k - 98)**2
Let m(t) = 32*t + 643. Let u be m(-20). Let w(r) be the second derivative of 0 + 0*r**2 - 1/18*r**4 + 12*r - 4/9*r**u. Factor w(g).
-2*g*(g + 4)/3
Let r(b) be the second derivative of 0 + 1/160*b**5 - 3/32*b**4 - 22*b - b**2 + 1/2*b**3. Solve r(z) = 0.
1, 4
Let r be (-6293)/87 + 1*5. Let l = -64 - r. Suppose 5*h + 5/3*h**2 + l = 0. What is h?
-2, -1
Factor -16*a + 2*a**2 + 124 - 238 + 2*a**2 + 126.
4*(a - 3)*(a - 1)
Let y(z) be the third derivative of -47*z**6/1140 - 31*z**5/190 - 15*z**4/76 + z**3/57 + 553*z**2. Factor y(s).
-2*(s + 1)**2*(47*s - 1)/19
Let j be ((-6)/39)/(16/(-208)). Let x be (134/(-6))/(1/(-3)). Suppose 0*s**2 + 4*s**j - 4*s**3 + 12 + 87*s - x*s = 0. Calculate s.
-1, 3
Factor -14*u**2 + 12*u**5 - 11*u**5 - 16*u**3 + 14*u**4 - 5*u + 4*u + 16*u.
u*(u - 1)**2*(u + 1)*(u + 15)
Let q(a) = a - 3. Let y be q(5). Let n be (-23 + 21)*(-5)/2. Suppose -n*f**y - 5*f + 8*f - 3*f = 0. What is f?
0
Let w be 88/748 + 4/(-34). Let t(g) be the second derivative of 0 + 1/30*g**3 - 1/100*g**5 + 1/150*g**6 - 3*g - 1/60*g**4 + w*g**2. Factor t(u).
u*(u - 1)**2*(u + 1)/5
Let n = -418 + 1807. Let v = -9705/7 + n. Factor -12/7*m**2 + v*m + 0 + 2/7*m**3.
2*m*(m - 3)**2/7
Let d(l) be the third derivative of 2*l**7/105 - 64*l**6/15 + 1806*l**5/5 - 36980*l**4/3 - 159014*l**3/3 - l**2 - 53*l. Factor d(i).
4*(i - 43)**3*(i + 1)
Factor 4*w**2 + 111 - 315 - 106*w - 7*w**2 + w**2.
-2*(w + 2)*(w + 51)
Let v(y) = -8*y**3 + 26*y**2 + 22*y - 6. Let p(z) = 9*z**3 - 27*z**2 - 17*z + 5. Let f(s) = 6*p(s) + 5*v(s). Factor f(c).
2*c*(c - 2)*(7*c - 2)
Factor 8/3*s**3 + 16/3*s**2 + 0*s + 0 + 1/3*s**4.
s**2*(s + 4)**2/3
Let l(w) be the second derivative of -1/2*w**5 + 0 - 2*w + 0*w**2 + 1/6*w**6 + 0*w**3 + 5/12*w**4. Determine n, given that l(n) = 0.
0, 1
Let r(p) be the first derivative of p**5/30 + p**4/6 - p**3 + 8*p**2 - 9. Let s(b) be the second derivative of r(b). Factor s(h).
2*(h - 1)*(h + 3)
Solve -12/13*m**3 + 0 - 2/13*m**5 - 10/13*m**4 + 0*m**2 + 0*m = 0.
-3, -2, 0
Let y(z) be the second derivative of -z**5/120 + z**3/12 + 3*z**2/2 - 6*z. Let r(j) be the first derivative of y(j). Factor r(k).
-(k - 1)*(k + 1)/2
Factor 46/5*n - 2/5*n**2 - 84/5.
-2*(n - 21)*(n - 2)/5
Let m(q) be the first derivative of -2*q**3/21 - 80*q**2/7 + 328*q/7 + 740. Find g, given that m(g) = 0.
-82, 2
Let c(g) = -g**2 + 6*g. Let d be c(6). Suppose 2*z + 2*r = 2, -5*z = -d*z + 3*r - 9. Suppose 0 + 4*u - z*u**3 - 5*u**2 + 6 - u**2 - u = 0. What is u?
-2, -1, 1
Factor -10*s**2 + 4*s**3 + 92*s + 46*s**2 + 36*s**2 + 24*s**2.
4*s*(s + 1)*(s + 23)
Suppose -4*m + 1 = -5*f, 6*m - 4*f + 4 = 4*m. Find t such that 140*t + 25*t**3 + 150*t**2 + 18*t**5 - 33*t**5 + 40 - 27*t**m - 13*t**4 = 0.
-2, -1, -2/3, 2
Let 33/2*a**2 - 16*a - 1/2 = 0. Calculate a.
-1/33, 1
Let v(s) = -6*s**3 - s**2. Let b(x) = -x**3. Let r(z) = 35*b(z) - 5*v(z). Suppose r(f) = 0. Calculate f.
0, 1
Let k = 19649 + -98236/5. What is m in 7/5 - 3*m + k*m**2 - 1/5*m**3 = 0?
1, 7
Let t(r) be the second derivative of r**4/24 + r**3/3 - 71*r. What is c in t(c) = 0?
-4, 0
Let o(r) be the third derivative of -r**5/300 + r**4/24 + r**3/5 - 18*r**2. Determine z so that o(z) = 0.
-1, 6
Find o, given that -9/2*o**3 - 2*o**2 + 0 + 0*o - o**4 = 0.
-4, -1/2, 0
Let y(n) be the second derivative of -n**6/210 - 17*n**5/140 + 37*n**4/84 - 19*n**3/42 + 29*n - 4. Factor y(p).
-p*(p - 1)**2*(p + 19)/7
Factor -8/9*o**2 - 382/9*o + 32/3.
-2*(o + 48)*(4*o - 1)/9
Let c be 11 - (-7 + 250/15). Factor -4/3*i + 4/3*i**3 - 1/3*i**4 + c - i**2.
-(i - 2)**2*(i - 1)*(i + 1)/3
Suppose 16*k + 102 = -90. Let c be 50/40 + (-9)/k. Factor 4/13 + 2/13*l**3 - 2/13*l - 4/13*l**c.
2*(l - 2)*(l - 1)*(l + 1)/13
Let p(i) = 4*i**2 - 256*i - 99. Let m(q) = -q**2 + 86*q + 33. Let h(j) = 17*m(j) + 6*p(j). Factor h(t).
(t - 11)*(7*t + 3)
Solve -16/15*a**2 + 2/5*a**3 + 4/15*a**4 - 2/15*a**5 + 0 + 8/15*a = 0.
-2, 0, 1, 2
Let t(s) be the second derivative of s**5/120 + s**4/3 - s**3/36 - 2*s**2 + 69*s. Factor t(y).
(y - 1)*(y + 1)*(y + 24)/6
Let s be 3 + 580/(-50) + 11. Find x, given that -s + 3/5*x**2 + 0*x = 0.
-2, 2
Suppose o - o = -2*o. Suppose o*s = 5*s - 20. Find v such that 0*v - 1/2*v**2 + 1/4*v**s + 0*v**3 + 1/4 = 0.
-1, 1
Let m(r) be the first derivative of -r**5/15 + 8*r**4/3 - 122*r**3/3 + 880*r**2/3 - 3025*r/3 + 333. Factor m(c).
-(c - 11)**2*(c - 5)**2/3
Let d be (-11 - -11 - (-8 + 2)) + 4. Let h(u) be the second derivative of 0 + 0*u**3 - d*u - 1/36*u**4 + 1/6*u**2. Factor h(y).
-(y - 1)*(y + 1)/3
Let c(a) be the first derivative of -9*a**4 - 20*a**3 - 14*a**2 - 4*a + 209. Factor c(g).
-4*(g + 1)*(3*g + 1)**2
Factor k**2 + 24 - 3*k**2 - 16*k**2 + 10*k**2 + 20*k - 4*k**3.
-4*(k - 2)*(k + 1)*(k + 3)
Let q(d) be the second derivative of -d**4/24 - d**3 - 35*d**2/4 + d + 14. Determine o, given that q(o) = 0.
-7, -5
Let i be (-2)/(-18)*3*-3 + 3. Let q(b) be the third derivative of -1/24*b**3 + 0 + 0*b - 3*b**i + 1/120*b**5 - 1/96*b**4. Factor q(v).
(v - 1)*(2*v + 1)/4
Determine s so that -2*s**2 - 232*s - 960 + 1227 - 4341 - 2654 = 0.
-58
Let q(i) be the third derivative of i**7/45 - 107*i**6/180 + 89*i**5/15 - 25*i**4 + 24*i**3 + 40*i**2 + 3*i. Suppose q(w) = 0. Calculate w.
2/7, 3, 6
Let s(a) be the first derivative of 9/5*a**5 + 0*a - 21 - 4*a**3 - 15/4*a**4 + 6*a**2. Factor s(n).
3*n*(n - 2)*(n + 1)*(3*n - 2)
Let p be 1/3 + (-12)/(-3) + 5035/636. Determine q so that -p*q**2 - 1/4 + 7/2*q = 0.
1/7
Let c(b) be the third derivative of -b**7/105 - b**6/60 + b**5/30 + b**4/12 + 95*b**2. Determine o, given that c(o) = 0.
-1, 0, 1
Find r such that -2*r**2 + 7*r**2 + 60 + r**2 - r**2 + 40*r = 0.
-6, -2
Let q(h) be the first derivative of -4*h**3/3 - 16*h + 3. Let z(p) = p. Let t(k) = q(k) + 16*z(k). Suppose t(j) = 0. What is j?
2
Let 2/3*d - 14*d**2 + 0 + 41/6*d**3 = 0. Calculate d.
0, 2/41, 2
Let w(b) be the second derivative of 3/2*b**2 - 1/9*b**3 - 6*b + 1/24*b**4 - 1/180*b**5 + 0. Let k(v) be the first derivative of w(v). Factor k(g).
-(g - 2)*(g - 1)/3
Factor 1 - 7/2*y - 5/2*y**3 + 1/2*y**4 + 9/2*y**2.
(y - 2)*(y - 1)**3/2
Let t(p) = p**3 - 3. Let l be t(3). Let u be ((-3)/(-6))/(2/l). Determine r so that -u + 4 + 6*r - r**2 - 3*r = 0.
1, 2
Suppose -2/5 - 16/5*j**4 - 6*j**2 - 13/5*j - 3/5*j**5 - 32/5*j**3 = 0. What is j?
-2, -1, -1/3
Let i(u) be the second derivative of u**8/504 - u**7/315 - u**6/180 + u**5/90 + 2*u**2 + 7*u. Let p(g) be the first derivative of i(g). Factor p(n).
2*n**2*(n - 1)**2*(n + 1)/3
Let b(c) be the first derivative of -2*c**6/3 - 36*c**5/5 + 11*c**4 + 12*c**3 - 20*c**2 + 200. Solve b(r) = 0 for r.
-10, -1, 0, 1
Let h(t) = -29*t - 486. Let a be h(-17). Let m(q) be the second derivative of 1/21*q**4 + 0 + 0*q**2 - a*q - 1/70*q**5 + 0*q**3. Solve m(u) = 0 for u.
0, 2
Let w(k) = k**4 + k**3 - k**2 + 1. Let f(i) = 60*i**5 + 129*i**4 - 51*i**3 - 102*i**2 + 36*i + 18. Let x(y) = f(y) - 18*w(y). Determine c so that x(c) = 0.
-2, -1, 0, 2/5, 3/4
Let w(l) be the first derivative of l**4/42 + 10*l**3/63 + 2*l**2/21 - 16*l/21 + 89. Factor w(x).
2*(x - 1)*(x + 2)*(x + 4)/21
Let o(h) be the first derivative of -h**3/6 + h/2 + 79. Factor o(a).
-(a - 1)*(a + 1)/2
Let -5/2*y**2 - 3 + 1/4*y**3 - 23/4*y = 0. What is y?
-1, 12
Let a(s) be the third derivative of s**7/75 + 13*s**6/150 + 13*s**5/150 - s**4/10 - 18*s**2 - 1. Determine x so that a(x) = 0.
-3, -1, 0, 2/7
Factor 2/3*m**2 + 0 + 0*m - 1/3*m**3 - 7*m**4.
-m**2*(3*m + 1)*(7*m - 2)/3
Find m such that 28*m**3 + 2 - 2*m**2 + 2*m**2 - 4*m**2 + 11*m**5 - 35*m**4 - 2 = 0.
0, 2/11, 1, 2
Let q be -1 - ((-1)/(-2) - (-2204)/8). Let o = q + 1393/5. Factor -4/5 - o*k**2 - 2*k - 2/5*k**3.
-2*(k + 1)**2*(k + 2)/5
Let i be 120/90*(-9)/(-60). Let z(j) be the second derivative of 0 - 7*j + 0*j**2 + i*j**5 + 8/9*j**4 + 8/9*j**3. Let z(u) = 0. Calculate u.
-2, -2/3, 0
Let u(w) = 2*w**2 - 108*w + 1440. Let n(q) = -2*q**2 + 108*q - 1446. Let x(a) = 3*n(a) + 2*u(a). Factor x(g).
-2*(g - 27)**2
Suppose 17*k + 15 = 12*k. Let v be k + (-2)/(-4)*5*2. Factor 0*h**v + 0 - 1/8*h**3 + 0*h.
-h**3/8
Let m(h) be the second derivative of h**5/24 - 5*h**4/12 - 35*h**3/4 + 490*h**2/3 - h + 163. Factor m(g).
5*(g - 7)**2*(g + 8)/6
Suppose -13*n + 15*n + 36 = 0. Let x = n - -20. Let -g**5 - g**4 + 2*g**4 + 3*g**3 + 0*g**5 + 57*g**2 