 first derivative of p(i). Factor n(q).
-2*q**2*(q - 1)
Suppose 74*o - 34 = 57*o. What is q in -3/4 - 9/8*q + 0*q**o + 3/8*q**3 = 0?
-1, 2
Let u(q) be the third derivative of -q**8/84 - 4*q**7/35 - 3*q**6/10 - 4*q**5/15 - 183*q**2. Determine z, given that u(z) = 0.
-4, -1, 0
Let d(t) = -3*t**2 + 5*t + 16. Let i(q) = 16*q**2 - 25*q - 81. Let u(k) = -11*d(k) - 2*i(k). Factor u(p).
(p - 7)*(p + 2)
Let g(a) be the first derivative of 3*a**6/2 - 231*a**5/5 + 147*a**4/4 + 25*a**3 + 822. Solve g(c) = 0.
-1/3, 0, 1, 25
Let y(h) = 6*h**2 - 2*h - 1. Suppose 2 = -p + 4. Let s(m) = 0*m**2 - 3 + 2 - m**p. Let r(x) = 3*s(x) - 3*y(x). Determine z so that r(z) = 0.
0, 2/7
Let b(n) be the third derivative of n**6/24 - n**5/12 - 5*n**4/6 + 10*n**3/3 - 134*n**2. Determine r so that b(r) = 0.
-2, 1, 2
Suppose z - c + 59 = 61, 5*z - c - 2 = 0. Factor 15*h**4 + z*h + 0 - 10*h**3 + 5/3*h**2.
5*h**2*(3*h - 1)**2/3
Let c(k) be the second derivative of -k**6/120 - k**5/40 + 13*k**3/3 - 15*k. Let i(a) be the second derivative of c(a). Solve i(u) = 0.
-1, 0
Let t(y) be the first derivative of y**9/18144 - y**8/5040 + y**7/5040 + 7*y**3 + 20. Let q(z) be the third derivative of t(z). Let q(d) = 0. What is d?
0, 1
Let p be (3*401)/((-8)/(-16)). Let w = -7148/3 + p. Determine i, given that -62/3*i**2 + w*i**4 - 16*i**3 - 8/3 + 16*i = 0.
-1, 2/7, 2/5, 1
Let b(d) be the second derivative of -d**6/300 - d**5/150 + d**4/30 + 19*d**2/2 + 14*d. Let v(t) be the first derivative of b(t). Factor v(h).
-2*h*(h - 1)*(h + 2)/5
Let p(q) = 2*q**2 - 11*q - 17. Let b be p(7). Solve b*r - 7 - 2*r**2 - 11 - 16*r = 0.
-3
Let s(p) be the third derivative of -3/10*p**6 + 0*p + 9/5*p**5 + 0 - 12*p**2 - 10/3*p**4 + 8/3*p**3. Factor s(i).
-4*(i - 2)*(3*i - 2)*(3*i - 1)
Suppose 2*u - 1 = 7. Factor 157 + u*t**2 - 157 + 12*t**3 + 8*t**4.
4*t**2*(t + 1)*(2*t + 1)
Let m(p) = -p**3 + 1 + 6*p**3 - 12*p**3 - 2*p**2. Let g be m(-1). Suppose 2 + 25*l**2 - 5 - g*l - 28*l**2 = 0. What is l?
-1
Suppose i + 23 = 28. Let y(q) = 5*q + 39. Let x be y(-7). Find l, given that 38/7*l**3 - 16/7*l - 110/7*l**x + 46/7*l**2 - 8/7 + 50/7*l**i = 0.
-2/5, 1
Let h be (-8)/4 - -1 - (-21)/3. Let t be (-14)/(-21)*h/28. Factor -1/7*m + 0*m**2 + 0 + t*m**3.
m*(m - 1)*(m + 1)/7
Let s(o) be the third derivative of 0*o + 1/240*o**5 + 0 + 1/96*o**4 - 3*o**2 + 0*o**3. What is l in s(l) = 0?
-1, 0
Let q(t) be the first derivative of t**6/8 + t**5/20 - 5*t**4/16 - t**3/12 + t**2/4 - 148. Let q(d) = 0. What is d?
-1, 0, 2/3, 1
Suppose 3*y - 27 = -3*w, 2*w = w + 4*y - 6. Find z such that -14*z**4 - w*z**4 + 44*z**3 + 16*z - 17*z**5 - 16 + 84*z**2 + 20*z**5 - 15*z**5 = 0.
-2, -1, 1/3, 2
Let w be 2/(((-18)/(-159))/3). Let l = w + -22. Let 0 - 2 + x**2 + 32*x - l*x = 0. What is x?
-2, 1
Let a = 3816 + -15263/4. Factor 1/12*s + a*s**2 + 0.
s*(3*s + 1)/12
Let n = -16 - -28. Let p(o) = o**3 + o**2 + 1. Let s(y) = 28*y**3 + 60*y**2 - 60*y + 28. Let t(k) = n*p(k) - s(k). Factor t(w).
-4*(w + 4)*(2*w - 1)**2
Let m be ((-4)/(-42))/(2316/2702). Determine v, given that -m*v**2 - 1/9*v + 2/9 = 0.
-2, 1
Suppose -6*f + 51 + 15 = 0. Let l be 11/f*6*1/2. Factor 10/3*h**2 + 0 - 8/3*h**l - 2/3*h.
-2*h*(h - 1)*(4*h - 1)/3
Let u(l) be the second derivative of 0 + 0*l**2 + 1/30*l**4 + 1/5*l**3 - 1/25*l**5 - 9*l. Factor u(p).
-2*p*(p + 1)*(2*p - 3)/5
Let f be 3/6*0/2. Let l(t) be the first derivative of 1/3*t - 1/3*t**3 + 11 - 1/6*t**4 + f*t**2. Suppose l(r) = 0. What is r?
-1, 1/2
Let m(l) = -3*l**4 + 18*l**3 + 34*l**2 - 61*l - 185. Let p(d) = -2*d**4 + 9*d**3 + 17*d**2 - 30*d - 93. Let h(r) = -3*m(r) + 5*p(r). Solve h(t) = 0 for t.
-5, -3, 2
Let q(m) be the third derivative of 0 - 1/210*m**7 + 0*m + 0*m**5 + 0*m**4 + 0*m**3 + 1/240*m**6 - 18*m**2 + 1/672*m**8. Find o such that q(o) = 0.
0, 1
Let j(i) be the first derivative of -35*i**3/18 + 5*i**2 + 10*i/3 - 117. Factor j(f).
-5*(f - 2)*(7*f + 2)/6
Let y(x) be the first derivative of -2*x**3/3 + 14*x**2 - 26*x - 117. Determine t so that y(t) = 0.
1, 13
Let i = -782 + 1424. Let x = 1954/3 - i. Factor 4/3 - x*n**2 + 8/3*n + 16/3*n**3.
4*(n - 1)**2*(4*n + 1)/3
Suppose -3*v - 6 = 0, -22 = -4*b + 2*b + 3*v. Suppose -c + 10 = b. Factor 0*m**3 + 1/4*m**5 - 1/4*m + 0 + 1/2*m**c - 1/2*m**4.
m*(m - 1)**3*(m + 1)/4
Let x(j) be the third derivative of j**7/70 + j**6/4 + 29*j**5/20 + 5*j**4/2 + j**2 + 250*j. Suppose x(n) = 0. Calculate n.
-5, -4, -1, 0
Let j = -24 + 43. Suppose 0 = 5*l + 3*d - j, 5*d = 2*l - 0*d + 11. Solve 4*n**l + 8*n**3 - 4*n**3 + 2*n**3 - 2*n**5 = 0.
-1, 0, 2
Let u(i) be the second derivative of 13*i**4/12 - 3*i**3/2 + 12*i. Let r(v) = v**2 - v. Let m(p) = 22*r(p) - 2*u(p). Factor m(c).
-4*c*(c + 1)
Factor -r**4 - 5*r**2 - 134*r**3 + 107*r**3 - r**2 - 11*r**4.
-3*r**2*(r + 2)*(4*r + 1)
Let o be -22*7/10 + -2. Let d = 91/5 + o. Factor -18/5*a**2 + d*a + 0.
-2*a*(9*a - 2)/5
Suppose -7*y = 3*y + 4*y. Let o(n) be the third derivative of y + 0*n**3 + 0*n**4 - 1/60*n**5 - 6*n**2 + 0*n. Factor o(v).
-v**2
Let k(t) = 35*t**2 + 560*t + 15. Let x(d) = -9*d**2 - 140*d - 4. Let w(b) = -4*k(b) - 15*x(b). Find r, given that w(r) = 0.
-28, 0
Let j(x) = x**3 - 7*x**2 + 2*x - 12. Let h be j(7). Let d be -4*((-3)/(-2) - h). Factor -4/3*f**2 + 2/3*f**3 - d*f + 0.
2*f*(f - 3)*(f + 1)/3
Let w(p) be the first derivative of p**5/75 - p**4/15 + 2*p**3/15 + 3*p**2/2 - 5. Let b(r) be the second derivative of w(r). Determine m, given that b(m) = 0.
1
Let p(h) be the first derivative of -1/8*h**3 + 0*h - 13 + 1/8*h**2. Solve p(k) = 0 for k.
0, 2/3
Solve 13/8*n - 21/4 - 1/8*n**2 = 0.
6, 7
Let k be 2 - (-5 - (-4)/1). Let u(l) be the first derivative of -k*l**2 + 0*l - l**3 - 2 + 0*l. Factor u(m).
-3*m*(m + 2)
Let o = 43 + -38. Factor 9*z**4 + 0*z**4 + 4*z**5 - z**o - 12*z**2.
3*z**2*(z - 1)*(z + 2)**2
Solve -21*x**2 - x + 0*x - 358*x**3 + 7*x + 12*x**4 + 343*x**3 = 0 for x.
-1, 0, 1/4, 2
Let z(i) be the third derivative of i**6/2520 - i**5/840 - 5*i**3/6 - 16*i**2. Let u(v) be the first derivative of z(v). Factor u(n).
n*(n - 1)/7
Let m(o) be the third derivative of -o**5/30 + 5*o**4/4 + 34*o**3/3 + 249*o**2. Factor m(t).
-2*(t - 17)*(t + 2)
Let a = -23035/24 - -2885/3. Determine g so that -9/8*g**4 + 15/8*g**3 + a*g**2 - 15/8*g - 3/4 = 0.
-1, -1/3, 1, 2
Let o be ((-3)/(-1))/((-1 + 2)*1). Factor -4*d + 4 - 4*d**2 + 6*d + 753*d**o - 755*d**3.
-2*(d - 1)*(d + 1)*(d + 2)
Suppose -4*a + 2*a - 9 = -3*j, 0 = -2*j - 2*a + 16. Let w = 464/215 + -24/43. Suppose 2*i**3 - 16/5*i + 2/5*i**2 + w - 2/5*i**4 - 2/5*i**j = 0. Calculate i.
-2, 1
Let f = -30 + 32. Solve a**2 - 100 - 11*a - 5*a**f - 32*a + 3*a = 0.
-5
Let z = 6 - 4. Let v be (156/42 - 4) + 60/14. Suppose 14*h**v - 2*h**2 + 0*h**3 - 12*h**4 + 2*h - z*h**3 = 0. What is h?
-1, 0, 1
Let n = 48 - 42. Let k be (-4)/n*(-81)/18. Solve 2/3*p**k + 0*p**2 + 0*p + 0 + 2/3*p**4 = 0 for p.
-1, 0
Let n be ((-2)/4)/((-5)/20). Let v be 4/26 + (-1236)/(-585) + 4/10. Factor 0*z + 0 - 8/3*z**n - 2/3*z**4 - v*z**3.
-2*z**2*(z + 2)**2/3
Let l(h) be the first derivative of h**5/3 - 11*h**4/6 + 4*h**3 - 13*h**2/3 + 7*h/3 + 25. Let l(r) = 0. Calculate r.
1, 7/5
Let i(v) be the first derivative of -13*v**3/4 - 24*v**2 + 15*v/4 + 222. Factor i(w).
-3*(w + 5)*(13*w - 1)/4
Let l(p) = -p**2 - 4*p + 23. Let b be l(-7). Factor 66*x + 44*x + 78*x**b - 605 - 83*x**2.
-5*(x - 11)**2
Let x(i) = 3*i**2 - 48*i + 86. Let y be x(14). Let l(r) be the second derivative of 0*r**2 + 1/80*r**5 + 0*r**3 + 0 + 1/240*r**6 - y*r + 1/96*r**4. Factor l(c).
c**2*(c + 1)**2/8
Let u(w) be the second derivative of -w**6/15 + 7*w**5/5 - 2*w**4 - 14*w**3/3 + 13*w**2 + 816*w. Factor u(s).
-2*(s - 13)*(s - 1)**2*(s + 1)
Let g = 3/20 + -67/480. Let i(q) be the third derivative of -1/80*q**5 - 1/160*q**6 + 0 + 0*q + 8*q**2 - g*q**4 - 1/840*q**7 + 0*q**3. Factor i(c).
-c*(c + 1)**3/4
Find j such that j**3 + 15*j**4 - 9*j - 1043 + 8*j**3 - 21*j**2 + 1049 = 0.
-1, 2/5, 1
Let i = 3013/12 - 251. Let n(c) be the second derivative of -1/60*c**6 + 0*c**2 + 1/24*c**4 - i*c**3 - 4*c + 1/40*c**5 + 0. Let n(k) = 0. What is k?
-1, 0, 1
Let y be -7*(-3)/21*0. Let x(l) be the second derivative of 1/10*l**2 + y + 1/60*l**4 + 1/15*l**3 + l. Solve x(c) = 0 for c.
-1
Let -23/10*t - 3/10 + 4/5*t**2 = 0. What is t?
-1/8, 3
Suppose 4*s + 4*b - 4 = 4, 2 = -2*b.