- 448 + h**4 - 204*h**2 + 4282*h**3 + h**4 = 0. Calculate h.
-14, 1, 4
Factor 0 - 1/2*x + 11/4*x**3 - x**4 - 5/4*x**2.
-x*(x - 2)*(x - 1)*(4*x + 1)/4
Let y(j) be the first derivative of 50*j**4/7 - 40*j**3/7 + 9*j**2/7 - 345. Factor y(a).
2*a*(10*a - 3)**2/7
Suppose 3*m = -g, g + 17 = -2*m + 6*g. Let u be (5 + -1)/(3 + m). Let -3*t - 15/2*t**u - 6*t**3 + 0 - 3/2*t**4 = 0. Calculate t.
-2, -1, 0
Let d be 2/(1/(12/8)). Factor -1 + 8*w**2 - 3*w**2 + d*w + 45*w**3 - 51*w**3 - w.
-(w - 1)*(2*w + 1)*(3*w - 1)
Let v(q) be the second derivative of -q**5/30 - q**4/6 - q**3/3 + 6*q**2 - 5*q. Let w(s) be the first derivative of v(s). Let w(f) = 0. What is f?
-1
Let t(s) = -s. Let g be t(3). Let p(q) be the second derivative of q**4/12 + 17*q. Let z(h) = -5*h**2 - 6*h - 9. Let r(l) = g*z(l) - 12*p(l). Solve r(x) = 0.
-3
Let a = 1432/8565 + -3/5710. Let 0 + 1/3*r**3 + 0*r**2 - 1/6*r + 0*r**4 - a*r**5 = 0. Calculate r.
-1, 0, 1
Let l(d) = -6*d**3 - d - 1. Let f(r) = 2*r**3 - 84*r**2 - 68*r + 20. Let t(h) = -f(h) - 4*l(h). Factor t(s).
2*(s + 2)**2*(11*s - 2)
Let i(d) be the first derivative of -8/9*d**3 + 1/5*d**6 + 4/5*d**5 + 4/15*d**2 + 13/30*d**4 - 16 + 0*d. Factor i(k).
2*k*(k + 2)**2*(3*k - 1)**2/15
Let h(r) = r**3 + 81*r**2 - 92*r - 161. Let s(m) = m**3 + 41*m**2 - 47*m - 81. Let t(y) = 6*h(y) - 11*s(y). Find d such that t(d) = 0.
-1, 3, 5
Let b(k) be the first derivative of 0*k + k**2 - 5 - 1/3*k**3 - 1/3*k**4 - 1/6*k**5 - 1/30*k**6. Let p(q) be the second derivative of b(q). Factor p(t).
-2*(t + 1)**2*(2*t + 1)
Factor 12/5*l - 32/5 + 2/5*l**2.
2*(l - 2)*(l + 8)/5
Let d be (-8)/12 - 33/(-9). Let -8 - 9*k - 16*k**2 - 16*k + 3*k - 4*k**d + 2*k = 0. Calculate k.
-2, -1
What is s in 33/8*s**4 + 60*s**2 - 12*s + 0 + 129/4*s**3 = 0?
-4, 0, 2/11
Factor -6/7*m**2 + 14*m + 68/7.
-2*(m - 17)*(3*m + 2)/7
Let d(u) be the second derivative of 0 + 1/9*u**6 + 7/18*u**4 + 3/10*u**5 + 0*u**2 + 18*u + 2/9*u**3 + 1/63*u**7. Factor d(m).
2*m*(m + 1)**3*(m + 2)/3
Let f(h) be the second derivative of -11*h**5/10 - 23*h**4/2 - 73*h**3/3 - 15*h**2 + 690*h. Determine b, given that f(b) = 0.
-5, -1, -3/11
Let k = 22 + -13. Let m(t) = t - 6. Let o be m(k). Find g such that 2*g**2 - o*g**3 + 2*g**2 - 5*g**3 + 4*g = 0.
-1/2, 0, 1
Let m(j) be the second derivative of 2*j**7/21 - 2*j**6/5 - 4*j**5/5 - j - 21. Factor m(n).
4*n**3*(n - 4)*(n + 1)
Let k(n) be the second derivative of 0 + 0*n**3 - 13*n - 10/3*n**2 + 5/36*n**4. Factor k(u).
5*(u - 2)*(u + 2)/3
What is r in -103 + 15*r**2 + 5*r + 31 + 5*r**3 - 25*r + 12 = 0?
-3, -2, 2
Let f(l) be the second derivative of -l**6/30 - l**5/20 + l**4/4 + 5*l**3/6 + l**2 + 2*l - 35. Determine i so that f(i) = 0.
-1, 2
Let q(j) be the third derivative of j**6/50 + 49*j**5/100 - 19*j**4/8 + 21*j**3/5 + 4*j**2 + 26. Determine t so that q(t) = 0.
-14, 3/4, 1
Let p(b) = 6*b**4 - 3*b**3 - 15*b**2 + 21*b + 9. Let v = 3 + 1. Let f(w) = -3*w**4 + 2*w**3 + 7*w**2 - 10*w - 4. Let k(z) = v*p(z) + 9*f(z). Factor k(s).
-3*s*(s - 2)*(s - 1)*(s + 1)
Let n = 44/109 - -170/1199. Let -2/11*f**2 + n - 4/11*f = 0. Calculate f.
-3, 1
Let m be (-7)/((-112)/(-12)) + (-107)/(-68). Determine x so that 18/17*x**2 + 14/17*x**3 - 12/17 - 6/17*x**4 - m*x = 0.
-1, -2/3, 1, 3
Let h = 11/35 + 2/105. Let t(w) be the first derivative of -2*w**2 - h*w**3 + 0*w + 1. Suppose t(x) = 0. Calculate x.
-4, 0
Let c = 20 - 17. Solve 2*m**c + 2*m**5 - 6*m**3 - m**4 + 3*m**4 = 0 for m.
-2, 0, 1
Let l = -36 - -398/11. Let m = -1909 + 21001/11. Factor m*g - l*g**2 + 4/11.
-2*(g - 2)*(g + 1)/11
Solve -27*n**2 + 21/2*n**5 - 18*n**4 + 327/2*n + 45 - 174*n**3 = 0 for n.
-3, -1, -2/7, 1, 5
Let f(j) = 378*j + 1515. Let r be f(-4). Factor -11/4*w**2 - 1/4 + r*w.
-(w - 1)*(11*w - 1)/4
Let a(j) = -j**3 + 3*j + 1. Let l be a(-2). Suppose -41 + 6*f**3 - 7*f**2 + l*f**2 - 2*f**5 + 41 = 0. What is f?
-2, 0, 1
Let r(l) = -5*l**4 - 168*l**3 - 809*l**2 - 1553*l - 907. Let g(c) = 2*c**4 + 56*c**3 + 270*c**2 + 518*c + 302. Let o(m) = 7*g(m) + 2*r(m). Factor o(i).
4*(i + 1)*(i + 3)*(i + 5)**2
Let w(a) be the second derivative of 1/15*a**6 + 26*a + 3/2*a**4 + 1/2*a**5 + 2*a**2 + 0 + 7/3*a**3. Suppose w(f) = 0. Calculate f.
-2, -1
Let o be ((-3)/(-30))/((-140)/(-525)). Determine y, given that o*y**2 - 9/8*y + 0 = 0.
0, 3
Let r(c) be the third derivative of c**5/12 + 5*c**4/8 + 5*c**3/3 + 12*c**2. Determine n, given that r(n) = 0.
-2, -1
Suppose 45948*u - 45963*u = -45. Find t, given that 7/2 - 13/2*t + 5/2*t**2 + 1/2*t**u = 0.
-7, 1
Suppose -63*n - 5*c = -60*n + 3, 8 = 5*n + 4*c. Let r = 2/3 + -1/6. What is m in 0 + 1/6*m**n - 5/6*m**3 - r*m + 7/6*m**2 = 0?
0, 1, 3
Let b(w) be the second derivative of -4*w + 6/5*w**5 + 0*w**2 + 1/21*w**7 + 0 + 2/5*w**6 + w**3 + 5/3*w**4. Let b(d) = 0. What is d?
-3, -1, 0
Let o(s) = s**3 - 4*s**2 - 5*s - 2. Let y be o(6). Suppose -k + 31 = 4*q, -4*k + 7*q = 2*q - y. Solve -k*d**2 + 16*d**2 + d + d = 0 for d.
-2, 0
Let v(j) = -75*j**2 - 6 + 157*j**2 - 83*j**2 - 19*j. Let b(h) = -h**2 - 39*h - 11. Let u(n) = -4*b(n) + 9*v(n). Suppose u(o) = 0. What is o?
-2, -1
Let g = 927 - 924. Factor 0 - 8/19*t**2 - 8/19*t - 2/19*t**g.
-2*t*(t + 2)**2/19
Let y(n) be the first derivative of -4*n**3/21 + 212*n**2/7 + 901. Factor y(w).
-4*w*(w - 106)/7
Let c(w) be the first derivative of -5*w**3/9 + 5*w**2/2 + 20*w/3 - 77. Factor c(m).
-5*(m - 4)*(m + 1)/3
Let s(x) be the second derivative of -x**7/189 - x**6/27 - x**5/15 + 2*x**4/27 + 8*x**3/27 - 3*x + 34. Factor s(z).
-2*z*(z - 1)*(z + 2)**3/9
Let o(y) be the second derivative of y**5/40 + 7*y**4/6 - 156*y. Factor o(b).
b**2*(b + 28)/2
Let l(i) = 3*i**3 - i**2 + 2*i + 2. Let g = 2 + 2. Let s be (-3)/(3 - 8/g). Let h(k) = 4*k**3 - 2*k**2 + 3*k + 3. Let x(v) = s*l(v) + 2*h(v). Factor x(d).
-d**2*(d + 1)
Let a(k) be the second derivative of k**7/28980 + 7*k**6/8280 + k**5/230 + 19*k**4/12 - 9*k. Let l(i) be the third derivative of a(i). What is x in l(x) = 0?
-6, -1
Let j = 1/10 - -11/90. Solve 0*q + j - 2/9*q**2 = 0.
-1, 1
Let s(v) be the first derivative of 4 + 1/9*v**3 - 2/3*v**2 + 4/3*v. Factor s(c).
(c - 2)**2/3
Factor 14 - 6*l - 1/2*l**2.
-(l - 2)*(l + 14)/2
Let z = -42514/3 + 14447. Let y = z - 273. Factor 84*j**3 - 98/3*j**4 + 24*j - y - 218/3*j**2.
-2*(j - 1)**2*(7*j - 2)**2/3
Factor -1/2*i**2 - 43/2*i - 41.
-(i + 2)*(i + 41)/2
Let n(h) be the third derivative of h**6/900 + h**5/30 + 27*h**2 - 2. Factor n(x).
2*x**2*(x + 15)/15
Let -26*y**3 - 25*y**3 + 7*y**3 - 48*y**4 + 8*y**2 + 86*y**4 - 9*y**5 = 0. What is y?
0, 2/9, 2
Let h be 12/14*1211/2595. Determine m, given that -2/5*m + 4/5 - h*m**2 = 0.
-2, 1
Suppose 166*s + 12 = 167*s. Suppose -7*i = -s*i. Factor 1/5*g**2 + i*g - 1/5.
(g - 1)*(g + 1)/5
Let k(d) = -23*d + 5. Let m be k(-5). Suppose 0*s = -4*s, -5*s - m = -y. Let -144*c**4 + 5*c + 39*c**2 + 7*c + 5 - y*c**3 - 8 = 0. What is c?
-1, -1/3, 1/4
Let d(j) be the second derivative of j**4/3 + 10*j**3/3 - 28*j**2 + 8*j + 5. Factor d(v).
4*(v - 2)*(v + 7)
Let c = -1015 - -11179/11. Factor -c*h**3 + 10/11*h**2 + 0 + 4/11*h.
-2*h*(h - 1)*(7*h + 2)/11
Suppose 329*z + z**2 - 887*z + 456*z - 4*z**2 = 0. Calculate z.
-34, 0
Suppose 3*j = j + 4. Find q, given that -574*q**5 + 2*q**3 + 0*q**4 + 572*q**5 + j*q**4 - 2*q**2 = 0.
-1, 0, 1
Let p(f) be the first derivative of f**6/360 + f**5/30 + 5*f**4/72 + 6*f**2 - 10. Let c(g) be the second derivative of p(g). Factor c(r).
r*(r + 1)*(r + 5)/3
Let p(v) = -2*v**3. Let j(z) = 24*z**3 + 12*z**2. Let t(n) = j(n) + 10*p(n). Factor t(f).
4*f**2*(f + 3)
Let k(f) be the second derivative of f**5/240 - f**4/6 + 8*f**3/3 + 5*f**2 + 3*f. Let u(v) be the first derivative of k(v). Factor u(q).
(q - 8)**2/4
Factor -1 + 2*q - 10*q - 64 + 5 + 4*q**2.
4*(q - 5)*(q + 3)
Let x = -14 + 16. Let v(o) be the first derivative of o**2 + x*o**4 + 7 - 2 + o**2 - 6*o**3 + 0*o**4. Determine a so that v(a) = 0.
0, 1/4, 2
Let q(k) be the third derivative of -k**7/140 - 53*k**6/80 - 126*k**5/5 - 496*k**4 - 5120*k**3 + 476*k**2. Factor q(l).
-3*(l + 5)*(l + 16)**3/2
Let b be 30/9*(-9)/(-6). Find a such that 4 + 6*a**b + 12*a**4 - 20*a**2 + 3*a**4 - 6*a**4 - 6*a + 7*a**4 = 0.
-2, -1, 1/3, 1
Let l be 38/2 - 2/(-2). Suppose 0*n = 5*n - l. Let 0*j**4 - 2 + 3*j**n - 6*j**2 + 2 + 3 = 0. What is j?
-1, 1
Let s(j) be the third deriva