ose -c = -2*b + b. Factor 2*s**b - 3*s - 3*s**5 - s**3 - 2 + 5*s**3 + 2*s**2.
-(s - 2)*(s - 1)*(s + 1)**3
Suppose -3/2*s**3 - 3/4 - 7/2*s**2 + 1/4*s**5 - 11/4*s + 1/4*s**4 = 0. Calculate s.
-1, 3
Let y(x) = -x**3 - 4*x**2 - 6*x - 6. Let s be y(-5). Suppose 0 = -8*g - 17 + s. Factor 2*o**3 + 15*o**2 - 6*o**2 - 11*o**2 - g*o.
2*o*(o - 2)*(o + 1)
Let d(r) be the first derivative of r**6/14 + 78*r**5/35 + 249*r**4/14 - 76*r**3/7 - 195*r**2/2 + 1014*r/7 - 154. What is x in d(x) = 0?
-13, -2, 1
Let s(j) be the third derivative of j**5/100 + 3*j**4/40 + 25*j**2 - 4. Suppose s(v) = 0. Calculate v.
-3, 0
Let w(g) be the third derivative of 0 + 0*g - 1/525*g**7 + 11/60*g**4 - 3*g**2 + 3/50*g**5 + 1/300*g**6 + 4/15*g**3. Factor w(z).
-2*(z - 4)*(z + 1)**3/5
Let k(r) = -r**4 + r**2 - 1. Let j(y) = -y**5 + 9*y**4 - 21*y**2 + 16*y + 5. Suppose 26*o - 30*o = 4. Let g(v) = o*j(v) - 5*k(v). Solve g(h) = 0.
-2, 0, 2
Let v(d) = 2*d**2 - 56*d - 117. Let o be v(30). Solve 0 + 0*h - 1/2*h**4 + h**2 - 1/2*h**o = 0.
-2, 0, 1
Suppose 22 = 2*m + 3*p, -5*m = -2*p + 185 - 183. Determine z, given that -4/5*z**3 - 24/5*z + 8/5 + 18/5*z**m = 0.
1/2, 2
Factor -242/3*f**2 + 286/3*f**3 - 46/3*f**4 + 2/3*f**5 + 0 + 0*f.
2*f**2*(f - 11)**2*(f - 1)/3
Let j(a) be the third derivative of 0 + 6*a**2 + 1/150*a**5 + 0*a - 1/30*a**4 - 1/5*a**3. Determine b, given that j(b) = 0.
-1, 3
Let u be 45/(-75) - (-130)/50. Determine y, given that 0 + 6/7*y + 3/7*y**4 - 6/7*y**5 + 18/7*y**3 - 3*y**u = 0.
-2, 0, 1/2, 1
Let s(w) be the third derivative of -w**5/48 - 5*w**4/32 + 15*w**3/4 + 5*w**2 - 4. Factor s(t).
-5*(t - 3)*(t + 6)/4
Let l(u) be the third derivative of 9*u**2 - 1/30*u**6 + 0 + 1/10*u**5 - 1/3*u**3 + 0*u + 0*u**4. Factor l(r).
-2*(r - 1)**2*(2*r + 1)
Let c(r) = -27*r**3 - 6*r**2 - 7. Let w be (8/(-10))/(10/25). Let n(o) = -9*o**3 - 2*o**2 - 2. Let k(b) = w*c(b) + 7*n(b). Suppose k(a) = 0. What is a?
-2/9, 0
Let a(t) = -11*t**2 - 5*t - 3. Let p(w) = -5*w**2 - 2*w - 1. Let i(b) = -4*a(b) + 9*p(b). What is y in i(y) = 0?
-1, 3
Let a(p) = 13*p**2 + 15*p - 11. Let j(m) = 7*m**2 + 8*m - 6. Let l = 25 + -36. Let y(n) = l*j(n) + 6*a(n). Factor y(b).
b*(b + 2)
Let n(c) be the second derivative of -1/20*c**5 - 1/12*c**4 + 1/3*c**3 + 0 + 35*c + 0*c**2. Let n(o) = 0. What is o?
-2, 0, 1
Let g = -719 + 722. Let w(n) be the first derivative of 0*n**g - 3/4*n**4 + 0*n - 6 + 3/2*n**2. Factor w(l).
-3*l*(l - 1)*(l + 1)
Let c(g) be the first derivative of -5*g**3/3 - 865*g**2/2 + 870*g + 33. Factor c(u).
-5*(u - 1)*(u + 174)
Let c(n) be the first derivative of 5*n**4/4 + 55*n**3/3 + 95*n**2/2 + 45*n - 571. Factor c(b).
5*(b + 1)**2*(b + 9)
Let g(q) be the first derivative of q**4 + 2*q**2 + 32/9*q**3 - 26 - 8/3*q. Factor g(w).
4*(w + 1)*(w + 2)*(3*w - 1)/3
Let q be ((-2)/7)/(7/(-49)) + -2. Let z(k) be the third derivative of -3/13*k**3 + 5/26*k**4 + 0*k - 5/78*k**5 + q - k**2. Solve z(c) = 0 for c.
3/5
Suppose 3*z = -3*v, v + 13 = 3*z - 3. Let c(y) be the second derivative of 0*y**5 + 0*y**2 + 0*y**3 - 1/15*y**6 - 5*y + 0 + 0*y**z. Solve c(b) = 0.
0
Let w(f) = -f**5 - 20*f**4 + 42*f**3 - 41*f**2 + 17*f - 3. Let x(s) = s**5 + 40*s**4 - 86*s**3 + 83*s**2 - 33*s + 5. Let t(v) = -5*w(v) - 3*x(v). Factor t(i).
2*i*(i - 7)*(i - 1)**3
Let x be (0/(-1))/(-1 + -1). Suppose 3*w - 4*u - 24 = -x*u, 4*w - 32 = u. What is q in 21*q - w + 8 - 9*q - 4*q**2 = 0?
0, 3
Let p = -24 - -27. Let w be p/(((-21)/(-2))/7). Solve 7*k + 8 - w + 10*k + 3*k**2 - 8*k = 0 for k.
-2, -1
Factor -16/5*i - 14/5 - 2/5*i**2.
-2*(i + 1)*(i + 7)/5
Let v = 8 + 2. Let m be ((-36)/105)/((-3)/v). Let -2/7*j**2 + m*j - 6/7 = 0. Calculate j.
1, 3
Let z = 4/55 + -1/44. Let f(g) be the second derivative of 0*g**3 + 1/8*g**4 + 5*g - z*g**5 + 0 - 1/4*g**2. Find w such that f(w) = 0.
-1/2, 1
Let d be ((-4)/10 + (-198)/(-385))*(-400)/(-96). Let d*q**3 - 2/7*q**4 - 2/21*q - 2/21*q**2 + 0 = 0. What is q?
-1/3, 0, 1
Let c(p) be the second derivative of p**6/2 + p**5 - 5*p**4/12 + 8*p. Let b(s) = s**3. Let z(m) = 30*b(m) - c(m). Determine x so that z(x) = 0.
-1/3, 0, 1
Find r, given that -762 + 10 - 215*r + 62 - 3*r**2 + 8*r**2 = 0.
-3, 46
Let o(i) be the third derivative of 0*i**6 - 1/70*i**7 - 8*i**3 - 4*i**2 + 0*i + 0*i**4 + 0 + 2/5*i**5. Find z, given that o(z) = 0.
-2, 2
Let n = -115 - -55. Let i = n - -64. Factor -1/3*g**2 - g**i + 0 - 1/3*g + 5/3*g**3.
-g*(g - 1)**2*(3*g + 1)/3
Let p(x) be the second derivative of 2*x**6/45 - 2*x**5/15 - x**4/3 + 8*x**3/9 + 8*x**2/3 + 21*x - 2. Determine c so that p(c) = 0.
-1, 2
Let t = -1111 + 1113. Let s(n) be the second derivative of 0 + 1/9*n**3 + 3*n + 0*n**t - 1/18*n**4. Factor s(z).
-2*z*(z - 1)/3
Factor 3/4*q + 1/4*q**4 - 1/2 + 1/4*q**2 - 3/4*q**3.
(q - 2)*(q - 1)**2*(q + 1)/4
Let n(s) be the first derivative of s**6/45 + s**5/6 + s**4/3 - 20*s - 22. Let i(x) be the first derivative of n(x). Solve i(b) = 0 for b.
-3, -2, 0
Let h = -6008/9 - -668. Factor -2/9 - 2/9*c**2 - h*c.
-2*(c + 1)**2/9
Find f such that -6*f**2 - 11*f - 57 + 3*f**2 + 48*f + 23*f = 0.
1, 19
Let h(y) be the first derivative of -3/8*y**2 - 9/2*y + 1/4*y**3 - 35. Factor h(c).
3*(c - 3)*(c + 2)/4
Suppose -1/4*d**3 + 7/4*d**2 + 1/4*d - 7/4 = 0. Calculate d.
-1, 1, 7
Factor -410*g + 147*g - 2*g**2 + 162 + 92*g + 123*g.
-2*(g - 3)*(g + 27)
Factor -5*x - 3*x**2 + 9*x**2 + 3*x + 4*x**2.
2*x*(5*x - 1)
Let r(z) = -4*z**2 - 437*z + 7771. Let b(f) = -7*f**2 - 656*f + 11656. Let q(v) = -5*b(v) + 8*r(v). Factor q(c).
3*(c - 36)**2
Let x(i) be the second derivative of -i**5/210 + i**4/6 - 7*i**3/3 - 7*i**2/2 + 16*i. Let q(v) be the first derivative of x(v). Solve q(h) = 0 for h.
7
Let n(z) be the first derivative of -z**5/10 - z**4/3 + z**3/3 + 2*z**2 - 13*z - 13. Let o(m) be the first derivative of n(m). Determine w, given that o(w) = 0.
-2, -1, 1
Let s(h) = h**4 - h**3 - h**2. Let t(o) = -1060*o**4 + 6166*o**3 - 8424*o**2 - 1608*o - 72. Let u(n) = -2*s(n) - t(n). Factor u(y).
2*(y - 3)**2*(23*y + 2)**2
Suppose 0 = 39*i - 42*i. Let l(d) be the third derivative of -d**3 + 1/8*d**4 + 1/20*d**5 + i + 0*d - 5*d**2. Factor l(g).
3*(g - 1)*(g + 2)
Determine y, given that 1/3*y**4 - 1/3*y**2 - 1/6*y**3 + 0 + 1/6*y = 0.
-1, 0, 1/2, 1
Let c = -221/7 + 32. Let z = 56842 + -397885/7. Find x such that 9/7*x**3 - 3/7*x**4 - c*x**2 - z*x + 6/7 = 0.
-1, 1, 2
Suppose 0 + 800/13*f - 880/13*f**2 - 2/13*f**4 + 82/13*f**3 = 0. What is f?
0, 1, 20
Let r(q) be the first derivative of -4*q**3/3 + 98*q**2 + 137. What is z in r(z) = 0?
0, 49
Let h(m) be the first derivative of -8 - 4/5*m - 3/5*m**2 - 2/15*m**3. Factor h(w).
-2*(w + 1)*(w + 2)/5
Let i(m) = m**3 - 5*m**2 - 7*m - 4. Let s be i(6). Let x = -6 - s. Let 6 - 3 + 0 - 7 - x*w**2 - 8*w = 0. Calculate w.
-1
Let q(n) be the third derivative of n**9/35280 + n**8/7840 - n**7/1176 - n**6/280 - 5*n**4/6 + 16*n**2. Let c(l) be the second derivative of q(l). Factor c(s).
3*s*(s - 2)*(s + 1)*(s + 3)/7
Let x = 153 - 147. Let q be -2*x*(-2 - (-39)/21). Find t such that 0 + 12/7*t**2 + 4/7*t**4 + q*t**3 + 4/7*t = 0.
-1, 0
Let k(o) = 5*o + 65. Let n(c) = 11*c + 132. Let h(a) = -5*k(a) + 2*n(a). Let r be h(-21). Factor -1/5*y**r + 0*y + 0.
-y**2/5
Let o(r) be the first derivative of 3*r**5/10 - 9*r**4/4 + 2*r**3 + 9*r**2/2 - 15*r/2 - 62. Factor o(u).
3*(u - 5)*(u - 1)**2*(u + 1)/2
Let r(g) be the first derivative of -2*g**7/21 - 4*g**6/5 - 13*g**5/5 - 4*g**4 - 8*g**3/3 - 30*g + 2. Let w(d) be the first derivative of r(d). Factor w(n).
-4*n*(n + 1)**2*(n + 2)**2
Suppose -46/7*r - 2/7*r**3 - 20/7*r**2 - 4 = 0. Calculate r.
-7, -2, -1
Let k(d) be the second derivative of 5*d**7/14 + 13*d**6/6 + 19*d**5/4 + 55*d**4/12 + 5*d**3/3 + 13*d + 4. Determine p, given that k(p) = 0.
-2, -1, -1/3, 0
Let h(g) be the third derivative of -g**7/490 - g**6/280 + g**5/70 - 97*g**2. Let h(z) = 0. What is z?
-2, 0, 1
Let l be ((-22)/(-64)*-4)/(3 + (-19)/6). Find y such that 9/4*y**4 + 1/4*y**5 + 15/2*y**3 + 23/2*y**2 + l*y + 9/4 = 0.
-3, -1
Suppose 4*g - 4*q - 20 = 0, -3*g = -9*q + 4*q - 21. Factor 0*t**2 + 32 - 34 + 2*t**g.
2*(t - 1)*(t + 1)
Let x(g) be the third derivative of g**7/5040 - g**6/480 + g**5/120 - 3*g**4/4 - 8*g**2. Let q(h) be the second derivative of x(h). Solve q(l) = 0 for l.
1, 2
Let r = -86 + 91. Let 9*l**2 - 4*l**3 + 0*l - l 