+ 1)
Suppose 1123*n - 51 + 132 = 1150*n. Factor -n*h + 3/2*h**2 - 9/2.
3*(h - 3)*(h + 1)/2
Let j(t) be the first derivative of t**5/45 + t**4/3 - 17*t**2/2 - 22. Let f(y) be the second derivative of j(y). Factor f(i).
4*i*(i + 6)/3
Let s(q) be the second derivative of 0 + 5*q**2 - 5/2*q**3 + 5*q + 5/12*q**4. Let s(u) = 0. What is u?
1, 2
Let a(d) = d**3 - 6*d**2 + 2*d - 7. Let u be a(6). Let p = 434 + -430. Factor -3*i**u - 7*i**4 - 15*i**4 + 4*i**2 - 2 + 20*i**4 + i**5 + p*i**3 - 2*i.
-2*(i - 1)**2*(i + 1)**3
Let t(h) = 40*h - 4. Let i be t(1). Let u = 39 - i. What is z in 3*z**2 - 24/7*z + 51/7*z**u - 9/7*z**4 - 27/7*z**5 - 12/7 = 0?
-1, -2/3, 1
Let t(c) = c**2 + 10*c - 17. Let b be t(-12). Factor -4 + o**2 + b + o**3 + 0*o**2 - 5*o.
(o - 1)**2*(o + 3)
Let q(l) be the third derivative of -l**8/2240 + l**6/240 + 3*l**4/8 - l**2. Let b(y) be the second derivative of q(y). Determine n so that b(n) = 0.
-1, 0, 1
Let d be -1*(-5 + -1 - -4). Find s, given that 8*s**d + 700 + 10*s**2 + 30*s + 2*s**3 - 686 = 0.
-7, -1
Let z(x) = -x + 1. Let k be z(2). Let q = 1 - k. Suppose -10*i - 4*i**2 + i**q + i + 0*i**2 = 0. Calculate i.
-3, 0
Let n(r) = 4*r**5 - 29*r**4 + 16*r**3 - 11*r**2 + 5*r. Let t(d) = -3*d**5 + 30*d**4 - 15*d**3 + 12*d**2 - 6*d. Let f(b) = 6*n(b) + 5*t(b). Solve f(k) = 0 for k.
0, 2/3, 1
Let z = 12 - 7. Suppose 0 = o + z - 8. Let 2*r - r**4 - r - 2*r**3 + 2*r**3 + r**2 - r**o = 0. What is r?
-1, 0, 1
Factor 56193 + 74405*p**2 + 3138 - 152520*p + 14*p**4 + 17549 + 1230*p**3 - 9*p**4.
5*(p - 1)**2*(p + 124)**2
Suppose 774 = 10*m + 248*m. What is p in 0*p - 4/3*p**m - 4*p**2 + 16/3 = 0?
-2, 1
Let k(c) be the first derivative of c**7/315 + c**6/180 - 2*c**5/45 - c**4/9 - 5*c**2 + 3. Let y(q) be the second derivative of k(q). Factor y(w).
2*w*(w - 2)*(w + 1)*(w + 2)/3
Let r(c) be the first derivative of -5*c**6/6 - 4*c**5 + 80*c**3/3 + 40*c**2 + 179. Factor r(g).
-5*g*(g - 2)*(g + 2)**3
Suppose -2*b = 4*b - 0*b. Suppose b = -4*z - 12*z + 48. Factor -2*v**2 + 8/3 - 2/3*v**z + 0*v.
-2*(v - 1)*(v + 2)**2/3
Let c(q) be the third derivative of 0*q**3 + 12*q**2 + 0*q**4 + 0 - 1/45*q**6 + 0*q + 1/45*q**5. Let c(d) = 0. What is d?
0, 1/2
Let s(z) be the first derivative of z**6/18 + z**5/10 + z**4/36 - 2*z - 3. Let j(a) be the first derivative of s(a). Factor j(o).
o**2*(o + 1)*(5*o + 1)/3
Let x(d) be the third derivative of d**7/14 - 19*d**6/120 + d**5/60 + d**4/8 + 181*d**2. Find m, given that x(m) = 0.
-1/3, 0, 3/5, 1
Solve 0 - 13/3*h**2 + 5/3*h**4 - 1/3*h**5 - 10/3*h + h**3 = 0.
-1, 0, 2, 5
Let q(z) be the third derivative of z**6/40 - z**5/4 - z**4/8 + 5*z**3/2 + 84*z**2. Find j, given that q(j) = 0.
-1, 1, 5
Let s(m) = -12*m. Let y be 6/(-12) + (-3)/2. Let k be s(y). Solve -6*x**3 + 7*x**3 - 20*x**4 + 2*x**4 - k*x**5 + 8*x**3 + 3*x**2 = 0 for x.
-1, -1/4, 0, 1/2
Let w(b) be the second derivative of 1/252*b**7 - 1/45*b**6 + 1/6*b**2 - 2*b - 5/36*b**3 + 1/36*b**4 + 1/30*b**5 + 0. Factor w(z).
(z - 2)*(z - 1)**3*(z + 1)/6
Let t(o) = -3*o**3 - 5*o**2 - 2*o + 4. Let d(z) = 2*z**3 + 4*z**2 + 2*z - 3. Let k(y) = 4*d(y) + 3*t(y). Solve k(g) = 0 for g.
-1, 0, 2
Let m(a) be the first derivative of a**5/70 + a**4/21 + a**3/21 - 40*a + 35. Let p(g) be the first derivative of m(g). Factor p(v).
2*v*(v + 1)**2/7
Let y(r) be the second derivative of -215*r**4/36 + 24*r**3 - 2*r**2/3 + 2*r - 229. What is l in y(l) = 0?
2/215, 2
Let x(c) be the third derivative of c**5/90 - c**4/36 - 2*c**3/3 + c**2 + 10. Factor x(z).
2*(z - 3)*(z + 2)/3
Let t(r) = 2*r**2 - 4*r + 5. Let q be t(2). Let u(a) be the third derivative of 0*a + 1/6*a**4 - 6*a**2 - 1/90*a**q - a**3 + 0. Factor u(h).
-2*(h - 3)**2/3
Let w(f) be the third derivative of 0*f**5 + 0*f + 3/56*f**4 - 15*f**2 + 0 - 1/280*f**6 - 1/7*f**3. Find y such that w(y) = 0.
-2, 1
Factor -4/7 - 4/7*y**4 - 4/7*y - 4/7*y**5 + 8/7*y**3 + 8/7*y**2.
-4*(y - 1)**2*(y + 1)**3/7
Let l(j) be the second derivative of j**6/540 + j**5/15 + j**4 - j**3/3 + 18*j. Let q(a) be the second derivative of l(a). Let q(i) = 0. Calculate i.
-6
Let u = 454816/35 - 12996. Let q = -6/7 - u. Factor 0*v + 0 - 1/5*v**3 - q*v**2 - v**5 + 8/5*v**4.
-v**2*(v - 1)**2*(5*v + 2)/5
Suppose 164*h = 153*h + 22. Let x(v) be the first derivative of 0*v**2 + 1/12*v**4 - h + 0*v - 1/9*v**3. Find r, given that x(r) = 0.
0, 1
Suppose 22*w - 75 = -9. Let f(l) be the second derivative of -1/3*l**w + 0*l**4 + 0 + 1/10*l**5 - 4*l + 0*l**2. Factor f(r).
2*r*(r - 1)*(r + 1)
Let j(d) = d**3. Let l(r) = 8 - 8 + 4*r - 5*r. Let x(q) = 9*q**3 + 3*q**2 + q - 3. Let i(n) = -2*l(n) + x(n). Let s(g) = i(g) - 12*j(g). Factor s(h).
-3*(h - 1)**2*(h + 1)
Solve -23 + 45*r**3 - 30*r**5 - 10*r + 3*r**4 + 23 + 69*r**2 + 40*r + 27*r**5 = 0 for r.
-2, -1, 0, 5
Let j(m) be the third derivative of 0 - 1/24*m**6 - 5/12*m**5 + 0*m + 5/24*m**4 + 7*m**2 + 25/6*m**3. Suppose j(k) = 0. Calculate k.
-5, -1, 1
Let q(r) be the first derivative of 2*r + 0*r**3 + 2 + 1/30*r**4 + 0*r**2. Let g(y) be the first derivative of q(y). Solve g(l) = 0.
0
Let c = -7473 - -67261/9. Determine g, given that 0 + 2/3*g**2 - c*g - 2/9*g**3 = 0.
0, 1, 2
Let v = 54 + -14. Let y be (-2)/(-8)*64/v. Factor 0 - 2/5*f**4 - y*f**3 + 2/5*f + 2/5*f**2.
-2*f*(f - 1)*(f + 1)**2/5
Let d(w) = -w**3 + w**2 - 3*w - 2. Let g be d(-2). Factor 4*i**5 - 32*i**4 - 7 + g*i - 112*i**2 - 9 + 22*i**3 + 52*i + 66*i**3.
4*(i - 4)*(i - 1)**4
What is b in -177*b - 5*b**4 + 65*b**2 - 118*b + 235*b = 0?
-4, 0, 1, 3
Factor -1/2 - 1/2*j**2 - j.
-(j + 1)**2/2
Let t(r) = r**4 - r**3 - r**2. Let w(o) = -7*o - 2 + 2 + 5*o. Let c(s) = -4*t(s) + 2*w(s). What is x in c(x) = 0?
-1, 0, 1
Let j(a) be the third derivative of 0*a + 2*a**2 + 1/108*a**4 + 1/270*a**5 + 0*a**3 + 0. Factor j(v).
2*v*(v + 1)/9
Let d(q) be the first derivative of -5/2*q**2 + 0*q**3 + 1/8*q**4 + 4 + 0*q + 1/10*q**6 + 1/4*q**5. Let p(y) be the second derivative of d(y). Factor p(n).
3*n*(n + 1)*(4*n + 1)
Let d(j) be the first derivative of 363*j**4/4 + 11*j**3 - 144*j**2 - 108*j + 22. Factor d(p).
3*(p - 1)*(11*p + 6)**2
Suppose 3*j - 2*j - 18 = 0. Suppose -j = -4*d - 6. Factor -7*c**5 + 2*c + 6*c**5 + 2*c**3 - d*c.
-c*(c - 1)**2*(c + 1)**2
Let v = -192 - -222. Let j be ((-6)/(0 - v))/((-8)/(-30)). Let j - 3/4*t**2 - 3/4*t**3 + 3/4*t = 0. What is t?
-1, 1
Let z(p) be the second derivative of p**7/105 - 8*p**6/75 + 3*p**5/10 + 2*p**4/15 - 4*p**3/3 - 22*p. Find g such that z(g) = 0.
-1, 0, 2, 5
Let f be 4 + 2/(-5)*-5. Let -3 + f*b + b**5 - 25*b**2 + 5*b - 1 + 5*b - 7*b**4 + 19*b**3 = 0. What is b?
1, 2
Let w(o) be the second derivative of 1/18*o**3 + 1/120*o**5 + 0 - 9*o - 1/24*o**4 + 0*o**2. Factor w(i).
i*(i - 2)*(i - 1)/6
Let s(h) = -h**4 + h**3 + h + 1. Suppose 5*g + 2 = -3. Let y(d) = -12*d**4 + 44*d**3 - 54*d**2 + 24*d - 6. Let l(f) = g*y(f) - 2*s(f). Factor l(v).
2*(v - 1)**3*(7*v - 2)
Let y(b) be the first derivative of -2*b**7/35 + b**6/30 + b**5/5 - b**4/6 - 5*b**2 - 5. Let j(m) be the second derivative of y(m). Find f such that j(f) = 0.
-1, 0, 1/3, 1
Let g(p) be the first derivative of -10*p - 1/54*p**4 - 1/9*p**3 - 2 - 2/9*p**2. Let v(k) be the first derivative of g(k). Find f such that v(f) = 0.
-2, -1
Let d = -65 + 73. Suppose 0 = 7*g - 9*g + d. Solve -2/7 - 1/7*w**5 + 2/7*w**3 + w + 2/7*w**g - 8/7*w**2 = 0 for w.
-2, 1
Factor 3*w**5 + 33*w**3 - 6746 + 6746 - 18*w**4 - 18*w**2.
3*w**2*(w - 3)*(w - 2)*(w - 1)
Factor 3/2*c**5 + 24*c**4 + 135*c**3 + 375/2*c + 300*c**2 + 0.
3*c*(c + 1)*(c + 5)**3/2
Let o(n) = -66*n**2 + 70*n - 67. Let k(p) = 57*p**2 - 69*p + 66. Let h(i) = -7*k(i) - 6*o(i). Solve h(a) = 0.
1, 20
Let x be 12/10 - (1 - 0). Let l(y) be the first derivative of 2 - 1/25*y**5 + x*y**3 - 4/5*y + 1/10*y**4 - 2/5*y**2. Factor l(o).
-(o - 2)**2*(o + 1)**2/5
Let i be -168*6/(-8)*1. Let s be (-14)/(-63) + 548/i. Factor -2*j**3 - 22/7*j - s*j**2 - 4/7.
-2*(j + 1)**2*(7*j + 2)/7
Let -304/11*h**2 + 2/11*h**3 + 11552/11*h + 0 = 0. Calculate h.
0, 76
Suppose -4 = -5*q + 11. Suppose 2*n + 3 = q. Factor 2/5*x**5 + 4/5*x**4 + 0 + 0*x**3 + n*x**2 + 0*x.
2*x**4*(x + 2)/5
Let -252*v + 4*v**2 + 2500 - 184*v + 636*v = 0. Calculate v.
-25
Let r(i) be the second derivative of i**4/24 - 7*i**3/12 - 9*i**2/2 + i - 42. Factor r(s).
(s - 9)*(s + 2)/2
Let j(u) = 2*u**2 - 2*u + 1. Let a