n that s(p) = 0.
-1, 0
Let g(i) = 4*i**4 + 83*i**3 + 85*i**2 - 3*i + 3. Let s(z) = 3*z**4 + 83*z**3 + 84*z**2 - 2*z + 2. Let t(r) = 2*g(r) - 3*s(r). Find m, given that t(m) = 0.
-82, -1, 0
Let k(g) = g**3 - 21*g**2 + 94*g + 84. Let x be k(8). What is c in x*c + 8/7 - 36/7*c**2 = 0?
-2/9, 1
Let i(m) be the first derivative of -4*m**5/5 + 65*m**4/4 + 476*m**3/3 + 669*m**2/2 - 198*m + 399. Factor i(r).
-(r - 22)*(r + 3)**2*(4*r - 1)
Let a(d) be the third derivative of -14*d**2 + 32/9*d**3 + 0 + 0*d + 4/9*d**4 + 1/45*d**5. Find u, given that a(u) = 0.
-4
Let r be 3 + 0*6/12*1. Let l(i) be the third derivative of 0*i + r*i**2 + 1/48*i**4 + 0*i**3 - 1/240*i**6 + 0 + 0*i**5. Find x such that l(x) = 0.
-1, 0, 1
Let x(h) be the second derivative of -25*h**2 - 18*h - 1/6*h**4 + 0 - 10/3*h**3. Suppose x(v) = 0. Calculate v.
-5
Let n be ((-2)/(-6))/(91/819). Let h(o) be the third derivative of 0*o + o**2 - 7/30*o**5 + 2/3*o**n + 5/12*o**4 + 0. Determine q so that h(q) = 0.
-2/7, 1
Let h(g) = -g**2 + 5*g + 10. Let s be h(6). Factor -4*d**s - 4*d**5 - 4*d**3 - 4*d**4 + 0*d**4.
-4*d**3*(d + 1)**2
Let n = -526 + 531. Let s(k) be the first derivative of -3/2*k**2 + 0*k + 3/4*k**4 - k**3 + 3/5*k**n - 5. Find y such that s(y) = 0.
-1, 0, 1
Let z(f) be the second derivative of 2/15*f**6 + 0*f**3 - 13*f - 1/5*f**5 + 0*f**2 + 0*f**4 + 0. Determine w so that z(w) = 0.
0, 1
Let j(f) = f**3 - f**2 - 2*f + 3. Let h be j(3). Factor 51*w**4 - 11*w**3 + h*w**2 - 6*w - 48*w**4 - w**3.
3*w*(w - 2)*(w - 1)**2
Let l = -2/79 + 109/1185. Let y(a) be the second derivative of -1/10*a**5 + 0*a**2 + 0*a**3 + 1/6*a**4 + 0 - l*a**6 + 6*a + 1/21*a**7. Factor y(w).
2*w**2*(w - 1)**2*(w + 1)
Let d(n) be the third derivative of 13*n**2 + 0*n**4 + 0*n**3 + 0 + 0*n - 1/210*n**6 - 1/210*n**5 - 1/735*n**7. Let d(b) = 0. Calculate b.
-1, 0
Let d(g) = 4*g + 3*g**2 + 37*g**3 - g - 41*g**3 - 7*g**2. Let z(j) = 8*j**3 + 8*j**2 - 5*j. Let r(s) = -5*d(s) - 3*z(s). Let r(w) = 0. Calculate w.
-1, 0
Suppose -l - 25 - 11 = 0. Let f be 2/(-12) + (-78)/l. Find x such that -28/5*x**f + 69/5*x**3 + 0 + 4/5*x + 5*x**5 - 14*x**4 = 0.
0, 2/5, 1
Let d(r) = 4*r**2 + 55*r - 1. Let o(p) = 2*p**2 + 32*p. Let h(y) = 3*d(y) - 5*o(y). Let h(n) = 0. Calculate n.
-3, 1/2
Let p(z) be the second derivative of -2*z**6/15 - z**5 - 2*z**4/3 + 40*z**3/3 + 48*z**2 + 367*z. Suppose p(j) = 0. What is j?
-3, -2, 2
Let d = 4253 - 4253. Factor d - 70/3*j**4 + 0*j - 8/3*j**2 - 52/3*j**3 + 49/3*j**5.
j**2*(j - 2)*(7*j + 2)**2/3
Let z(y) = y**2 + 10*y - 3. Let r be z(-10). Let o be (-2 + 4)*r/(-2). Determine h, given that 2/5*h**o + 1/5*h**4 + 0*h - 1/5*h**5 + 0 + 0*h**2 = 0.
-1, 0, 2
Let f(i) be the second derivative of -27/10*i**3 + 1/20*i**5 - 3/20*i**4 + 1/150*i**6 - 34*i - 54/5*i**2 + 0. Determine w so that f(w) = 0.
-3, 4
Let o(l) be the second derivative of -l**5/5 + 2*l**4/3 + 22*l**3/3 - 24*l**2 - 2*l + 448. Let o(m) = 0. What is m?
-3, 1, 4
Factor -4/3*y**3 + 48*y**2 - 2888/3 - 380*y.
-4*(y - 19)**2*(y + 2)/3
Let v(y) be the first derivative of y**4/2 - 52*y**3/3 + 192*y**2 - 576*y - 244. Find o, given that v(o) = 0.
2, 12
Let t be (-10)/(-140)*4*(1 + (-36)/57). Factor 0*z + 0 + 0*z**2 + 2/19*z**3 + t*z**5 + 4/19*z**4.
2*z**3*(z + 1)**2/19
Let d be 0 - (-2)/(48/(-138)). Let h = -9/2 - d. Solve 25/8*x**2 - h*x + 1/8 = 0 for x.
1/5
Let q(w) be the third derivative of -w**6/90 + 32*w**5/45 - 128*w**4/9 + 8*w**2 + 31. Factor q(x).
-4*x*(x - 16)**2/3
Let y(u) be the second derivative of -2*u + 0 + 3/50*u**5 + 0*u**2 - 1/105*u**7 + 2/15*u**3 - 1/75*u**6 + 1/6*u**4. Find t such that y(t) = 0.
-1, 0, 2
Let b(a) be the third derivative of 0 - 16/3*a**3 + a**2 - 7/3*a**4 + a - 1/3*a**5. Let b(u) = 0. What is u?
-2, -4/5
Let f(m) be the first derivative of -m**3/2 + 6*m**2 + 27*m/2 - 113. Find l, given that f(l) = 0.
-1, 9
Let i = -7742 + 7746. Factor 4/3*a**4 + 4*a - i*a**3 + 4/3*a**2 - 8/3.
4*(a - 2)*(a - 1)**2*(a + 1)/3
Let g(k) be the second derivative of k**6/180 - k**5/5 + 55*k**4/24 - 121*k**3/18 + 192*k. Suppose g(z) = 0. Calculate z.
0, 2, 11
Let i(b) = b**3 - 4*b**2 - 9*b - 34. Let y(j) = j**2 + 1. Let f(r) = 4*i(r) + 28*y(r). Factor f(d).
4*(d - 3)*(d + 3)**2
Let d = 88 + -58. Find i, given that 26*i - d*i - i**4 - 4*i**4 + 3*i**4 + 6*i**2 = 0.
-2, 0, 1
Let g = 157/21 - 145/21. Suppose -g*z + 6/7 - 2/7*z**2 = 0. What is z?
-3, 1
Let x(s) be the second derivative of s**8/13440 + s**7/2520 + 19*s**4/6 + 31*s. Let h(p) be the third derivative of x(p). Factor h(q).
q**2*(q + 2)/2
Suppose 12*k**2 - 9 - 12*k**3 + 3*k**3 + 13*k**3 - 7 = 0. What is k?
-2, 1
Let z(b) = b**2 + 41*b - 176. Let l be z(-45). Let o be 20/21 - 4/14. What is u in -2/9*u**l - 2/9*u - 2/3*u**2 + 0 - o*u**3 = 0?
-1, 0
Let b be (-6)/12*(-4 + (-96)/(-28)). Suppose 0*x - b*x**2 + 0 + 2/7*x**3 = 0. What is x?
0, 1
Solve 0 + 0*b**3 + 1/6*b**4 + 0*b - 2/3*b**2 = 0 for b.
-2, 0, 2
Let n = -559 + 564. Factor -2/9*m**n - 26/9*m**3 - 8/9*m + 8/3*m**2 + 0 + 4/3*m**4.
-2*m*(m - 2)**2*(m - 1)**2/9
Let m be (189/(-70))/(15/(-10)). Suppose 42/5*p + 49/5*p**2 + m = 0. What is p?
-3/7
Let t(p) be the first derivative of p**5/2 - 231*p**4/4 + 363*p**3/2 - 203*p**2 + 90*p + 314. Solve t(n) = 0 for n.
2/5, 1, 90
Let m(p) be the second derivative of -p**5/30 + 2*p**4/3 - 7*p**3/3 + 10*p**2/3 - 5*p - 4. Solve m(b) = 0 for b.
1, 10
Let g be 6784/224 + (1 - (-9)/(-7)). Let p be (g/25)/(63/70). Factor -16/3*f**3 - 4*f**4 + 0*f - p*f**2 + 0.
-4*f**2*(f + 1)*(3*f + 1)/3
Let d(g) = 3*g**2 - 2*g + 2. Let b be d(1). Solve 0*u**4 + 53*u**2 - 38*u**b + 4 - 28*u + 0 + 9*u**4 = 0 for u.
2/9, 1, 2
Let t(l) be the third derivative of -40*l**7/21 + 43*l**6/3 - 2089*l**5/60 + 43*l**4/2 - 6*l**3 - 11*l**2 + 12*l. Factor t(y).
-(y - 2)**2*(20*y - 3)**2
Let v(n) be the first derivative of 1/4*n**2 - 1 + 1/6*n**3 + 0*n. Factor v(z).
z*(z + 1)/2
Suppose -4*q - 5*i - 86 + 26 = 0, -i + 84 = -4*q. Let n be (q/50)/((-1)/10). What is c in -4*c + 0*c**2 - n*c**2 - 6*c - 4 + 2*c = 0?
-1
Let l(c) = -c**2 + c - 50. Let y be l(0). Let q = 0 - y. Let -31*k**3 - 44*k**3 + 10*k**5 - q*k**2 - 6*k**4 - 12*k + 21*k**3 = 0. Calculate k.
-1, -2/5, 0, 3
Let z(h) = -4*h**5 + 6*h**4 - 23*h**3 + 24*h**2 + 20*h - 9. Let y(m) = -m**5 + 2*m**4 + 1. Let t(n) = -21*y(n) + 3*z(n). Let t(o) = 0. What is o?
-2, -1, 2/3, 1, 4
Suppose 23*m - 39 = -37 + 90. Factor -9/5*f**2 - 3/5*f**m + 0 - 9/5*f**3 - 3/5*f.
-3*f*(f + 1)**3/5
Let j(i) be the third derivative of -i**8/17640 - i**7/4410 - i**6/2520 + 17*i**5/20 + 41*i**2. Let h(f) be the third derivative of j(f). Factor h(c).
-2*(2*c + 1)**2/7
Let x(v) = 4*v + 12. Let y be x(-8). Let o = -18 - y. Factor l**3 - 14*l**2 - o*l**3 + 13*l**2.
-l**2*(l + 1)
Let y(p) be the second derivative of -p**4/42 - 47*p**3/21 - 90*p**2/7 - 272*p. Factor y(j).
-2*(j + 2)*(j + 45)/7
Let a(z) be the second derivative of z**7/168 + z**6/12 + z**5/2 + 5*z**4/3 + 10*z**3/3 + 4*z**2 - 16*z - 1. Find n, given that a(n) = 0.
-2
Let u = 30365 + -30362. Find n, given that 14/13*n**4 + 0 + 4/13*n**2 + 14/13*n**u + 4/13*n**5 + 0*n = 0.
-2, -1, -1/2, 0
Let l(j) = -93*j + 188. Let q be l(2). Factor 12/7 - 6/7*f**2 + q*f.
-2*(f - 3)*(3*f + 2)/7
Let u(r) be the second derivative of -2*r**7/63 - 2*r**6/45 + 2*r**5/15 + 2*r**4/9 - 2*r**3/9 - 2*r**2/3 + 2*r + 39. Suppose u(g) = 0. What is g?
-1, 1
Let q(o) be the first derivative of 3*o**5/40 - 13*o**4/32 + 11*o**3/24 + 5*o**2/16 - 3*o/4 - 146. Factor q(x).
(x - 3)*(x - 1)**2*(3*x + 2)/8
Let a = 586 - 584. Let n(b) be the first derivative of -1/4*b**a - 10 + 0*b + 7/12*b**3. Suppose n(z) = 0. Calculate z.
0, 2/7
Let a be (-6)/(-8)*(11 - 7). Let h be (-21)/(-8) - (-6)/16. Suppose -8*g**5 - 5*g**4 - h*g**5 + g**5 - 3*g + 20*g**a + 10*g**2 - 7*g - 5 = 0. Calculate g.
-1, -1/2, 1
Let i(x) = 10*x**3 - 27*x**2 - 13*x + 99. Let o(c) = -12*c**3 + 28*c**2 + 12*c - 100. Let h(n) = 4*i(n) + 3*o(n). Find y, given that h(y) = 0.
-2, 2, 6
Let m(p) be the second derivative of p**8/1680 - p**7/1050 - 3*p**2 + 11*p. Let c(j) be the first derivative of m(j). Determine h so that c(h) = 0.
0, 1
Suppose -51 = 3*p - 63. Solve 10*z**2 + 9*z**5 - 8*z**p + 0*z**3 - 4*z**3 - 2*z**2 - 5*z**5 = 0 for z.
-1, 0, 1, 2
Determine y, given that 1 - 2*y**3 + 5/2*y + y**2 - 2*y**4 - 1/2*y**5 = 0.
-2, -