- 52*s - 6*s**2.
(s - 34)**2
Let h be ((-21)/33 + 1)/((-348)/(-638)). Factor 10/3*d**2 + h*d**3 + 0*d + 0.
2*d**2*(d + 5)/3
Let i(k) be the third derivative of k**2 + 1/40*k**5 + 0*k + 0 + 3/16*k**4 + 1/2*k**3. What is o in i(o) = 0?
-2, -1
Suppose 2*h - 6 = 3*l, -4*h + l = 16 - 8. Let k be h + 34/40*4. Factor -2*m**2 - 8/5 - 16/5*m - k*m**3.
-2*(m + 1)*(m + 2)**2/5
Let v = 28 - 23. Suppose 0 = v*a - 10 - 5. Factor -3/2*d**2 + 3/2*d**a - 3/2*d + 0 + 3/2*d**4.
3*d*(d - 1)*(d + 1)**2/2
Solve 5/3*f**2 - 4/3*f + 0 - 1/3*f**3 = 0.
0, 1, 4
Let x(a) be the third derivative of 12*a**2 + 147/40*a**5 + 0 - 343/240*a**6 - 63/16*a**4 + 0*a + 9/4*a**3. Find h, given that x(h) = 0.
3/7
Let i(n) = n**4 + 168*n**3 - 191*n**2 - 161*n + 183. Let v(u) = u**4 + 84*u**3 - 95*u**2 - 81*u + 91. Let x(j) = -3*i(j) + 7*v(j). Solve x(r) = 0.
-22, -1, 1
Let -40*k + 0*k**3 - 8*k**3 + 6*k**3 - 218*k - 25*k**2 - 67*k**2 = 0. What is k?
-43, -3, 0
Suppose 14*n**2 - 37*n**2 + 12*n + 20*n**2 = 0. What is n?
0, 4
Let m = 1320 + -6597/5. Suppose 6/5*v + 9/5*v**2 - m = 0. What is v?
-1, 1/3
Suppose -12/5*t**3 - 24/5*t + 2/5*t**4 + 8/5 + 26/5*t**2 = 0. What is t?
1, 2
Suppose -3*v + 4*g + g - 125 = 0, -2*g = 5*v + 167. Let u be (-10)/35 + (-220)/v. Solve -u*y - 1/2*y**3 + 3*y**2 + 4 = 0.
2
Let n = 5899/5 - 1175. Suppose 0*d**3 + 18/5*d**2 - 3/5*d**4 + 9/5 + n*d = 0. What is d?
-1, 3
Suppose -100 = 8*c - 1100. Let j(v) be the first derivative of 1/4*v**4 - 5*v**3 + 75/2*v**2 - 10 - c*v. Let j(m) = 0. What is m?
5
Let g(r) be the first derivative of -4*r**5/5 - 34*r**4 + 592*r**3/3 - 304*r**2 - 312. Suppose g(w) = 0. Calculate w.
-38, 0, 2
Let y = -7722 + 23170/3. Let 2 + y*l - 2/3*l**2 = 0. Calculate l.
-1, 3
Let j be 3/12 - (114/(-30) - -4). Let i(w) be the first derivative of -j*w**4 - 4 + 1/25*w**5 + 0*w**2 + 0*w - 2/15*w**3. Find d, given that i(d) = 0.
-1, 0, 2
Let r(s) be the third derivative of 0 - 1/70*s**7 - 1/10*s**5 + 1/20*s**6 + 1/8*s**4 - 6*s**2 - 1/10*s**3 + 1/560*s**8 + 0*s. Factor r(b).
3*(b - 1)**5/5
Let s(r) = 2*r**2 + 19*r + 12. Let w be s(-9). What is h in 15*h**4 - 1 - 17*h**2 + 154*h**3 + 5*h**5 - 4 - 144*h**w + 7*h**2 - 15*h = 0?
-1, 1
Let q = 1151 + -1139. Let c(a) be the second derivative of 0*a**3 + 0 + q*a + 1/9*a**2 - 1/54*a**4. Factor c(r).
-2*(r - 1)*(r + 1)/9
Let r = -133/6 + 949/42. Suppose 0 - 3/7*s - r*s**2 = 0. What is s?
-1, 0
Let v = -5227 + 5232. Suppose -5/3*i**v - 10/3*i**4 + 40/3*i**3 - 35/3*i - 10/3*i**2 + 20/3 = 0. What is i?
-4, -1, 1
Determine r, given that 5*r + 85*r**3 + 5*r**2 + 10*r - 192*r**3 + 92*r**3 - 5*r**4 = 0.
-3, -1, 0, 1
Let m(s) = 9*s**2 + 10*s + 4. Let k(p) = p**2. Suppose 4*h + 3 - 19 = 0. Let l be (2/h)/((-3)/12). Let t(y) = l*m(y) + 6*k(y). Let t(r) = 0. What is r?
-1, -2/3
Factor 50/13*g**3 - 48/13*g + 30/13*g**2 - 32/13.
2*(g - 1)*(5*g + 4)**2/13
Let f be (-147)/42*(-44)/14 + -3. Suppose l + f*l = 18. Find t such that -5*t**l - 4/3 + 14/3*t + 3/2*t**3 = 0.
2/3, 2
Factor -42*z**3 + 37*z**2 + 2*z + 31*z**2 + 28*z**2 + 5*z**4 - 34*z.
z*(z - 4)**2*(5*z - 2)
Factor -1682/7*x + 0 - 116/7*x**2 - 2/7*x**3.
-2*x*(x + 29)**2/7
Let a(j) be the first derivative of 3 - j + 1/20*j**5 + 0*j**2 - 1/3*j**3 - 1/12*j**4. Let t(s) be the first derivative of a(s). Solve t(u) = 0.
-1, 0, 2
Let m(u) be the first derivative of 15 + 1/6*u**4 - 8/3*u**2 - 2/9*u**3 + 8*u. Factor m(c).
2*(c - 2)**2*(c + 3)/3
Let p(v) = 9*v**3 - 21*v**2 - v + 13. Let a(g) = -g**3 - g**2 - g + 3. Let t(y) = -4*a(y) - p(y). Solve t(o) = 0 for o.
-1, 1, 5
Let y be ((-11)/((-165)/(-10)))/(1/(-6)). Let s be 3*(0 + y/24). Factor 2*o**2 - 2*o + s.
(2*o - 1)**2/2
Let l(v) be the second derivative of 5/2*v**3 + 1/4*v**4 - 8*v + 0 + 9/2*v**2 - 3/20*v**5. Factor l(b).
-3*(b - 3)*(b + 1)**2
Let u(s) be the first derivative of -1/24*s**4 + 0*s + 0*s**3 - 1/60*s**5 - 5 - 1/2*s**2. Let b(n) be the second derivative of u(n). Let b(r) = 0. Calculate r.
-1, 0
Let b(m) be the third derivative of -m**6/900 + m**5/450 + m**4/180 - m**3/45 + 59*m**2. Factor b(n).
-2*(n - 1)**2*(n + 1)/15
Let g be (-2)/(-1)*(2 + 0). Let t be g - 7/(21/6). Determine h so that -2*h**2 + t*h + 3*h**4 - 3*h + 0*h**5 - h**4 + h**5 = 0.
-1, 0, 1
Let j(l) = 4*l**2 - 2*l. Let m(r) = r**3 - 9*r**2 + 5*r. Let i = 35 - 37. Let v(x) = i*m(x) - 5*j(x). Factor v(k).
-2*k**2*(k + 1)
Suppose 3/4*a**3 - 6*a**2 + 33/4*a + 15 = 0. What is a?
-1, 4, 5
Let k = 38678/3 - 12892. What is d in 1/3*d**2 - d + k = 0?
1, 2
Let -4*z**2 + 6*z**2 + 39*z + 29*z - 272 + 850 = 0. Calculate z.
-17
Let z(q) be the first derivative of -q**6/90 - q**5/2 + 2*q**3/3 - 2*q - 35. Let g(t) be the third derivative of z(t). Suppose g(l) = 0. Calculate l.
-15, 0
Let p = 4284 + -4282. Find g such that -8/7 + 2/7*g**p - 6/7*g = 0.
-1, 4
Find a, given that -15*a**2 - 9 + 7*a**4 + 5*a**3 + 2*a**4 + 34*a**3 - 45 - 171*a = 0.
-3, -1/3, 2
Let i(y) = -y**3 - y**2 + 1. Suppose 0 = -4*s + 6*s + 2. Let p(r) = 15*r**3 + 15*r**2 + 3*r - 15. Let m(n) = s*p(n) - 18*i(n). Find z such that m(z) = 0.
-1, 1
Let d(z) be the first derivative of z**3/3 - 65*z**2/2 + 64*z + 364. Determine v, given that d(v) = 0.
1, 64
Let c(n) = -93*n + 290. Let f be c(3). Let z(w) be the third derivative of 0 - 1/56*w**4 + 0*w**5 + 0*w**3 + 1/280*w**6 + f*w**2 + 0*w. Let z(d) = 0. What is d?
-1, 0, 1
Let a(j) be the first derivative of -2*j**3/3 + 10*j**2 - 18*j - 119. Factor a(m).
-2*(m - 9)*(m - 1)
Let k(t) be the first derivative of t**5/4 + 5*t**4/4 - 5*t**3/4 - 45*t**2/4 + 393. Factor k(f).
5*f*(f - 2)*(f + 3)**2/4
Factor -9982 + 114*h - 3162 - 528*h - 3*h**2 - 1139.
-3*(h + 69)**2
Suppose -2*k - 3*k = -5*o - 250, 4*k = 3*o + 198. Find j such that -k*j**3 - 2*j**2 + 15*j**4 - 2*j**2 - 33*j**5 + 16*j**2 + 108*j**5 = 0.
-1, 0, 2/5
Let c = 1221/4756 - 8/1189. Suppose -1/2*y**2 + 1/4*y - c*y**5 + 0 + 0*y**3 + 1/2*y**4 = 0. Calculate y.
-1, 0, 1
Suppose -8*y + 64 = -4*y. Let g + 15*g - 6*g**2 - 7*g**2 + 17*g**2 + y = 0. What is g?
-2
Let j(h) = -15*h**2 - 408*h + 68. Let v(o) = 14*o**2 + 410*o - 70. Let r(k) = 3*j(k) + 4*v(k). Solve r(q) = 0 for q.
-38, 2/11
Let n(p) be the first derivative of -45 + 676/7*p + 4/21*p**3 + 52/7*p**2. Factor n(w).
4*(w + 13)**2/7
Factor -42/11*d**2 - 204/11*d + 24/11*d**3 - 48/11.
6*(d - 4)*(d + 2)*(4*d + 1)/11
Let x = 2815 - 2811. Let s(t) be the third derivative of 1/60*t**x + 0*t + 0 - 1/300*t**6 + 0*t**3 - 8*t**2 + 0*t**5. Find m, given that s(m) = 0.
-1, 0, 1
Let b(n) be the second derivative of -12*n + 0*n**4 + 0 + 0*n**2 - 3/100*n**5 + 1/10*n**3. Factor b(l).
-3*l*(l - 1)*(l + 1)/5
Suppose 4*l = -4*w + 28, -2*l + 3 - 17 = -5*w. Let t(q) be the first derivative of -3 + q**2 + 0*q + 4/3*q**3 + 1/2*q**w. Solve t(x) = 0 for x.
-1, 0
Suppose 3*a - 4*j - 22 = 4, 5*j = -a - 23. Factor 8*h - 7*h - 3*h**a - 5*h - 9 - 8*h.
-3*(h + 1)*(h + 3)
Suppose 5*y + 4 = 29. Suppose -y*x = 5 - 10. Let m(v) = -v**3. Let o(n) = 5*n**4 - 10*n**3 + 15*n**2. Let u(s) = x*o(s) - 30*m(s). Let u(h) = 0. Calculate h.
-3, -1, 0
Let n = -83 - -44. Let y(q) = -19*q**4 + 25*q**3 + 18*q**2 - 61*q + 37. Let v(h) = 3*h**4 - 4*h**3 - 3*h**2 + 10*h - 6. Let c(b) = n*v(b) - 6*y(b). Factor c(m).
-3*(m - 2)*(m - 1)**2*(m + 2)
Suppose 0 = 9*d - 10 - 17. What is t in 0*t + 3*t + 5*t + 4 - 4*t**4 - 8*t**d = 0?
-1, 1
Let n(z) = -z. Suppose 3 = -3*c + 2*c. Let b be n(c). Factor 5*i + 38 - 38 + 0*i**b - 5*i**3.
-5*i*(i - 1)*(i + 1)
Suppose -3*g + 53 = 2*g - 2*a, -4*g = a - 32. Let k be (6/(-8))/(g/(-48)). Solve -6*j**3 + 3*j**3 + 3*j + 3*j**k - 2*j**2 - j**2 = 0.
-1, 0, 1
Let y be 136/(-5)*(2 - 38/4). Let i = y + -2650/13. Solve -2/13*f**3 + 0 - 4/13*f**2 - i*f = 0 for f.
-1, 0
Let p(o) be the second derivative of 13*o**4/20 + 37*o**3/30 - o**2/5 + 105*o. Let p(w) = 0. What is w?
-1, 2/39
Let q = 1434 + -1434. Factor 0 + q*d - 1/2*d**4 + 3*d**3 - 9/2*d**2.
-d**2*(d - 3)**2/2
Let y = -702 - -704. Let q = 2246/11 + -204. Let 0 + 2/11*s**4 - 4/11*s + 4/11*s**3 - q*s**y = 0. What is s?
-2, -1, 0, 1
Factor 0 - 22*i - 2*i - 4*i**2 + 20 + 2 + 6.
-4*(i - 1)*(i + 7)
Suppose 0 - 2/9*n**2 - 2/9*n = 0. What is n?
-1, 0
Suppose -131*f + 151*f = 0. Let h(y) be the second derivative of f + 1/24*y**4 + 1/12*y**3 + 0*y**2 - 11*y. Find p such that h(p) = 0.
-1, 0
Solve 2/15*l**3 + 0*l + 0 + 14/5*l**2 = 0.
-2