 z(v) be the second derivative of v**6/15 - 4*v**5/5 + 19*v**4/6 - 4*v**3 - 185*v. Solve z(h) = 0.
0, 1, 3, 4
Suppose 31 = 4*x + 11. Suppose 4*t + x*p - 13 = 0, -3*t - 2*p + 11 = 3*p. Determine r so that 2*r**2 - 5*r**2 - 5*r**t + 4*r**2 + 4*r = 0.
0, 1
Suppose -30 = y + 5*v, 5*y - 2*y + 5*v + 110 = 0. Let f = 81/2 + y. Solve -x + 0*x**2 + f*x**4 + x**3 - 1/2 = 0.
-1, 1
Factor -64/3 + 4*w**2 + 2/3*w**3 + 0*w.
2*(w - 2)*(w + 4)**2/3
Let k(b) = -b**5 + b**4 + b**3 + b**2 + b + 1. Let w = -14 + 20. Let t(g) = -4*g**5 + g**4 + 4*g**3 + 5*g**2 + 3*g + 3. Let o(m) = w*k(m) - 2*t(m). Factor o(p).
2*p**2*(p - 1)*(p + 1)*(p + 2)
Let g(s) be the second derivative of 25*s + 0*s**3 - 2*s**2 + 0 + 1/12*s**4. Factor g(t).
(t - 2)*(t + 2)
Let j(i) be the third derivative of -5*i**8/21 - 10*i**7/7 - 17*i**6/6 - 23*i**5/12 + 5*i**4/8 + 5*i**3/3 - 86*i**2. Determine v, given that j(v) = 0.
-2, -1, -1/2, 1/4
Let k(x) be the second derivative of 2*x**7/21 - 2*x**6/15 - x**5/5 + x**4/3 + 6*x - 7. Factor k(p).
4*p**2*(p - 1)**2*(p + 1)
Let m(z) = z**3 + 9*z**2 + z + 11. Let l be m(-9). Find i, given that 19*i**3 + 23*i**l + 6*i**4 + 25*i**5 + 79*i**4 + 86*i**3 + 32*i**2 + 10*i = 0.
-1, -2/5, 0
Let j = -208 + 301. Let c be (j/45 - (-10)/(-15)) + -1. Let -c*s + 0 + 2/5*s**2 = 0. What is s?
0, 1
Let l(r) be the first derivative of -r**6/42 - 2*r**5/7 + 3*r**4/28 + 4*r**3/3 - 10*r**2/7 + 76. Suppose l(t) = 0. What is t?
-10, -2, 0, 1
Let c(w) be the third derivative of -1/10*w**6 + 32*w**2 - 4/9*w**3 + 2/105*w**7 + 23/54*w**4 - 7/135*w**5 + 0 + 0*w. Solve c(z) = 0 for z.
-1, 1/3, 2/3, 3
Let s be 1*(-27 - (4 - 6)). Let p = s + 29. Let 2*q**5 + 2*q**5 - q**4 + 4*q**4 + q**p = 0. Calculate q.
-1, 0
Let d(o) = -o**3 - 5*o**2 - 4*o + 3. Let z be d(-2). Let n(i) = i**2 - i - 1. Let g(l) = -25*l**2 - 5*l + 20. Let c(u) = z*g(u) - 20*n(u). Factor c(j).
5*j*(j + 5)
Let m(b) be the first derivative of b**7/28 - 9*b**5/40 - b**4/4 + 7*b - 6. Let f(g) be the first derivative of m(g). Let f(u) = 0. What is u?
-1, 0, 2
Let y = -3/1070 - -143/12840. Let o(j) be the third derivative of 5*j**2 + y*j**6 + 0 + 0*j - 1/20*j**5 - 1/6*j**3 + 1/8*j**4. Determine b so that o(b) = 0.
1
Solve 32*t**3 - 431*t + 3*t**3 - 327*t**3 + 447*t + 92*t**4 + 52*t**4 = 0 for t.
-2/9, 0, 1/4, 2
Let b be (-4)/(-14) + 38/63. Let m = -939 + 941. Determine q, given that -4/9 + 4/9*q**3 + b*q**m - 2/9*q - 4/9*q**4 - 2/9*q**5 = 0.
-2, -1, 1
Let m(k) be the second derivative of 1/6*k**4 + 0 - 4/3*k**3 + 3*k**2 - 15*k. Determine c so that m(c) = 0.
1, 3
Let r = 27 + -25. Factor 3*s**3 - 4*s + 2*s**r + 9*s**3 + 2*s**2 - 4*s**4 - 8*s.
-4*s*(s - 3)*(s - 1)*(s + 1)
Let i(n) be the third derivative of -n**7/3360 + n**6/720 + n**3/2 + 28*n**2. Let o(f) be the first derivative of i(f). Solve o(x) = 0 for x.
0, 2
Let u(a) be the second derivative of 0 - 1/48*a**4 - 3/8*a**2 + 4*a - 1/6*a**3. Factor u(d).
-(d + 1)*(d + 3)/4
Let k = 1070 + -1068. Factor 0*n**k + 0*n**3 + 0 - 1/3*n**4 + 0*n.
-n**4/3
Suppose 0 = -2*s + 6*s - 8. Find k such that 9*k**2 + 11*k**s - 16*k**2 - 8*k = 0.
0, 2
Let d(m) be the first derivative of m**3/7 + 9*m**2/14 + 6*m/7 + 7. Determine x, given that d(x) = 0.
-2, -1
Factor 2/3*m**2 - 4*m - 32/3.
2*(m - 8)*(m + 2)/3
Let j(f) = -f**3 - 5*f**2 + f + 7. Let y be j(-5). Let b be 1/(y/(-16)*-4). Suppose q**5 - 1/4*q**b - 2*q**4 + 5/4*q**3 + 0*q + 0 = 0. Calculate q.
0, 1/2, 1
Let x(l) = 5*l**4 - 2*l**3 - 4*l**2 + 1. Let c(h) = -42*h**4 + 17*h**3 + 33*h**2 - 8. Let i(u) = -6*c(u) - 51*x(u). Factor i(a).
-3*(a - 1)**2*(a + 1)**2
Suppose 2*v = v + 5*k + 7, -k = -2*v + 5. Let x be 1 + -3 + 0 + v. Factor 2/3*g + x*g**2 - 2/3*g**3 + 0.
-2*g*(g - 1)*(g + 1)/3
Let c(v) be the first derivative of -3/5*v + 1/10*v**6 + 18 + 3/10*v**4 + 9/25*v**5 - 2/5*v**3 - 9/10*v**2. Factor c(j).
3*(j - 1)*(j + 1)**4/5
Let b = -2/6979 + 55842/34895. Find t, given that -4/5*t**2 + 4/5*t + 2/5 + 4/5*t**5 + 2/5*t**4 - b*t**3 = 0.
-1, -1/2, 1
Let d(o) be the first derivative of o**6/15 + 12*o**5/25 - o**4/10 - 4*o**3/5 - 626. Determine s, given that d(s) = 0.
-6, -1, 0, 1
Let t = 584/3 + -192. Let j(q) be the first derivative of 14/3*q**2 + t*q - 1 + 10/3*q**3 + 3/4*q**4. Factor j(b).
(b + 2)*(3*b + 2)**2/3
Let y be -5 + ((-234)/15)/(196/(-70)). Suppose y*s + 4/7*s**2 - 4/7 - 4/7*s**3 = 0. Calculate s.
-1, 1
Let j(w) be the second derivative of w**7/210 + w**6/15 + 27*w**5/100 - 7*w**4/30 - 64*w**3/15 - 48*w**2/5 + 567*w. Find m, given that j(m) = 0.
-4, -3, -1, 2
Let g(w) be the second derivative of -w**6/30 - w**5/5 - w**4/4 + 2*w**3/3 + 2*w**2 - 81*w. Determine x so that g(x) = 0.
-2, -1, 1
Let n(r) = -2*r**5 + 28*r**4 - 50*r**3 + 18*r**2 + 3*r - 3. Let t(a) = 2*a**2 - a + 1. Let f(c) = -2*n(c) - 6*t(c). Factor f(l).
4*l**2*(l - 12)*(l - 1)**2
Factor -10*s**3 - 205/4*s**2 - 5 - 185/4*s.
-5*(s + 1)*(s + 4)*(8*s + 1)/4
Let y(r) = -13*r**2 - 36*r - 113. Suppose -4*s - 4*v = 20, 4*v = -5*s + 3*v - 25. Let n(z) = -15*z**2 - 36*z - 114. Let k(c) = s*n(c) + 6*y(c). Factor k(d).
-3*(d + 6)**2
Let f(y) be the second derivative of -17*y - 1/100*y**5 - 1/20*y**4 - 1/15*y**3 + 0*y**2 + 0. Let f(q) = 0. Calculate q.
-2, -1, 0
Suppose -5*x - 67 = -6*x. Suppose g - x = -19. Solve 90*p**3 + 8*p + g*p**2 - 5 - 9 + 14 + 50*p**4 = 0 for p.
-1, -2/5, 0
Suppose -5*y = b - 11, -4*b + 6 - 34 = -4*y. Let p(a) be the first derivative of 2*a + 2/3*a**y + 2 - 2*a**2. Factor p(f).
2*(f - 1)**2
Let c(l) = 3*l**5 + 14*l**4 - l**3 - 15*l**2 - 20*l - 8. Let k(g) = 2*g**3 + g**2. Let j(x) = 4*c(x) + 36*k(x). Let j(w) = 0. Calculate w.
-2, -1, -2/3, 1
Let c(y) be the second derivative of 0 + 1/90*y**6 - 1/3*y**4 + 1/30*y**5 + 0*y**2 - 5/6*y**3 - 3*y. Let m(w) be the second derivative of c(w). Factor m(x).
4*(x - 1)*(x + 2)
Let i = 8820 + -8817. Determine t so that 2/3*t + 0 + 1/3*t**i + t**2 = 0.
-2, -1, 0
Suppose -3/5*l**2 - 12/5*l - 9/5 = 0. Calculate l.
-3, -1
Find p, given that -p**3 + 73 + 35*p - 3*p**3 + p - 24*p**2 - 19 + 2*p**4 = 0.
-3, -1, 3
Let b(d) be the third derivative of 0 + 16*d**2 - 5/144*d**4 + 1/18*d**3 + 0*d + 1/90*d**5 - 1/720*d**6. Find c, given that b(c) = 0.
1, 2
Let v(g) = g + 7. Let r be v(-5). Factor 8*t - 16 - 5*t**3 + 2*t**2 + 3*t**3 - r*t**5 - 4*t**2 - 8*t**4 + 22*t**2.
-2*(t - 1)**2*(t + 2)**3
What is w in 23/7*w - 11/7*w**2 + 1/7*w**3 + 5 = 0?
-1, 5, 7
Let a be (-2)/(-10) + (-156)/30. Let u = 5 + a. Factor -4/13*r**3 + 0 + 0*r**2 + 2/13*r**5 + 2/13*r + u*r**4.
2*r*(r - 1)**2*(r + 1)**2/13
Let f(l) be the third derivative of l**8/168 + l**7/105 - l**6/60 - l**5/30 - 112*l**2 + 1. Factor f(t).
2*t**2*(t - 1)*(t + 1)**2
Suppose -152*a + 78*a + 16 = -206. Let -5/2*j**2 - 5*j + 5/2*j**4 + 0 + 5*j**a = 0. Calculate j.
-2, -1, 0, 1
Suppose -6*c = -40 + 10. Suppose 5*l = -d + 2*d, 2*l + 4*d = 0. Factor 50*z**4 + 10*z**3 + 2/3*z**2 + l*z + 250/3*z**c + 0.
2*z**2*(5*z + 1)**3/3
Let w = 1712 + -1712. Let n(x) be the third derivative of w*x - 1/30*x**4 - 14*x**2 + 0*x**3 + 2/75*x**5 + 1/50*x**6 + 0. Factor n(t).
4*t*(t + 1)*(3*t - 1)/5
Suppose -5*c + 11 = -4*w, 381*w - 385*w = -4*c + 8. Factor -2/15*y**4 - 16/15*y + 2/15*y**2 + 8/15 + 2/3*y**c - 2/15*y**5.
-2*(y - 1)**3*(y + 2)**2/15
Let d = 103 - 97. Let c = -23/4 + d. Factor 0 + c*u + 1/4*u**2.
u*(u + 1)/4
Let p(m) be the second derivative of -m**5/30 - 2*m**4/9 - 85*m. Factor p(k).
-2*k**2*(k + 4)/3
Let v(z) be the third derivative of -z**6/60 - z**5/5 - 3*z**4/4 + 51*z**2. Find p, given that v(p) = 0.
-3, 0
Let h be ((-525)/42 + 14)*(-4)/(-3). Suppose -3/4*b**h + 1/4*b**5 + 0*b - 5/4*b**4 + 0 + 7/4*b**3 = 0. What is b?
0, 1, 3
Let j = 43/10 - 19/5. Let g be -2*2/(26/(-13)). Suppose j*t - t**g + 1/2*t**3 + 0 = 0. Calculate t.
0, 1
Factor 19/6*j + 7 - 1/6*j**2.
-(j - 21)*(j + 2)/6
Let k(p) be the third derivative of -p**7/945 + 7*p**6/135 - p**5/10 - 950*p**2. What is y in k(y) = 0?
0, 1, 27
Suppose 3*m = -7*g + 3*g + 3, 40 = 5*m - 5*g. Suppose -m*f + 2*c = -2*f + 4, -5*f - 5*c + 35 = 0. What is t in 4/7*t**3 - 2/7*t**4 + 0 + 0*t + 0*t**f = 0?
0, 2
Factor 45*r + 3*r**2 + 14*r + 52*r + 33*r + 66*r - 657.
3*(r - 3)*(r + 73)
Let t(a) be the third derivative of -a**6/210 - 253*a**5/105 - 15875*a**4/42 + 32258*a**3/21 + 11*a**2 - a. Factor t(y).
-4*(y - 1)*(y + 127)**2/7
Let q be 4/24*((-70)/1