. What is c?
-6, 0
Let x be ((-115)/46)/((-2)/12). Suppose 4 = 16*p - x*p. Suppose p*v + 24/7*v**2 + 4/7 = 0. What is v?
-1, -1/6
Factor -2*q - 2/7*q**3 - 6/7 - 10/7*q**2.
-2*(q + 1)**2*(q + 3)/7
Suppose -2*b = -25 + 19. Let -35*p - 12*p**4 + 1588*p**3 - 45*p + 20*p - 1585*p**3 + 42*p**2 + b*p**5 + 24 = 0. What is p?
-2, 1, 2
Let f(l) = 3*l**3 + 163*l**2 - 13*l - 158. Let d(t) = 20*t**3 + 1060*t**2 - 84*t - 1028. Let a(i) = 5*d(i) - 32*f(i). Factor a(q).
4*(q - 1)*(q + 1)*(q + 21)
Let o(c) be the third derivative of -c**6/120 + 11*c**5/30 - 13*c**4/2 + 60*c**3 + 98*c**2. Determine f so that o(f) = 0.
6, 10
Let d(i) be the first derivative of -16/7*i - 12/7*i**3 - 3 - 40/7*i**2. Solve d(n) = 0 for n.
-2, -2/9
Let l(m) = 107*m - 3. Let u be l(-1). Let a = u + 110. Solve a - 12/7*d**3 - 2/7*d - 8/7*d**2 - 8/7*d**4 - 2/7*d**5 = 0 for d.
-1, 0
Let q(i) = -7*i**4 + 21*i**3 + 31*i**2. Let f(r) = -48*r**4 + 148*r**3 + 216*r**2. Let h(c) = -3*f(c) + 20*q(c). Find y such that h(y) = 0.
-1, 0, 7
Let d(u) be the second derivative of 2*u**6/75 + 4*u**5/25 - u**4/3 - 534*u. Solve d(s) = 0 for s.
-5, 0, 1
Let a(j) be the second derivative of -2*j**6/105 - j**5/35 + 16*j**4/21 - 40*j**3/21 + 5*j - 23. Factor a(x).
-4*x*(x - 2)**2*(x + 5)/7
Let y(x) be the second derivative of 41*x**7/21 - 27*x**6/5 + 39*x**5/10 + x**4/6 + 152*x. Solve y(n) = 0.
-1/41, 0, 1
Factor 1/3*c**3 + 0 - 23/3*c**2 + 0*c.
c**2*(c - 23)/3
Let i(b) be the first derivative of 2*b**3/15 - 11*b**2/5 + 12*b - 19. Factor i(s).
2*(s - 6)*(s - 5)/5
Let t(q) be the second derivative of q**6/10 + 12*q**5/5 + 13*q**4/4 - 15*q**3 - 46*q - 1. Determine p, given that t(p) = 0.
-15, -2, 0, 1
Let d = 8026 - 64199/8. Factor 3/8*q**2 + 0 - d*q.
3*q*(q - 3)/8
Let y(i) = -4*i**2 + 4*i + 24. Let s(v) be the first derivative of -v**3/3 + v**2/2 + 5*v - 14. Let j(p) = 16*s(p) - 3*y(p). Determine b so that j(b) = 0.
-1, 2
Determine g, given that -27 + 1/4*g**3 - 57/4*g**2 + 41*g = 0.
1, 2, 54
Factor 2/3*m**2 + 0 - 1/3*m**4 - 1/3*m**3 + 0*m.
-m**2*(m - 1)*(m + 2)/3
Solve -20*y**5 + 10*y**5 + 6*y**2 - 21*y + 11*y**5 - 2*y**4 - 28*y**3 - 52*y**2 = 0.
-3, -1, 0, 7
Let u(g) = g + 3. Let h be u(-3). Let v be -1 + 9 + ((-18)/(-8))/(111/(-296)). Factor 3/4*q**v + h + 1/2*q.
q*(3*q + 2)/4
Let a(v) = 18*v**4 - 24*v**3 + 26*v**2 + 5. Let i(d) = 116*d**4 - 156*d**3 + 168*d**2 + 32. Let t(c) = 32*a(c) - 5*i(c). Solve t(s) = 0.
0, 1, 2
Let l = 121/13494 - -2/519. Let n(x) be the third derivative of 7/156*x**4 + 0 + 2*x**2 + l*x**5 + 2/39*x**3 + 0*x. Suppose n(k) = 0. What is k?
-1, -2/5
Let m(l) be the third derivative of -121/18*l**3 + 0 + 0*l + 11/36*l**4 - 1/180*l**5 + 33*l**2. Determine b, given that m(b) = 0.
11
Let v(q) be the third derivative of -1/12*q**5 + 1/84*q**7 + 0 - 5*q**2 + 0*q + 0*q**4 + 0*q**3 + 7/144*q**6. Factor v(z).
5*z**2*(z + 3)*(3*z - 2)/6
Let w(f) be the second derivative of f**5/130 - f**4/39 - f**3/13 - 4*f - 1. Factor w(o).
2*o*(o - 3)*(o + 1)/13
Let q(f) be the third derivative of -f**6/56 - 3*f**5/140 + 14*f**2 - 3*f. Factor q(j).
-3*j**2*(5*j + 3)/7
Factor 2/13*l**2 - 116/13*l + 1682/13.
2*(l - 29)**2/13
Suppose -699 = 3*u - 714. Let s(r) be the first derivative of 1/30*r**u - 3 + 0*r**3 - 1/6*r**2 + 1/12*r**4 - 1/6*r. Factor s(v).
(v - 1)*(v + 1)**3/6
Let u(c) be the second derivative of c**8/840 + c**7/210 - c**6/60 + 7*c**3/6 + 7*c. Let o(s) be the second derivative of u(s). Suppose o(w) = 0. What is w?
-3, 0, 1
Let p(y) be the second derivative of 5/39*y**3 - 7/78*y**4 + 2/13*y**2 + 0 + 3*y. Factor p(b).
-2*(b - 1)*(7*b + 2)/13
Suppose -3*c + 9 = -12*y + 8*y, 39 = 13*c - 3*y. What is p in 18*p**c - 36/5*p + 15*p**4 + 12/5 - 33/5*p**2 = 0?
-1, 2/5
Let f = 931 - 927. Let n(o) be the second derivative of 1/12*o**f + 0 - 1/9*o**3 - 2*o - 1/60*o**5 + 0*o**2. Factor n(v).
-v*(v - 2)*(v - 1)/3
Let v(t) = -4*t**3 - 4*t**2 - 5. Let x = 122 - 142. Let j(d) = -d**3 - d**2 - 1. Let g(s) = x*j(s) + 4*v(s). Solve g(y) = 0.
-1, 0
Let w be -562*-3*(-4)/(-48). Let f = w + -140. Solve f*r**2 + 0 + r = 0 for r.
-2, 0
Let s(j) be the third derivative of -j**6/60 + j**5/6 - 7*j**4/12 + j**3 - 47*j**2 - 9. Factor s(o).
-2*(o - 3)*(o - 1)**2
Let y(j) be the third derivative of -j**8/1176 + 3*j**7/49 - 44*j**6/35 + 242*j**5/105 - 28*j**2 + 4*j. Factor y(l).
-2*l**2*(l - 22)**2*(l - 1)/7
Factor -4/7*g**2 + 16/7 + 2/7*g**3 - 8/7*g.
2*(g - 2)**2*(g + 2)/7
Let s(o) = -o - 5. Let r be s(0). Let b = -2 - r. Determine h, given that 3*h**5 - 3*h**b + 6*h**3 + 9*h**2 - 4*h - 2*h - 6*h**4 - 3*h**4 = 0.
-1, 0, 1, 2
Let o(s) = s**3 + 4*s**2 - 28*s - 13. Let h be o(4). Find j, given that 33/7*j**4 - 9/7*j**5 - 12/7*j**2 - 24/7*j**h + 0*j + 0 = 0.
-1/3, 0, 2
Let n be ((20/(-22))/(-10))/(4/8). Factor n*s**2 + 40/11*s + 200/11.
2*(s + 10)**2/11
Suppose -8*v = -11*v - 5*z - 10, 5*v - 5 = -4*z. Factor 8/9*d**3 + 2/9*d**v + 8/9*d**4 - 4/9*d**2 - 4/9 - 10/9*d.
2*(d - 1)*(d + 1)**3*(d + 2)/9
Let q(t) be the first derivative of 2*t**3/3 - 117*t**2 + 232*t - 682. Factor q(x).
2*(x - 116)*(x - 1)
Let h(t) be the third derivative of -t**8/2520 - 2*t**7/1575 + t**6/225 + t**5/225 - t**4/60 + 38*t**2. Solve h(i) = 0.
-3, -1, 0, 1
Let k(v) = 2*v**2 + 2*v - 2. Let m(w) = 44*w**2 + 12*w - 16. Let c(p) = -20*k(p) + m(p). Suppose c(g) = 0. What is g?
1, 6
Let r(z) = -12*z**3 - 44*z**2 - 38*z + 2. Let d(q) = 16*q**3 + 44*q**2 + 37*q - 3. Let i(t) = -2*d(t) - 3*r(t). Suppose i(p) = 0. What is p?
-10, -1, 0
Let k be (43 - 33)/((-12)/(-3)*-1)*-5. What is n in 9/2*n**3 - k*n**2 - 4 - 21*n = 0?
-1, -2/9, 4
Let o = -2213 - -2213. Let l(r) be the first derivative of o*r - 3/5*r**5 - 5*r**3 - 8 + 3*r**4 + 3*r**2. Suppose l(h) = 0. Calculate h.
0, 1, 2
Let m = -188 + 208. Let y be 2 + (-4)/m + (-39)/30. Let 0 - 5/2*p**3 + y*p + 2*p**2 = 0. Calculate p.
-1/5, 0, 1
Let l(n) = -10*n**2 - 40*n + 13. Let b(d) be the first derivative of -5*d**3/3 - 10*d**2 + 6*d + 33. Let k(t) = -13*b(t) + 6*l(t). Factor k(w).
5*w*(w + 4)
Suppose 33*g = 12*g. Let k(d) be the second derivative of 0*d**4 - 1/21*d**3 - 1/147*d**7 + 1/35*d**5 + g*d**2 + 0 + 5*d + 0*d**6. Factor k(b).
-2*b*(b - 1)**2*(b + 1)**2/7
Let m(d) = 18*d**2 + 51*d + 30. Let n(g) = g**3 - 16*g**2 - 51*g - 30. Let j(f) = 4*m(f) + 3*n(f). Factor j(l).
3*(l + 1)*(l + 2)*(l + 5)
Let c(j) be the third derivative of -j**9/60480 - j**8/3360 - j**7/1008 + 4*j**5/5 - 22*j**2. Let h(f) be the third derivative of c(f). Factor h(r).
-r*(r + 1)*(r + 5)
Suppose 0 + 3/4*u**4 - 7/4*u**2 - 7/4*u**3 + 3/4*u = 0. Calculate u.
-1, 0, 1/3, 3
Let s(i) be the first derivative of -21*i**4/8 + 9*i**3/2 + 9*i**2 - 6*i - 445. Determine v so that s(v) = 0.
-1, 2/7, 2
Determine a so that -21/2*a - 45 + 3/2*a**2 = 0.
-3, 10
Let w(i) = -i**3 + 10*i**2 - 9*i + 2. Let v be w(1). Factor -4*s - 2/5*s**v - 10.
-2*(s + 5)**2/5
Let w(i) be the first derivative of i**4/24 + 211*i**3/18 + 2756*i**2/3 - 5618*i/3 - 564. Factor w(g).
(g - 1)*(g + 106)**2/6
Let z(k) = 2*k**3 - 8*k**2 + 6*k - 12. Let b be z(3). Let c be b/(-18)*(-12)/(-16). Factor c*d**3 + 1 + 1/2*d**4 - 3/2*d**2 - 1/2*d.
(d - 1)**2*(d + 1)*(d + 2)/2
Let t(b) be the third derivative of -5*b**8/84 + 169*b**7/42 - 301*b**6/4 + 147*b**5/4 - 165*b**2 - 2*b. Suppose t(k) = 0. What is k?
0, 1/4, 21
Let p(b) = b**2 - b + 1. Let v = 257 - 381. Let y = v - -80. Let d(w) = 8*w**3 + 20*w**2 - 30*w + 24. Let x(u) = y*p(u) + 2*d(u). Factor x(o).
4*(o - 1)*(o + 1)*(4*o - 1)
Let r(m) be the first derivative of m**4 - 8*m**3 - 26*m**2 + 168*m + 118. Solve r(g) = 0 for g.
-3, 2, 7
Suppose 64*m + 20 = 60*m + 4*x, -5 = 4*m - x. Suppose -3/8*w**4 + 0*w + 3/8*w**3 + m + 3/4*w**2 = 0. What is w?
-1, 0, 2
Let s(a) be the third derivative of -a**5/60 - 19*a**4/24 - 36*a**2 + 3*a. What is g in s(g) = 0?
-19, 0
Let f(b) be the third derivative of -b**8/1512 + b**7/189 - 7*b**6/540 + b**5/90 + 106*b**2. Suppose f(x) = 0. What is x?
0, 1, 3
Let t(o) be the second derivative of 20*o**4/21 + 27*o**3/7 + 2*o**2/7 + 181*o. Factor t(y).
2*(y + 2)*(40*y + 1)/7
What is t in -2*t**4 - 6*t**3 - 7*t + 28*t - t**4 + 15*t**2 - 3*t = 0?
-3, -1, 0, 2
Let k(i) be the third derivative of 0 + 1/48*i**4 + 0*i + 1/8*i**3 - 1/48*i**5 + 12*i**2. Factor k(g).
-(g - 1)*(5*g + 3)/4
Solve 0 - 8*s**2 - 24*s - 2/3*s**3 = 0 for s.
-6, 