 + 4*f = 0, -u = -0*f - 3*f - 1. Let p = -17 + 19. Factor 15*y**2 + 13*y + 2 + p*y**4 + 23*y**3 + 5*y**u + 12*y**2.
(y + 1)**3*(7*y + 2)
Let t(a) be the first derivative of -4/3*a**3 + 0*a - 10*a**2 - 1/20*a**4 + 37. Determine u so that t(u) = 0.
-10, 0
Let -16 - 4*q**4 - 15*q**5 - 7*q**3 + 20*q**2 + 19*q**5 - 13*q**3 + 16*q = 0. What is q?
-2, -1, 1, 2
Let r(v) be the second derivative of -v**4/6 + 43*v**3/3 - 120*v**2 - 59*v + 7. What is x in r(x) = 0?
3, 40
Let j(r) be the second derivative of 1/135*r**6 + 0 + 1/90*r**5 - 1/27*r**4 + 0*r**3 + 12*r + 0*r**2. Suppose j(w) = 0. What is w?
-2, 0, 1
Let p(r) = -r**2 - 9*r + 3. Let h = -31 + 22. Let x be p(h). Solve -3 + x*u - 9*u**2 + 6*u**2 + 3 = 0 for u.
0, 1
Let f = 78415/104564 + 2/26141. Factor -3/4*b**3 - f*b + 0 + 3/2*b**2.
-3*b*(b - 1)**2/4
Let b(v) be the second derivative of -3/70*v**5 + 0 - 1/28*v**4 + 47*v + 0*v**3 - 1/70*v**6 + 0*v**2. Factor b(y).
-3*y**2*(y + 1)**2/7
Let q be ((-6)/4)/((-170)/(-4)). Let d = q - -54/85. What is k in -d*k**2 + 12/5 + 0*k = 0?
-2, 2
Suppose 0 = 3*m + 2*q - 19 - 25, 0 = 3*m - q - 32. Suppose -s + y - m = -5*s, 5*y - 28 = -4*s. Solve 0 - 8/5*a**3 + 24/5*a**4 + 0*a + 0*a**s - 18/5*a**5 = 0.
0, 2/3
Suppose 0 = -p - 2*p. Suppose p = z - 5, 3*t + 3*z - 36 = -0*t. Determine s, given that 6*s - 10*s**2 + 0*s + 3*s + t*s**2 = 0.
0, 3
Factor 506 - 48*p - 1273 + 6*p**2 - 8*p**2 + 511.
-2*(p + 8)*(p + 16)
Let j be ((-357)/(-56))/(6/4) + 9/(-36). Factor -2/3*o**j + 2*o**2 + 4/3 - 10/3*o + 2/3*o**3.
-2*(o - 1)**3*(o + 2)/3
Let 0 + 15/2*o**3 + 3*o + 33/2*o**2 = 0. What is o?
-2, -1/5, 0
Factor 3/2*r**2 - 1/2*r**4 + 5/2*r + 1 - 1/2*r**3.
-(r - 2)*(r + 1)**3/2
Let q(w) be the third derivative of -w**7/420 - 7*w**6/40 + 168*w**2. Factor q(n).
-n**3*(n + 42)/2
Let s(c) = -c**3 + c**2 + c - 1. Let n(r) = -11*r**3 + 26*r**2 - 19*r + 4. Let f(k) = n(k) - 6*s(k). Factor f(w).
-5*(w - 2)*(w - 1)**2
Let n be 7*((-8)/(-1))/(-4). Let t = n - -16. Find p, given that p**2 + 2*p**t - 6*p**2 + p**4 - 4*p**3 + 6*p**2 = 0.
0, 1, 3
Let r(k) be the second derivative of -3*k**5/5 - 53*k**4/6 - 13*k**3 + 8*k**2 - 464*k. Solve r(n) = 0.
-8, -1, 1/6
Suppose 63060*z = 63036*z + 2304. Determine b, given that 256 - z*b + 12*b**2 - 1/2*b**3 = 0.
8
Let r be (2 - 416/(-20))*-5. Let a = 229/2 + r. Suppose 0*j**2 + 1/2 + j - a*j**4 - j**3 = 0. What is j?
-1, 1
Suppose -12/17 - 10/17*j - 2/17*j**2 = 0. What is j?
-3, -2
Let j(k) be the third derivative of 0*k + 0 + 1/57*k**4 + 1/570*k**5 + 0*k**3 + 2*k**2. Factor j(n).
2*n*(n + 4)/19
Let x(j) be the second derivative of -j**7/42 - 8*j**6/15 - 16*j**5/5 - 53*j**4/6 - 79*j**3/6 - 11*j**2 + 48*j. Suppose x(f) = 0. Calculate f.
-11, -2, -1
Let m(r) be the third derivative of -1/210*r**7 + 0 + 0*r**3 - 9*r**2 + 1/60*r**5 + 0*r + 1/672*r**8 + 0*r**6 - 1/48*r**4. Factor m(s).
s*(s - 1)**3*(s + 1)/2
Let o = 39804 - 39802. Find f such that 18/7*f**o - 27/7*f - 3/7*f**3 + 0 = 0.
0, 3
Let z(h) be the second derivative of h**5/4 - 15*h**4/2 + 135*h**3/2 + 6*h - 2. Solve z(l) = 0.
0, 9
Let p(a) be the second derivative of -2*a**6/75 - 23*a**5/100 + 17*a**4/30 - 7*a**3/30 + 4*a + 19. Determine m so that p(m) = 0.
-7, 0, 1/4, 1
Let k be ((-86)/252 + (-12)/(-42))/((-32)/128). Determine s so that -2/9*s**3 + 0 - 4/9*s**2 - k*s = 0.
-1, 0
Let q(j) = -j**2 + j - 1. Let h(m) = -3*m**2 + 26*m - 25. Let d(t) = -h(t) + 2*q(t). Factor d(x).
(x - 23)*(x - 1)
Let -4 - 13*l - 10 - 22*l - 53 + 7 - 5*l**2 = 0. Calculate l.
-4, -3
Suppose 59*q - 38*q = 54 + 9. Factor -76/3*w + 40/3 + 32/3*w**2 + 4/3*w**q.
4*(w - 1)**2*(w + 10)/3
Factor 0 + 0*n + 49/5*n**2 - 14/5*n**3 + 1/5*n**4.
n**2*(n - 7)**2/5
Let f(c) = -c**2 - 1. Let t(j) = 2*j**2 - 16*j. Let m(b) = -5*f(b) - t(b). Solve m(a) = 0 for a.
-5, -1/3
Suppose -3*i = -26 - 1. Factor -15*o**4 - 24 + 3*o**4 + o - 3*o**5 + i*o + 30*o**2 - 3*o**3 + 2*o.
-3*(o - 1)**2*(o + 2)**3
Let n = -35 + 63. Factor 2*d**3 + 28 - d**2 - n.
d**2*(2*d - 1)
Let l(b) = -7*b**2 + 11*b + 22. Let n(p) = 8*p**2 - 10*p - 23. Let o(f) = 5*l(f) + 4*n(f). Factor o(w).
-3*(w - 6)*(w + 1)
Let j(s) = s**2 - 15*s - 8. Let u be j(17). Suppose -m + d + u = -d, 2*d + 46 = 2*m. Factor 12*i + 4*i**4 + 28*i**2 + m*i**3 - 84 + 84.
4*i*(i + 1)**2*(i + 3)
Let m(b) be the second derivative of -1/120*b**6 - 1/48*b**4 + 16*b + 0*b**2 + 0 + 0*b**3 + 1/40*b**5. Solve m(p) = 0 for p.
0, 1
Let t(l) = -2*l**2 + 35*l - 33. Let f(v) = -v**2 + 35*v - 34. Let b(o) = 3*f(o) - 4*t(o). Factor b(u).
5*(u - 6)*(u - 1)
Suppose 6*h = 2*h + 8. Suppose -2*d = -3*d + h. Factor -1/2*w**4 + 3/2*w**3 - 1/2*w**5 + w + 0 + 5/2*w**d.
-w*(w - 2)*(w + 1)**3/2
Find y such that 20*y - 13*y + 17*y - 54 + 7*y + 26*y - 3*y**2 = 0.
1, 18
Let y be (-1058)/(-253) + (1 - (-13)/(-11)). Let n(b) be the second derivative of b**3 + 0 + 0*b**2 - 1/6*b**y - 2*b. Suppose n(h) = 0. Calculate h.
0, 3
Let k = -35533/5 - -7107. Factor -6/5*i - 2*i**2 - k*i**3 + 18/5.
-2*(i - 1)*(i + 3)**2/5
Let r(y) be the second derivative of 5*y - 1/180*y**5 + 0 - 11/2*y**2 - 1/2*y**3 - 1/12*y**4. Let c(x) be the first derivative of r(x). Factor c(l).
-(l + 3)**2/3
Let n = 703/432 + -1/432. Suppose 3/8 - n*m**3 - 1/2*m**4 + 13/8*m + 1/8*m**2 = 0. Calculate m.
-3, -1, -1/4, 1
Let k(g) be the third derivative of g**8/168 - 8*g**7/105 + g**6/12 + 7*g**5/15 - 130*g**2. Solve k(v) = 0.
-1, 0, 2, 7
Let g(v) = -2*v - 5*v - 2*v + 8*v + 1. Let l(d) = d**3 - 2*d**2 + 5*d - 4. Let f(w) = -6*g(w) - l(w). Determine o so that f(o) = 0.
-1, 1, 2
Factor 992 - q**2 + 20*q - 1496 + 5*q**2.
4*(q - 9)*(q + 14)
Suppose 5*b + 39 - 49 = 0. Let y(l) be the first derivative of 1/4*l**2 + 1/2*l**3 + 0*l - b. Solve y(p) = 0 for p.
-1/3, 0
Let f be (-3)/6*-1*6. Suppose -f*s - 4*d = -30, d = 4*s - 3*d - 12. Determine q, given that 2*q**4 + 11*q**2 - 5*q + 5*q - s*q**3 - 7*q**2 = 0.
0, 1, 2
Suppose -6 = 3*q + 5*w - 2*w, 1 = -w. Let n be 3/2 - q/2. Determine d so that d + d - 928*d**n + 926*d**2 = 0.
0, 1
Let d(h) = h**2 + 8*h + 5. Suppose -97 + 33 = 8*r. Let k be d(r). Factor -3 - 5*a**2 + k + 4*a**2 - a**2.
-2*(a - 1)*(a + 1)
Let k(c) be the first derivative of -c**5/4 + 5*c**4/12 + 5*c**3/6 - 5*c**2/2 + 9*c + 9. Let y(h) be the first derivative of k(h). Determine s so that y(s) = 0.
-1, 1
Determine w, given that 106/7*w**2 + 0 + 2/7*w**3 + 104/7*w = 0.
-52, -1, 0
Let o(g) = -8*g. Let u be o(-3). Suppose 0 = -a - u + 28. Determine m, given that 6/7*m**2 - 2/7*m**a - 4/7*m + 0*m**3 + 0 = 0.
-2, 0, 1
Let m be 4 + (2 - (3 + 13)). Let t(z) = z**5 - 4*z**4 + z**2 + 5*z + 3. Let o(h) = h**5 - 8*h**4 + 3*h**2 + 9*h + 5. Let p(a) = m*t(a) + 6*o(a). Factor p(f).
-4*f*(f - 1)*(f + 1)**3
Let n(q) = q + 4. Let j be n(-2). Let r be -2 - (-1)/(3/16*j). Solve 0 - r*u - 1/3*u**2 + 1/3*u**3 = 0.
-1, 0, 2
Let -24*v**3 + 4*v**5 + 54*v - 36*v**2 + 5*v**4 - 2*v**5 + 3*v**4 - 4*v**4 = 0. What is v?
-3, 0, 1, 3
Factor 2*f**4 + 0*f**4 - 10*f - 23*f - 15*f - 4*f**4 + 28*f**2 + 22*f**3.
-2*f*(f - 12)*(f - 1)*(f + 2)
Let z be 6/(4*(-1)/6*-1). Let y(b) = -b - 2. Let m be y(-5). Solve -3 + 8*n**2 - z + m*n**3 - 5*n**2 + 6*n**2 = 0.
-2, 1
Let w(r) be the third derivative of r**5/180 + 7*r**4/24 + 3*r**3 + 97*r**2 + r. Factor w(m).
(m + 3)*(m + 18)/3
Let j(p) be the second derivative of -p**9/3780 - p**8/840 + p**7/630 + p**6/90 - 11*p**4/4 - 3*p. Let r(m) be the third derivative of j(m). Factor r(k).
-4*k*(k - 1)*(k + 1)*(k + 2)
Let o(x) = 2*x + 4. Let b be o(0). Determine i so that -b*i - 2*i**3 - 204*i**2 + 9*i**3 + 0*i**4 + 200*i**2 - 2*i**4 = 0.
-1/2, 0, 2
Suppose -4*u = -2*u - 4. Let m(w) = -w**2 + 14*w - 46. Let g be m(6). Suppose 2*k**u + k**g - 4*k + 6*k - 14*k = 0. Calculate k.
0, 4
Let k(m) be the second derivative of m + 0*m**3 + 0 - m**2 + 1/24*m**4. Factor k(s).
(s - 2)*(s + 2)/2
Factor -6/7 + 38/7*t - 6*t**2 + 10/7*t**3.
2*(t - 3)*(t - 1)*(5*t - 1)/7
Let j(z) be the second derivative of 2*z**6/75 - 3*z**5/50 - 11*z**4/30 + 2*z**3/5 + 3*z - 15. Suppose j(r) = 0. What is r?
-2, 0, 1/2, 3
Let v = 80 + -77. Suppose -v*w + 0 + 12 = 0. Factor 0*h**w + 0 - 2/7*h**5 + 0*h**2 + 4/7*h**3 - 2/7*h.
-2*h*(h - 1)**2*(h + 1)**2/7
Let z(j) be the second derivative of -j**6/1260 - j**5/140 - j**4/42 + 13*j**3/3 - 25*j. Let g(b) be the second derivative of z(b). Factor g(t).
-2*(t + 1)*(t + 