j + 45/2*j**b - 75/4*j**3 + 0.
-3*j*(5*j - 3)**2/4
Let a(x) be the second derivative of -x**5/4 - 25*x**4/3 + 5*x**3/6 + 50*x**2 + 115*x. What is u in a(u) = 0?
-20, -1, 1
Let c = 41 + -19. Suppose -4*t + c = 2*h, 12 + 7 = h + 4*t. Factor 2/3*y**h + 10/9*y**2 + 0 + 4/9*y.
2*y*(y + 1)*(3*y + 2)/9
Let u(t) = t**4 + 63*t**3 + 960*t**2 - 1030*t + 6. Let i(w) = -2*w + 2. Let l(k) = -15*i(k) + 5*u(k). Suppose l(a) = 0. What is a?
-32, 0, 1
Let j be 2/(-11) + (-114)/(-22). Suppose 0 = -5*b + d + 48, -31 = -4*b + d + 7. Factor b*x - 19*x**2 + 20*x**3 + 2*x**j - 10*x**4 + 1 - 3 - x**2.
2*(x - 1)**5
Let r = 391445 - 3518873/9. Let j = r - 458. Factor 20/9*q**3 - 2/9 + 10/9*q - 20/9*q**2 - j*q**4 + 2/9*q**5.
2*(q - 1)**5/9
Let h(a) be the first derivative of 16*a + 4*a**5 - 12*a**3 + 3*a**4 - 23 + 20 - 11*a**4 + 16*a**2. Solve h(s) = 0.
-1, -2/5, 1, 2
Let o(b) be the first derivative of -2*b**5/35 + b**4/7 + 2*b**3/21 - 2*b**2/7 + 282. Solve o(u) = 0.
-1, 0, 1, 2
Factor 60*w + 14791*w**4 + 924*w**2 - 640*w**3 - 14683*w**4 + 12*w.
4*w*(w - 3)**2*(27*w + 2)
Let h(j) = -7*j**3 - 3*j + 10. Suppose 137 + 186 = 19*u. Let d(t) = -20*t**3 + t**2 - 10*t + 29. Let b(w) = u*h(w) - 6*d(w). Factor b(r).
(r - 4)*(r - 1)**2
Let s(x) = 3*x + 45*x**3 + 3*x + 7 + 5*x - 18 + 4*x**4. Let b(g) = g**4 + 9*g**3 + 2*g - 2. Let i(w) = 11*b(w) - 2*s(w). Solve i(c) = 0.
-3, 0
Suppose 124 = -12*p + 43*p. Let a(y) be the third derivative of -1/48*y**p + 0 + 0*y - 1/240*y**5 - 1/24*y**3 - 7*y**2. Factor a(f).
-(f + 1)**2/4
Suppose 3*b + 14 = 5*b. Factor -4*m**2 - 55*m - m**2 - 8 + 75 - b.
-5*(m - 1)*(m + 12)
Let l be (15/9)/(2/(32/200)). Let g(w) be the second derivative of 1/6*w**4 + 0*w**2 + 2/25*w**5 - 6*w + l*w**3 + 0 + 1/75*w**6. Find p, given that g(p) = 0.
-2, -1, 0
Let w(o) be the first derivative of o**4 - 148*o**3/3 + 142*o**2 - 140*o - 260. Factor w(t).
4*(t - 35)*(t - 1)**2
Suppose 3*l + 33 = 3*v, l + 0*l + 25 = 3*v. Suppose -z - v*z = -16. Suppose -2*i**4 + 0 + 0*i - z*i**3 - 2/3*i**5 - 2/3*i**2 = 0. Calculate i.
-1, 0
Let q = 121/120 - 5/24. Factor -2/5*i**2 - q*i + 6/5.
-2*(i - 1)*(i + 3)/5
Let h be 2 + (-2688)/(-147) - 16. Let u be (-2)/(-56) - 3/(-12). What is i in -2*i**2 + u*i**3 - 18/7 + h*i = 0?
1, 3
Suppose -3*d - 7*d = -20. Let k be -9*(8/12 - 1). Solve 4/7*t + 0 - 2/7*t**d - 6/7*t**k = 0.
-1, 0, 2/3
Let k(c) be the first derivative of 7 - 27/2*c**2 + 12*c - c**3. Let b(u) = -2*u**2 - 14*u + 6. Let r(h) = 9*b(h) - 5*k(h). Factor r(g).
-3*(g - 2)*(g - 1)
Let n(j) be the third derivative of j**5/75 - j**4/120 - 74*j**2. Solve n(q) = 0.
0, 1/4
Let w be -3 - -58*1/18. Let o = 40 - 118/3. Factor 0 - w*p**2 + o*p.
-2*p*(p - 3)/9
Let d = 75 + -28. Factor 3*t**3 + d*t - 3*t**4 + 6*t**2 - 3*t**2 - 50*t.
-3*t*(t - 1)**2*(t + 1)
Let u(b) = 3*b**3 - 17*b**2 - 18*b. Let s(x) = -20*x**3 + 120*x**2 + 125*x. Let d(c) = -2*s(c) - 15*u(c). Factor d(m).
-5*m*(m - 4)*(m + 1)
Let j be 150/140*168/120. Factor -j*s**2 - 30*s - 150.
-3*(s + 10)**2/2
Suppose r = 5*t - 156, 0*t - 148 = -4*t - 5*r. Solve 92*x**3 + 4 + 28 - 32*x**5 - t*x**4 - 16*x**3 - 112*x + 56*x**2 + 12*x**5 = 0 for x.
-2, 2/5, 1
Suppose 36*x**2 - 2*x**3 - 14*x + 0*x**3 - 7*x**3 + 6*x**3 - 46*x = 0. Calculate x.
0, 2, 10
Let s be (-28)/(-21)*-1*(-3)/(-2). Let l be (s + 2)/(18 - 14). Factor -2/3*w**2 - 2/3*w**4 + 0 + l*w - 4/3*w**3.
-2*w**2*(w + 1)**2/3
Let d(r) be the third derivative of -r**7/420 + r**5/60 + 7*r**3/6 + 18*r**2. Let m(s) be the first derivative of d(s). Factor m(k).
-2*k*(k - 1)*(k + 1)
Let m be (42/(-12))/7*4/(-82). Let b = m - -75/287. Solve 4/7*r**3 - 2/7*r**5 + 4/7*r**2 - 2/7*r**4 - b*r - 2/7 = 0 for r.
-1, 1
Suppose -2 - 4 = -3*o - t, -8 = -4*o - 3*t. Suppose 2*d + 3*d + 10 = 0, o*p + 2*d = 2. Factor -3*x + 5*x**3 - 3*x**4 - 3*x + x**p + 3.
-3*(x - 1)**3*(x + 1)
Factor 0*i + i**4 - 22*i**3 - 10*i**3 - 45*i**2 + 0*i + 36*i**3.
i**2*(i - 5)*(i + 9)
Let 1/7*z**2 + 160/7*z + 6400/7 = 0. Calculate z.
-80
Solve 74*m - 26*m**3 - m**4 - 75 + 48*m + 546*m**2 - 566*m**2 = 0 for m.
-25, -3, 1
Let d(z) be the third derivative of 0 + 0*z + 25/1176*z**8 - 1/12*z**4 - 13/147*z**7 + 1/105*z**5 - 1/21*z**3 - 14*z**2 + 23/210*z**6. Factor d(n).
2*(n - 1)**3*(5*n + 1)**2/7
Suppose -f + 4*n - 4 = 0, 4*f - 8 = -2*n + 30. Suppose 2*c + p = 4*c - f, 10 = -c - 3*p. Determine j, given that 8/7*j - 16/7 - 1/7*j**c = 0.
4
Factor 0*h + 2/15*h**4 + 0 + 0*h**2 - 4/15*h**3.
2*h**3*(h - 2)/15
Let t = 37 - 19. Factor -4*k**3 + t*k**2 + 17*k**2 - 31*k**2.
-4*k**2*(k - 1)
Let p(a) be the first derivative of 0*a + 3*a**3 - 3*a**2 - 3/4*a**4 + 2. Factor p(i).
-3*i*(i - 2)*(i - 1)
Let h(t) be the second derivative of 0 - 3/4*t**2 - 13*t - 5/24*t**4 - 1/40*t**5 - 7/12*t**3. Factor h(c).
-(c + 1)**2*(c + 3)/2
Let n(c) be the second derivative of -c**6/75 + c**5/25 + 2*c**4/15 - 2*c**3/15 - 3*c**2/5 - 15*c + 11. Determine s, given that n(s) = 0.
-1, 1, 3
Let y(i) = -11*i**2 - 6*i. Suppose b + 2*a + 6 = 0, -3*a = 3*b + 2*a + 18. Let q(j) = -45*j**2 - 25*j. Let k(p) = b*q(p) + 25*y(p). Factor k(f).
-5*f**2
Let i(v) = -4*v**2 - 5*v - 3. Let h(b) = -8*b**2 - 11*b - 5. Let p(w) = 3*w - 6. Let u be p(3). Let s(g) = u*h(g) - 5*i(g). Factor s(r).
-4*r*(r + 2)
Let r(u) be the first derivative of u**4/14 - 2*u**3/7 - 6*u**2/7 + 16*u/7 + 31. Let r(m) = 0. Calculate m.
-2, 1, 4
Let x = -49/6 + 269/30. Let s(q) be the second derivative of 11/15*q**6 + 4*q - 2/3*q**4 + 1/7*q**7 + x*q**5 + 0 + 0*q**3 + 0*q**2. Factor s(z).
2*z**2*(z + 2)**2*(3*z - 1)
Let r = -150992/945 - -4132/27. Let k = r - -50/7. Factor -2/5*y + k*y**2 + 0.
2*y*(y - 1)/5
Let z = -1035/182 - -99/14. Let z + 30/13*p + 14/13*p**2 + 2/13*p**3 = 0. Calculate p.
-3, -1
Suppose -10*b - 8 = -28. Suppose -5*w**2 + 2*w**2 - 10*w - 8 + 18*w + w**b = 0. What is w?
2
Let j = 700 + -697. Let v(r) be the second derivative of -7*r + 14/3*r**j + 1/5*r**5 - 6*r**2 - 5/3*r**4 + 0. Factor v(d).
4*(d - 3)*(d - 1)**2
Let g(n) = n**3 + 6*n**2 - 9*n + 1. Let r be g(-7). Factor 20*s**2 - r*s + 528*s**4 - 516*s**3 + 199*s**2 + s - 28*s - 192*s**5 + 3.
-3*(s - 1)**2*(4*s - 1)**3
Let y = -2/1101 + 1111/5505. Let f(k) be the second derivative of 1/20*k**4 + y*k**3 + 3/10*k**2 + 7*k + 0. Solve f(q) = 0 for q.
-1
Solve -46/11*o - 2/11*o**3 - 2/11*o**4 + 20/11 + 30/11*o**2 = 0.
-5, 1, 2
Let l(q) = -2*q**3 - q - 1. Let u(a) = -a**3 + 40*a**2 - 65*a + 10. Let g(x) = 12*l(x) - 3*u(x). Factor g(c).
-3*(c - 1)*(c + 7)*(7*c - 2)
Let l be (14/2793*21)/((-1)/(-19)). Solve -1/7*g**l + 1/7*g**3 + 1/7 - 1/7*g = 0.
-1, 1
Let h(m) be the first derivative of m**4 - 64*m**3/3 - 34*m**2 - 678. Factor h(o).
4*o*(o - 17)*(o + 1)
Solve 116/7*q - 12/7*q**4 + 16/7 + 10/7*q**3 + 122/7*q**2 = 0 for q.
-2, -1, -1/6, 4
Let x(b) = 8*b + 47. Let l be x(-12). Let h = l - -51. Factor 64/7*g + 32/7 + 48/7*g**h + 16/7*g**3 + 2/7*g**4.
2*(g + 2)**4/7
Let k(g) be the third derivative of -7/4*g**5 - 2*g**3 + 0*g + 0 + 11*g**2 + 5/16*g**6 + 11/4*g**4. Factor k(s).
3*(s - 2)*(5*s - 2)**2/2
Let j(v) be the first derivative of v**5/15 + 7*v**4/12 + 2*v**3 - 3*v**2/2 + 6*v - 8. Let h(x) be the second derivative of j(x). Find f such that h(f) = 0.
-2, -3/2
Let n(q) = 2*q**4 + 10*q**3 + 20*q**2 + 16*q + 6. Let b(g) = g**2 + g + 1. Let k(w) = -2*b(w) + n(w). Factor k(j).
2*(j + 1)**3*(j + 2)
Let x(q) = -q**3 + 12*q**2 - 12*q + 13. Let i be x(11). Let 25 - 95*k + 69*k**3 + 29 + 15*k**4 - 58*k + 15*k**i = 0. Calculate k.
-3, 2/5, 1
Factor 64*f**2 + 5 - 15*f - 16*f**4 - 3 - 4*f**5 + 79*f - 2.
-4*f*(f - 2)*(f + 2)**3
Let q(r) = -4*r**4 - 54*r**3 - 171*r**2 + 126*r + 88. Let b(i) = -2*i**4 - 27*i**3 - 86*i**2 + 63*i + 43. Let k(l) = 5*b(l) - 3*q(l). Factor k(y).
(y - 1)*(y + 7)**2*(2*y + 1)
Let d(y) be the third derivative of -2/105*y**7 + 0*y**4 + 0*y**3 + 0*y**6 + 0*y + 0 + 0*y**5 - 22*y**2. Factor d(h).
-4*h**4
Factor 0 + 2/13*f**4 - 20/13*f + 12/13*f**3 + 6/13*f**2.
2*f*(f - 1)*(f + 2)*(f + 5)/13
Suppose -66 = -2*o - o. Suppose 22*g**2 + g**3 - 48*g + o*g**2 + 4*g**5 - 5*g**3 - 12*g**4 + 16 = 0. What is g?
-2, 1, 2
Let z be (-60)/39*(472/40 - 12). Let 14/13*l**4 - 6/13*l**3 - 14/13*l**2 + 10/13*l**5 - z*l + 0 = 0. What is l?
-1, -2/5, 0, 1
Let f(r) = -r**3 + 43*r**2 - 153*r - 117. Let d be f(39). Factor -3/4*w**4 + d - 9/2*w**3 - 6*w - 9*w**2.
-3*w*(