.
-2, 1
Let f = -18 - -18. Let i = -3 - -5. Solve -2/5*b**3 - 2/5*b**i + 2/5*b**4 + 2/5*b + f = 0.
-1, 0, 1
Let q(o) be the second derivative of -o**6/15 - 11*o**5/10 - 35*o**4/6 - 25*o**3/3 + 7*o - 2. Determine z so that q(z) = 0.
-5, -1, 0
Let x(s) = s**2 + 5*s + 2. Let g be x(-5). Suppose d**g - 3*d**3 - d**2 + 3*d**5 + 3*d**2 - 3*d**4 = 0. What is d?
-1, 0, 1
Let x be (-93)/(-9) + (-1)/3. Suppose 4*o + 2 - x = 0. What is m in -1/3*m**o + 0 + 0*m**3 + 0*m + 1/3*m**4 = 0?
-1, 0, 1
Factor -1/3*i**2 + 0*i + 1/3.
-(i - 1)*(i + 1)/3
Suppose -4*s = -6*s + 4. Suppose 5*b - s*r + 1 = 11, -4*r - 20 = 5*b. Factor 0 - 1/2*d**2 + 3/2*d**3 + 1/2*d**5 + b*d - 3/2*d**4.
d**2*(d - 1)**3/2
Let y be 12/(-16)*4/1. Let p be (-24)/(-10) + y + 1. Suppose 2/5*i**3 - p*i**5 + 0*i + 0 - 2/5*i**4 + 2/5*i**2 = 0. What is i?
-1, 0, 1
Let d(q) be the third derivative of -1/108*q**4 + 1/27*q**3 + 0 + 0*q + 1/540*q**6 + q**2 - 1/270*q**5. Factor d(u).
2*(u - 1)**2*(u + 1)/9
Let r = 348/7 + -340/7. Factor -2/7 - 2/7*n**4 + r*n - 12/7*n**2 + 8/7*n**3.
-2*(n - 1)**4/7
Factor -b + 0 + 9/2*b**2.
b*(9*b - 2)/2
Let m(g) be the first derivative of 0*g - 2 - 2/33*g**3 + 2/11*g**2. Factor m(z).
-2*z*(z - 2)/11
Let j(i) = 3*i**4 - 6*i**3 + 33*i**2 - 21*i. Let c(o) = -o**3 - o**2 + o. Let p(l) = 9*c(l) + j(l). Factor p(n).
3*n*(n - 2)**2*(n - 1)
Let u = 2 - 0. Let 3*a - 2*a**2 - u + a**3 + 4 + 5*a**2 - 1 = 0. What is a?
-1
Let h(j) be the first derivative of j**4/3 - 5*j**3/9 + j**2/6 - 7. Factor h(s).
s*(s - 1)*(4*s - 1)/3
Factor -15*m + 5*m**2 + m**2 + 9 + 3*m**3 - 3*m**2.
3*(m - 1)**2*(m + 3)
Let u(n) be the third derivative of 0*n - 1/6*n**3 - 6*n**2 - 1/12*n**4 - 1/60*n**5 + 0. Let u(x) = 0. Calculate x.
-1
Determine g so that g**5 + 5*g**3 - 8*g**2 - 6*g + 0*g**5 + 8*g**4 - g**3 + g**5 = 0.
-3, -1, 0, 1
Suppose 2*k = 3*k + k. Let x(a) be the second derivative of -3*a - 1/60*a**6 + 0*a**2 + 1/8*a**4 + 0 + k*a**5 + 1/6*a**3. Let x(h) = 0. What is h?
-1, 0, 2
Let d(y) be the second derivative of -y**6/135 + y**4/54 - 7*y. Factor d(o).
-2*o**2*(o - 1)*(o + 1)/9
Let k = -24434/135 + 181. Let n(s) be the third derivative of -17/270*s**5 + 0*s + 5/27*s**4 + 0 + k*s**6 - 2*s**2 - 4/27*s**3. Factor n(u).
2*(u - 2)**2*(4*u - 1)/9
Let x be 28/(-12) + 2/4*6. Suppose -9 = -4*y + y. Factor -x*v**5 - 8/3*v**2 + 0 - 4*v**y - 8/3*v**4 - 2/3*v.
-2*v*(v + 1)**4/3
Let w(x) = 22*x**5 + 33*x**4 - 33*x**3 + 11*x**2 - 3*x. Let k(h) = -43*h**5 - 67*h**4 + 65*h**3 - 23*h**2 + 7*h. Let j(n) = -3*k(n) - 7*w(n). Factor j(z).
-z**2*(z + 2)*(5*z - 2)**2
Suppose 5*a + 0 = 5*d - 25, -d + 4*a = -11. Suppose 0*k = d*k. Factor 2/9*p**2 + 0 + k*p + 2/9*p**5 + 2/3*p**3 + 2/3*p**4.
2*p**2*(p + 1)**3/9
Suppose -3*h + 44 = -5*b, 2*b = -0*h + 3*h - 32. Let v be -1*2*(-2)/h. Solve 5/2*u**4 - 1/2*u**5 + v - 5*u**3 + 5*u**2 - 5/2*u = 0 for u.
1
Let v(s) be the third derivative of 0 - 3*s**2 - 1/90*s**5 + 0*s + 0*s**4 - 1/504*s**8 + 1/315*s**7 + 0*s**3 + 1/180*s**6. Find n, given that v(n) = 0.
-1, 0, 1
Let w(p) = 1 + 2*p**2 - 1 - p**2 + p**3. Let y(b) = b**4 - 3*b**3 - 7*b**2 - 5*b - 2. Let k(c) = 4*w(c) + y(c). Factor k(z).
(z - 2)*(z + 1)**3
Let x(v) be the third derivative of -v**7/1260 - v**6/180 + v**4/12 + 2*v**2. Let c(y) be the second derivative of x(y). Factor c(s).
-2*s*(s + 2)
Suppose -7*f + 2*f = 0. Find q such that f*q - 4*q + 3 - 2*q + 3*q**2 + 0*q**2 = 0.
1
Suppose -8 = -6*p + 2*p. Let c(w) = 42*w**3 - 16*w**2 - 6*w + 2. Let i(v) = -210*v**3 + 80*v**2 + 29*v - 11. Let j(a) = p*i(a) + 11*c(a). Factor j(l).
2*l*(3*l - 2)*(7*l + 2)
Let n(t) = t**2 + 3*t - 2. Let c be n(-4). Suppose -2 + 5*p**2 - 7*p**2 + 3*p**c - p = 0. Calculate p.
-1, 2
Let a(v) be the second derivative of 1/6*v**4 + v + 0*v**3 + 1/5*v**5 + 1/15*v**6 + 0*v**2 + 0. Factor a(b).
2*b**2*(b + 1)**2
Let j = -299 + 1197/4. Factor -1/2*z - j - 1/4*z**2.
-(z + 1)**2/4
Let x(s) = 6*s**5 - 2*s**4 + 2*s**3 + 2*s**2 + 4. Let t(a) = a**5 + 2*a**3 - a**3 - 4 + 5. Let z(v) = -4*t(v) + x(v). Determine f so that z(f) = 0.
-1, 0, 1
Determine l so that -1/5*l**3 + 1/5*l**2 + 1/5*l**5 + 0*l - 1/5*l**4 + 0 = 0.
-1, 0, 1
Solve 6/7*j - 2/7*j**2 - 4/7 = 0 for j.
1, 2
Let s(h) be the third derivative of h**7/1260 + 7*h**6/720 + h**5/20 + 5*h**4/36 + 2*h**3/9 - 12*h**2. Solve s(f) = 0 for f.
-2, -1
Let i(j) = -4*j**3 + 25*j**2 + j + 17. Suppose -5*p - 3*o = -2 + 23, o + 27 = -5*p. Let h(r) = -r**3 + 6*r**2 + 4. Let z(c) = p*i(c) + 26*h(c). Factor z(d).
-2*(d - 1)**3
Let t(b) be the first derivative of -b**4/3 - 4*b**3/9 + 2*b**2/3 + 4*b/3 - 21. Factor t(f).
-4*(f - 1)*(f + 1)**2/3
Let m be (12/50)/(4/40*3). Factor -m - 81/5*d**2 + 36/5*d.
-(9*d - 2)**2/5
Let s be -1 - 3*(-8)/6. Let w(q) be the first derivative of -q**2 + 2 - 2*q - 1/6*q**s. Determine c so that w(c) = 0.
-2
Let k(n) = 3*n**3 + 23*n**2 + 46*n + 34. Let c(x) = -48*x**3 - 369*x**2 - 735*x - 543. Let g(j) = 2*c(j) + 33*k(j). Factor g(a).
3*(a + 2)**2*(a + 3)
Suppose 4*u = 5*l, -l + 2*u - 21 = -3*u. Let h(z) be the first derivative of -1 + 1/4*z**3 - 3/4*z**2 + 3/16*z**l + 0*z. Factor h(t).
3*t*(t - 1)*(t + 2)/4
Let d(a) be the third derivative of -4*a**2 - 1/2*a**3 + 0*a**4 + 0 + 0*a + 1/20*a**5. Determine g so that d(g) = 0.
-1, 1
Let n(o) be the third derivative of -o**6/1140 + o**5/190 - o**4/114 + 18*o**2. Find j such that n(j) = 0.
0, 1, 2
Let i(g) = -5*g**3 - g**2. Let r(y) = y**2. Let h(a) = -i(a) + 4*r(a). Factor h(x).
5*x**2*(x + 1)
Let c(i) be the third derivative of i**8/168 + 2*i**7/105 - i**6/30 - 2*i**5/15 + i**4/12 + 2*i**3/3 + 6*i**2. Solve c(d) = 0.
-2, -1, 1
Suppose -33 = -5*b + 12. Suppose b = 2*s + 3. Solve -1/4*z + 0 - 27/2*z**4 - 27/4*z**5 - 5/2*z**2 - 9*z**s = 0 for z.
-1, -1/3, 0
Factor -1/8*b**2 - 5/4*b - 25/8.
-(b + 5)**2/8
Let b = 5407/10 - 540. Let o = 6/5 - b. Find z such that 0*z**2 + 0*z - 1/2*z**3 - o*z**4 + 0 = 0.
-1, 0
Let r(n) be the third derivative of -n**8/112 + n**6/20 - n**4/8 + 4*n**2. Factor r(p).
-3*p*(p - 1)**2*(p + 1)**2
Factor 2 - 5 - 1 - 2*b**2 - 6*b.
-2*(b + 1)*(b + 2)
Let a(y) be the third derivative of 0*y**5 + 0*y - 2/105*y**7 + 0*y**3 + 0*y**4 + 0 + 1/30*y**6 + 3*y**2. Factor a(b).
-4*b**3*(b - 1)
Let p(f) = f**3 - 3*f**2 + 4*f - 2. Suppose -2*w = -c - 5, 3*w - 2*c - 1 - 7 = 0. Let u be p(w). What is s in 4*s - 2 + 3*s**2 - u - 4*s**2 = 0?
2
Let q be -3*(-1)/(-4)*-4. Let v be -1 + 1 - (0 - 0). Let 2*o + v*o - q*o + o**3 = 0. What is o?
-1, 0, 1
Let g(i) be the third derivative of 4*i**2 + 0*i**3 + 1/15*i**5 + 0*i + 0*i**4 + 1/84*i**8 - 2/105*i**7 + 0 - 1/30*i**6. Determine j so that g(j) = 0.
-1, 0, 1
Let r = 1866901/420 - 4445. Let h(d) be the third derivative of -1/210*d**5 + 0 + 1/84*d**4 + 0*d + 1/21*d**3 + 2*d**2 - r*d**6. Let h(u) = 0. What is u?
-1, 1
Let d(l) be the third derivative of -1/480*l**6 + 0*l + 1/32*l**4 + 0*l**5 - 6*l**2 - 1/12*l**3 + 0. Solve d(m) = 0.
-2, 1
Let u(a) be the third derivative of 1/18*a**3 + 0*a + 1/36*a**4 - 1/630*a**7 - 1/180*a**6 - 4*a**2 + 0 + 0*a**5. Factor u(d).
-(d - 1)*(d + 1)**3/3
Let q(y) = -5*y - 2. Let l be q(-2). Let k be 6/14*l/12. Factor 0*x + 2/7*x**2 - k.
2*(x - 1)*(x + 1)/7
Suppose -3*b + 15 = 4*l - 6*b, -4*b = -5*l + 19. Suppose -l*u = u - 20. Find y, given that -4*y + 19 - 19 + u*y**2 + 17*y**2 = 0.
0, 2/11
Suppose 2*r + h - 11 = 0, 0*r = 3*r - 2*h + 1. Let b = 2 - 0. Find i such that 0 + 0*i - 4/5*i**b - 32/5*i**4 - 22/5*i**r - 14/5*i**5 = 0.
-1, -2/7, 0
Suppose s - 42 - 35*s + 117 + 4*s + 3*s**2 = 0. Calculate s.
5
Suppose -2 - 10 = -4*j. Determine c so that c**j - 3*c - 3*c + 4*c + c**2 = 0.
-2, 0, 1
Factor 15 + 3*n**2 - 6 - 2*n**2 - 4*n - 6.
(n - 3)*(n - 1)
Let o(r) be the second derivative of -r**6/315 + r**5/210 + r**4/42 - 5*r**3/63 + 2*r**2/21 + r. Determine g so that o(g) = 0.
-2, 1
Let m(a) be the first derivative of -1/9*a**3 + 3 + 1/12*a**4 + 0*a + 0*a**2. Find n such that m(n) = 0.
0, 1
Let u = -88 + 88. Factor -1/5*d**2 + 2/5*d**3 - 1/5*d + u.
d*(d - 1)*(2*d + 1)/5
Suppose 10 = 5*f - 5. Suppose -f*t = -t. Find l, given that -1/2*l - 1/2*l**4 + t + 1/2*l**2 + 1/2*l**3 = 0.
-1, 0, 1
Let z(s) be the first derivative of 0*s + 1/3*s**3 - 3/2*s**2 - 1. Let z(a) = 0. What is a?
0, 3
Let a(w) be the second derivative of -w**6/30 + w**5/20 + 5*w**4/12 + w**3/2 - 17*w. Factor a(h).
-h*(h - 