 - 1. Let c be x(4). Let q be 1*-2 - (1 - c). Factor 4 - q*t**3 + t**2 + 15*t - t - 11*t**2.
-2*(t - 1)*(t + 2)*(4*t + 1)
Let o(p) = -p**2 + 12*p + 18. Let q be o(12). Factor -11 + 18*i**3 - 9 - 2*i - q*i + 25*i**2 - 3*i**3.
5*(i - 1)*(i + 2)*(3*i + 2)
Let b(n) be the second derivative of 2*n**6/105 - 2*n**5/5 + 5*n**4/3 - 44*n**3/21 - 11*n + 9. Factor b(i).
4*i*(i - 11)*(i - 2)*(i - 1)/7
Find l, given that 81/7*l**2 - 27*l**4 + 0 - 21*l**5 + 6/7*l + 249/7*l**3 = 0.
-2, -1/7, 0, 1
Let j be 6 - 2 - (-4 - 0). Factor 0*p**3 - j*p + 2*p**4 + 12*p**2 - 10*p**4 + 12*p**3.
-4*p*(p - 2)*(p + 1)*(2*p - 1)
Suppose 23*c - 19*c = -k + 13, -4*k - 12 = 0. Find b, given that 1/2*b**3 + 1/2*b**2 - 1/2*b**c - 1/2*b + 0 = 0.
-1, 0, 1
Let f(m) be the first derivative of -m**4/18 + 2*m**3/27 + 5*m**2/9 + 2*m/3 + 15. Solve f(g) = 0 for g.
-1, 3
Let h(z) = z**2 - 7*z. Let u(r) = -r - 3. Let y(m) = 1. Let t(x) = u(x) + 3*y(x). Let p(i) = -h(i) + 4*t(i). Let p(v) = 0. Calculate v.
0, 3
Let o(c) = -3*c**3 + 39*c**2 + 3*c - 39. Let q(a) = 2*a - 38. Let j be q(16). Let h(r) = 6*r**3 - 77*r**2 - 6*r + 77. Let f(u) = j*h(u) - 11*o(u). Factor f(w).
-3*(w - 11)*(w - 1)*(w + 1)
Let b(d) = d**3 - d**2 + 4*d - 2. Let v be b(2). Let j = v + -8. Suppose -8*p**2 - j + 10*p**3 + 6*p**3 + p + 2 = 0. What is p?
0, 1/4
Let a(g) be the third derivative of -1/70*g**7 + 8*g**3 + 0*g - 7/40*g**6 + 0 - 35*g**2 + 1/2*g**4 - 3/5*g**5. Factor a(z).
-3*(z - 1)*(z + 2)**2*(z + 4)
Let z(y) be the second derivative of -y**4/120 + 7*y**3/60 - 3*y**2/10 + 2*y - 3. Suppose z(q) = 0. Calculate q.
1, 6
Let a be (-6)/20*(-5 - 0). Let w be 1 - (6 + -6 + 1). Let w*g + a*g**4 - 1/2*g**5 - g**3 + 0 + 0*g**2 = 0. What is g?
0, 1, 2
Let q = -86099/1145 - 1/229. Let l = q + 76. Let 2/5*i**2 - l - 2/5*i = 0. What is i?
-1, 2
Let m(r) be the first derivative of -r**6/24 - 7*r**5/20 - 5*r**4/8 + 3*r**3/2 + 27*r**2/8 - 27*r/4 + 309. Factor m(t).
-(t - 1)**2*(t + 3)**3/4
Let b(r) = r**2 + 6*r + 2. Let o be b(-6). Suppose -o*j = -j - 4. Suppose h**3 + 7*h**5 + 5*h**4 - j*h**5 + 0*h**2 - h**2 = 0. What is h?
-1, 0, 1/3
Factor 152 - 1148/3*l + 20/3*l**2.
4*(l - 57)*(5*l - 2)/3
Let o be (-57)/(-7) - (28/(-49))/(-4). Let 7*t**3 + 4*t**3 - 5*t**3 - 12*t + o - 2*t**3 = 0. What is t?
-2, 1
Let q(h) = 11*h**4 + 33*h**3 + 60*h**2 + 21*h + 5. Let p(s) = 5*s**4 + 17*s**3 + 30*s**2 + 10*s + 2. Let d(j) = -5*p(j) + 2*q(j). Find w, given that d(w) = 0.
-4, -2, -1/3, 0
Solve -42*i**2 + 196*i - 31 + 24*i**2 + 251 - 1182*i = 0 for i.
-55, 2/9
Factor 0*y**2 + 7*y**2 - 7*y**2 + 5*y + 5*y**2.
5*y*(y + 1)
Let t be 8/(-2)*9/(-4). Suppose -3*l + t = -3*a, -l - l = -a - 5. Let 4*p**5 + l*p**4 - 3*p**5 - 79*p + 78*p - 2*p**2 = 0. Calculate p.
-1, 0, 1
Let r(h) = h**3 - 6*h**2 - 5*h + 34. Let l be r(6). Solve -8/5*b**2 + 0 + 4/5*b**5 + 0*b + 0*b**l - 12/5*b**3 = 0.
-1, 0, 2
Let j(q) be the third derivative of -q**6/30 - 2*q**5/15 + 4*q**4/3 - q**2 - 159*q. Solve j(h) = 0 for h.
-4, 0, 2
Let t(s) be the second derivative of 5*s**7/252 - s**6/18 - 7*s**5/12 - 5*s**4/9 + 65*s**3/36 + 25*s**2/6 - 308*s. What is c in t(c) = 0?
-2, -1, 1, 5
Let c(q) be the first derivative of -2/3*q**3 + 1/2*q**4 + q + 1/5*q**5 - 1/2*q**2 - 5 - 1/6*q**6. Factor c(z).
-(z - 1)**3*(z + 1)**2
Suppose 5*r - 4*r + 0*r = 0. Let g(m) be the third derivative of 1/105*m**5 + 4*m**2 + 0*m + 1/42*m**4 + 0 + r*m**3. Factor g(n).
4*n*(n + 1)/7
Let v(j) be the first derivative of 2*j**5/5 + j**4 - 2*j**3 - 8*j**2 - 8*j - 317. Solve v(f) = 0 for f.
-2, -1, 2
Let j(u) be the first derivative of u**6/600 - u**4/40 + u**3/15 - 13*u**2 - 22. Let o(q) be the second derivative of j(q). Suppose o(l) = 0. What is l?
-2, 1
Let n(j) be the second derivative of j**7/168 - j**6/30 - 3*j**5/20 - j**4/24 + 11*j**3/24 + 3*j**2/4 + 269*j. Find s such that n(s) = 0.
-1, 1, 6
Suppose -84/5*w + 288/5 - 4/5*w**2 = 0. Calculate w.
-24, 3
Let a(t) be the second derivative of t**7/112 - t**6/80 - 123*t**5/160 - 31*t**4/32 + 23*t**3/2 - 21*t**2 + 787*t. Let a(h) = 0. Calculate h.
-4, 1, 7
Let i be (-14)/(-105) + (-58)/(-15). Suppose 4*z + i = 16. Determine a so that -1/2*a + 0 - 5/2*a**z - 9/4*a**2 - 3/4*a**4 = 0.
-2, -1, -1/3, 0
Suppose -206*w + 157 = 42 - 297. Factor i + 0 - 9/2*i**w.
-i*(9*i - 2)/2
What is z in -32/3*z + 44 - 4/3*z**2 = 0?
-11, 3
Let d(j) be the first derivative of 3*j**6/200 - j**5/10 + 3*j**4/40 + 9*j**2 - 3. Let m(v) be the second derivative of d(v). Determine l so that m(l) = 0.
0, 1/3, 3
Let k(z) be the second derivative of -z**6/3240 + z**5/45 - 2*z**4/3 + 35*z**3/6 + 39*z. Let n(y) be the second derivative of k(y). Let n(v) = 0. Calculate v.
12
Let k be 2529/39 - 10/(-65). Let t = k - 63. Solve 2/3*n**3 + 0*n**2 - t*n + 4/3 = 0.
-2, 1
Let d(b) = -b**3 - 7*b**2 + 9*b + 11. Let z be d(-8). Suppose -2 = z*q - 4*q. Factor 4*f**q - 20*f**3 + 15*f**4 + 3*f**4 - 2*f**4.
4*f**2*(f - 1)*(4*f - 1)
Let g(u) = -u**3 - 11*u**2 + u + 14. Let z be g(-11). Factor k**2 + 10*k - z*k**2 - 27 - k**2 + 8*k.
-3*(k - 3)**2
Factor 2/5*u**3 + 6353046/5 + 882/5*u**2 + 129654/5*u.
2*(u + 147)**3/5
Let v = -11 + 11. Suppose v = o - 9 - 4. Solve 8*b**4 - 15*b**5 + o*b**4 - 6*b**3 - 4 + 4 = 0.
0, 2/5, 1
Let b(f) be the third derivative of 0*f + 14*f**2 + 1/8*f**6 + 0 + 0*f**3 - 5/6*f**4 + 0*f**5 + 1/42*f**7. Factor b(h).
5*h*(h - 1)*(h + 2)**2
Let l(o) = -4*o**3 + o**2 + o + 3. Let k be l(-2). Suppose 12*x = 11 + k. Solve 2/3*f**2 - 8/3*f**5 + 0 + 0*f + 0*f**x + 2*f**3 = 0.
-1/2, 0, 1
Let j(m) be the third derivative of -m**7/420 - 7*m**6/240 - 17*m**5/120 - 17*m**4/48 - m**3/2 + 40*m**2. Determine r so that j(r) = 0.
-3, -2, -1
Find w such that -1402*w - 1372*w - 100*w**3 + 2834*w + 10*w**4 + 145*w**2 + 5*w**4 = 0.
-1/3, 0, 3, 4
Let p(n) be the second derivative of n**6/80 - 7*n**5/40 + n**4/2 + 4*n**3 + 20*n**2 - 27*n. Let g(h) be the first derivative of p(h). Let g(a) = 0. What is a?
-1, 4
Factor -3/7*d**2 - 222/7 - 225/7*d.
-3*(d + 1)*(d + 74)/7
Factor 16*v - 1160*v**4 - 48*v**2 + 572*v**4 - 60*v**3 + 572*v**4.
-4*v*(v + 2)**2*(4*v - 1)
Let t(v) = -v + 4. Let r = -18 - -18. Let f be t(r). Determine y, given that -2*y**2 - 30*y**3 - 4*y**4 + 120*y - 80 - y**4 - f*y**2 + y**2 = 0.
-4, 1
Let v(m) be the second derivative of m**5/110 + 7*m**4/66 + 106*m. Suppose v(d) = 0. What is d?
-7, 0
Suppose -4*i - 18 = z, 4*z = -8*i + 11*i + 23. Suppose 2/5*n**2 + 8/5*n - z = 0. Calculate n.
-5, 1
Factor 1/3*t**2 - 12*t + 108.
(t - 18)**2/3
Factor -33/7*s**3 - 204/7*s - 120/7 - 18*s**2 - 3/7*s**4.
-3*(s + 2)**3*(s + 5)/7
Let g(h) be the second derivative of h**6/15 + 17*h**5/45 - 107*h**4/54 + 76*h**3/27 - 4*h**2/3 + h + 264. Determine x so that g(x) = 0.
-6, 2/9, 1
Let w = -30 + 42. Let p be 4/(65/(-10) - (-3 - 4)). Factor 12*z + 5*z**3 - 4 + p + w*z**2 - z**3.
4*(z + 1)**3
Let b(w) be the first derivative of -2*w**5/25 - w**4/5 + 2*w**3/5 + 4*w**2/5 - 8*w/5 - 46. Solve b(x) = 0.
-2, 1
Let n(x) be the third derivative of -x**5/330 + x**4/66 + x**3/11 + 149*x**2 + 2. Find k such that n(k) = 0.
-1, 3
Let u(o) be the second derivative of o**6/75 + 3*o**5/25 - 2*o**4/5 - 88*o**3/15 - 96*o**2/5 + 586*o. Factor u(r).
2*(r - 4)*(r + 2)**2*(r + 6)/5
Solve -28/5 - 1/5*f**2 - 16/5*f = 0 for f.
-14, -2
Let j(m) = -m**3 + 18*m**2 + 103*m - 2036. Let h be j(17). Factor -4/5*d**h + 0*d**2 - 4/5*d**3 + 0*d + 0.
-4*d**3*(d + 1)/5
Suppose 148/5*x**2 - 294/5 + 2/5*x**4 + 32/5*x**3 + 112/5*x = 0. What is x?
-7, -3, 1
Let l(n) = n**2 + 5*n - 34. Let s be l(-9). Let k(t) be the first derivative of 1/3*t - 2/9*t**3 + 0*t**s + 1/15*t**5 + 0*t**4 - 4. Factor k(a).
(a - 1)**2*(a + 1)**2/3
Let c(q) be the second derivative of -q**4/24 - 3*q**3/4 - 9*q**2/2 - 45*q + 2. Suppose c(w) = 0. Calculate w.
-6, -3
Let z(g) be the first derivative of g**6/12 - g**5/10 - 7*g**4/4 + 14*g**3/3 + 2*g**2 - 16*g + 215. Factor z(q).
(q - 2)**3*(q + 1)*(q + 4)/2
Let d be (-2)/(-1) + -1 - ((-78)/4 - -18). Factor 1/2*j**2 - d*j + 2.
(j - 4)*(j - 1)/2
Factor -1/2*j**3 - 37/8*j**2 - 9/2 + 1/8*j**4 - 17/2*j.
(j - 9)*(j + 1)*(j + 2)**2/8
Let m(n) be the third derivative of -n**8/840 + 104*n**7/175 - 2704*n**6/25 + 562432*n**5/75 - 111*n**2. Suppose m(r) = 0. What is r?
0, 104
Suppose -2*a = -0*a - 3*d - 2, 22 = 5*a + d. Solve 6*v**2 + 2*v + a*v**3 + v - v**