**3 - 7 + 4*k**3 = 0.
-2, 2
Let l = -147 - -152. Suppose -4*a + 45*u = 44*u - l, -14 = -a - 4*u. Solve 0*c + 0 + 3/2*c**a = 0 for c.
0
Let j(t) be the second derivative of -t**4/66 - 460*t**3/33 - 52900*t**2/11 + 4*t + 8. Factor j(a).
-2*(a + 230)**2/11
Let f(x) be the third derivative of -x**8/7560 + x**7/1260 + x**3/2 - 24*x**2. Let r(l) be the first derivative of f(l). Factor r(n).
-2*n**3*(n - 3)/9
Suppose -5*a + 8 = -7. Factor -15*k**2 + 9*k**2 - 3*k**a + 3*k**2.
-3*k**2*(k + 1)
Suppose 0 = 4*d - 41 + 1. What is l in 26*l**2 - 16 + 2*l**2 + l - 39*l - d*l = 0?
-2/7, 2
Let c(q) be the first derivative of -q**7/1120 - q**6/48 - q**5/5 - q**4 + 12*q**3 - 30. Let j(z) be the third derivative of c(z). Find p, given that j(p) = 0.
-4, -2
What is o in -6*o**3 + 7*o**3 + 3*o**4 + 45*o**2 - 7*o**3 - 24*o - 15*o**3 - 3*o = 0?
0, 1, 3
Let b(a) be the third derivative of a**5/12 - 455*a**4/24 - 155*a**3 - 2*a**2 + 33. Factor b(n).
5*(n - 93)*(n + 2)
Suppose -9 = 3*k, 5*c - 127 = -0*k + 4*k. Factor c - g**2 - g**3 - 23.
-g**2*(g + 1)
Let x(c) be the second derivative of c**4 - 20*c**3/3 - 16*c**2 - 71*c - 2. Factor x(i).
4*(i - 4)*(3*i + 2)
Let z(k) be the third derivative of -k**5/20 - k**4/2 - 2*k**3 - 3*k**2 + 7. Suppose z(q) = 0. What is q?
-2
Let o = 1280 - 1278. Let z(t) be the first derivative of 1/16*t**4 + 0*t - 1/6*t**3 + 3 + 1/8*t**o. Determine a, given that z(a) = 0.
0, 1
Let a(o) be the second derivative of o**7/21 - 13*o**6/15 + 41*o**5/10 - 47*o**4/6 + 6*o**3 - 330*o. Determine y, given that a(y) = 0.
0, 1, 2, 9
Let a(q) be the third derivative of q**6/660 - q**5/110 + q**4/66 + 132*q**2. Find n, given that a(n) = 0.
0, 1, 2
Let r = 131 + -653/5. Determine l, given that 0 - 2/5*l**2 + r*l**4 - 2/5*l**3 + 0*l + 2/5*l**5 = 0.
-1, 0, 1
Let g(d) = -15*d**3 + 8*d**2 - 7*d + 7. Let c(s) = -7*s**3 + 4*s**2 - 3*s + 3. Let k(o) = 7*c(o) - 3*g(o). Factor k(p).
-4*p**2*(p - 1)
Let j(i) be the third derivative of -1/15*i**5 + 0*i - 4*i**4 - 2/105*i**7 - i**2 + 1/5*i**6 + 0 - 32/3*i**3. Find o such that j(o) = 0.
-1, 4
Let a = 40 - 23. Let o(c) = -12*c**2 - a*c**2 + 30*c**2. Let s(y) = -4*y**2 - y + 2. Let d(z) = 3*o(z) + s(z). Factor d(n).
-(n - 1)*(n + 2)
Let a be 330/11*(0 + (-12)/9). Let x be (14/a)/(22/(-1232)). Solve 84/5*z + 18/5 + x*z**2 = 0.
-3/7
Let b(o) = -o**2 - 9*o - 11. Let n be b(-6). Factor -25*a**2 - 35*a - 4 - n - 4 - 5*a**3 + 0.
-5*(a + 1)**2*(a + 3)
Suppose 0 = -5*q + 15, -2*m - 3*q = -7*q + 6. Let w(n) be the first derivative of 8 + 5/6*n**4 - 4*n**2 + 8/3*n + 2/3*n**m. Suppose w(i) = 0. What is i?
-2, 2/5, 1
Let h(n) be the first derivative of n**5/40 + 15*n**4/16 - 3*n**3/2 - 79*n**2/8 - 93*n/8 - 440. Determine p so that h(p) = 0.
-31, -1, 3
Let h(v) be the second derivative of v**5/30 + v**4/6 - v**3 - 3*v**2 - 4*v. Let y(k) be the first derivative of h(k). Factor y(m).
2*(m - 1)*(m + 3)
Let 36 - 25*a + 68*a + 6*a**2 - 2*a**4 - 18*a**3 + 15*a = 0. Calculate a.
-9, -1, 2
Let f(h) be the second derivative of 12*h**5/5 - 54*h**4 + 825*h**3/2 - 1875*h**2/2 + 189*h - 1. Determine n so that f(n) = 0.
1, 25/4
Let a(x) be the third derivative of x**7/1260 - x**6/720 - x**5/120 + x**4/144 + x**3/18 - 5*x**2 - 21. Factor a(q).
(q - 2)*(q - 1)*(q + 1)**2/6
Factor 135*i + 2 - 2657*i**2 + 8 + 2512*i**2.
-5*(i - 1)*(29*i + 2)
Solve -19*k**3 + 16*k**2 + 24*k + 4*k**2 + 23*k**3 = 0 for k.
-3, -2, 0
Suppose 0 = -15*p - 778 + 823. Factor 0 - 14/19*x**p + 6/19*x**4 + 4/19*x**2 + 0*x.
2*x**2*(x - 2)*(3*x - 1)/19
Let s = 170 - 166. Let v(k) be the third derivative of 0*k**s + 0*k + 1/60*k**5 + 8*k**2 + 0 - 1/6*k**3. Factor v(l).
(l - 1)*(l + 1)
Let j be (-282)/94 - 69/(-15). Suppose 12/5*l + 8/5*l**2 + 4/5*l**5 - j + 0*l**4 - 16/5*l**3 = 0. What is l?
-2, -1, 1
Solve 35*y + 5/4*y**2 + 245 = 0.
-14
Let i be 2/(-7) + (-192)/(-84). Suppose 4*a - 4 = 2*a. Suppose -3*s**2 + 4*s**2 + a*s**i + 0*s**2 = 0. Calculate s.
0
Suppose -k = -404 + 401. Suppose -2/3*f - 4/3*f**2 + 0 - 2/3*f**k = 0. What is f?
-1, 0
Let n = -4/435 - 4172/435. Let u = -187/20 - n. Factor -u*f**3 - 3/4*f + 1/4 + 3/4*f**2.
-(f - 1)**3/4
Let k(l) be the first derivative of -8*l**6/27 + 16*l**5/15 + 25*l**4/3 - 32*l**3/27 - 38*l**2/3 - 8*l - 143. Solve k(z) = 0.
-3, -1/2, 1, 6
Factor -7585*h - 436 + 2*h**3 - 13254 - 3*h**3 - 24*h**2 - 356*h**2 - 4*h**3.
-5*(h + 2)*(h + 37)**2
Let h(i) = -845*i - 845. Let z be h(-1). Suppose -3/2*g**4 + 3/4*g**5 + 0*g**3 + 3/2*g**2 - 3/4*g + z = 0. What is g?
-1, 0, 1
Suppose -73*n = -127 - 165. Let a(v) be the first derivative of 0*v + 0*v**3 - 36/5*v**5 + 0*v**2 - 1 + 2*v**n + 14/3*v**6. Find b such that a(b) = 0.
0, 2/7, 1
Suppose 7*o - 1997 = -1976. Let 2/11*j**o + 0 - 2/11*j**2 + 0*j = 0. Calculate j.
0, 1
Let d(a) be the first derivative of 3*a**5/25 + 9*a**4/20 - a**3/5 - 9*a**2/10 - 250. Find g such that d(g) = 0.
-3, -1, 0, 1
Let d(h) be the third derivative of -h**7/16380 - h**6/585 - h**5/65 + h**4/8 + 5*h**2. Let o(m) be the second derivative of d(m). Factor o(f).
-2*(f + 2)*(f + 6)/13
Let g be 4/((-64)/(-36))*-8. Let h = g - -21. Suppose 5*i**h - 2*i - i**2 - 3*i**3 + i**4 + 0*i**3 = 0. What is i?
-2, -1, 0, 1
Find k, given that -216/17*k + 82/17*k**4 - 12/17*k**5 + 48/17*k**3 - 56/17 - 206/17*k**2 = 0.
-1, -2/3, -1/2, 2, 7
Let l be 6/150*-5 + (-3109)/(-20). Let s = l - 155. Factor 0*q**3 + 0*q - 1/2*q**2 + s + 1/4*q**4.
(q - 1)**2*(q + 1)**2/4
Suppose -3/2*b**4 - 9/4*b**2 + 3/8*b + 0 + 27/8*b**3 = 0. What is b?
0, 1/4, 1
Determine t, given that -2/5*t**3 + 2/5*t**2 + 0 + 0*t = 0.
0, 1
Let k(i) be the second derivative of i**4/6 + 30*i**3 + 2025*i**2 + 87*i. Suppose k(l) = 0. What is l?
-45
Let y be -3 + (-56)/(-21) + (-17)/(-15). Let j(r) = 2*r**2 - 3*r. Let o be j(2). Factor -2/5*s + 0*s**3 - 4/5*s**o + y*s**4 + 0 + 2/5*s**5.
2*s*(s - 1)*(s + 1)**3/5
Let s be -1 + (1989/(-91))/(-9). Factor 2/7*r**3 - 6/7*r**2 - 4/7 - s*r + 2/7*r**4.
2*(r - 2)*(r + 1)**3/7
Let k(t) be the third derivative of t**6/420 + t**5/42 - t**4/14 + 3*t**2 + 16. Factor k(z).
2*z*(z - 1)*(z + 6)/7
Let l(d) = -d**4 + d**3 + d**2. Let b(t) = -t + 6. Let h be b(3). Let c(z) = -9*z**3 - 3*z**2 + 6*z + 3. Let g(v) = h*l(v) + c(v). Suppose g(s) = 0. What is s?
-1, 1
Suppose 0 = 2*d - 3*d + m + 1, m + 5 = 3*d. Let c(w) be the first derivative of -5 - 1/20*w**4 - 3/2*w**d - 9/5*w - 7/15*w**3. Factor c(u).
-(u + 1)*(u + 3)**2/5
Let c = -230 - -221. Let b = c - -11. Factor 8/5*j + 16/5*j**b + 2*j**3 + 2/5*j**4 + 0.
2*j*(j + 1)*(j + 2)**2/5
Let i(t) be the third derivative of t**7/1050 - 7*t**6/600 + t**5/60 + 7*t**4/120 - t**3/5 - 101*t**2. Let i(g) = 0. Calculate g.
-1, 1, 6
Let o(u) be the second derivative of 10*u**7/21 + 19*u**6/6 + 11*u**5/4 - 5*u**4/3 + 94*u. Determine a, given that o(a) = 0.
-4, -1, 0, 1/4
Let y(l) be the third derivative of 5*l**8/672 - l**7/30 - 43*l**6/240 - l**5/5 - 2*l**2 + 169*l. Factor y(b).
b**2*(b + 1)**2*(5*b - 24)/2
Let c = 1639 - 8194/5. Factor -1/5*w**5 - c*w**4 + 0 + 0*w + 1/5*w**3 + 1/5*w**2.
-w**2*(w - 1)*(w + 1)**2/5
Suppose 3*y + 28 = -k, -4*y + 3*k = -0*y + 46. Let x = y + 12. Factor -2*a - x*a**2 - 10 + 10.
-2*a*(a + 1)
Factor -48 - 21*m**2 + 7*m**2 - 48*m**3 + 3*m**2 + 76*m - 17*m**2 + 36*m.
-4*(m + 2)*(3*m - 2)*(4*m - 3)
Let k(h) be the second derivative of -5*h**5/4 + 215*h**4/12 - 60*h**3 - 90*h**2 + 2*h + 25. Factor k(j).
-5*(j - 6)*(j - 3)*(5*j + 2)
Let g(v) be the third derivative of v**8/3360 + v**7/630 - v**6/45 + 4*v**4/3 + 31*v**2. Let n(w) be the second derivative of g(w). Find t such that n(t) = 0.
-4, 0, 2
Let k(w) be the third derivative of 1/180*w**5 + 0*w + 0 + 32*w**2 + 1/18*w**3 - 1/36*w**4. Solve k(y) = 0 for y.
1
Suppose -12*c + 50 = -7*c. Determine x so that c - 10*x + 20*x**2 - 20*x + 5*x - 5*x**3 = 0.
1, 2
Let h be (-3)/6*(-2 + 2). Let o(k) = -2*k. Let g be o(h). Factor 2/5*j**2 + g*j - 2/5.
2*(j - 1)*(j + 1)/5
Let c be ((-10)/280*7)/(-1). Solve -c*i**2 + 0*i + 0 = 0.
0
Let m(k) be the first derivative of 7*k**5/5 + 39*k**4 + 331*k**3/3 + 111*k**2 + 40*k + 239. Factor m(a).
(a + 1)**2*(a + 20)*(7*a + 2)
Let c(i) be the second derivative of i**6/210 + i**5/20 + i**4/7 - 2*i**3/21 - 8*i**2/7 + 37*i. Solve c(x) = 0.
-4, -2, 1
Factor 24/7*f**4 - 8/7*f**5 + 0*f + 4/7*f**2 + 0 - 18/7*f**3.
-2*f**2*(f - 2)*(2*f 