- 3*h**f + 5 + 1 + 2*h**2 + h.
-(h - 2)*(h + 1)
Let i be (-4 + (-50)/(-8))*4. What is b in -8*b**4 + 4*b**4 + 6*b - 4*b**2 - 2*b**2 - 7*b - i*b**3 = 0?
-1, -1/4, 0
Suppose 2/7*a**4 - 76/7*a**2 - 60/7*a + 3/7*a**5 - 16/7 - 33/7*a**3 = 0. What is a?
-2, -1, -2/3, 4
Factor 28/5*l**2 + 2*l - 2/5*l**5 + 0 + 24/5*l**3 + 4/5*l**4.
-2*l*(l - 5)*(l + 1)**3/5
Solve 3*a**2 - 2251 + 3180 - 306*a + 4472 - 953 + 3355 = 0 for a.
51
Let v = -128 + 168. Factor -87*p**4 + 44*p**4 + v*p**4 - 15*p**3.
-3*p**3*(p + 5)
Let o be (18/(-30))/(2/(-10)). What is a in -a + a - 4*a - 6*a**2 + 16*a**4 + 30*a**2 - 36*a**o = 0?
0, 1/4, 1
Let q(g) be the first derivative of g**6/6 - 2*g**5/5 - 9*g**4/2 - 32*g**3/3 - 23*g**2/2 - 6*g - 148. Find v such that q(v) = 0.
-1, 6
Factor 29/6*a**2 + 0 + 7/6*a**4 - 1/6*a**5 + 5/3*a + 9/2*a**3.
-a*(a - 10)*(a + 1)**3/6
Let s(c) be the second derivative of -5/6*c**3 + 0 + 14*c - 1/2*c**4 + 1/2*c**2. Find v, given that s(v) = 0.
-1, 1/6
Let c(t) = -3*t**3 + 6*t**2 + 3. Let d(p) = 6*p**3 - 12*p**2 - 7. Let a(v) = -v**3 + 9*v**2 - 13*v - 4. Let s be a(7). Let b(r) = s*d(r) + 7*c(r). Factor b(z).
-3*z**2*(z - 2)
Let m(p) be the third derivative of -p**7/3360 - p**6/360 + 19*p**3/6 - 20*p**2. Let d(w) be the first derivative of m(w). Factor d(k).
-k**2*(k + 4)/4
Let h(u) = u**3 + 6*u**2 - 10*u - 17. Let d be h(-7). Let l = -7 - -10. What is p in 4*p**3 - p - d*p**3 + 3*p**3 + 1 - p**2 - 2*p**l = 0?
-1, 1
Suppose -39 = -23*g + 30. Let i be ((-52)/520)/(g/(-5) + 0). Let -1/2*n - 1/3 - i*n**2 = 0. What is n?
-2, -1
Let s(i) be the third derivative of -i**5/60 - 37*i**4/120 + 4*i**3/5 - 155*i**2. Factor s(v).
-(v + 8)*(5*v - 3)/5
Factor 4 + 3*k - 53*k**2 + 10*k + 19*k + 36*k**2.
-(k - 2)*(17*k + 2)
Let w(l) = -3*l**2 + 16*l - 5. Let t be w(5). Let p(f) be the second derivative of 1/50*f**5 - 1/6*f**4 - 4/5*f**2 + 8/15*f**3 - 3*f + t. Factor p(u).
2*(u - 2)**2*(u - 1)/5
Let 636*n - 61 - 72 - 518*n + n**2 + 14 = 0. What is n?
-119, 1
Let o(b) be the third derivative of -b**8/1512 - 4*b**7/945 - b**6/135 + b**5/135 + 5*b**4/108 + 2*b**3/27 - 227*b**2. Determine w, given that o(w) = 0.
-2, -1, 1
Let p(d) = -2*d**4 + 9*d**3 + 2*d**2 - 9*d - 5. Let z(g) = g**4 - 4*g**3 - g**2 + 4*g + 2. Suppose 4 = 7*f - 8*f. Let n(t) = f*p(t) - 10*z(t). Factor n(u).
-2*u*(u - 2)*(u - 1)*(u + 1)
Let y = 18 - 23. Let s(i) = -i**5 + i**4 + i**3 - i**2. Let p(t) = -30*t**4 + 75*t**3 - 15*t**2 - 75*t + 45. Let o(u) = y*s(u) + p(u). Solve o(c) = 0.
-1, 1, 3
Let h(k) be the second derivative of k**7/42 + 8*k**6/15 - 37*k**5/20 - 4*k**4/3 + 6*k**3 - 144*k. Suppose h(o) = 0. Calculate o.
-18, -1, 0, 1, 2
Let m(k) be the first derivative of k**6/360 - k**5/120 - 10*k**3/3 + 18. Let s(j) be the third derivative of m(j). Factor s(t).
t*(t - 1)
Let u be -5 + 282/18 + 9/(-1). Factor -5/6*s**3 + 0 + 0*s + u*s**5 + 5/6*s**4 + 0*s**2.
5*s**3*(s + 1)*(2*s - 1)/6
Suppose -2*k = 0, 2*g + 9 = 5*k + 45. Suppose 2*i + 8 - g = 0. Determine c so that c**2 + 5*c**2 - 3*c**2 - c - i*c = 0.
0, 2
Let g(s) = s**2 - 10*s + 24. Let i be g(5). Let p be 0/((i + 0)*3). Factor -7/5*x**3 + p - x**2 - 3/5*x**4 - 1/5*x.
-x*(x + 1)**2*(3*x + 1)/5
Let p(b) = b**3 - 2*b**2 + b. Let o(m) = 2*m**3 - 4*m**2 + 2*m. Let l(g) = 6*o(g) - 15*p(g). Find y such that l(y) = 0.
0, 1
Suppose -m = -1, -2*o + 5*m = -302 + 11. Let u = -148 + o. Factor -3*t**4 + 16/3*t**3 + 0*t + u + 4/3*t**2.
-t**2*(t - 2)*(9*t + 2)/3
Let w(z) be the second derivative of -1/30*z**4 + 0 - 1/15*z**3 + 0*z**2 - 5*z. Factor w(d).
-2*d*(d + 1)/5
Let j(t) be the second derivative of t**5/2 + 31*t**4/6 + 17*t**3 + 9*t**2 + 32*t. Factor j(y).
2*(y + 3)**2*(5*y + 1)
Let a be ((-60)/25)/(-3)*10/6. Suppose n + 2*p - 3*p - 5 = 0, 25 = -3*n - 5*p. Find r such that 0*r**2 - a*r**3 + 0*r + n = 0.
0
Let m(b) = -9*b**3 + 3*b**2 - 15*b. Let g(q) = q**2. Let z(l) = -l**3 + l**2 - 2*l. Let w(j) = -g(j) + 2*z(j). Let c(i) = 5*m(i) - 21*w(i). Factor c(u).
-3*u*(u - 1)*(u + 3)
Suppose -27 - 415 = -53*k + 35. Factor 3*b**2 + 1/3*b**3 + 9 + k*b.
(b + 3)**3/3
Let q(t) be the second derivative of t**5/30 - 5*t**4/18 + 8*t**3/9 - 4*t**2/3 - 232*t. Determine y, given that q(y) = 0.
1, 2
Factor 13/3*r**2 + 12 + 16*r + 1/3*r**3.
(r + 1)*(r + 6)**2/3
Solve 4103 + i - 5*i - 4108 + i**2 = 0 for i.
-1, 5
Suppose 5*r = 2*c + 93, -r - 3*c + 0*c = -5. Suppose 23*y + 0*y + r*y + 30*y**3 + 5*y**4 + 60*y**2 = 0. Calculate y.
-2, 0
Let r(d) be the first derivative of -d**6/3 + 34*d**5/5 - 15*d**4/2 - 34*d**3/3 + 16*d**2 + 225. Suppose r(t) = 0. What is t?
-1, 0, 1, 16
Let h(r) be the third derivative of -r**5/140 - 33*r**4/56 - 16*r**3/7 + 21*r**2 + 2. Factor h(b).
-3*(b + 1)*(b + 32)/7
Suppose -2*k + 5 - 5 = 0. Let d(r) be the third derivative of -1/60*r**5 + 0 - 1/2*r**3 + 4*r**2 + 1/6*r**4 + k*r. Find j, given that d(j) = 0.
1, 3
Let i = -2/47 + 311/6204. Let a(f) be the third derivative of -1/165*f**5 + 0 - 8*f**2 + 0*f + 1/33*f**3 - i*f**4. Factor a(y).
-2*(y + 1)*(2*y - 1)/11
Suppose 3*v - k - 2 = 0, 5*v + 2*k = -0 + 18. Let a be 0/(-1 - (3 + -6)). Factor 4/13*m + a - 2/13*m**v.
-2*m*(m - 2)/13
Let s(n) be the first derivative of n**3/4 + 6*n**2 + 140. Factor s(b).
3*b*(b + 16)/4
Let x(w) be the second derivative of -1/4*w**3 - 1/4*w**4 + 8*w + 0 - 3/40*w**5 + 0*w**2. Suppose x(o) = 0. What is o?
-1, 0
Factor -75/2*j**2 + 27/2*j**3 - 99/2*j + 3/2*j**4 + 0.
3*j*(j - 3)*(j + 1)*(j + 11)/2
Let t = -309 + 308. Let m(a) = 1 - a + a + a**2. Let c(j) = 2*j**3 + 5*j**2 - 2*j - 3. Let o(n) = t*c(n) + m(n). Factor o(q).
-2*(q - 1)*(q + 1)*(q + 2)
Let a(y) be the first derivative of -y**3/4 + 3*y**2/8 - 181. Factor a(p).
-3*p*(p - 1)/4
Let w = -5 + 40. Let q = 50 - w. Find t such that -q*t**4 + 4*t**2 - 40*t**3 - 39*t**2 - 14*t + 4*t = 0.
-1, -2/3, 0
What is w in -40 + 28*w**3 + 116*w + 4*w**4 - 8*w**2 - 6*w**2 - 94*w**2 = 0?
-10, 1
Let p(t) = 36 + 2*t - 3*t**3 - 5*t**3 - 36*t**2 + 6*t**3. Let r be p(-18). Factor -1/3*f**3 + 0*f**2 + 0 - 1/3*f**4 + r*f.
-f**3*(f + 1)/3
Let l(d) be the third derivative of 0*d + 0 + 1/105*d**6 - 1/14*d**5 + 1/7*d**4 + 4/21*d**3 + 17*d**2. Factor l(r).
2*(r - 2)**2*(4*r + 1)/7
Factor -1223*o**2 + 596*o**2 + 4*o**3 + 495*o**2.
4*o**2*(o - 33)
Let m(w) = 4*w**5 + 5*w**4 - 2*w**2 - w. Let y(j) = -3*j - 43*j**2 + 9*j**5 + 39*j**2 + 11*j**4 + j. Let i(x) = 7*m(x) - 3*y(x). What is b in i(b) = 0?
-1, 0, 1
Let z(f) be the second derivative of f**5/5 - 29*f**4/3 + 56*f**3/3 - 593*f. Determine o, given that z(o) = 0.
0, 1, 28
Let d(m) = -5*m**2 + 71*m + 72. Let n(s) = 81*s**2 - 1137*s - 1152. Let c(h) = 33*d(h) + 2*n(h). Factor c(r).
-3*(r - 24)*(r + 1)
Let o(h) be the second derivative of -1/10*h**3 + 0 - 3*h - 1/60*h**4 + 1/5*h**2 - 1/150*h**6 + 3/100*h**5. Factor o(g).
-(g - 2)*(g - 1)**2*(g + 1)/5
Let z(w) be the second derivative of w**9/1008 + w**8/560 - 5*w**3/3 + w. Let u(s) be the second derivative of z(s). Factor u(f).
3*f**4*(f + 1)
Factor 56*x - 949*x**5 + 4 + 272*x**5 + 388*x**5 + 799*x**4 - 667*x**3 + 97*x**2.
-(x - 1)**3*(17*x + 2)**2
Let l = 11/12 + -1/12. Suppose -v**2 - 1/6 + 1/2*v**5 + 7/6*v**4 - l*v + 1/3*v**3 = 0. Calculate v.
-1, -1/3, 1
Let c(r) be the second derivative of -r**4/15 - 2*r**3/5 - 4*r**2/5 + 377*r. Factor c(s).
-4*(s + 1)*(s + 2)/5
Let n(t) be the second derivative of -3*t**5/80 - 5*t**4/12 - 2*t**3/3 + 8*t**2 - 63*t - 2. Solve n(u) = 0 for u.
-4, 4/3
Suppose 0 = -88*b + 144 + 32. Let 6/5 - n + 1/5*n**b = 0. What is n?
2, 3
Let h(k) = k**3 + 14*k**2 - 2*k - 28. Let g be h(-14). Suppose 0 = 2*l - 0*l - g*l. Factor l*u - 6/5*u**2 + 0 - 3/5*u**3.
-3*u**2*(u + 2)/5
Suppose 253/5*s + 102/5 - 362/5*s**2 + 7/5*s**3 = 0. Calculate s.
-2/7, 1, 51
Factor -62/17*q - 2*q**2 - 2/17*q**3 - 30/17.
-2*(q + 1)**2*(q + 15)/17
Let a be (2 + -2)*(-5)/(-10)*-2. Factor a*o**5 + 2*o**5 - 6*o**4 + o**2 + 4*o**2 - 6*o + 4*o**3 - o**2 + 2.
2*(o - 1)**4*(o + 1)
Let a(i) = -i**2 + 1. Let k(j) = 8*j**2 - 45*j + 73. Let s(l) = -5*a(l) - k(l). Suppose s(d) = 0. What is d?
2, 13
Let h(c) = 93*c - 65. Let x be h(1). Solve x*l**3 - 64/7 - 96*l**2 - 432/7*l = 0.
-2/7, 4
Let q(v) = -v**4 + v**2 + v - 1. Let k(d) = -7*d**4 - 4*d**3 + 11*d**2 + 12*d - 12. Let h(i) = 3*k(i) - 24*q(i). Determine g so that h(g) = 0.
-1, 1, 2
Let h(u) be the third derivative of 6*u**