)*(d + 1)**2
Suppose 3*q = 4*h + 17, 2 = q + h + 1. Factor 6/5*n**2 + 12/5*n**3 - q*n - 12/5*n**4 + 6/5 + 3/5*n**5.
3*(n - 2)*(n - 1)**3*(n + 1)/5
Suppose 6 = -5*c + 8*c. Determine r so that 0 + 0*r + 1/2*r**c = 0.
0
Solve -s**3 - 1/5*s**4 - 3/5*s**2 + 9/5*s + 0 = 0.
-3, 0, 1
Suppose 4*i - 7 = 17. Let c = i - 4. Factor n**2 - n**2 + n**c.
n**2
Let u(s) be the third derivative of s**8/336 - s**6/40 - s**5/30 + 7*s**2. Let u(w) = 0. What is w?
-1, 0, 2
Let m(f) be the third derivative of f**7/42 + f**6/24 - f**5/6 - 2*f**2. Determine t, given that m(t) = 0.
-2, 0, 1
Let j = 4 + -4. Suppose -5*k + 14 + 1 = j. Factor 8*x**2 - 8*x**k - 6*x**2 + 2*x**4 + 0*x**4 + 6*x**2.
2*x**2*(x - 2)**2
Let q(s) = -s**2 + 11*s - 8. Let f be q(10). Factor j**2 - 4 + 1 - f*j + 4.
(j - 1)**2
Let f(c) be the second derivative of c**4/66 - c**3/3 - 4*c. Factor f(i).
2*i*(i - 11)/11
Suppose -5*k - 3*p + 6 = 0, 3*p - 4 = -k + 2. Let 0*v + 1/4*v**2 - 1/4*v**4 + 0 + k*v**3 = 0. What is v?
-1, 0, 1
Factor -32/5*z**3 - 512/5 - 2/5*z**4 - 512/5*z - 192/5*z**2.
-2*(z + 4)**4/5
Let v(d) be the first derivative of 2/21*d**3 + 0*d - 2 - 2/35*d**5 + 0*d**2 + 0*d**4. Factor v(c).
-2*c**2*(c - 1)*(c + 1)/7
Suppose 6*q + 24 = 2*q. Let b(f) = 2*f + 12. Let h be b(q). Factor 6/5*w**4 + h + 2/5*w**2 + 0*w - 2/5*w**5 - 6/5*w**3.
-2*w**2*(w - 1)**3/5
Let k(u) be the second derivative of u**5/25 - 2*u**3/15 - 6*u. Let k(o) = 0. What is o?
-1, 0, 1
Let i(v) be the third derivative of v**6/840 - v**5/105 + v**4/56 + 14*v**2. Suppose i(n) = 0. Calculate n.
0, 1, 3
Let h(n) be the second derivative of -n**6/40 - n**5/10 - n**4/8 + n**2 + n. Let j(t) be the first derivative of h(t). Factor j(u).
-3*u*(u + 1)**2
Let c be (-20)/(-3) + (0 - 6). Let f be (-3)/(-2 + (-5)/(-4)). Find n, given that 0 + 0*n + 2/3*n**f + n**5 - n**3 - c*n**2 = 0.
-1, -2/3, 0, 1
Suppose 9 = 16*c - 23. Determine v so that v**3 + 3/2*v**4 - v + 1/2 - 2*v**c = 0.
-1, 1/3, 1
Let i(k) be the first derivative of -k**7/105 + k**5/25 - k**3/15 + 2*k - 3. Let r(o) be the first derivative of i(o). Factor r(a).
-2*a*(a - 1)**2*(a + 1)**2/5
Let n = 0 - -3. Factor 0*v**n - v**3 - 2*v**3 + 6 + 9*v.
-3*(v - 2)*(v + 1)**2
Let z(f) be the second derivative of -1/9*f**7 + 0 - 2/45*f**6 + 7/30*f**5 + 0*f**3 + 1/9*f**4 + 0*f**2 + 3*f. Find h, given that z(h) = 0.
-1, -2/7, 0, 1
Let n(k) be the first derivative of k**6/36 - k**5/10 + k**4/8 - k**3/18 - 7. Suppose n(a) = 0. Calculate a.
0, 1
Let o(u) be the third derivative of -u**5/80 - 5*u**4/192 + u**3/48 - 7*u**2. Factor o(x).
-(x + 1)*(6*x - 1)/8
Suppose -3*o = -7*o - 348. Let p be (-4)/18 - o/27. Factor -n**3 - 2*n**4 - 4*n + n**p + 5*n**3 - n**3 + 2*n**2.
-2*n*(n - 2)*(n - 1)*(n + 1)
Let k(n) be the second derivative of n**7/36 + n**6/90 - 7*n**5/120 - n**4/36 - 11*n. Let k(f) = 0. Calculate f.
-1, -2/7, 0, 1
Let z be (-5)/5 - (-14)/12. Let q(p) be the second derivative of -z*p**4 - 4*p**2 + 0 + 4/3*p**3 - p. Factor q(r).
-2*(r - 2)**2
Let w(t) be the second derivative of t**5/240 + t**4/48 + 3*t**2/2 - 3*t. Let a(f) be the first derivative of w(f). Factor a(l).
l*(l + 2)/4
Let s be (2 + 0)*(-165)/(-550). Factor 3/5*t - 3/5 + s*t**2 - 3/5*t**3.
-3*(t - 1)**2*(t + 1)/5
Suppose 0 = -2*s - 0*s + 6, 0 = -z - 2*s. Let j be 8/20*(-5)/z. Factor 0 - j*c**2 + 0*c.
-c**2/3
Suppose 56 = 3*k + 47. Factor k*z**2 + 21/2*z - 21/2*z**3 - 3.
-3*(z - 1)*(z + 1)*(7*z - 2)/2
Let m(y) be the first derivative of -y**4/12 - 2*y**3/9 + y**2/6 + 2*y/3 + 7. Factor m(q).
-(q - 1)*(q + 1)*(q + 2)/3
Let b(i) be the first derivative of i**6/63 - 4*i**5/105 - i**4/21 + 8*i**3/63 + i**2/21 - 4*i/21 + 22. Determine p, given that b(p) = 0.
-1, 1, 2
Let t be 0/(-5 + 1 + 2). Let h(b) be the second derivative of 0*b**5 - 1/75*b**6 + 0*b**3 + 0*b**2 + 0 + t*b**4 - b. Determine f so that h(f) = 0.
0
Let k(f) = -2*f**2 + 2*f + 8. Let a(j) = -2*j - 2*j**2 + j**2 + 3*j. Let c(t) = 2*a(t) + k(t). Factor c(u).
-4*(u - 2)*(u + 1)
Let t(h) = 1. Let o(i) = 4*i**2 + 2. Let q(m) = o(m) - 6*t(m). Factor q(f).
4*(f - 1)*(f + 1)
Find l, given that 2/3*l**3 + 2/3 - 2/3*l**2 - 2/3*l = 0.
-1, 1
Let g(j) be the first derivative of -j**7/3360 - j**6/720 - j**5/480 - j**3/3 + 1. Let z(l) be the third derivative of g(l). Factor z(f).
-f*(f + 1)**2/4
Let s be 1 + ((-554)/630 - -1). Let j = 23/35 + s. Suppose j*w**3 - 2/3*w**4 - 2*w**5 + 0*w + 8/9*w**2 + 0 = 0. Calculate w.
-2/3, 0, 1
Factor 4/7*v + 2/7*v**4 + 0 - 2/7*v**2 - 4/7*v**3.
2*v*(v - 2)*(v - 1)*(v + 1)/7
Let p(b) = 10*b**3 + 12*b**2 - 4*b - 12. Let r(o) = -o**3. Let u(d) = -p(d) - 6*r(d). What is h in u(h) = 0?
-3, -1, 1
Let p(i) be the second derivative of i**7/21 - i**6/15 - 3*i**5/10 + 5*i**4/6 - 2*i**3/3 - 34*i. Solve p(h) = 0 for h.
-2, 0, 1
Let g be (3/2)/((-6)/36*-3). Let l(t) be the second derivative of 0 - 1/2*t**2 - 1/12*t**4 - g*t - 5/12*t**3. Factor l(m).
-(m + 2)*(2*m + 1)/2
Let o be -4*(2 - 21/6). Suppose -x - o = -4*x. Factor 1/3*q**x + 0*q + 0 + 1/3*q**3.
q**2*(q + 1)/3
Let l(u) be the second derivative of 1/18*u**3 + u + 0 - 1/3*u**2 + 1/36*u**4. Find k such that l(k) = 0.
-2, 1
Let l be 33/9 - 4/(-12). Solve 0*r**2 - 6 + 8*r + 2*r**2 - l*r**2 = 0 for r.
1, 3
Let g = 2683/11022 + -1/1002. Let l = 1/11 + g. Factor 0*j**3 + 2/3*j**2 - l + 0*j - 1/3*j**4.
-(j - 1)**2*(j + 1)**2/3
Suppose 0*g + g = 5. Let 3*i**4 + i - 14*i**2 - g*i + 11*i**4 + 4*i**3 = 0. What is i?
-1, -2/7, 0, 1
Let t(f) be the second derivative of f**4/6 + 8*f**3/3 + 7*f**2 + f. Factor t(l).
2*(l + 1)*(l + 7)
Suppose 0 = 5*o - 7 - 8. Let l(p) be the second derivative of -p**o + 0 - 1/10*p**5 + 1/2*p**4 - 5*p + p**2. Factor l(u).
-2*(u - 1)**3
Let a be 70/(-20)*(-3)/7. What is i in 0*i - 3/2*i**2 + a = 0?
-1, 1
Let s(g) be the second derivative of g**5 + 2*g**4/3 - 22*g. Determine r, given that s(r) = 0.
-2/5, 0
Factor -4*x + 4*x**4 + 9 + 12*x**3 - 8*x**2 - 4*x**3 - 4*x**5 - 5.
-4*(x - 1)**3*(x + 1)**2
Determine r, given that 0*r + 5/3*r**2 + 1/3*r**4 + 0 - 2*r**3 = 0.
0, 1, 5
Let z be ((-2)/4)/((-7)/28). Determine k, given that -2/9*k**5 + 0 + 0*k + 2/9*k**z - 2/9*k**4 + 2/9*k**3 = 0.
-1, 0, 1
Let l(p) = 7*p**4 - 4*p**3 - 2*p**2 + 9*p - 5. Let r(s) = -11*s**4 + 6*s**3 + 3*s**2 - 14*s + 8. Let y(h) = -8*l(h) - 5*r(h). Factor y(t).
-t*(t - 2)*(t - 1)*(t + 1)
Let r(q) be the third derivative of -q**8/3360 - q**7/1260 - q**4/24 + q**2. Let m(b) be the second derivative of r(b). Factor m(c).
-2*c**2*(c + 1)
Let a(l) be the first derivative of 0*l + 7 + 2/3*l**3 + 1/4*l**4 + 1/2*l**2. Factor a(u).
u*(u + 1)**2
Let r(s) be the third derivative of s**7/1260 - s**6/180 + s**5/180 + s**4/36 - s**3/12 - 5*s**2. Suppose r(v) = 0. Calculate v.
-1, 1, 3
Suppose 560 - 566 = -2*c. Factor 2*z**c - 2/3*z**4 + 2/3*z - 2*z**2 + 0.
-2*z*(z - 1)**3/3
Let a(m) be the third derivative of -m**5/130 - 7*m**4/156 - 2*m**3/39 + 5*m**2. Factor a(w).
-2*(w + 2)*(3*w + 1)/13
Let n(s) be the third derivative of -s**6/200 - 3*s**5/100 + 25*s**2. What is t in n(t) = 0?
-3, 0
Let c = -1 - -3. Factor -4*t - 2*t**2 - t**c + 2*t**2 - t**2 - 2.
-2*(t + 1)**2
Suppose -87*r + 81*r = -12. Let -4/7*j**3 - 18/7*j**r + 0 + 18/7*j**4 + 4/7*j = 0. Calculate j.
-1, 0, 2/9, 1
Let x(w) be the first derivative of w**6/3 - 2*w**5/5 - w**4/2 + 2*w**3/3 + 16. Factor x(t).
2*t**2*(t - 1)**2*(t + 1)
Suppose b = -4, 4*l - 2*b - 8 = 6*l. Let t(w) = w**3 - w**2 - w + 4. Let s be t(l). Determine p so that 2*p**2 - 4*p**3 - 6 + 2*p**s + 6 = 0.
0, 1
Let d(a) = 2*a**2 - 11*a + 2. Let k(y) = y**2 - 7*y + 1. Suppose 3 + 7 = -2*v. Let t(b) = v*d(b) + 7*k(b). Solve t(s) = 0.
1
Let w(r) be the first derivative of r**6/2 - 9*r**5/5 + 3*r**4/2 + 2. Factor w(t).
3*t**3*(t - 2)*(t - 1)
Let q = -52 - -261/5. Let d(t) be the second derivative of 0 - 3*t + 1/6*t**4 - q*t**3 - 2/5*t**2. Solve d(r) = 0.
-2/5, 1
Let h(x) be the second derivative of -x**4/4 - 5*x**3/2 - 6*x**2 - 18*x. Let h(t) = 0. What is t?
-4, -1
Determine r, given that 2/3*r + 0 - 8/9*r**2 + 2/9*r**3 = 0.
0, 1, 3
Let w be -2 - 1 - (-26 + 23). Suppose 0 = -7*i + 14 - w. Suppose -2/7*f + 0 - 4/7*f**i - 2/7*f**3 = 0. Calculate f.
-1, 0
Let j(k) = -3*k**4 + 8*k**3 - 2*k**2 + 14*k - 17. Let n(r) = r**4 - 3*r**3 + r**2 - 5*r + 6. Let l(p) = 4*j(p) + 11*n(p). Factor l(i).
-(i - 1)**2*(i + 1)*(i + 2)
Let u(s) be 