*t - 2)
Let n(z) be the first derivative of -78961*z**5/25 + 79523*z**4/10 - 27071*z**3/5 + 566*z**2/5 - 4*z/5 - 23. Solve n(u) = 0 for u.
2/281, 1
Factor -33 + 5*i**2 + 7*i**2 - 12*i**3 + 4*i**5 - 8*i**4 + 4*i**2 + 16*i + 33.
4*i*(i - 2)**2*(i + 1)**2
Let g(b) = -3*b**2 - 12*b - 6. Suppose -25 = 3*o - 16. Let q(k) = k**3 + 6*k**2 + 23*k + 11. Let a(p) = o*q(p) - 7*g(p). Solve a(v) = 0.
-1, 3
Let z(t) = -6*t**4 + 39*t**3 - 223*t**2 + 361*t - 176. Let k(g) = 7*g**4 - 37*g**3 + 222*g**2 - 362*g + 176. Let o(f) = 5*k(f) + 6*z(f). Factor o(p).
-(p - 44)*(p - 2)**2*(p - 1)
Let l be (10 - 13)*1/(-1). Let 16*a**2 + 0*a**3 + 16*a**3 + 0*a**l + 7 + 1 - 28*a = 0. Calculate a.
-2, 1/2
Let u = 2 - -3. Determine d, given that 0*d**2 + 3*d**3 + 3*d**2 - 8*d**5 - 3*d**4 + 5*d**u = 0.
-1, 0, 1
Let t(j) = 5*j**2 - 19*j + 5. Suppose -4*z - 2 = -6. Let f(s) = -12 - z + 9 - 5*s**2 + 18*s. Let a(d) = -3*f(d) - 4*t(d). Solve a(v) = 0.
2/5, 4
Let o(p) = -p - 1. Let t(c) be the first derivative of 2*c**3/3 + 9*c**2 + 88*c + 23. Let y(q) = -10*o(q) + t(q). Determine l, given that y(l) = 0.
-7
Let v(o) be the first derivative of 4/45*o**5 + 1/9*o**2 - 1/6*o**4 + 0*o + 0*o**3 - 33. Factor v(q).
2*q*(q - 1)**2*(2*q + 1)/9
Let j(y) be the first derivative of -1936*y**3 + 132*y**2 - 3*y - 79. Factor j(r).
-3*(44*r - 1)**2
Let s be 5 + (0 - 1)/1. Let q(h) = h**2 + 6*h + 2. Let a be q(-6). Factor 3 + 3 - s*l**a - 6 - 4*l.
-4*l*(l + 1)
Let x(q) = -14*q**2 + 27*q - 8. Let a(d) be the first derivative of 29*d**3/3 - 27*d**2 + 17*d - 1. Let m(v) = -2*a(v) - 5*x(v). Factor m(g).
3*(g - 2)*(4*g - 1)
Let j be 340/204 + 5/(-6). Let u(k) be the second derivative of 0 - 25/4*k**2 - 5*k - j*k**3 - 1/24*k**4. Suppose u(s) = 0. Calculate s.
-5
Let t be (-770)/(-1386) + 1/(-2)*1. Let d(f) be the first derivative of -t*f**4 + 3 - 4/3*f**2 - 16/9*f - 4/9*f**3. Determine n, given that d(n) = 0.
-2
Let k be (-6)/(-2) - (249/(-6) - 1). Let w = -44 + k. Let -w + 3/4*n - 3/4*n**3 + 3/2*n**2 = 0. What is n?
-1, 1, 2
Let v(y) = -6*y**3 - 39*y**2 - 92*y + 27. Let l(k) = -k**3 - k + 1. Let i(q) = -2*l(q) + v(q). What is o in i(o) = 0?
-5, 1/4
Let y(x) be the third derivative of 2*x**7/105 + 7*x**6/15 + 16*x**5/5 - 7*x**4/3 - 98*x**3/3 - 5*x**2 + 1. What is l in y(l) = 0?
-7, -1, 1
Let u(i) be the second derivative of i**6/90 - i**5/20 - i**4/36 + i**3/6 + 4*i + 21. Find y, given that u(y) = 0.
-1, 0, 1, 3
Let t = 349 - 346. Let g(l) be the first derivative of -t + 4*l**2 + 8*l + 2/3*l**3. Determine n, given that g(n) = 0.
-2
Let y(t) be the first derivative of -t**6/160 + t**5/80 + t**4/32 - t**3/8 - 15*t**2 + 5. Let d(o) be the second derivative of y(o). Let d(l) = 0. What is l?
-1, 1
Let a(p) be the second derivative of -p**5/130 - p**4/39 - p**3/39 + 103*p. Factor a(r).
-2*r*(r + 1)**2/13
Let r(z) = -5*z**2 - 25*z + 5. Let s(q) = -2*q**2 - 2*q + 5. Let y(k) = r(k) + 5*s(k). Suppose y(x) = 0. Calculate x.
-3, 2/3
Let j = -36 + 33. Let v = j - -4. What is f in 1/4*f**2 + 3/4*f - v = 0?
-4, 1
Let s(q) be the first derivative of 3*q**6/8 + 7*q**5/4 + 10*q**4/3 + 10*q**3/3 + 11*q**2/2 + 1. Let d(b) be the second derivative of s(b). Solve d(k) = 0.
-1, -2/3
Let n(h) be the third derivative of 0*h - 33*h**2 - 1/25*h**5 + 0*h**3 + 0 + 1/350*h**7 + 1/200*h**6 - 1/10*h**4. Let n(q) = 0. What is q?
-2, -1, 0, 2
Let h(j) be the first derivative of 5*j**3/3 - 195*j**2 + 7605*j + 64. Find u such that h(u) = 0.
39
Let u(i) = 5*i - 1. Let f be u(5). Let j be (1/(-1) - -1) + f/30. Factor -8/5 - j*r + 4/5*r**2.
4*(r - 2)*(r + 1)/5
Let y(f) be the third derivative of 0*f**3 + 20*f**2 + 0 - 1/3*f**5 + 0*f**4 + 1/30*f**6 + 0*f. Find z such that y(z) = 0.
0, 5
Let h(z) be the second derivative of 1/18*z**4 + 4/3*z**2 + 0 - 4/9*z**3 - 13*z. Factor h(l).
2*(l - 2)**2/3
Let d = 41 - 41. Factor -4*z**4 + d*z**2 + z**3 - 12*z**2 + 14*z**3 - 3*z**3 + 4*z.
-4*z*(z - 1)**3
Let l = 13304 + -13304. Let g = 2 + 0. Solve -2/7*x**g - 2/7*x**4 + 4/7*x**3 + l + 0*x = 0.
0, 1
Let h(g) be the third derivative of -g**6/45 + g**5/15 - g**4/18 - 5*g**2 - 9*g. Let h(r) = 0. Calculate r.
0, 1/2, 1
Find m such that 11/8*m**4 + 7/2*m**2 + 1/8*m**5 - 5*m**3 + 0*m + 0 = 0.
-14, 0, 1, 2
Let q = -16788 - -16791. Factor -32/7 + 8/7*p**2 + 4/7*p**q - 16/7*p.
4*(p - 2)*(p + 2)**2/7
Let s be (-58)/(-65) - 2460/(-7995). Let n(t) = 2*t. Let o be n(1). Factor 12/5*q**o + 21/5*q - s.
3*(q + 2)*(4*q - 1)/5
Let b be (-1592)/4*(-15)/(-12). Let i = 511 + b. Factor 3/2*z**2 + i - 9*z.
3*(z - 3)**2/2
Let g = 1447 - 1444. Let 8/9*f**2 - 8/9*f - 2/9*f**g + 0 = 0. What is f?
0, 2
Let p be 406/21 - 4/(-6). Suppose p = 4*j - 4*u, -8 = 2*j + 4*u - 0*u. Factor -2*f**3 - 8*f**2 + 8*f**2 + 0*f**2 + j*f**5.
2*f**3*(f - 1)*(f + 1)
Let j(t) be the first derivative of -2*t**3/9 - 6*t**2 + 38*t/3 - 73. Suppose j(b) = 0. What is b?
-19, 1
Let m = 19 - 13. Let a(f) = f**3 + f**2. Let j(i) = i**3 + 6*i**2 + 15*i + 10. Let w(b) = m*a(b) - j(b). Let w(u) = 0. What is u?
-1, 2
Let u(l) be the third derivative of l**2 + 0 + 0*l + 1/735*l**7 + 0*l**5 + 0*l**3 + 1/210*l**6 + 0*l**4. Factor u(w).
2*w**3*(w + 2)/7
Let p(r) be the first derivative of -5*r**4/4 + 20*r**3/3 + 30*r**2 + 490. Factor p(x).
-5*x*(x - 6)*(x + 2)
Let g be (10/60)/((-1)/(-12)). What is b in 2/15*b**g + 0 - 2/3*b = 0?
0, 5
Let j(y) be the first derivative of -y**3/9 + 30*y**2 - 2700*y + 194. Factor j(p).
-(p - 90)**2/3
Let b = -7 - -10. Suppose -5*z = 0, 4*i - 4 = 2*i + b*z. Let 8*c**4 - c - 2*c**3 - 3*c**i - 8*c**2 + 3*c + 3*c**2 = 0. What is c?
-1, 0, 1/4, 1
Let x(d) be the first derivative of -2*d**5/45 - d**4/6 - 2*d**3/27 + d**2/3 + 4*d/9 - 57. Solve x(u) = 0 for u.
-2, -1, 1
Solve -9*m**4 + 18*m**2 + 3*m**3 - 3/2*m - 3/2*m**5 - 9 = 0 for m.
-6, -1, 1
Let s(f) = -f**2 - 11*f - 28. Let a be s(-7). Let t(p) be the first derivative of -1/4*p**4 + 3 + 1/4*p**2 + a*p - 1/6*p**3. Factor t(u).
-u*(u + 1)*(2*u - 1)/2
Let v(m) be the second derivative of -3/4*m**5 + 0*m**2 + 1/2*m**4 - 12*m + 0*m**3 + 0 + 3/10*m**6. Factor v(z).
3*z**2*(z - 1)*(3*z - 2)
Let u(m) = 12*m**5 - 38*m**3 - 7*m**2 + 12*m + 7. Let d(a) = 8*a**5 - 26*a**3 - 5*a**2 + 8*a + 5. Let i(p) = -7*d(p) + 5*u(p). Determine s, given that i(s) = 0.
-1, 0, 1
Let y(a) = 0 + 3*a + 1 + 1 - a**2. Let q(r) = -70 + 70 - r. Let j(v) = 12*q(v) + 3*y(v). Solve j(c) = 0.
-2, 1
Let m(b) be the first derivative of -b**6/144 - b**5/48 - 2*b**3 + 14. Let y(z) be the third derivative of m(z). Factor y(l).
-5*l*(l + 1)/2
Let t be (-42)/(-126) + ((-699)/216 - -3). Let j(v) be the second derivative of 0 - 5*v - t*v**4 + 1/3*v**2 - 1/3*v**3. Factor j(p).
-(p + 2)*(7*p - 2)/6
Let f(u) = -u**3 - u**2 + u + 1. Let a(m) = 3*m**3 - 7*m**2 + 9*m - 5. Let o(r) = -a(r) - f(r). Factor o(i).
-2*(i - 2)*(i - 1)**2
Let v(z) = -15*z**2 - 3120*z - 15. Let m(d) = -23*d**2 - 4681*d - 24. Let r(n) = 5*m(n) - 8*v(n). Factor r(k).
5*k*(k + 311)
Let g be (-5)/15*(-12)/28. Determine n so that 2/7*n**3 - 2/7*n + 0 - 1/7*n**4 + g*n**2 = 0.
-1, 0, 1, 2
Suppose k + 43 - 46 = 0. Let g be 40/32 - k/(-12). Factor 0*o - 1/2*o**3 - g*o**2 + 0.
-o**2*(o + 3)/2
Find n, given that 54*n**2 - 14*n**2 + 0*n**3 - n**3 - 2*n**3 - 111*n + 74*n**2 = 0.
0, 1, 37
Let l(h) = 2*h**3 + 18*h**2 + 16*h + 4. Let r be l(-8). Determine v so that 10/17*v**3 - 2/17*v**5 + 8/17 - 2/17*v**r + 2/17*v**2 - 16/17*v = 0.
-2, 1
Let a(p) be the second derivative of 0 - 18/7*p**2 - 3/70*p**5 - 10/21*p**4 - 21*p - 13/7*p**3. Factor a(m).
-2*(m + 3)**2*(3*m + 2)/7
Suppose 5*x = -3*x + 24. Let g(h) be the second derivative of -1/16*h**4 + 0 + 0*h**x + 1/2*h**2 - 5*h + 1/80*h**5. Factor g(c).
(c - 2)**2*(c + 1)/4
Let o(q) = q**2 - 2*q - 13. Let f be o(7). Factor 2 + 8*r - 2*r**3 - 2*r**2 - f*r + 9*r + 7*r.
-2*(r - 1)*(r + 1)**2
Suppose 30*s - 33*s + 21 = 3*t, 2*t - 4*s = 44. Let v be (t/(-135))/(8/(-12)). Factor 2/5*u**2 - 4/15*u - v*u**3 + 0.
-2*u*(u - 2)*(u - 1)/15
Let s(q) be the second derivative of q**4/6 + q**3 + 2*q**2 + 446*q. Determine c so that s(c) = 0.
-2, -1
Let n be (457/(-6) - -5)/(2/(-3)). Let b = 107 - n. Factor -1/4*d + 0*d**2 + b*d**3 + 0.
d*(d - 1)*(d + 1)/4
Suppose -20 = -0*m + 5*m. Let n be (21/(-5) - m)*-1. Factor -1/5*h**4 + 0 + 1/5*h**3 + n*h**2 - 1/5*h.
-h*(h - 1)**2*(h + 1)/5
Let c(h) be the third deriva