 + 1. Let v(b) = -3*b**2 - 2*b + 11. Let p(z) = -5*z**2 - 3*z + 16. Let y(t) = -5*p(t) + 7*v(t). Let s(c) = 3*i(c) + y(c). Solve s(f) = 0.
-1, 0
Let n be (-2 - -3)*(0 - -6). Find s such that 2*s**2 + 2*s + 6 - n = 0.
-1, 0
Let l(q) = 39*q**4 - 105*q**3 + 39*q**2. Let y(a) = -3*a**4 + 8*a**3 - 3*a**2. Let s(t) = 2*l(t) + 27*y(t). Let s(r) = 0. What is r?
0, 1
Let i(v) be the first derivative of 0*v + 2 + 1/3*v**6 + 0*v**4 - 2/5*v**5 + 0*v**3 + 0*v**2. Factor i(y).
2*y**4*(y - 1)
Let w(m) be the second derivative of 5*m**7/42 + m**6/2 - 5*m**4/3 - m. Factor w(f).
5*f**2*(f - 1)*(f + 2)**2
Let r(n) = n**2 + 1. Let q(f) = -f**2 - 2*f + 1. Let y be q(-2). Let b(c) = c**2 + c + 2. Let o(x) = y*b(x) - 2*r(x). Solve o(m) = 0 for m.
0, 1
Let c = -8 + 13. Suppose -5*k - h - 1 = 0, -c = -4*k - 0*h + 5*h. Suppose 1/2*p**3 + 1/2*p**4 + k + 0*p**2 + 0*p = 0. What is p?
-1, 0
Let l(p) be the first derivative of -p**5/110 + p**4/22 - p**3/11 + p**2/11 + 3*p - 3. Let y(b) be the first derivative of l(b). Factor y(z).
-2*(z - 1)**3/11
Let v be (-10)/(-45) + (-11)/9. Let g(k) = -k**2 + k + 1. Let b(s) = -5*s**2 + 7*s + 6. Let i(t) = v*b(t) + 6*g(t). Suppose i(y) = 0. What is y?
-1, 0
Let u = -1289/3 - -433. Factor 2*b**3 + 0 + 4/3*b + u*b**2.
2*b*(b + 1)*(3*b + 2)/3
Let g = -424/45 + 110/9. Factor 4/5 - 14/5*i + g*i**2 - 4/5*i**3.
-2*(i - 2)*(i - 1)*(2*i - 1)/5
Let s(b) be the second derivative of 0 - 5/3*b**4 + 3*b + b**2 + 3/10*b**5 + 4/3*b**3. Let w(t) be the first derivative of s(t). What is q in w(q) = 0?
2/9, 2
Let z(h) be the third derivative of -h**8/47040 + h**7/5880 - h**6/1680 + h**5/840 - h**4/24 - 7*h**2. Let b(y) be the second derivative of z(y). Factor b(k).
-(k - 1)**3/7
Let y(c) = -2*c**2 + 24*c - 18. Let b be y(11). Find s, given that -b*s**3 - 8/3*s**2 + 0 - 2/3*s**5 - 2/3*s - 8/3*s**4 = 0.
-1, 0
Let u(p) be the first derivative of -p**7/14 - p**6/10 + p + 1. Let d(l) be the first derivative of u(l). Factor d(x).
-3*x**4*(x + 1)
Let j be 6 - (2 + (-72)/(-20)). Factor 0 + r**3 + 2/5*r**4 + 1/5*r**2 - j*r.
r*(r + 1)*(r + 2)*(2*r - 1)/5
Find d, given that -15/4*d - 3/2*d**4 + 3/2 + 0*d**2 + 15/4*d**3 = 0.
-1, 1/2, 1, 2
Let y(v) = -v**2 - 8*v - 8. Let l be y(-6). Suppose -5*r + 26 = 3*m, l*m - 7*m - 3*r = -18. Let 2*u - 2*u**m - u**2 + u**2 = 0. What is u?
0, 1
Let k(v) be the first derivative of v**4/12 - v**2/6 - 40. Factor k(u).
u*(u - 1)*(u + 1)/3
Let v be ((-6)/(-4))/((-2)/12). Let p be ((-24)/(-80))/(v/(-6)). Factor p*w**4 + 3/5*w**2 + 0 - 1/5*w - 3/5*w**3.
w*(w - 1)**3/5
Let j = 265/3 - 88. Suppose -1/2*q**4 + 0*q + j*q**5 + 0 + 0*q**3 + 1/6*q**2 = 0. What is q?
-1/2, 0, 1
Suppose 0 = k - 4*k. Let q be (k - -1) + 1 + -1. Let v(t) = 1. Let d(a) = -2*a**2 - 4*a + 8. Let o(h) = q*d(h) - 10*v(h). Factor o(u).
-2*(u + 1)**2
Suppose -6*n + 1416 = 336. Let r = n + -892/5. Determine v, given that -r - 2/5*v**2 + 8/5*v = 0.
2
Let x(c) be the second derivative of -2*c**2 + 3/2*c**4 + 0 + 5/3*c**3 - 3*c - 1/2*c**5 - 7/15*c**6. Find k such that x(k) = 0.
-1, 2/7, 1
Let h(v) = v**3 + v**2 - v + 1. Let b(w) = -w**4 - 4*w**3 - 27*w**2 + 4*w + 44. Let i(f) = -5*b(f) + 40*h(f). Solve i(k) = 0 for k.
-6, -1, 1
Let x(f) be the second derivative of -f**6/120 + f**4/8 - f**3/2 - 2*f. Let d(q) be the second derivative of x(q). Factor d(o).
-3*(o - 1)*(o + 1)
Let k(v) = 3*v + 7. Let s be k(-6). Let m = 15 + s. Factor 4/7*t**3 + 0*t + 2/7*t**m + 0 + 2/7*t**2.
2*t**2*(t + 1)**2/7
Let l(x) = 5*x**4 - 3*x**3 - 5*x**2 + x + 2. Let y(m) = -m**4 + m**3 + m**2 - 1. Let k(i) = -l(i) - 2*y(i). Factor k(j).
-j*(j - 1)*(j + 1)*(3*j - 1)
Let n = 4337/5 - 867. Factor 4/5*o**2 + 0*o + 0 - n*o**3.
-2*o**2*(o - 2)/5
Let v(w) be the third derivative of w**6/120 - w**5/10 + w**4/2 + w**3/6 - 4*w**2. Let t(h) be the first derivative of v(h). Determine d so that t(d) = 0.
2
Let w(x) = -2*x**2 - 8*x - 14. Let f(n) = -1. Let g(l) = -6*f(l) + w(l). Factor g(v).
-2*(v + 2)**2
Let j = -5 - -8. Suppose -j*l + 4*l - 5 = -2*m, 5*m = -3*l + 13. Solve -3*i**3 - 3*i**4 + m*i**4 + 3*i**4 + i**3 = 0 for i.
0, 1
Suppose -3*x + 36 = 3*y, -5*y = -4*y + 2*x - 16. Let n be (-20)/(-6)*y/60. Let 0*b**3 - 2/9*b + 0 + 4/9*b**2 + 2/9*b**5 - n*b**4 = 0. What is b?
-1, 0, 1
Let o(p) = -7*p**5 - 10*p**4 - 3*p**3 - 4*p**2 - 4. Let h(r) = 8*r**5 + 11*r**4 + 3*r**3 + 5*r**2 + 5. Let k(i) = 4*h(i) + 5*o(i). Solve k(l) = 0.
-1, 0
Let s(r) be the second derivative of -r**6/480 + r**5/80 - r**4/48 + 3*r**2/2 - 2*r. Let i(a) be the first derivative of s(a). Factor i(g).
-g*(g - 2)*(g - 1)/4
Suppose -5*w + 5 = 2*p, 10*w - 1 = 11*w. Factor 2/3*r**3 + r**p + 2*r**2 + 1/3 - 7/3*r**4 - 5/3*r.
(r - 1)**3*(r + 1)*(3*r - 1)/3
Let t(w) = w**5 - 10*w**4 - 8*w**3 + w**2 + 5*w - 2. Let s(v) = -v**5 + 19*v**4 + 16*v**3 - v**2 - 9*v + 3. Let r(x) = 3*s(x) + 5*t(x). Factor r(q).
(q + 1)**4*(2*q - 1)
Let m = 148 - 148. Let b(x) be the second derivative of -1/30*x**6 + m*x**3 + 0*x**5 + 0*x**2 + 0*x**4 + 0 + x + 1/42*x**7. Factor b(y).
y**4*(y - 1)
Let x(r) be the first derivative of -r**4/8 + r**2/4 + 5. Suppose x(z) = 0. What is z?
-1, 0, 1
Let t be -1*(0 + 3) + 4. Factor -4*w**3 - t + 6*w**4 - 2*w**4 + 2*w**3 - w**4 - 2*w**2 - w**5 + 3*w.
-(w - 1)**4*(w + 1)
Factor 3/4*z + 5/4*z**2 - 9/4 + 1/4*z**3.
(z - 1)*(z + 3)**2/4
Let k(z) be the first derivative of -z**3/4 - 9*z**2/8 - 22. Determine m so that k(m) = 0.
-3, 0
Let h be 15/(-6)*(-16)/10. Suppose -2*u = k - 0*u - 11, u + 8 = h*k. Find s, given that 2*s**4 + s**k + 4*s**2 - 7*s**2 + 2*s**2 = 0.
-1, 0, 1/2
Let p be 1278/81 + 4/18. Suppose a = 3*x + 12, 3*a + p = -3*x - x. Factor a*r + 0*r**2 + 0 - 2/9*r**3.
-2*r**3/9
Let f(v) be the second derivative of -v**7/42 - v**6/10 - 3*v**5/20 - v**4/12 + 5*v. Factor f(k).
-k**2*(k + 1)**3
Let z be -1 - (-33 + 8/4). Let c be (20/z)/(-1 + 2). Solve -2/3*l**3 + 2/3*l**2 + 2/3*l**5 + 0 - c*l**4 + 0*l = 0 for l.
-1, 0, 1
Let w(h) be the first derivative of -h**7/70 - h**6/30 + h**5/30 + h**4/6 + h**3/6 + h**2 + 4. Let y(g) be the second derivative of w(g). Factor y(d).
-(d - 1)*(d + 1)**2*(3*d + 1)
Let u = 55/4 - 27/2. Solve 1/4*i**2 - 1/2*i + u = 0 for i.
1
Suppose -4 = -v + 2. Factor -10 - 19*o - v - 4*o**2 + 3*o.
-4*(o + 2)**2
Let h = -133 - -133. Determine m, given that h*m + 2/9*m**2 - 2/9 = 0.
-1, 1
Let n(y) be the first derivative of y**5/5 + y**4/4 - y**3 - y**2/2 + 2*y + 42. Factor n(v).
(v - 1)**2*(v + 1)*(v + 2)
Let o = 599 - 59899/100. Let a(s) be the third derivative of 4*s**2 + 0*s + o*s**5 - 1/40*s**4 - 1/5*s**3 + 0. Suppose a(w) = 0. What is w?
-1, 2
Let c = -3 + -2. Let l = c - -7. Factor 2*h + 2*h**2 + 1 + 2*h**l - 3*h**2.
(h + 1)**2
Let o = 20 - 18. Let y(s) be the first derivative of s + 7/8*s**4 - 1 + 3/4*s**o - 2*s**3. Suppose y(d) = 0. Calculate d.
-2/7, 1
Let s(t) be the first derivative of t**5/80 - t**3/24 - 6*t - 7. Let v(g) be the first derivative of s(g). Factor v(b).
b*(b - 1)*(b + 1)/4
Let h(g) be the third derivative of -1/60*g**6 + 1/15*g**5 - 1/12*g**4 + 0*g - 7*g**2 + 0 + 0*g**3. Find w such that h(w) = 0.
0, 1
Let b(h) be the third derivative of -h**6/120 + h**4/24 - 10*h**2. Factor b(x).
-x*(x - 1)*(x + 1)
Let k(h) be the second derivative of h**7/42 - h**6/15 - h**5/10 + 2*h**4/3 - 7*h**3/6 + h**2 + 5*h. Determine b, given that k(b) = 0.
-2, 1
Let o(a) be the second derivative of -a**7/2520 - a**6/720 - a**5/720 + 2*a**3/3 - 4*a. Let h(c) be the second derivative of o(c). Factor h(n).
-n*(n + 1)*(2*n + 1)/6
Let x be (-1)/6 - (-2)/(108/117). Factor 8/7*g**x + 0 + 0*g - 4/7*g**3 - 4/7*g**4.
-4*g**2*(g - 1)*(g + 2)/7
Factor -2*p - 2*p**2 - p**3 - 2*p**4 + 3*p**3 + 4*p**2 + 0*p**3.
-2*p*(p - 1)**2*(p + 1)
Let i be (4/5)/(1/(-5)). Let s be (2/i)/((-7)/28). Factor 2*g**2 + 3*g**2 + 3*g - 4*g**2 + 2*g**s.
3*g*(g + 1)
Let x be 17/(408/128) + -4 + 0. Determine v, given that -1/3*v**4 + 0*v + 0 - 4/3*v**2 + x*v**3 = 0.
0, 2
Let n be 4/(-18) + 52/(-9). Let a be (-3)/n*(-24)/(-7). Factor -2/7 + 48/7*g**3 - a*g - 32/7*g**4 - 2/7*g**2.
-2*(g - 1)**2*(4*g + 1)**2/7
Let c be (-2)/4*(-6 + -4). Factor -2*z**2 + c*z**2 - 9*z**2 - 9*z + 3*z**3.
3*z*(z - 3)*(z + 1)
Let r(o) be the second derivative of 4*o**7/21 - 6*o**6/5 + 14*o**5/5 - 3*o**4 + 4*o**3/3 + 2*o - 8. Solve r(k) = 0 for k.
0, 1/2, 1, 2
Let x be (494/76 + (-5 