 0.
-62, -1
Let i be 15 - (-7 + 8 - -12). Factor -1/11*c**i + 0 + 2/11*c - 1/11*c**3.
-c*(c - 1)*(c + 2)/11
Let w be (6/(-4))/(-25*14/280). Let z(p) be the second derivative of -4/3*p**4 - 8/15*p**6 - p + 0 + 2/3*p**3 + w*p**5 + 2/21*p**7 + 0*p**2. Factor z(y).
4*y*(y - 1)**4
Let a(c) be the first derivative of -11*c**5/10 + 5*c**4/4 + c**3/6 - 423. Factor a(x).
-x**2*(x - 1)*(11*x + 1)/2
Let y(q) be the first derivative of 0*q**3 + 1/18*q**6 + 17 + 1/6*q**4 + 0*q + 1/5*q**5 + 0*q**2. Solve y(x) = 0 for x.
-2, -1, 0
Suppose 0 = -0*d + 3*d - 21. Suppose 4*w**2 + 2*w**2 - d*w**2 - w = 0. What is w?
-1, 0
Let c(k) = -k**3 - 28*k**2 + 28*k - 26. Let j be c(-29). Factor -4*v**4 - 16*v + 58*v**2 - 3*v**3 + 5*v**3 - 32 + 2*v**j - 34*v**2.
-4*(v - 2)**2*(v + 1)*(v + 2)
Let n(i) = i**3 - 7*i**2 + i + 1. Let s(d) = 2*d**3 - 8*d**2 - d + 1. Let o(r) = 2*n(r) - 2*s(r). Factor o(h).
-2*h*(h - 2)*(h + 1)
Let u(m) be the third derivative of 2*m**7/35 + 19*m**6/30 - 13*m**5/3 + 61*m**4/6 - 12*m**3 + 10*m**2. Find r such that u(r) = 0.
-9, 2/3, 1
Let w be 2/6 - (-32)/(-24). Let h be 3 + w + (3 - 3). Suppose -3*y - 3*y**2 - 2*y + h*y = 0. Calculate y.
-1, 0
Solve 5/12*x**2 - 1/3*x + 0 - 1/12*x**3 = 0 for x.
0, 1, 4
Let d = 87 - 84. Solve 7*p**d + 5*p**5 - 19*p**3 - 8*p**3 = 0.
-2, 0, 2
Let c(x) = 221*x**2 + 64*x. Let s = -19 - -22. Suppose -s*r - 4 + 7 = 0. Let g(h) = -h**2 + h - 1. Let p(i) = r*c(i) - 4*g(i). Solve p(w) = 0 for w.
-2/15
Factor 1/3*b**3 - 4 + 19/3*b - 8/3*b**2.
(b - 4)*(b - 3)*(b - 1)/3
Let r = 86 + -82. Let l(f) = f**3 - f**2 - f - 1. Let x(c) = 4*c**3 + 12*c**2 - 37*c - 9. Let g(d) = r*x(d) + 12*l(d). Find u, given that g(u) = 0.
-3, -2/7, 2
Let v = -16 + 20. Let -9*d**3 + d**v - d**3 + 10*d**3 = 0. What is d?
0
Let l = -352 - -352. Let w(r) be the third derivative of l + 5*r**2 + 0*r + 0*r**3 + 1/6*r**4 + 1/30*r**5. Factor w(p).
2*p*(p + 2)
Let j(w) be the second derivative of -1/45*w**3 - 30*w + 0*w**2 - 2/75*w**5 + 0 - 1/18*w**4. Factor j(n).
-2*n*(n + 1)*(4*n + 1)/15
Let s(t) be the second derivative of -1/48*t**4 + 3/80*t**5 - 22*t - 1/40*t**6 + 1/168*t**7 + 0*t**3 + 0 + 0*t**2. What is u in s(u) = 0?
0, 1
Let n = 1101 + -5504/5. Let c(m) be the second derivative of 4/3*m**4 + 0 + n*m**5 + 8*m + 0*m**2 + 8/3*m**3. Factor c(k).
4*k*(k + 2)**2
Let a be (-3)/(-3)*((-6)/3 - -5). Factor 9*j**4 + 43*j**3 - 40*j**a - 2*j**5 - 10*j**5.
-3*j**3*(j - 1)*(4*j + 1)
Let v(g) be the second derivative of g**5/390 - g**4/78 + g**3/39 - g**2 - 13*g. Let u(n) be the first derivative of v(n). Solve u(r) = 0.
1
Let k(y) = 2*y**3 - 1. Let v be k(-2). Let z = 71/4 + v. Determine x so that 0 - z*x**2 + 3/4*x = 0.
0, 1
Suppose 54 - 412*g**2 - 27*g**3 + 3*g + 165*g**4 + 24*g + 361*g**2 - 168*g**4 = 0. Calculate g.
-6, -3, -1, 1
Suppose -20*p + 21*p = -4*q - 6, -q + 4 = 3*p. Let k(n) be the second derivative of -n**3 + 0*n**4 - p*n**2 + n + 1/10*n**5 + 0. Factor k(i).
2*(i - 2)*(i + 1)**2
Let d be (-18)/72 + (-6)/(-8). Let x(a) be the first derivative of -1/3*a**3 + 0*a - 1 - d*a**2. Factor x(n).
-n*(n + 1)
Let d(a) = -a**2 - 91*a - 346. Let o be d(-4). Let 0 - 1/2*i**3 - 2*i**o - 2*i = 0. Calculate i.
-2, 0
Let o(f) = -f**2 - f - 1. Suppose -33 = -6*z - 5*z. Let v = 9 - 6. Let w(q) = 3. Let j(m) = v*w(m) + z*o(m). Solve j(d) = 0 for d.
-2, 1
Factor -8*w**2 + 16*w**2 + 14*w**2 + 4*w**3 + 20*w**2 + 6*w**2 + 200 + 180*w.
4*(w + 2)*(w + 5)**2
Let k(i) = -3*i + 21. Let z be k(5). Factor 7*l**2 + 13*l + 14*l - z*l + 18 + l**3 + l**2.
(l + 2)*(l + 3)**2
Let c be -18 + 15 - 1*-3. Let w(g) be the second derivative of -1/10*g**5 - 2*g - 1/60*g**6 + 0 - 5/24*g**4 + c*g**2 - 1/6*g**3. What is n in w(n) = 0?
-2, -1, 0
Let i(a) = 2*a**3 + 3*a**2 + 4*a + 14. Let v be i(-5). Let t = v + 727/4. Factor 0 + 0*r**2 + t*r**3 - r + 1/4*r**4.
r*(r - 1)*(r + 2)**2/4
Determine i, given that -49*i**2 + 6 + 116*i - 1250*i**4 + 717*i**2 + 366*i**3 - 500*i**5 + 594*i**3 = 0.
-3, -1/5, -1/10, 1
Let z(a) be the second derivative of -25/6*a**4 - 3*a**5 + 0 - a**6 - 5/2*a**3 - 5/42*a**7 + 0*a**2 - 28*a. Solve z(q) = 0.
-3, -1, 0
Find s such that -15/2*s**2 - 33/2*s + 1/2*s**3 - 17/2 = 0.
-1, 17
Let o be 692/(-1211) + 8/7. Factor o*p - 2/7*p**2 + 0 - 2/7*p**3.
-2*p*(p - 1)*(p + 2)/7
Let v = -3726 - -3731. Solve 0 - 12/5*q**3 - 72/5*q**4 + 0*q**2 + 0*q - 21*q**v = 0 for q.
-2/5, -2/7, 0
Let p be -4 + (-48)/(-14) + (-160)/14. Let b be (90/p)/(-5)*(-6)/(-15). Determine d, given that -9/5*d**2 + 9/5*d + b*d**3 - 3/5 = 0.
1
Let k = -162 + 166. Let h(g) be the first derivative of 0*g**2 + 0*g - k - 1/27*g**6 + 1/18*g**4 - 2/45*g**5 + 2/27*g**3. Factor h(r).
-2*r**2*(r - 1)*(r + 1)**2/9
Let v = 97 + -88. Suppose 11*p + v*p = 40. Factor -1/4*n**p - 1/4*n + 1/2.
-(n - 1)*(n + 2)/4
Let x(k) be the third derivative of -k**7/504 + k**6/36 - k**5/8 - k**4/3 + k**2. Let j(l) be the second derivative of x(l). Factor j(p).
-5*(p - 3)*(p - 1)
Let g(j) be the second derivative of 3*j**5/140 - 3*j**4/4 - 48*j**3/7 - 150*j**2/7 - 68*j + 2. Factor g(k).
3*(k - 25)*(k + 2)**2/7
Let p(u) = 2*u**3 + 8*u**2 + u + 1. Let x be p(-4). Let o be (x/2)/((441/12)/(-7)). Find h, given that -2/7*h**3 - 4/7*h**4 + 0*h**2 + 0 - o*h**5 + 0*h = 0.
-1, 0
Let m = 34 + -26. Let u be (-10)/(-4)*m/5. What is s in -6*s**u + 3*s**3 + 5*s**3 + 10*s**4 + 4*s**2 + 0*s**4 = 0?
-1, 0
Let m(d) be the second derivative of -7/18*d**4 - 5 - 1/63*d**7 + 0*d**2 - 1/9*d**6 - 3/10*d**5 + 4*d - 2/9*d**3. Determine x so that m(x) = 0.
-2, -1, 0
Let r(s) = -s**4 - 11*s**3 - 8*s**2. Let l(j) = j**4 + 23*j**3 + 17*j**2. Suppose 50 = -4*x - 6*x. Let d(t) = x*r(t) - 2*l(t). Factor d(k).
3*k**2*(k + 1)*(k + 2)
Let w(g) be the third derivative of -g**8/504 - g**7/315 + g**6/45 + 2*g**5/45 + 61*g**2. Let w(d) = 0. What is d?
-2, -1, 0, 2
Let u(t) be the first derivative of t**6/14 - 18*t**5/35 + 3*t**4/4 + 18*t**3/7 - 66*t**2/7 + 72*t/7 + 130. Find j, given that u(j) = 0.
-2, 1, 2, 3
Let l = 78 - 74. Factor 315*q**3 - 340*q**3 + 35*q**2 + 2*q - 17*q + 5*q**l.
5*q*(q - 3)*(q - 1)**2
Let t be (126/27)/(20/6). Let k = t + -1/15. Solve -4/3 + 4/3*n + k*n**2 - 4/3*n**3 = 0.
-1, 1
Let m(r) be the first derivative of -r**6/120 - r**5/10 - r**4/2 + 25*r**3/3 - 7. Let k(d) be the third derivative of m(d). Factor k(l).
-3*(l + 2)**2
Let l = 618 + -4325/7. Factor 3/7*m**2 - l*m**3 + 4/7*m - 12/7.
-(m - 3)*(m - 2)*(m + 2)/7
Let i(q) be the third derivative of -1/8*q**4 + 1/60*q**5 + 0*q + 0 + 11*q**2 + 1/3*q**3. What is a in i(a) = 0?
1, 2
Let z(k) be the second derivative of -3*k**7/28 + k**6/15 + 9*k**5/40 - k**4/6 + 22*k. Determine d so that z(d) = 0.
-1, 0, 4/9, 1
Let x(g) be the third derivative of -g**6/40 + g**5/4 - g**4/2 - 87*g**2. Factor x(u).
-3*u*(u - 4)*(u - 1)
Suppose 54*m - 5716*m**2 + 5714*m**2 + 6*m = 0. Calculate m.
0, 30
Let n(d) be the third derivative of d**5/20 + 29*d**4/2 - 205*d**2. Factor n(r).
3*r*(r + 116)
Suppose m - 3*b + 2 = 0, m + 2*m - 5*b = 10. Suppose -4*f - 10 = -4*w - 7*f, 4*f - m = -2*w. Find t, given that 1 - w - 46*t - 7*t**2 + 48*t = 0.
0, 2/7
Let j be (-133)/(-28) - (3/(-12))/1. Factor 19*c**2 + 3*c**4 - 6*c**4 + j*c**2 - 48.
-3*(c - 2)**2*(c + 2)**2
Let a(r) be the first derivative of 6 + 2/7*r**4 + 0*r - 6/35*r**5 + 2/7*r**3 + 1/42*r**6 - 9/14*r**2. What is c in a(c) = 0?
-1, 0, 1, 3
Let c(u) be the first derivative of u**5/4 - 5*u**4/4 + 5*u**3/3 - 9*u - 22. Let j(i) be the first derivative of c(i). Determine n so that j(n) = 0.
0, 1, 2
Let f(d) be the first derivative of d**5/20 + d**4/4 + d**3/2 - 6*d**2 + 8. Let k(o) be the second derivative of f(o). Factor k(x).
3*(x + 1)**2
Let r = -65 - -37. Let s be (8/r)/(1/(-7)). Find o such that -16*o**5 + 8/5*o**4 + 0 + 2/5*o + 51/5*o**3 + 19/5*o**s = 0.
-2/5, -1/4, 0, 1
Suppose 3*i = 5*n - 67, 26 = -n + 3*n - 2*i. Determine a, given that n*a + a - 3*a**2 + 0*a**2 - 14 - 3*a**3 + 5 = 0.
-3, 1
Let b be (-3)/5*-4*(-1 - -2). Let f(p) be the first derivative of 42/5*p**2 + b*p + 4 + 49/5*p**3. Let f(h) = 0. What is h?
-2/7
Let q be -3*(-4136)/60 + (-6)/(-30). Let d = -205 + q. Suppose -2 - 1/2*c**d - 2*c = 0. What is c?
-2
Let d be 3/(132/74) - (-156)/(-858). Suppose -1/2*n**4 + 0 - 3/2*n**2 + d*n**3 + 1/2*n = 0. Calculate n.
0, 1
Let f(y) be the third derivative of -y**7/420 - y**6/12