i**2 + 24*i - 22. Let m(u) = -13*d(u) - 6*n(u). Determine s so that m(s) = 0.
1, 4
Let f(h) = 3*h**3 - h**2 + 2*h - 2. Let z = 8 + -6. Let u(b) = 16*b**3 - 5*b**2 + 11*b - 11. Let x(t) = z*u(t) - 11*f(t). Solve x(j) = 0 for j.
0, 1
Let c(i) be the second derivative of -i**7/1680 + i**6/1440 + i**5/240 - i**4/96 + i**3/2 - i. Let u(b) be the second derivative of c(b). Factor u(x).
-(x - 1)*(x + 1)*(2*x - 1)/4
Suppose -5*a - 8 = -28. Factor 1/2*p**a - 2*p**3 + 3*p**2 + 1/2 - 2*p.
(p - 1)**4/2
Let n(g) be the second derivative of -1/24*g**4 + 0 - 4*g - 1/2*g**3 - 9/4*g**2. Suppose n(b) = 0. What is b?
-3
Let y(g) = -g**3 - 1. Let d(x) = -7*x**3 + x**2 - 2*x - 8. Let u(h) = 3*d(h) - 24*y(h). What is l in u(l) = 0?
-2, 0, 1
Let n(j) = -j**2 + 0*j + 3 - 1 - 4*j. Let w be n(-4). Suppose 2*r**4 + 0*r**4 - 4*r**4 - 2*r + w*r**3 + 2*r**2 = 0. Calculate r.
-1, 0, 1
Solve -106*v - 6*v**2 + 2*v**4 + 213*v - 103*v = 0.
-2, 0, 1
Let g(d) be the second derivative of d**7/7560 + d**4/4 - d. Let j(o) be the third derivative of g(o). Factor j(y).
y**2/3
Solve -1/6*h**2 + 0 + 1/6*h**4 - 1/6*h + 1/6*h**3 = 0.
-1, 0, 1
Let n(b) = -6*b**2 - 3*b. Let o be (2/3)/((-14)/(-105)). Let z = -13 + 14. Let c(j) = j**2 + j. Let p(m) = o*c(m) + z*n(m). Factor p(y).
-y*(y - 2)
Let o(t) be the second derivative of -t**8/4480 + t**7/1120 - t**6/960 + t**3/6 + 9*t. Let m(n) be the second derivative of o(n). Solve m(z) = 0 for z.
0, 1
Let m(i) be the second derivative of -1/9*i**3 + 0 + 1/3*i**2 - 1/10*i**5 - 5/18*i**4 - 8*i. Factor m(p).
-2*(p + 1)**2*(3*p - 1)/3
Let m(b) be the third derivative of 2*b**7/105 - b**6/15 - b**5/5 + 4*b**4/3 - 8*b**3/3 + 9*b**2. Factor m(n).
4*(n - 2)*(n - 1)**2*(n + 2)
Let b(j) be the second derivative of 0*j**2 + 9*j + 0*j**3 + 0 - 1/4*j**4 - 3/20*j**5. Factor b(s).
-3*s**2*(s + 1)
Let p be (-2)/(-2)*2/1. Factor -p*h + 21*h**3 + 7*h + 27*h**2 + h.
3*h*(h + 1)*(7*h + 2)
Suppose 1 - 5 = -4*r. Let p(q) be the first derivative of 0*q**2 - r + 0*q**3 - 1/2*q**4 + 0*q. Find b such that p(b) = 0.
0
Let p(c) be the third derivative of c**8/40320 - c**5/30 + 5*c**2. Let h(o) be the third derivative of p(o). Solve h(s) = 0 for s.
0
Factor -2*u**3 + 8/5*u - 2/5*u**4 - 12/5*u**2 + 16/5.
-2*(u - 1)*(u + 2)**3/5
Let r(g) = 2*g**4 - 2. Let d(j) = 4*j**4 - 5. Suppose 5*n - 3*b = -0 + 40, 2*n + 2*b = 0. Let l(u) = n*r(u) - 2*d(u). What is t in l(t) = 0?
0
Let c = 1465/4 - 366. What is m in -1/4*m**4 + c*m**3 - 1/2 + 3/4*m**2 - 1/4*m = 0?
-1, 1, 2
Let p(t) be the third derivative of -t**5/30 + t**3/3 + 37*t**2. Find c such that p(c) = 0.
-1, 1
Let p(g) = -3*g**2 - 8*g + 4. Let t(x) = 6*x**2 + 17*x - 7. Let z(n) = -7*p(n) - 4*t(n). Solve z(k) = 0 for k.
-4, 0
Let p = 116/15 - 37/5. Suppose -b - p*b**2 - 2/3 = 0. What is b?
-2, -1
Let g = 7/80 - -59/240. Solve g*q - 1/3*q**2 + 2/3 = 0.
-1, 2
Let r(n) be the third derivative of n**8/84 - 11*n**6/120 + 3*n**5/20 - n**4/12 - 33*n**2. Suppose r(l) = 0. What is l?
-2, 0, 1/2, 1
Let j(k) be the first derivative of 6 + 3/4*k**4 - 1/3*k**3 - k**2 + 0*k + 1/5*k**5 - 1/6*k**6. Solve j(c) = 0 for c.
-1, 0, 1, 2
Let c(x) be the second derivative of 1/3*x**3 + 0*x**4 + 0 + 7*x + 1/30*x**6 - 1/10*x**5 - 1/2*x**2. Suppose c(i) = 0. What is i?
-1, 1
Suppose -c + 3*c = -12. Let i = -4 - c. Factor -1 - 4*s + 2*s**2 - 2*s**2 - 4*s**i.
-(2*s + 1)**2
Let t = 48/43 - 7637/6880. Let z(p) be the third derivative of 0*p + 0*p**4 - 3*p**2 + t*p**6 + 0 + 0*p**3 - 1/80*p**5. Let z(w) = 0. What is w?
0, 1
Suppose 5*c - 94 = -2*n, n - 3*c - 120 = -2*n. Let s be 3/n + 3/6. Factor 10/7*t - s + 4/7*t**2 - 10/7*t**3.
-2*(t - 1)*(t + 1)*(5*t - 2)/7
Factor 2/9*q**3 + 0*q**2 + 0 + 0*q - 1/9*q**4.
-q**3*(q - 2)/9
Let z = 47/333 + 3/37. Let f = -24 - -28. Let 0*m + z*m**2 - 2/9*m**f + 0 - 2/9*m**5 + 2/9*m**3 = 0. What is m?
-1, 0, 1
Suppose -4*b + 10 = 138. Let g = 65/2 + b. Suppose 0*d + 0 - g*d**2 = 0. Calculate d.
0
Let n(w) be the third derivative of -w**7/70 - w**6/10 - w**5/4 - w**4/4 + 19*w**2. Determine l so that n(l) = 0.
-2, -1, 0
Let h(b) be the third derivative of -b**7/42 - b**6/12 - b**5/12 - 9*b**2. Let h(m) = 0. What is m?
-1, 0
Factor -4/5 + 2/5*p**2 + 2/5*p.
2*(p - 1)*(p + 2)/5
Let x = 26 + -23. Let i(k) be the second derivative of -1/9*k**4 + 1/15*k**6 + 0 + 3*k - 1/3*k**2 - 2/15*k**5 + 4/9*k**x. Suppose i(o) = 0. Calculate o.
-1, 1/3, 1
Suppose -3*t - 10 + 16 = 0. Suppose 0 = -4*p + 3*h + 4 - 2, -3*p + 2 = -t*h. Find l such that -6/5*l**3 + 2/5*l**4 + 6/5*l**p - 2/5*l + 0 = 0.
0, 1
Let u(d) = -5*d**4 + 4*d**3 + 11*d**2 - 6*d. Let w(o) = -5*o**4 + 3*o**3 + 12*o**2 - 7*o. Let h(n) = -3*u(n) + 4*w(n). Suppose h(m) = 0. Calculate m.
-2, 0, 1
Let v be -3 - 7/(7/(-3)). Let a(d) be the third derivative of 0*d**4 + 0*d**5 + 0*d**3 + 0*d + 1/840*d**8 + 2*d**2 + v + 0*d**7 + 0*d**6. Factor a(h).
2*h**5/5
Let b(f) = 12*f**3 - 8*f**2 - 9*f - 11. Let u(p) = p**3 - p**2 - p - 1. Let l(a) = -4*b(a) + 44*u(a). Determine g, given that l(g) = 0.
-2, -1, 0
Find p, given that -10*p**2 + 2*p**3 + 18*p**4 - 21*p**3 - 12*p**3 - 9*p**3 - 8 + 40*p = 0.
-1, 2/9, 1, 2
Suppose 5*z - 12 = 3*x + 9, 4*z - 22 = 5*x. Factor 2*k**2 + k**3 + 3*k - 6 - 4*k**z + 4.
-(k - 1)*(k + 1)*(3*k - 2)
Let p be ((-5)/35)/(5/(-15)). Suppose 0 + 3/7*c**3 + 6/7*c**4 + p*c**5 + 0*c**2 + 0*c = 0. Calculate c.
-1, 0
Factor -162*d + 25*d**3 - 6*d**4 - 76*d**5 + 7*d**3 + 108 + 36*d**2 + 78*d**5 - 10*d**4.
2*(d - 3)**3*(d - 1)*(d + 2)
Let o(q) be the first derivative of -3*q**4/20 - 2*q**3/5 - 3*q**2/10 + 10. Suppose o(j) = 0. Calculate j.
-1, 0
Let g be ((-16)/(-5))/(12/30). Let 8 + 3*i - g*i**2 - 2 + 2*i**2 + 3*i**2 = 0. What is i?
-1, 2
Let l(k) = k**3 - 6*k**2 + 6*k - 1. Let y be l(5). Let z be y/1 - (1 + 0). Factor -3*u**2 + 1 + 3*u**3 + u**2 - z*u + 4*u**4 + 0*u**2 - 3*u**2.
(u - 1)*(u + 1)**2*(4*u - 1)
Let t(a) be the second derivative of -1/2*a**2 + 0 + 11/12*a**3 - 2/3*a**4 - 7*a + 7/40*a**5. Let t(n) = 0. What is n?
2/7, 1
Let z(i) be the third derivative of i**7/1260 + i**6/270 - i**5/180 - i**4/18 - i**3/2 - 4*i**2. Let n(k) be the first derivative of z(k). Factor n(f).
2*(f - 1)*(f + 1)*(f + 2)/3
Let h(w) = w**3 + 3*w**2 - 5*w - 1. Let n be h(-4). Let t(v) be the first derivative of v**n + 1/4*v**4 + 2 + v + 3/2*v**2. Factor t(j).
(j + 1)**3
Let i(z) be the second derivative of z**5/30 + z**4/6 - z**3/9 - z**2 + 16*z. Find g such that i(g) = 0.
-3, -1, 1
Let g(x) = x**4 - 2*x**3 - 3*x**2 + 3*x - 1. Let p(b) = b**4 + b**2 - b + 1. Let k be 10/4*16/20. Let j = k + -3. Let n(f) = j*p(f) - g(f). Factor n(t).
-2*t*(t - 1)**2*(t + 1)
Let w(a) be the first derivative of -a**3 - 7/2*a**2 + a**5 + 7/4*a**4 - 2*a + 3. Suppose w(k) = 0. Calculate k.
-1, -2/5, 1
Let v(u) be the second derivative of 2*u**6/15 - 2*u**5/5 + 4*u**3/3 - 2*u**2 + 11*u. Suppose v(q) = 0. What is q?
-1, 1
Let m(o) be the third derivative of -o**9/4536 + o**8/2520 + o**7/1260 - o**6/540 + 2*o**3/3 - 3*o**2. Let b(v) be the first derivative of m(v). Factor b(u).
-2*u**2*(u - 1)**2*(u + 1)/3
Let o = 3 - -1. Suppose -o*r = -2*r. What is i in 0*i**2 + i**4 - 2*i**2 + r*i**4 + 2*i**4 + 4*i - 4*i**3 - 1 = 0?
-1, 1/3, 1
Let x(r) be the second derivative of -r**5/240 - r**4/24 - r**3/6 + 3*r**2/2 - 3*r. Let f(d) be the first derivative of x(d). Let f(v) = 0. Calculate v.
-2
Let s(k) = -8*k**2 + k**4 - 2 - 3*k**3 - 4*k + 0 + 1 + k**3. Let c(h) = 4*h**4 - 5*h**3 - 25*h**2 - 12*h - 3. Let z(l) = 6*c(l) - 21*s(l). Factor z(v).
3*(v + 1)**4
Let a be -1*(-6)/(-9) - (-33)/9. Let 0 + 1/3*h**5 + 0*h - 1/3*h**a + 0*h**4 + 0*h**2 = 0. What is h?
-1, 0, 1
Let o(r) be the first derivative of -r**4/8 + 3*r**2/4 - r + 22. Factor o(m).
-(m - 1)**2*(m + 2)/2
Let x(t) = -4*t**2 + 4*t - 2. Let q(m) = 9*m**2 + 5 + 8*m**2 - 9*m - 9*m**2. Let g(c) = -2*q(c) - 5*x(c). Solve g(f) = 0 for f.
0, 1/2
Suppose 0*k - 2*k = 0. Let i(n) be the second derivative of 0 + k*n**2 + 0*n**5 + 1/15*n**6 - 1/21*n**7 + 0*n**3 + 2*n + 0*n**4. Let i(z) = 0. Calculate z.
0, 1
Let x be (-2 - 1)*(-8)/6. Let a = x - 4. Find r, given that -1/5*r - 1/5*r**2 + a = 0.
-1, 0
Let n(c) = 2*c**3 - 4*c**2 + 2*c. Suppose -2*z + 5*z + 9 = 0. Let s(f) = -5*f**3 + 11*f**2 - 6*f. Let v(b) = z*s(b) - 8*n(b). Factor v(w).
-w*(w - 1)*(w + 2)
Suppose -2*m - 2*b = -12, -30 = 4*m - 9*m 