2/11 - 4/11*m + g*m**2.
2*(m - 1)**2/11
Determine c so that -2/7*c - 2/7*c**5 + 8/7*c**4 - 12/7*c**3 + 8/7*c**2 + 0 = 0.
0, 1
Factor 0 - 1/2*w + 3/4*w**2 - 1/4*w**3.
-w*(w - 2)*(w - 1)/4
Let g be 34/10 - 6/10. Factor g*z + 4/5*z**2 - 14/5*z**3 - 4/5.
-2*(z - 1)*(z + 1)*(7*z - 2)/5
Let w(f) be the third derivative of f**5/12 - 25*f**4/24 - 5*f**3 + 9*f**2 - 1. Factor w(q).
5*(q - 6)*(q + 1)
Let k be 7 + 2 - (5 - 1). Let u(h) be the first derivative of -4/3*h**3 + 0*h**4 + 0*h**2 + 2/5*h**k + 2*h - 1. Suppose u(x) = 0. Calculate x.
-1, 1
Suppose -8*r + 2 = -7*r. Let o be (-4)/(-2) - (-20)/(-12). What is q in -5/3*q**r - 8/3*q - 4/3 - o*q**3 = 0?
-2, -1
Suppose 3 = -4*f + 11. Determine o, given that 2*o**4 + o - 5*o - 1 + 1 - f*o**2 + 4*o**3 = 0.
-2, -1, 0, 1
Let z(g) = 2*g**2 - 6. Let d(o) = o**2 + o - 5. Let l(r) = 4*d(r) - 3*z(r). Factor l(c).
-2*(c - 1)**2
Let c(l) be the third derivative of 1/735*l**7 + 2/105*l**5 + 0*l**3 + 0 + 0*l - 4*l**2 - 1/105*l**6 + 0*l**4. Solve c(u) = 0 for u.
0, 2
Suppose 5*f - 3*t = 16, 5*t - 15 = f - 5. Suppose 10 = 3*n + 2*l, -2*n = -f*l + 3 + 3. What is g in 0*g - 2/3*g**n + 2/3*g**4 + 0*g**3 + 0 = 0?
-1, 0, 1
Solve -3/4*p**2 + 3/4*p**4 + 0*p + 9/8*p**5 - 9/8*p**3 + 0 = 0 for p.
-1, -2/3, 0, 1
Suppose -2*h + 4*q + 7 = -3, q - 14 = -5*h. Factor -8*w - 2*w**2 + h*w**2 - 5*w**2.
-4*w*(w + 2)
Let p(m) = -3*m - 5. Let z be (7 - 4)*(1 + -2). Let f be p(z). Factor 1/2 - 3/4*s**2 + 7/4*s**3 - 3/4*s**f - 3/4*s.
-(s - 1)**3*(3*s + 2)/4
Let s(o) = 2*o + 8. Let l(t) = t**2 + t + 9. Let d(x) = 4*l(x) - 6*s(x). Solve d(i) = 0.
-1, 3
Let j(u) be the first derivative of u**6/3 - 2*u**5/5 - 5*u**4/2 + 2*u**3/3 + 8*u**2 + 8*u + 1. Factor j(a).
2*(a - 2)**2*(a + 1)**3
Factor 4*w**3 + 32*w + 0*w**3 + 20*w**2 + 10 + 6.
4*(w + 1)*(w + 2)**2
Factor -16*k - 44*k - 6 - 1 - 45*k**2 - 13.
-5*(3*k + 2)**2
Let x be (278/(-10))/((-5)/40). Let b = -220 + x. Solve 2/5*f**4 + 6/5*f**5 + 6/5*f - 4/5*f**2 - b*f**3 + 2/5 = 0.
-1, -1/3, 1
Factor -4*v**2 - 86 + 41 + 40*v + 45.
-4*v*(v - 10)
Let q(w) be the first derivative of 4/25*w**5 + 2 - 13/20*w**4 + 1/5*w - 7/10*w**2 + w**3. Factor q(h).
(h - 1)**3*(4*h - 1)/5
Let n(f) be the third derivative of -f**7/210 - f**6/40 - f**5/30 + 16*f**2. Factor n(h).
-h**2*(h + 1)*(h + 2)
Let q(c) be the first derivative of 2/13*c + 2/65*c**5 - 5 + 1/13*c**4 - 1/39*c**6 - 4/39*c**3 - 1/13*c**2. Factor q(i).
-2*(i - 1)**3*(i + 1)**2/13
Let k(c) be the second derivative of -c**7/105 + c**6/75 + c**5/10 + c**4/10 + 21*c. Solve k(r) = 0 for r.
-1, 0, 3
Let g(x) be the second derivative of -x**5/170 + x**4/51 - x**3/51 - 4*x. Let g(o) = 0. What is o?
0, 1
Let j(x) be the first derivative of -21*x**6/2 - 102*x**5/5 - 3*x**4/4 + 16*x**3 + 6*x**2 + 3. Find o such that j(o) = 0.
-1, -2/7, 0, 2/3
Let h(k) be the first derivative of 3*k**3 + 0*k**2 - 12*k - 3/4*k**4 - 5. Determine b so that h(b) = 0.
-1, 2
Let i(s) be the second derivative of s**7/10 + 11*s**6/75 - 11*s**5/50 - 2*s**4/5 + s**3/30 + s**2/5 - 2*s. Find b, given that i(b) = 0.
-1, -1/3, 2/7, 1
Suppose -5*u + 23 = a, -4*a + 0*a - 4*u + 28 = 0. Suppose 2*b + 3*b - 10 = 0. Factor -4*f**3 - 3*f**2 + f + a*f**3 + 4*f**b - 1.
-(f - 1)**2*(f + 1)
Let u(t) be the third derivative of 0 - 1/96*t**4 + 0*t**3 + 0*t - 1/240*t**5 + 3*t**2. Let u(n) = 0. What is n?
-1, 0
Let j(v) be the first derivative of -2*v**6/3 - 12*v**5/5 + 2*v**4 + 16*v**3 + 16*v**2 - 36. Suppose j(u) = 0. Calculate u.
-2, -1, 0, 2
Let q(x) = x + 8. Let b be q(6). Let z be (16/b)/(14/7). Factor z*u + 2/7*u**2 + 0.
2*u*(u + 2)/7
Factor -2/5*b**4 - 8/5*b**3 - 2*b**2 - 4/5*b + 0.
-2*b*(b + 1)**2*(b + 2)/5
Let x(u) = 3*u + 9. Let o(q) = -4*q - 10. Let g(p) = 2*o(p) + 3*x(p). Let s be g(-5). Suppose 1/3*j - 2/3 + 1/3*j**s = 0. Calculate j.
-2, 1
Suppose -2/9*v**4 + 0 + 2/3*v**3 + 0*v + 0*v**2 = 0. Calculate v.
0, 3
Let b(v) = -v**4 - v**2 + v. Let i(q) = -q**4 - 3*q**3 - 2*q**2 + 6*q. Let m(x) = 2*b(x) - i(x). Factor m(d).
-d*(d - 2)**2*(d + 1)
Let y be (22 - 13)*(-2)/(-117). Let z = 4240/13 - 326. Let -2/13*o**5 - 2/13 + 4/13*o**3 + 4/13*o**2 - y*o**4 - z*o = 0. What is o?
-1, 1
Let s(k) = -k**3 + k**2 - 1. Let w be (-4)/8*(-1 + 5). Let i = w + 3. Let q(g) = -16*g**3 - 50*g**2 - 26*g - 2. Let c(d) = i*q(d) + 2*s(d). Factor c(f).
-2*(f + 2)*(3*f + 1)**2
Let q be 11/2*(-138)/(-276). Find t, given that 0*t - q*t**2 + 7/4*t**4 + 1 - 3/4*t**5 + 3/4*t**3 = 0.
-1, -2/3, 1, 2
Let z(r) be the first derivative of r**4 - 4*r**3/3 + 10. Let z(i) = 0. Calculate i.
0, 1
Factor -4*l**3 + 72 - 18*l**3 - 10*l**3 - 120*l + 2*l**4 + 74*l**2 + 12*l**3.
2*(l - 3)**2*(l - 2)**2
Let i(w) be the second derivative of w**4/28 - w**3/7 - 9*w**2/14 + 16*w. Factor i(g).
3*(g - 3)*(g + 1)/7
Factor 48/5*u**3 + 0 + 64/5*u**2 + 1/5*u**5 + 0*u + 12/5*u**4.
u**2*(u + 4)**3/5
Let j(b) = -2*b**2 + 4*b**2 - 3 - 4*b - b**2. Let k be j(5). Factor 0*l + 2/3*l**4 + 4/3*l**3 + 0 + 2/3*l**k.
2*l**2*(l + 1)**2/3
Let h(w) be the third derivative of -w**6/900 - w**5/225 + w**4/180 + 2*w**3/45 + 25*w**2. Determine v, given that h(v) = 0.
-2, -1, 1
Let k(u) = -11*u**2 - u + 5. Let l(b) = -17*b**2 - b + 8. Let g(j) = -8*k(j) + 5*l(j). Factor g(o).
3*o*(o + 1)
Let r = -47 + 49. Suppose -2*w + 9 + 7 = 4*c, -w + c = 1. Factor 3*f - 4*f**2 - 2*f**w - f + 4*f**r.
-2*f*(f - 1)
Let p(l) be the third derivative of -l**7/630 + l**6/108 - l**5/90 - 5*l**3/6 + 4*l**2. Let m(r) be the first derivative of p(r). Solve m(x) = 0.
0, 1/2, 2
Let z(w) be the third derivative of w**7/420 + w**6/120 + w**5/120 + 11*w**2. Let z(s) = 0. What is s?
-1, 0
Let f(z) be the third derivative of -z**5/150 - z**4/60 + 2*z**3/15 + 5*z**2. Solve f(x) = 0.
-2, 1
Suppose 4*k - 12 + 4 = -4*d, 5*d - 14 = -3*k. Factor 2*j**5 + 6*j**4 - 2*j**3 + j**2 + 4*j**d - 15*j**4 + 4*j**4.
j**2*(j - 1)*(j + 1)*(2*j - 1)
Let p be 1/((-52)/(-8) - 3). Factor -2/7 + 2/7*r + p*r**2 - 2/7*r**3.
-2*(r - 1)**2*(r + 1)/7
Let u(g) = g**2 + g - 4. Let o be u(-3). Determine t so that o*t**2 + 0*t - 2 - 7*t + 7*t**2 = 0.
-2/9, 1
Find l such that -49/3*l**4 - 4 - 13*l**2 - 56*l**3 + 68/3*l = 0.
-3, -1, 2/7
Let s(a) be the first derivative of -4*a**3/15 - 2*a**2/5 - 6. Factor s(f).
-4*f*(f + 1)/5
Let h = -1308 - -14400/11. What is r in -h*r**2 + 8/11*r + 8/11*r**3 - 2/11*r**4 - 2/11 = 0?
1
Let a(j) = 2*j**2 - 4*j - 3. Let i be a(-2). Let l = i + -9. Suppose 0*n - 2/3*n**l + 0 + 4/3*n**3 - 2/3*n**2 = 0. What is n?
0, 1
Factor 1/4*r + 5/4*r**2 + r**3 + 0.
r*(r + 1)*(4*r + 1)/4
Let u = -453 - -456. Solve -4/15*n - 2/15*n**4 + 0 + 2/5*n**2 + 0*n**u = 0.
-2, 0, 1
What is i in -13/4*i**3 - 3/2*i**4 + 1/4 + 1/4*i - 7/4*i**2 = 0?
-1, -1/2, 1/3
Suppose 2*w - 2*t = 6, -2*t = 2*w - 0*w + 6. Factor w*g - 2/9*g**3 - 2/9*g**5 + 0*g**2 - 4/9*g**4 + 0.
-2*g**3*(g + 1)**2/9
Let d be -5*(5 + -2) - 1. Let y be 76/d + 2 - -3. Determine l so that 0*l + 4*l**2 - y = 0.
-1/4, 1/4
Let q(o) = -3*o**3 + 3*o**2 - o - 2. Let y be q(-1). Factor 0*j**2 - 3/4*j**4 - 3/2*j**3 + 0 + 3/4*j**y + 0*j.
3*j**3*(j - 2)*(j + 1)/4
Let o = 40 + -37. Let j(c) be the third derivative of 1/2*c**o + 0 + 0*c - 1/20*c**5 + 1/8*c**4 - 2*c**2 - 1/40*c**6. Determine i, given that j(i) = 0.
-1, 1
Let x(a) be the second derivative of -2*a**6/105 + 8*a**5/35 - 22*a**4/21 + 16*a**3/7 - 18*a**2/7 + 19*a. Factor x(n).
-4*(n - 3)**2*(n - 1)**2/7
Let p(d) = -d**3 + 2*d**2 + d - 1. Let o(b) = 0*b**2 - 7*b**2 + 6*b**2. Let r(m) = -o(m) - p(m). Factor r(q).
(q - 1)**2*(q + 1)
Let q(m) = m**3 + 7*m**2 - m. Let b be q(-7). Factor -15*r**2 + 4*r**5 + b*r**2 + 34*r**3 - 46*r**3.
4*r**2*(r - 2)*(r + 1)**2
Let l be (-1*(-3 - -3))/(1/(-1)). Let x(c) be the first derivative of -2/35*c**5 + 1 + 1/7*c**4 + 0*c + l*c**2 + 0*c**3. Suppose x(r) = 0. Calculate r.
0, 2
Let m(r) = -24*r**2 + 19*r - 11. Let i(c) = -12*c**2 + 10*c - 5. Let s(t) = -5*i(t) + 2*m(t). Factor s(j).
3*(2*j - 1)**2
Suppose 10 = n - 2*w, -5*n - 10 + 74 = 4*w. Suppose -4*m + n = -m. Solve 2*y**4 + 5*y**2 + 1 + y**2 - 4*y**3 - m*y - y**4 = 0 for y.
1
Suppose 0*j - 32 = -4*j. Factor -j*h**2 - 6*h**