*3*(q - 1)*(q + 1)
Suppose 3*j + 20 = 7*j. Let i(c) = -c**2. Let r(n) = 4*n**2 - 2*n. Let b(s) = j*i(s) + r(s). Let b(t) = 0. Calculate t.
-2, 0
Suppose -2*d - 4 = -0*d. Let g(m) = -m**3 + 3*m**2 + 2*m - 2. Let u(i) = -i**2 - i + 1. Let k(v) = d*u(v) - g(v). What is c in k(c) = 0?
0, 1
Suppose -7*w + 2*w = -15. Suppose 2*x**2 + 7*x**3 + 2*x**4 - x - x**w - 5*x - 4 = 0. Calculate x.
-2, -1, 1
Let 0 - 1/4*r - 3/4*r**3 - 3/4*r**2 - 1/4*r**4 = 0. Calculate r.
-1, 0
Let h be (2/(-36)*2)/(2/(-6)). Factor 0 - 1/3*b**2 + 0*b - h*b**3.
-b**2*(b + 1)/3
Factor 1 - 10*w**3 - 8*w - w**5 - 4*w**2 + 3*w + 14*w**2 + 5*w**4.
-(w - 1)**5
Let s(r) = -51*r**2 - 16*r. Let v(z) = 128*z**2 + 40*z. Let x(m) = -12*s(m) - 5*v(m). Let o(d) = 14*d**2 + 4*d. Let l(q) = 5*o(q) + 2*x(q). Factor l(k).
2*k*(7*k + 2)
Let v(w) = -48*w**2 - 96*w - 15. Let x(l) = -3*l**2 - 6*l - 1. Let u = 24 - 26. Let o(i) = u*v(i) + 33*x(i). Solve o(d) = 0 for d.
-1
Determine b so that 1/4*b**3 + 0*b**2 + 1/2 - 3/4*b = 0.
-2, 1
Let o(t) = -5*t**4 - 45*t**3 - 45*t**2 + 5. Let g(i) = 2*i**4 + 23*i**3 + 23*i**2 - 3. Let d(n) = 5*g(n) + 3*o(n). Factor d(x).
-5*x**2*(x + 2)**2
Let q(m) = -8*m**3 + 5*m**2 - 7*m - 2. Let z(y) = 7*y**3 - 5*y**2 + 6*y + 2. Let d(x) = -5*q(x) - 6*z(x). Factor d(t).
-(t - 2)*(t - 1)*(2*t + 1)
Suppose 5*t = -5*c + 15, -3*c - 3 = -0. Suppose 0 = -0*f + 2*f - t. Solve 2/3*u - 4/3*u**f + 0 = 0.
0, 1/2
Let q(f) be the first derivative of 0*f + f**5 + 7/3*f**3 + f**2 + 4 + 1/6*f**6 + 9/4*f**4. Factor q(h).
h*(h + 1)**3*(h + 2)
Factor -1/6*g**2 + 1/2*g**3 - 4/3*g - 2/3.
(g - 2)*(g + 1)*(3*g + 2)/6
Let p be (-2)/(-3)*(4 - 1). Find j, given that -2 + 3*j**2 - 2*j**p + j + 0*j**2 = 0.
-2, 1
Let s(f) = 3*f - 21. Let v be s(7). Let o(b) be the second derivative of -b + 0*b**3 + 0 - 3/140*b**5 + v*b**4 + 0*b**2. Find q, given that o(q) = 0.
0
Let b(x) be the first derivative of -x**7/840 + x**6/180 - x**5/120 + 2*x**3 + 4. Let n(j) be the third derivative of b(j). Factor n(w).
-w*(w - 1)**2
Let y = 53 + -38. Suppose -5*q = -4*q - 4*k - y, -2*q + 12 = -2*k. Let -2/3*s**q + 0*s - 2/3*s**2 + 0 = 0. What is s?
-1, 0
Let x = 110/217 + 2/31. Let n be (-78)/(-56) - (-9)/(-36). Factor -x*a**3 - 6/7*a**2 + 2/7*a**4 + 8/7*a + n.
2*(a - 2)**2*(a + 1)**2/7
Let b(v) be the second derivative of -v**5/5 + 2*v**3/3 - 5*v. Factor b(p).
-4*p*(p - 1)*(p + 1)
Suppose -y + 0 + 8 = -4*n, -4*y + 2 = -n. Let d(v) be the second derivative of 1/27*v**3 + 0*v**2 + y - v + 1/18*v**4 - 2/45*v**5. Suppose d(b) = 0. What is b?
-1/4, 0, 1
Let h = -4 - -7. What is m in -6*m**2 - 14*m**h - 4 + 22*m**3 - 29*m + 11*m = 0?
-1, -1/4, 2
Let n = -4018/5 - -804. Factor 2/5*u + 1/5*u**2 + 0 - 1/5*u**4 - n*u**3.
-u*(u - 1)*(u + 1)*(u + 2)/5
Let r = -9 - -14. Suppose t = r*t - 204. Determine i so that 3*i**3 + 6 - 21*i**4 + 54*i**3 + 3*i + 6*i**2 - t*i**2 = 0.
-2/7, 1
Let q(h) = -2*h**3 + 3*h**2 - 11*h**2 + 7*h**3 + h + 3*h - 3*h**4. Let o(i) = i**4. Let m(x) = -2*o(x) - q(x). Factor m(k).
k*(k - 2)**2*(k - 1)
Factor 5/2*o**2 + 0*o - 5/2.
5*(o - 1)*(o + 1)/2
Let c be 12/(-420)*(-2)/(-36)*-7. Let v(h) be the third derivative of 0*h**3 + 0*h**4 + 0*h - c*h**5 - 1/315*h**7 + 1/90*h**6 - 2*h**2 + 0. Factor v(n).
-2*n**2*(n - 1)**2/3
Determine v so that 2/15*v**3 + 2/5*v + 2/15 + 2/5*v**2 = 0.
-1
Factor -34*d**2 + 3*d - d + 0 + 1 + 35*d**2.
(d + 1)**2
Let i(q) be the first derivative of -q**8/2520 + q**6/270 - q**4/36 - q**3 + 4. Let u(d) be the third derivative of i(d). Determine n so that u(n) = 0.
-1, 1
Let m(t) be the second derivative of -t**5/40 + t**3/12 + 12*t. Let m(h) = 0. Calculate h.
-1, 0, 1
Let p(r) be the first derivative of 2 + 0*r**3 - 1/5*r**5 + 1/2*r**4 + 0*r**2 + 0*r. Factor p(s).
-s**3*(s - 2)
Let g = 1197 + -3541/3. Let r = -43/3 + g. Factor -r*f**2 + 2/3 + 5/3*f.
-(f - 1)*(7*f + 2)/3
Let p(t) be the third derivative of 1/35*t**5 + 2/21*t**3 - 1/14*t**4 - 1/210*t**6 + 0 + t**2 + 0*t. Determine y, given that p(y) = 0.
1
Suppose 4 = -4*k + 2*l, -2*k + 0*k = 4*l - 8. Factor 1/2*y**2 - 1/4 + k*y**3 + 0*y - 1/4*y**4.
-(y - 1)**2*(y + 1)**2/4
Let r be 2 + 3/(-3) + 1. Let h(d) be the third derivative of -1/60*d**6 + 0*d**3 + 0 + 0*d - 1/12*d**4 - r*d**2 - 1/15*d**5. Factor h(u).
-2*u*(u + 1)**2
Let b(o) = o**3 - 11*o**2 - 12*o + 6. Let s be b(12). Factor -3*c**2 - 2 + 4*c**3 + 6*c**4 + 0*c**3 + 0*c - c**2 + 2*c**5 - s*c.
2*(c - 1)*(c + 1)**4
Let c(x) be the second derivative of -1/3*x**3 + 5*x + 2/21*x**4 + 0 - 2/7*x**2. Factor c(q).
2*(q - 2)*(4*q + 1)/7
Let n(k) be the first derivative of -4*k**5/5 - 4*k**4 - 16*k**3/3 + 7. Let n(w) = 0. What is w?
-2, 0
Let c(u) = u + 8. Let a be c(-6). Suppose 3*j = j + 6, 4*f - 2*j = a. Factor 21*s**f - 21*s**2 + 2*s**4 - 2*s**3.
2*s**3*(s - 1)
Let w(t) be the second derivative of -t**6/210 + t**5/35 - t**4/21 - 13*t. Factor w(g).
-g**2*(g - 2)**2/7
Let s(n) be the third derivative of n**7/630 - n**6/360 + 18*n**2. Determine t so that s(t) = 0.
0, 1
Let h(j) = j - 1. Let o(w) be the second derivative of -w**5/20 + w**4/12 - w**3/2 + 3*w**2/2 - 3*w. Let g(n) = -4*h(n) - o(n). Let g(l) = 0. Calculate l.
-1, 1
Let y be -1*(-4)/21*(-36)/(-24). Solve 2/7*x**2 - 2/7*x + 2/7*x**3 - y = 0 for x.
-1, 1
Let t be -6*5/10 + 3. Factor 0 - 2/5*z**5 + 0*z + 2/5*z**3 + 0*z**2 + t*z**4.
-2*z**3*(z - 1)*(z + 1)/5
Let n(z) = -6*z**4 + 2*z**3 - 2*z. Let h(b) = -b**4 + b**3 - b**2 - b. Suppose -6*f + f = -15. Let g(i) = f*h(i) - n(i). Factor g(t).
t*(t - 1)*(t + 1)*(3*t + 1)
Let b be -2 - (-22 - -2)/2. Suppose -3*y + y = -b. Suppose -2/5*r**5 - 4/5*r**2 - 2/5 + 6/5*r**y + 6/5*r - 4/5*r**3 = 0. What is r?
-1, 1
Let s = -12 - -16. Let u(k) be the first derivative of -k**3 - 3/4*k**2 + 1 - 1/2*k**s - 1/4*k. Factor u(q).
-(2*q + 1)**3/4
Suppose -4*p - 9 = -5*p - a, 0 = 3*a - 3. Let m be 1/2 + 28/p. Factor -7/4*z**3 - z**m + 1/2*z**2 + 0 + 0*z.
-z**2*(z + 2)*(4*z - 1)/4
Let h(d) = 2*d**2 + 6*d. Let c(x) = -x**2 - x. Let p(i) = 2*c(i) - h(i). Determine j so that p(j) = 0.
-2, 0
Factor w - 3*w**3 + 3*w**2 + 3 + w**3 - 7 - w**4 + 3*w.
-(w - 1)**2*(w + 2)**2
Let q(u) be the first derivative of u**7/1260 - u**6/540 - u**5/180 + u**4/36 - 2*u**3 - 5. Let m(f) be the third derivative of q(f). Solve m(x) = 0 for x.
-1, 1
Let m be (-5)/6*(-4)/325. Let b = 794/1365 - m. Factor 2/7*u**2 - b*u + 2/7.
2*(u - 1)**2/7
Let w(k) be the first derivative of k**8/1512 + k**7/945 - k**6/540 - k**5/270 - 2*k**2 + 4. Let z(r) be the second derivative of w(r). Factor z(d).
2*d**2*(d - 1)*(d + 1)**2/9
Factor 8*c + 0*c**2 + 4*c**2 + 4 + 2*c**2 - 2*c**2.
4*(c + 1)**2
Let v(q) = -7*q + 12 + 6*q - 10*q + 2*q**2 - q**2. Let m be v(10). Factor -2/3*x**m + 0 + 2/3*x.
-2*x*(x - 1)/3
Let x(s) = s**3 + 6*s**2 + 3*s - 4. Let q be x(-3). Let b be q/6 - (-2)/(-6). Factor -4*u**2 - 1 + 3*u**2 + 2*u + 0*u**b.
-(u - 1)**2
Suppose -1 = 4*o - 9. Factor -2*g + 4*g - 3*g**2 + 3*g**2 + o*g**2.
2*g*(g + 1)
Let v(k) = -k**3 + k**2 + k + 1. Let z(h) = 25*h**4 + 127*h**3 + 232*h**2 + 159*h + 39. Let s(q) = -3*v(q) + z(q). Solve s(f) = 0.
-2, -3/5
Let r = 3 + 2. Let g be (-4 - -5)*20/4. Factor -m**4 + m**r + m - 2*m**2 - 2*m**3 + 0*m**g + 6*m**2 - 2*m**2 - 1.
(m - 1)**3*(m + 1)**2
Let q(p) = 4*p**5 - 12*p**4 - 8*p**2 + 6*p. Let g(v) = -7*v**5 + 23*v**4 + v**3 + 15*v**2 - 11*v. Let d(a) = -6*g(a) - 11*q(a). Factor d(n).
-2*n**2*(n + 1)**3
Let m(v) be the third derivative of v**6/120 + v**5/10 + 5*v**4/24 - 30*v**2. Factor m(n).
n*(n + 1)*(n + 5)
Let f(b) be the third derivative of -2*b**3 - 2*b**2 + 2/3*b**4 - 1/15*b**5 + 0*b + 0. Let f(g) = 0. What is g?
1, 3
Let u(j) = -j**2 + 9*j + 1. Let v be u(7). Let k be 6/(-9) - (-10)/v. Determine b so that 4/3*b**2 + k - 2*b**4 + 2/3*b**3 + 0*b = 0.
-2/3, 0, 1
Let n = -2/1537 - -38433/6148. Determine b so that 2*b**5 + 7*b**4 + 2*b + 19/2*b**3 + 1/4 + n*b**2 = 0.
-1, -1/2
Let t = -5 - -6. Find z such that 3*z**2 + z + 4*z**5 - t - 3*z**4 - 5*z**3 + 0*z**4 + 1 = 0.
-1, -1/4, 0, 1
Factor -19/5*a**3 - 7/5*a**4 - 3*a**2 + 2/5 - 1/5*a.
-(a + 1)**3*(7*a - 2)/5
Determine v so that -4/7*v**2 - 80/7*v - 76/7 = 0.
-19, -1
Find x, given that -x**2 - 17*x - 16*x - 36 + 21*x = 0.
-6
Let f(n) = -2*n**2 + 2*n - 2. Let o(b) = 2*b**2 - 3*b + 3. Suppose -2*g = -5*y + 24, -3*g - 2*y + 0*y + 2 = 0. Let v(p) = g*o(p) - 3*f(p). Fa