6*i**3.
-5*(i + 2)*(i + 42)**2/6
Suppose 0 = 2*q + 2*q - 24. Determine s, given that 12*s - 2*s**3 - 330*s**2 + q*s**3 + 314*s**2 = 0.
0, 1, 3
Suppose 5 = 23*s - 22*s. Suppose s*k = 15, 4*f = 2*f + 4*k - 12. Factor 2/3*o**2 + f*o - 2/3.
2*(o - 1)*(o + 1)/3
Let q(c) be the first derivative of -9*c**7/350 + 7*c**6/200 + c**5/50 + 4*c**2 - 22. Let a(x) be the second derivative of q(x). Suppose a(f) = 0. What is f?
-2/9, 0, 1
Let c(n) be the second derivative of 0*n**3 + 0*n**2 + 0*n**4 + 0 - 1/5*n**5 - 2/21*n**7 + 4/15*n**6 + 23*n. Factor c(q).
-4*q**3*(q - 1)**2
Let o(w) = 2*w**3 - 10*w**2 - 11*w + 16. Let z(a) = a**3 - 9*a**2 - 10*a + 16. Suppose 16 - 18 = b. Let u(p) = b*o(p) + 3*z(p). Find d, given that u(d) = 0.
-4, 1
Let i(u) be the third derivative of u**7/1470 + 19*u**6/840 + u**5/12 + 17*u**4/168 - 402*u**2. What is j in i(j) = 0?
-17, -1, 0
Suppose -9*l**2 - 4*l**4 - 12*l**2 + 16*l**3 + 5*l**2 = 0. Calculate l.
0, 2
Let d(v) be the first derivative of -v**6/1020 + 7*v**5/1020 - v**4/102 - 16*v**3/3 - 11. Let f(l) be the third derivative of d(l). Find p such that f(p) = 0.
1/3, 2
Suppose 2*k - 9 + 1 = 0. Suppose a + 4 = k*z, a = 2*a. What is j in 4*j**2 + 0*j**2 - 2 - j**2 - z = 0?
-1, 1
Factor 1/2*d**2 + 2 + 5/2*d.
(d + 1)*(d + 4)/2
Find q, given that 11*q**2 - 3 - 36*q + 5*q**2 - 29 - 20*q**2 = 0.
-8, -1
Let q(h) = 4*h**2 + 52*h + 144. Suppose -s + 19 = 5*t, -s - 1 = -2*t + 1. Let d(z) = -4*z**2 - 53*z - 144. Let p(m) = s*d(m) + 5*q(m). Solve p(v) = 0 for v.
-6
Let d(z) = 30 - 4 - 3 + 8 + 2*z. Let p be d(-14). Suppose -5/3*f**2 + 1/3*f + 0 - f**4 + 7/3*f**p = 0. What is f?
0, 1/3, 1
Factor -1/4*r**4 + 2*r**2 - 3/2*r + 3/2*r**3 - 7/4.
-(r - 7)*(r - 1)*(r + 1)**2/4
Factor 1 + 9/2*u**2 + 19/2*u.
(u + 2)*(9*u + 1)/2
Let m be (-1)/(1/3 - 2/3). Let z(c) = -c**3 + 3*c**2 - 1. Let v be z(2). Factor w**m - 4*w - w**2 + 0*w**4 + v*w + w**4.
w*(w - 1)*(w + 1)**2
Let c(s) = s**2 - 3*s - 5. Let r be c(5). Factor -19*x**2 - 2*x**5 - 23*x**3 - r*x**4 + 2*x**5 + 3*x**5 + 0*x**5 - 4*x.
x*(x - 4)*(x + 1)**2*(3*x + 1)
Let j = -120 + 125. Let t(r) be the first derivative of 0*r - 10 + 26/15*r**3 + 46/25*r**j + 2/5*r**2 + 27/10*r**4 + 7/15*r**6. Find h, given that t(h) = 0.
-1, -2/7, 0
Let i(f) be the first derivative of f**4/4 + 5*f**3/3 - 13*f**2/2 + 7*f - 35. Factor i(z).
(z - 1)**2*(z + 7)
Let s(x) = -4*x**2 + 20*x + 24. Let u(q) = q**2 + q. Let j(m) = s(m) + 2*u(m). Factor j(y).
-2*(y - 12)*(y + 1)
Factor -1/2*f**4 - 17/2*f**3 + 0 + 21/2*f**2 + 1/2*f**5 + 18*f.
f*(f - 3)**2*(f + 1)*(f + 4)/2
Let u(z) be the first derivative of 0*z + 5/2*z**2 - 1/270*z**5 + 2 - 2/27*z**3 - 1/36*z**4. Let q(t) be the second derivative of u(t). Let q(j) = 0. What is j?
-2, -1
Let v(h) be the third derivative of -h**7/210 - h**6/30 + h**5/30 + h**4/2 - 3*h**3/2 + 392*h**2. Find s such that v(s) = 0.
-3, 1
Let u = 2/43 - -31/258. Suppose 8 = -5*r + 2*j, 0 = -r + j + 2*j - 12. Factor r*o - u*o**4 + 1/6*o**2 + 0 + 0*o**3.
-o**2*(o - 1)*(o + 1)/6
Suppose 3*w = -2*f + 19, -2*w = -f + 10 - 11. Let t = 16/219 - -9556/1095. Suppose -12*i**4 + 16/5 + t*i**2 + 14/5*i**f + 58/5*i**3 - 72/5*i = 0. Calculate i.
-1, 2/7, 1, 2
Suppose 213/8*a**3 - 1833/4*a**2 - 540*a + 972 - 3/8*a**4 = 0. What is a?
-2, 1, 36
Let a(k) be the second derivative of -k**5/130 + 7*k**4/39 + 4*k + 11. Find v, given that a(v) = 0.
0, 14
Factor -27/8*r**2 - 45/8 + 69/8*r + 3/8*r**3.
3*(r - 5)*(r - 3)*(r - 1)/8
Let v(j) be the second derivative of j**4/3 - 32*j**3 + 304*j - 1. Factor v(r).
4*r*(r - 48)
Suppose 19 = 3*y + 2*q - 6, -3*q = -3*y + 30. Suppose y = -6*k + 21. Factor -3/4*n**3 + 3/2*n**k + 3/4*n - 3/2.
-3*(n - 2)*(n - 1)*(n + 1)/4
Let g(j) be the third derivative of -j**7/210 - 7*j**6/15 - 98*j**5/5 - 1372*j**4/3 - 19208*j**3/3 + 406*j**2. Solve g(c) = 0 for c.
-14
Let v(y) be the third derivative of 0*y + 0 + 2*y**2 - 1/8*y**4 + 1/60*y**5 + 1/3*y**3. Determine x so that v(x) = 0.
1, 2
Let h(b) be the first derivative of 5*b**4/12 + 110*b**3/3 + 1210*b**2 + 53240*b/3 + 14. Let h(r) = 0. Calculate r.
-22
Let o(r) be the first derivative of r**4/6 + 4*r**3/3 + 4*r**2 - 44*r + 8. Let u(i) be the first derivative of o(i). Solve u(g) = 0.
-2
What is u in -1/7*u - 1/7*u**2 + 12/7 = 0?
-4, 3
Factor -162*q + 2*q**3 + 7*q**4 + 117*q**2 + 8*q**4 - 5*q**3 - 17*q**3 - 14*q**4.
q*(q - 9)**2*(q - 2)
Let v(b) = 11*b**5 + 6*b**4 - 6*b**3 - 6*b**2 + 5*b. Let f(x) = 5*x**5 + 3*x**4 - 3*x**3 - 3*x**2 + 2*x. Let q(k) = -5*f(k) + 2*v(k). Let q(l) = 0. What is l?
-1, 0, 1
Let j be 6 - ((-40)/30*4 - (-10)/45). Factor -160/9*n**2 + 32/9*n**4 - 8/3*n**3 + 0 - j*n - 4/9*n**5.
-4*n*(n - 5)**2*(n + 1)**2/9
Let f(h) be the third derivative of h**5/330 - h**4/12 - 26*h**3/33 + 18*h**2. Factor f(x).
2*(x - 13)*(x + 2)/11
Suppose 4*a + 183*m - 184*m = 12, -12 = -5*a + 2*m. Determine n, given that 2/13*n + 0 - 4/13*n**2 - 2/13*n**5 + 0*n**3 + 4/13*n**a = 0.
-1, 0, 1
Let f(m) be the first derivative of 2*m**5/5 - 11*m**4/2 + 28*m**3 - 68*m**2 + 80*m - 103. Solve f(t) = 0.
2, 5
Suppose -14*f + 17 = -11. Factor 3/5*a**f + 0 + 9/5*a.
3*a*(a + 3)/5
Let b be (1 + -1)*1 + (-15 - -17). Factor -10*f - 5*f**4 + 7*f - 12*f**3 + f - 9*f**b + 0*f**3.
-f*(f + 1)**2*(5*f + 2)
Let x(r) be the second derivative of 2*r**6/15 + 6*r**5/5 - 12*r**4 + 80*r**3/3 - 65*r - 4. Find n, given that x(n) = 0.
-10, 0, 2
Suppose 3*f - 4*t = 23, -f + 3 = -t + 2*t. Solve 5 + g**2 + 2946*g + f - 2941*g - 6*g**2 = 0 for g.
-1, 2
Factor 1/3*p**2 + 0 + 131/3*p.
p*(p + 131)/3
Let d = 4328/19 - 12794/57. Determine j, given that 50/9 - d*j - 2*j**2 - 2/9*j**3 = 0.
-5, 1
Let p(s) be the third derivative of s**7/140 - 7*s**6/16 + 429*s**5/40 - 2057*s**4/16 + 1331*s**3/2 + 108*s**2. Let p(q) = 0. What is q?
2, 11
Let z(o) = 2*o**5 + 12*o**4 + 8*o**3 - 10*o + 6. Let j(l) = 2*l**5 + 11*l**4 + 7*l**3 - l**2 - 9*l + 5. Let v(m) = -6*j(m) + 5*z(m). Find i such that v(i) = 0.
-2, -1, 0, 1
Find m such that -4*m**4 + 160*m**3 - 2968 + 0*m**4 + 4480*m + 462 - 1560*m**2 - 1414 - m**4 = 0.
2, 14
Let l = 37/48 + 25/16. Let k(g) be the first derivative of -l*g**3 + 2*g + 2 + 5/2*g**2. Let k(o) = 0. Calculate o.
-2/7, 1
Let h(o) = o**2 - 10*o + 4. Let k be 1*(13 - (-3 - (-3 + -3))). Let l be h(k). Factor -26/3*j**2 - 8*j - l*j**3 - 8/3 - 2/3*j**4.
-2*(j + 1)**2*(j + 2)**2/3
Suppose -4 = -2*g - 2*s, 21 = 2*g - 4*s - 1. Let a be (-5 - 1)*7/(-105)*g. Factor -a*p**3 + 0 - 2/3*p**5 + 0*p + 2*p**4 + 2/3*p**2.
-2*p**2*(p - 1)**3/3
Let f be (-2)/6 + 448/192. Factor 0*a**f + 0*a + 0*a**4 + 2/13*a**5 + 0 - 2/13*a**3.
2*a**3*(a - 1)*(a + 1)/13
Let y = -2/2285 + 916/2285. Let -6*l**2 - 30*l - y*l**3 - 50 = 0. Calculate l.
-5
Let 8*j**2 - 22*j**2 + 9*j**2 - 30 + 25*j = 0. Calculate j.
2, 3
Let q(a) be the first derivative of -144*a - 4/3*a**3 + 15 - 24*a**2. Factor q(t).
-4*(t + 6)**2
Let a(d) be the third derivative of -d**8/70560 + d**7/2205 - 2*d**6/315 - 3*d**5/20 + 3*d**2. Let o(w) be the third derivative of a(w). What is f in o(f) = 0?
4
Let q be ((-3591)/798)/((-130)/8*(-18)/(-60)). Factor 0 - 12/13*k + 22/13*k**2 - q*k**3 + 2/13*k**4.
2*k*(k - 3)*(k - 2)*(k - 1)/13
Let b(q) be the second derivative of -q**5/60 - q**4/9 + q**3/18 + 2*q**2/3 + 40*q. Let b(a) = 0. Calculate a.
-4, -1, 1
Let r(x) be the first derivative of x**5/20 - x**4/12 + 15*x - 17. Let c(y) be the first derivative of r(y). Factor c(g).
g**2*(g - 1)
Factor -15/8*m**3 + 15/8*m - 1/8*m**4 + 0 + 1/8*m**2.
-m*(m - 1)*(m + 1)*(m + 15)/8
Let t(u) be the second derivative of u**4/42 - u**2/7 + 2*u - 158. Solve t(n) = 0.
-1, 1
Let z be 0 - (-1)/((-2)/(-4)). Let f = -15 + 16. Factor z + 0 - p**2 - f + 0*p**2.
-(p - 1)*(p + 1)
Let u(i) be the first derivative of 18*i**4 + 8*i**3 - 95*i**2 + 100*i + 140. What is r in u(r) = 0?
-2, 5/6
Find i such that -102*i**3 - 276*i + 52*i**2 - 20*i**3 + 308*i + 6*i**5 + 32*i**4 = 0.
-8, -1/3, 0, 1, 2
Let t be ((4086/(-8))/3)/((-35)/(-28)). Let l = -136 - t. Factor -l*j**3 + 0 + 0*j**2 + 0*j.
-j**3/5
Let d = 14 - -3. Let 35*g**2 + 38*g**3 + 2*g**4 + 22*g**3 - d*g**4 - 17*g - 10*g**5 - 13*g = 0. What is g?
-3, -1, 0, 1/2, 2
Let k(m) be the second derivative of -m**4/42 + 20*m**3/21 + 3*m**2 + 67*m. Find o, given that k(o) = 0.
-1, 21
Let j(y) be the first derivative of 2/11*y**2 - 21/22*y**4 + 2/33*y