) = -120*r**2 - 575*r - 310. Let c(l) = 10*l**2 + 48*l + 26. Let z(g) = 35*c(g) + 3*h(g). Solve z(i) = 0 for i.
-4, -1/2
Suppose -b = -0*b - 3. Let x be 2*b/(-6) - -3. Solve -p**x - 4 + 2 + 3 = 0.
-1, 1
Let d be -2 + (-1 + 3 - 0). Suppose v = 2 - d. What is m in m**2 - 3*m**2 - 4*m**4 + 2*m**5 + 2*m**3 + 2*m**v = 0?
0, 1
Let j = -20 - -24. Solve -5*c**2 + j + 2*c + 0 - 3*c**3 + c**2 + c**3 = 0 for c.
-2, -1, 1
Let t(l) = l**3 + 12*l**2 + 9*l - 22. Let v be t(-11). Determine c so that v*c**2 + 3/4*c**3 + 0 - 1/4*c**4 - c = 0.
-1, 0, 2
Let j(o) be the first derivative of 5*o**3/3 + 15*o**2/2 + 10*o + 14. Determine v, given that j(v) = 0.
-2, -1
Let b(u) = u**3 - 7*u**2 + 1. Let k be b(6). Let c be (-112)/k + 1/(-5). Find x, given that 0 - 2/5*x**2 + 0*x - 4/5*x**c = 0.
-1/2, 0
Let c be 375/(-20) + 4/(-16). Let k = c - -21. What is m in 0 + 4/3*m - 8/3*m**4 + 7*m**5 - 25/3*m**3 + 8/3*m**k = 0?
-1, -2/7, 0, 2/3, 1
Let r(x) = -11 - 24*x + 8*x + 5 - 9 + x**2. Let i be r(17). Factor 0 + 3/5*z**4 + 0*z + 3/5*z**i - 6/5*z**3.
3*z**2*(z - 1)**2/5
Solve 21*u**2 - 4*u**4 + u**3 - 20*u**2 + 3*u**4 - u = 0 for u.
-1, 0, 1
Let d = 23/6 - 10/3. Find r, given that 1/4*r + 1/2*r**2 + 0*r**3 - 1/4*r**5 - d*r**4 + 0 = 0.
-1, 0, 1
Let s(r) = r**2 + 4*r + 2. Let u be s(-4). What is w in 2*w**3 + 2*w**3 + 10*w + 10*w**3 + u + 18*w**2 + 4*w**4 = 0?
-1, -1/2
Let p(k) be the second derivative of -1/6*k**4 + 1/4*k**2 - 1/4*k**3 + 0 + 6*k. Factor p(j).
-(j + 1)*(4*j - 1)/2
Let n be (-4 - 7/(-2))*36/(-6). Factor -20/3*c - 2 - 2/3*c**4 - 4*c**n - 8*c**2.
-2*(c + 1)**3*(c + 3)/3
Let p = 1 + -1. Suppose -b + p*b + 4*x = 7, 4*b = -x + 6. Factor 3*o**3 + o + 3*o**2 + o**3 + b - 4*o**4 - 5*o.
-(o - 1)*(o + 1)*(2*o - 1)**2
Let g(i) be the second derivative of i**4/48 - 18*i. Solve g(o) = 0.
0
Let j(y) = -6*y + 66. Let b be j(11). Solve 2/13*s**4 + 4/13*s - 2/13 + b*s**2 - 4/13*s**3 = 0.
-1, 1
Let h(f) be the first derivative of -f + 1/16*f**4 + 0*f**2 + 1/4*f**3 - 6. Factor h(w).
(w - 1)*(w + 2)**2/4
Let c(j) = 3*j**3 - 2*j**2 - 16*j + 28. Let z be 2/5*(-10)/(-4). Let v(a) = -a**2 + a - 1. Let k(n) = z*c(n) + 4*v(n). What is b in k(b) = 0?
-2, 2
Solve 15/4*t + 1/8*t**2 + 225/8 = 0.
-15
Suppose 3*k = -0*k. Suppose 5*v = 10, k = -5*j - 2*v + 77 + 17. Factor -a + 10*a**3 + 8*a**3 - j*a**2 + 5*a.
2*a*(3*a - 2)*(3*a - 1)
Let b(o) be the third derivative of -o**5/150 - o**4/20 - 2*o**3/15 + o**2. Factor b(s).
-2*(s + 1)*(s + 2)/5
Suppose 170 = -3*k - q - 405, -q - 2 = 0. Let n = -566/3 - k. Find v such that 2/3*v + 0 + n*v**2 = 0.
-2/7, 0
Let h = 13/33 - -3/11. Let d = -8/21 + h. Factor -d*y**3 + 8/7*y**2 + 4/7 - 10/7*y.
-2*(y - 2)*(y - 1)**2/7
Suppose -5*r + 25 = -6*k + k, 4*k = -r - 5. Let y(d) = d**2 - 3*d. Let a be y(r). Solve -3/4*s**3 + a - 1/2*s - 5/4*s**2 = 0.
-1, -2/3, 0
Let c(n) = n**3 + n**2 - 2*n. Let w be 1/(-1 + 2) - -2. Let x(j) = -3*j + 0*j + j**2 + j**w + j**2. Let f(z) = -4*c(z) + 3*x(z). Factor f(s).
-s*(s - 1)**2
Let u(b) = -b**4 - b**2 - 1. Let j(c) = 2*c**4 + 5*c**2 + 2. Let o(i) = j(i) + 3*u(i). Solve o(y) = 0 for y.
-1, 1
Solve 6 - 5*u**2 + 15 - 1 = 0 for u.
-2, 2
Let g(j) be the third derivative of 0 + 1/36*j**4 - 1/360*j**6 + 2*j**2 + 0*j - 1/180*j**5 + 0*j**3. Factor g(w).
-w*(w - 1)*(w + 2)/3
Let w(p) = p**2 - 81. Let f be w(9). Factor 3/2*d**5 - 3*d**3 + f + 0*d**2 + 0*d**4 + 3/2*d.
3*d*(d - 1)**2*(d + 1)**2/2
Let o(b) be the first derivative of -15/4*b**4 + 0*b**2 - 6 + 2*b**3 + 9/5*b**5 + 0*b. Determine z, given that o(z) = 0.
0, 2/3, 1
Factor 14/19*f**2 + 24/19 - 2/19*f**3 - 32/19*f.
-2*(f - 3)*(f - 2)**2/19
Let i(r) be the first derivative of -6 + 2/3*r + 1/3*r**2 - 4/9*r**3. Solve i(j) = 0 for j.
-1/2, 1
Let d(n) be the third derivative of -n**8/1512 - n**7/945 + n**6/540 + n**5/270 + 4*n**2. What is m in d(m) = 0?
-1, 0, 1
Let o = -17 + 32. Let f be (-10)/o + (-16)/(-6). Factor 0 - 1/2*h**f + 0*h - 3/2*h**4 + 1/2*h**5 + 3/2*h**3.
h**2*(h - 1)**3/2
Let k(o) be the first derivative of o**5/4 + 5*o**4/16 - 5*o**3/4 - 5*o**2/8 + 5*o/2 - 8. Factor k(b).
5*(b - 1)**2*(b + 1)*(b + 2)/4
Let n(b) = 2*b**4 - b**3 + b**2 + b - 1. Let o(i) = i**4 + i**3 + i**2 - i. Let g(m) = n(m) - o(m). Let g(t) = 0. What is t?
-1, 1
Let q(o) = 2*o - 11. Let h be q(13). Let t = 50/3 - h. Factor 4/3*c**4 - 5/3*c - c**2 + t*c**3 - 1/3.
(c - 1)*(c + 1)**2*(4*c + 1)/3
Let l(y) be the second derivative of -y**4/48 - y**3/12 - y**2/8 + 11*y. Factor l(f).
-(f + 1)**2/4
Let b = 7 + -4. What is s in 2*s**2 - 4*s**4 + 2*s**2 + 0*s**5 + 4*s**5 + s**3 - 5*s**b = 0?
-1, 0, 1
Let m(b) be the third derivative of b**6/30 - b**5/15 - 2*b**4/3 + 8*b**3/3 + 7*b**2. Factor m(i).
4*(i - 2)*(i - 1)*(i + 2)
Factor 75/4 - 3/4*b**3 - 105/4*b + 33/4*b**2.
-3*(b - 5)**2*(b - 1)/4
Suppose 8 = -0*c + 4*c. Solve 2/7*o**3 + 2/7*o + 0 - 4/7*o**c = 0.
0, 1
Let p(h) be the first derivative of -49*h**5/50 + 77*h**4/30 - 32*h**3/15 + 4*h**2/5 - h - 4. Let y(x) be the first derivative of p(x). Factor y(o).
-2*(o - 1)*(7*o - 2)**2/5
Suppose 2*c - 2 = -b - 3, -3*c + 31 = -5*b. Suppose 0 = 5*n - c*n - 6. Factor -2*o + 3*o**4 + 1 + 0*o + n*o**3 - 4*o**4.
-(o - 1)**3*(o + 1)
Let c be (1*0/3)/(-2). Let d(g) be the third derivative of c*g**6 - 1/336*g**8 - 1/30*g**5 + 0*g + 0 + 0*g**3 + 1/105*g**7 + 1/24*g**4 + 2*g**2. Factor d(i).
-i*(i - 1)**3*(i + 1)
Let d(p) be the third derivative of p**8/1176 - p**6/210 + p**4/84 - 4*p**2. What is r in d(r) = 0?
-1, 0, 1
Let d be 8/3 - (-1)/3. Factor -1 + 1 - 3*c**2 + 0 + d*c.
-3*c*(c - 1)
Let l(d) be the third derivative of 0 - 3*d**2 + 1/108*d**4 + 0*d + 0*d**3 + 1/270*d**5. Factor l(o).
2*o*(o + 1)/9
Let f(g) be the first derivative of g**7/5880 - 5*g**3/3 + 1. Let u(l) be the third derivative of f(l). Factor u(y).
y**3/7
Let y(a) be the first derivative of 4*a**5/15 - 4*a**3/9 + 3. Determine v so that y(v) = 0.
-1, 0, 1
Solve -17*h + h**3 - 17*h - h**2 + 32*h = 0 for h.
-1, 0, 2
Let k(n) = -3*n - 9. Let a be k(-4). Let p**3 + 5*p**a + 3*p**4 - 4*p**4 - 2*p**4 = 0. What is p?
0, 2
Let w(b) be the third derivative of b**6/60 + b**5/30 - b**4/12 - b**3/3 + 5*b**2. Factor w(d).
2*(d - 1)*(d + 1)**2
Determine k so that 0 - 9/4*k + 21/8*k**4 + 6*k**3 - 51/8*k**2 = 0.
-3, -2/7, 0, 1
Factor 2/7*v**2 + 6/7*v + 0.
2*v*(v + 3)/7
Let m(y) be the third derivative of y**7/350 - y**6/200 - 3*y**5/100 + y**4/40 + y**3/5 + 8*y**2. Factor m(n).
3*(n - 2)*(n - 1)*(n + 1)**2/5
Let w(d) = -d**2 - 4*d. Let p be w(-5). Let n be 2 + -8*(-1)/p. Suppose n*k**2 + 8/5 - 8/5*k = 0. Calculate k.
2
Let a(k) = -k**3 - 5*k**2 + 5*k - 6. Let b be a(-6). Let m(v) be the second derivative of -1/18*v**3 - 1/36*v**4 + b*v**2 + 0 - 2*v. Factor m(f).
-f*(f + 1)/3
Let b be 4 - ((-9)/(-6))/((-15)/(-20)). Let f(g) be the first derivative of 1/2*g**b + 1 - 2*g + 1/3*g**3. Factor f(r).
(r - 1)*(r + 2)
Let g = -10 - -10. Let q(u) be the second derivative of g - u + 0*u**3 - 1/12*u**4 + 1/2*u**2. Find l, given that q(l) = 0.
-1, 1
Let y(x) be the second derivative of x**7/70 + x**6/20 + x**5/20 + x**2/2 + 5*x. Let v(g) be the first derivative of y(g). Factor v(d).
3*d**2*(d + 1)**2
Let o(z) = 16*z**3 + 52*z**2 + 47*z + 8. Let y(h) = -32*h**3 - 104*h**2 - 93*h - 16. Let x(j) = -5*o(j) - 3*y(j). Factor x(p).
4*(p + 1)*(p + 2)*(4*p + 1)
Factor -54/7*a**2 + 3/7*a**3 - 648/7 + 324/7*a.
3*(a - 6)**3/7
Let u(l) be the third derivative of 1/6*l**4 + 0*l + 0 + 3*l**2 + 4/3*l**3 - 1/15*l**5. Suppose u(i) = 0. Calculate i.
-1, 2
Suppose 12 = 3*u + 3*x, 4*u - x + 10 - 26 = 0. Suppose -2*m - 6 = -5*m. Suppose -11*f**2 - 3*f - 8*f**u + 5*f + 18*f**3 - f**m = 0. Calculate f.
0, 1/4, 1
Let h(b) be the first derivative of b**6/7 - 22*b**5/35 + 15*b**4/14 - 6*b**3/7 + 2*b**2/7 + 15. Factor h(f).
2*f*(f - 1)**3*(3*f - 2)/7
Suppose 2 = -a + 6. Let f = 385 + -383. Let 2/7*o + 2/7*o**a + 0 - 2/7*o**3 - 2/7*o**f = 0. Calculate o.
-1, 0, 1
Let f(b) be the second derivative of 1/15*b**4 + 0*b**2 + 3/25*b**5 + 9*b + 2/105*b**7 + 0 + 0*b**3 + 2/25*b**6. Factor f(w).
4*w**2*(w + 1)**3/5
Let c(a) be the first derivative of -a**6/9 - 2*a**5/5 + a**4/6 + 2*a**3/3 - 46. Solve c(f) = 0 for f.
-3, -1, 0, 1
Let a(p) be the second derivative of p**6/10 + 9*p**5/100 - p**4/10 + 24*p. Factor a(v).
3*v**2*(v + 1)*(5*v - 2)/5
Let k(t) be the third derivativ