et t(s) = 3*s**3 - 7*s**2 - 7*s + 3. Let p be 5 - 2 - 4/1. Let q(n) = n**2 + n. Let r(m) = b*q(m) + p*t(m). Determine k so that r(k) = 0.
-1, 1
Suppose 14 - 14 = -124*m - 28*m. Factor m + 27/2*h**2 - 3*h + 15/2*h**3.
3*h*(h + 2)*(5*h - 1)/2
Find m, given that 73*m + 56 - 8*m**3 - 15*m**2 - 81*m + 2*m**4 - 27*m**2 = 0.
-2, 1, 7
Let u be (-25 - (-710)/(-20))/((-7)/4). What is y in 44/7*y + 2/7*y**2 + u = 0?
-11
Let j(a) be the second derivative of -a**5/20 + 7*a**4/12 - a**3 + 47*a. Let z be j(6). Factor 0 + 1/2*f**3 + 0*f + z*f**2 + 1/2*f**4.
f**3*(f + 1)/2
Let k(x) be the first derivative of -5/3*x**3 - 12 - 320*x - 40*x**2. Factor k(o).
-5*(o + 8)**2
Let q(r) be the third derivative of 0 - 12*r**2 + 0*r - 1/8*r**4 + 0*r**3 - 1/20*r**5. Let q(z) = 0. Calculate z.
-1, 0
Let c(j) be the third derivative of -j**7/945 + j**6/135 + j**5/54 - j**4/3 + 4*j**3/3 - 4*j**2 + 12. Suppose c(w) = 0. What is w?
-3, 2, 3
Let v(p) be the first derivative of -20 + 1620*p + 5/3*p**3 - 90*p**2. Let v(q) = 0. What is q?
18
Let o(z) be the first derivative of 2*z**3/27 + 70*z**2/9 + 2450*z/9 - 321. Find h, given that o(h) = 0.
-35
Let v(u) be the third derivative of u**8/112 - 3*u**7/70 - u**6/4 + 44*u**2 + 2. Determine l so that v(l) = 0.
-2, 0, 5
Let i(j) be the first derivative of -2*j**3/27 - 5*j**2/3 + 32*j/9 - 144. Solve i(c) = 0.
-16, 1
Suppose 40*t + 1010*t**4 - 509*t**4 - 45*t**3 - 240 + 5*t**5 - 526*t**4 + 265*t**2 = 0. Calculate t.
-3, -1, 1, 4
Let s(k) be the first derivative of 2*k**3/15 - 3*k**2/5 + 79. Determine o so that s(o) = 0.
0, 3
Let -126*j - 11907 - 1/3*j**2 = 0. What is j?
-189
Let d be -5 + (-96)/16 - -11. Factor 1/4*i + 0 + 0*i**4 + d*i**2 + 1/4*i**5 - 1/2*i**3.
i*(i - 1)**2*(i + 1)**2/4
Let u(w) = w**3 - 3*w**2 - 8*w + 2. Let a(g) = -129*g - 24*g**2 + 15*g**3 + 33 - 9*g**2 + 13*g**2 - 28*g**2. Let b(j) = -2*a(j) + 33*u(j). Factor b(f).
3*f*(f - 2)*(f + 1)
Suppose 14*t - 10*t - 8 = 0. Factor 1132*s**3 - 1130*s**3 + 2*s**t + 2*s**2.
2*s**2*(s + 2)
Let v(y) = 6*y**4 - y**3 - 5*y**2 - 7*y. Let j(t) = t**4 - t**2 - t. Suppose 175 = -12*q + 7*q. Let c(z) = q*j(z) + 5*v(z). Factor c(g).
-5*g**2*(g - 1)*(g + 2)
Suppose 0*o + 10 = 5*o. Suppose 16 = o*y - 3*x, y - 5 - 5 = 2*x. Solve 1/3*d**3 - d**5 + 4/3*d**4 - 2/3*d**y + 0*d + 0 = 0.
-2/3, 0, 1
Factor 0*l + 125/4*l**2 + 0 + 5/4*l**4 + 25/2*l**3.
5*l**2*(l + 5)**2/4
Let i(m) be the third derivative of 2*m**7/75 - m**6/30 - 4*m**5/3 + 14*m**4/3 + 32*m**3/5 + 65*m**2 - 2. Solve i(n) = 0 for n.
-4, -2/7, 2, 3
Let g(i) = -1. Let h(n) = -2*n**2 + 7*n + 7. Let d(r) = -5*g(r) - h(r). Let q be d(4). Factor -1/2*w**4 + 0 - 1/2*w**q - w**3 + 0*w.
-w**2*(w + 1)**2/2
Factor -31 + 48*o**2 - 16*o - 29 + 6*o**3 + 18*o**3 - 4 + 4*o**3 + 4*o**4.
4*(o - 1)*(o + 2)**2*(o + 4)
Let w be (1 - 0)/((-13)/(-26)). Let 1 - 2*y + 0*y + 0*y + y**w = 0. Calculate y.
1
Let s(w) be the second derivative of -w**5/20 + w**4/2 + 16*w + 5. Solve s(c) = 0.
0, 6
Let x(q) be the third derivative of 1/20*q**6 + 0*q**5 - 3/56*q**8 + 0 + 0*q**4 + 22*q**2 + 0*q**3 + 1/70*q**7 + 0*q. Let x(u) = 0. Calculate u.
-1/2, 0, 2/3
Let l(p) = 24*p + p**2 - 8 - 10*p - 4*p. Let k be l(-11). Find i, given that 3*i**5 - 3*i**4 - 5*i**k + 6*i**4 + 5*i**3 = 0.
-1, 0
Let d(f) be the second derivative of 1/84*f**7 + 1/30*f**6 + 1/40*f**5 + 0*f**3 + 11*f + 0*f**4 + 0*f**2 + 0. Factor d(k).
k**3*(k + 1)**2/2
Factor 64*v + 156*v**2 + 49/2*v**4 + 8 + 112*v**3.
(v + 2)**2*(7*v + 2)**2/2
Let h(f) be the first derivative of -f**4/4 - 3*f**3/2 + 11*f + 9. Let j(y) be the first derivative of h(y). Determine w so that j(w) = 0.
-3, 0
Let n = -36 - -38. Let -32*g + 10*g - 9*g**4 + 14*g - 28*g**n - 30*g**3 = 0. Calculate g.
-2, -2/3, 0
Let v = 473 - 473. Let p(a) be the first derivative of 6 + 0*a**3 - a**6 + 2/5*a**5 + 0*a + v*a**2 + a**4. Factor p(b).
-2*b**3*(b - 1)*(3*b + 2)
Factor 10/3*i - 8/3*i**2 - 4/3 + 2/3*i**3.
2*(i - 2)*(i - 1)**2/3
Suppose q + 22 = 5*f, -f + q = 3*q. Let j(s) be the second derivative of s + 1/60*s**5 + 0 + 2/3*s**2 - 1/36*s**f - 2/9*s**3. Factor j(l).
(l - 2)*(l - 1)*(l + 2)/3
Determine f, given that -23*f + 4 + 72*f**2 + 26*f + 41*f = 0.
-1/2, -1/9
Let g(v) = -v**3 - 13*v**2 - 12*v + 112. Let c be g(-11). Solve 10/21*u + 4/7 - 4/21*u**c - 2/21*u**3 = 0 for u.
-3, -1, 2
Suppose -105*p = -127*p + 132. Let z(n) be the second derivative of -1/34*n**4 - 1/85*n**6 + 0 + p*n + 2/17*n**2 + 1/17*n**3 - 7/170*n**5. Factor z(r).
-2*(r + 1)**3*(3*r - 2)/17
Suppose 0 = -6*d + 2*d - 24. Let m(i) = -4*i - 5. Let x be m(d). Determine z, given that -31 + 20*z - x + 0 - 2*z**2 + 0*z**2 = 0.
5
Let m = -699 + 1245. Let h be (-4)/(-22) - m/(-22). Factor -3*z**2 + 0*z**2 - h + 22 - 6*z.
-3*(z + 1)**2
Let d(h) be the first derivative of h**6/12 + 9*h**5/10 + 3*h**4 + 8*h**3/3 + 1. Solve d(m) = 0.
-4, -1, 0
Let c(x) be the first derivative of -2*x**5/45 - 7*x**4/18 + 38*x**3/27 + 7*x**2/9 - 4*x + 113. Let c(o) = 0. Calculate o.
-9, -1, 1, 2
Let p(f) be the third derivative of f**8/1176 - f**7/105 + f**6/28 - 3*f**5/70 - 2*f**2 + 99*f. Factor p(a).
2*a**2*(a - 3)**2*(a - 1)/7
Let t(u) be the third derivative of 0*u + 0 - 1/24*u**4 - 1/210*u**7 + 0*u**3 + 12*u**2 - 1/40*u**6 - 1/20*u**5. Factor t(b).
-b*(b + 1)**3
Let d(h) be the first derivative of h**5/15 - 2*h**4/3 + 2*h**3 - 13*h**2/2 - 2. Let k(r) be the second derivative of d(r). Find c, given that k(c) = 0.
1, 3
Let k(z) be the third derivative of z**7/1365 + 7*z**6/780 + z**5/26 + 3*z**4/52 + 108*z**2. Let k(x) = 0. Calculate x.
-3, -1, 0
Find l, given that 390/11*l + 6/11*l**2 + 384/11 = 0.
-64, -1
Let x(r) = 4*r**4 + 84*r**3 - 83*r**2 + 5*r + 10. Let w(y) = y**4 + 42*y**3 - 41*y**2 + 2*y + 4. Let a(l) = -5*w(l) + 2*x(l). Factor a(m).
3*m**2*(m - 13)*(m - 1)
Let w(i) be the second derivative of i**6/12 - 9*i**5/80 - i**4/48 + 2*i - 28. Determine o so that w(o) = 0.
-1/10, 0, 1
Let j be (-20)/100*(-4)/1. Let m(q) be the first derivative of 2 - 1/5*q**2 - j*q + 2/15*q**3. Factor m(f).
2*(f - 2)*(f + 1)/5
Let t(k) be the first derivative of -k**3/7 + 831*k**2/7 - 230187*k/7 - 724. Suppose t(u) = 0. Calculate u.
277
Let v = -4176328/7 + 597605. Let q = v - 985. Factor q*i + 4*i**2 + 4/7*i**5 + 2/7 + 18/7*i**4 + 32/7*i**3.
2*(i + 1)**4*(2*i + 1)/7
Let t(q) be the second derivative of 1/39*q**3 + 0 + 0*q**2 - 13*q - 1/195*q**6 + 3/130*q**5 - 1/26*q**4. Factor t(u).
-2*u*(u - 1)**3/13
Find d such that -1185*d + 43 + 853*d - 24*d**3 + 4*d**5 - 40*d**4 + 77 + 272*d**2 = 0.
-3, 1, 10
Let 28/5*h**3 - 64/5 + 32*h**2 + 176/5*h = 0. What is h?
-4, -2, 2/7
Let y(s) = s - 1. Let c(i) = i + 4*i**2 - 25*i + 3 + 81. Let w(r) = c(r) - 16*y(r). Factor w(t).
4*(t - 5)**2
Let s(v) = v**3 + 10*v**2 + 8*v - 11. Let p be s(-9). Let a be (-1 - -17)*(-1)/p. Factor -2*w**5 - w - 4*w**4 - 6*w**2 + 3*w**3 - 2*w**5 + a*w**2.
-w*(w + 1)**2*(2*w - 1)**2
Let o be 90/40 - 2/8. Let g(d) be the second derivative of o*d + 1/9*d**2 + 1/9*d**3 + 0 - 2/27*d**4. Factor g(w).
-2*(w - 1)*(4*w + 1)/9
Let d(y) = y**2 - 11*y + 5. Let n(p) = -2*p**3 + 4*p + 3. Let x be n(-2). Let j be d(x). Factor q**2 + j*q + 3*q**2 + 3*q + 0*q - 12.
4*(q - 1)*(q + 3)
Let n = 30 - 28. Determine a so that 3*a**2 + 2*a + 4*a**2 - 9*a**n = 0.
0, 1
Let j(s) = 4*s**2 - s + 2. Let v be j(1). Suppose 0 = 5*w - 5*q - v, 0 = -q + 5*q - 8. Factor 0*a + 0 - 2/3*a**2 + 2/3*a**w.
2*a**2*(a - 1)/3
Suppose 0 = 3*p - 6 + 3. Suppose -2 + p = -3*n + 2*b, 16 = 4*b. Factor 18*x**4 - x**2 - n*x**5 - 60*x**3 + 37*x**2 - 12*x + 21*x**3.
-3*x*(x - 2)**2*(x - 1)**2
Let d(s) be the second derivative of -s**6/6 + s**5/4 + 5*s**4/6 + 49*s. Factor d(v).
-5*v**2*(v - 2)*(v + 1)
Let t be (-14)/(-38 - -10)*1. Suppose 0 + t*r**3 - 1/2*r**2 - r = 0. Calculate r.
-1, 0, 2
Let v(q) be the third derivative of -q**7/490 - 3*q**6/140 - q**5/140 + 3*q**4/7 - 8*q**3/7 + 173*q**2 - 2. Suppose v(w) = 0. What is w?
-4, 1
Let f(b) be the third derivative of 2*b**2 + 1/12*b**4 - 5/3*b**3 + 0 - 1/135*b**6 + 0*b + 1/180*b**5. Let a(j) be the first derivative of f(j). Factor a(k).
-2*(k - 1)*(4*k + 3)/3
Suppose 7*p - 5*p + 4 = 0. Let z(u) = -5*u**2 - 5*u + 8. Let w(b) = -10*b**2 - 10*b + 15. Let n(c) = p*w(c) + 5*z(c). Factor n(y).
-5*(y - 1)*(y + 2)
Let l(k) be the second derivative of 3/140*k**5 + 0*k**3 + 0 + 