). Solve t(h) = 0.
-14, 0, 2
Suppose -139*d + 98*d = 46 - 128. Factor 1/5*y**d + 6/5 - 7/5*y.
(y - 6)*(y - 1)/5
Let z be 1/2*(2 + 49/2). Let k = z - 47/4. Let -a + k - 1/2*a**2 = 0. What is a?
-3, 1
Let n(x) be the first derivative of -1/30*x**6 + 0*x**3 + 0*x - 27 + 1/10*x**4 - 1/10*x**2 + 0*x**5. Factor n(w).
-w*(w - 1)**2*(w + 1)**2/5
Let x(j) be the third derivative of -j**9/574560 - j**8/47880 - j**7/9576 - j**6/3420 - j**5/12 - 2*j**2. Let f(p) be the third derivative of x(p). Factor f(b).
-2*(b + 1)**2*(b + 2)/19
Let p(y) = -5*y**4 + 10*y**3 - 4*y**2 - 4*y. Let s(m) = -11*m**4 + 19*m**3 - 3*m**2 - 9*m. Let a(n) = -9*p(n) + 4*s(n). Find w such that a(w) = 0.
0, 2, 12
Factor -25/3*z - 4 - 7/3*z**2.
-(z + 3)*(7*z + 4)/3
Let a = 253/228 - 59/76. Let -a*r - 4/3 + 4/3*r**2 + 1/3*r**3 = 0. What is r?
-4, -1, 1
Let x(i) be the third derivative of -12*i**2 + 0 - 1/168*i**8 + 0*i**3 - 1/35*i**7 + 0*i - 1/30*i**6 + 0*i**5 + 0*i**4. What is k in x(k) = 0?
-2, -1, 0
Suppose -1/4*i**5 - 23/4*i**3 + 11/4*i**4 + 9 + 6*i - 47/4*i**2 = 0. Calculate i.
-1, 1, 6
Let q(b) be the second derivative of -b**7/441 + b**6/315 + b**5/105 + 7*b + 4. Find t such that q(t) = 0.
-1, 0, 2
Determine z so that 25/4*z**5 - 105/4*z**4 + 45/4*z**2 - 3 + 79/4*z**3 - 8*z = 0.
-2/5, 1, 3
Let i(p) be the third derivative of -1/784*p**8 + 1/20*p**5 + 0*p**4 + 0*p - 2/7*p**3 + 1/280*p**6 + 0 + 38*p**2 - 3/490*p**7. Find w, given that i(w) = 0.
-2, -1, 1
Let m(p) be the third derivative of 5*p**8/336 - p**7/21 - 5*p**6/24 + 5*p**5/6 + 5*p**4/6 - 20*p**3/3 - 159*p**2. Solve m(v) = 0.
-2, -1, 1, 2
Let n = 1602/7 - 228. Let z(b) be the first derivative of -1 - 1/7*b**3 - n*b - 9/14*b**2. Factor z(t).
-3*(t + 1)*(t + 2)/7
Let g = 11005 + -77033/7. Factor 5/7*a + g - 1/7*a**3 - 1/7*a**4 + 3/7*a**2.
-(a - 2)*(a + 1)**3/7
Find s, given that -24/7*s**2 + 0 + 6/7*s**5 + 24/7*s**4 + 18/7*s**3 - 24/7*s = 0.
-2, -1, 0, 1
Let o(k) be the second derivative of k**7/70 - 93*k**6/25 - 3*k**5/50 + 93*k**4/5 + k**3/10 - 279*k**2/5 - 612*k. Find p such that o(p) = 0.
-1, 1, 186
Let p(j) be the second derivative of j**5/150 - 49*j**4/18 + 4961*j**3/15 + 5043*j**2/5 + 436*j. Factor p(o).
2*(o - 123)**2*(o + 1)/15
Factor -6 - 2*q + 1/2*q**2.
(q - 6)*(q + 2)/2
Let o = 123 - 123. Let v(u) be the third derivative of 1/490*u**7 + 0*u**4 + 0*u**3 + o*u - 3/280*u**6 - u**2 + 1/70*u**5 + 0. Factor v(f).
3*f**2*(f - 2)*(f - 1)/7
Let l(x) be the second derivative of -1/100*x**6 + 0*x**4 + 3*x + 0 + 0*x**2 + 0*x**3 - 1/84*x**7 + 1/100*x**5. What is t in l(t) = 0?
-1, 0, 2/5
Let w(f) be the first derivative of -2/21*f**4 + 1 + 5/21*f**3 - 2/7*f**2 + 1/70*f**5 - f. Let g(s) be the first derivative of w(s). Let g(x) = 0. Calculate x.
1, 2
Let l(t) = 7*t**3 + 8*t**2 - 12*t - 19. Let p(i) = 4*i**3 + 4*i**2 - 6*i - 10. Let g(z) = -3*l(z) + 5*p(z). Let x be g(-5). Factor x*h**2 - 3*h**2 + 2*h**2.
h**2
Let v be (-1053)/(-468) + 7/((-7)/2). Determine f so that 0 - 1/4*f**2 + 1/2*f - v*f**3 = 0.
-2, 0, 1
Suppose 0 = 16*i + 830 - 862. Factor -2/11*x**i - 8/11 + 10/11*x.
-2*(x - 4)*(x - 1)/11
Let m be (-2)/(-2) + 0 + 1. Suppose 8 = -4*t, 0 = -z - 2*z + 3*t + 15. Factor 3*h**2 - 18*h**z + 2*h**2 - 7*h**m - 12*h**4 - 3*h**5 - 10*h**2 - 3*h.
-3*h*(h + 1)**4
Let x = -13523/5 + 2805. Let p = x + -8514/85. Let 2/17*z + 0 + p*z**2 = 0. Calculate z.
-1/2, 0
Let z = -12640/7 + 1806. Factor 3/7*q**5 + 0*q + 0*q**2 - 1/7*q**3 + 0 - z*q**4.
q**3*(q - 1)*(3*q + 1)/7
Let x(l) be the first derivative of -3*l**4/4 - 5*l**3 + 21*l**2 - 673. Let x(h) = 0. Calculate h.
-7, 0, 2
Let 71156*w**4 + w**5 + 48*w**2 + 4*w**5 - 71171*w**4 - 39*w**3 - 6*w**3 - 180 + 107*w**2 = 0. Calculate w.
-3, -1, 2, 3
Let v(w) be the first derivative of w**6/60 - w**5/12 + w**4/6 - 7*w**3 + 6. Let n(r) be the third derivative of v(r). Factor n(p).
2*(p - 1)*(3*p - 2)
Let q be 151168/(-30) - 10/25. Let h = q - -5082. Let -160/3*a**4 - 50/3*a**5 - 16*a**3 + 0 + h*a**2 - 32/3*a = 0. Calculate a.
-2, 0, 2/5
Suppose -5*c + 9 = 3*r - 16, 4*c + 5*r - 33 = 0. Suppose -13 = -5*g + c*o, -5*g + g + 10 = -2*o. Factor -4*a**4 + 1 - 1 + 8*a**g - 4*a**2.
-4*a**2*(a - 1)**2
Let n(l) be the third derivative of 0*l**3 + 0*l - 1/40*l**6 - 1/10*l**5 - 1/8*l**4 + 19*l**2 + 0. Factor n(k).
-3*k*(k + 1)**2
Let h(n) be the first derivative of 3*n**4/8 + 2*n**3 - 75*n**2/4 - 42*n - 586. Factor h(o).
3*(o - 4)*(o + 1)*(o + 7)/2
Let m(o) be the second derivative of -1/45*o**6 + 1/18*o**4 + 2/9*o**3 + 3*o - 1/15*o**5 + 0 + 0*o**2. Factor m(d).
-2*d*(d - 1)*(d + 1)*(d + 2)/3
Let u(g) be the first derivative of -2*g**5/25 - 193*g**4/30 - 6268*g**3/45 - 896*g**2/15 + 4096*g/15 - 216. Let u(n) = 0. Calculate n.
-32, -1, 2/3
Let c(h) = h**2 + 6*h + 7. Let d be c(-5). Let z = 526/3 + -175. Find s such that 0*s**d + 1/2*s - z - 1/6*s**3 = 0.
-2, 1
Let b(a) = -8*a**3 - a**3 - 5 + 89*a**2 - 92*a**2 - 4*a**4 + 2*a**3. Let z(i) = -2*i**4 - 4*i**3 - 2*i**2 - 2. Let o(g) = 2*b(g) - 5*z(g). Factor o(u).
2*u**2*(u + 1)*(u + 2)
Let c(x) = -2*x + 17. Let i be c(7). Find y such that 38 + 21*y**2 - 11 + 29*y**i - 26*y**3 + 45*y = 0.
-3, -1
Let l(h) be the first derivative of 0*h**3 + 0*h**2 - 4/3*h**6 + 0*h**4 - 2/5*h**5 + 0*h - 11. Solve l(p) = 0.
-1/4, 0
Let j(p) be the second derivative of 529*p**6/15 + 2254*p**5/15 + 5354*p**4/27 + 1568*p**3/27 + 64*p**2/9 + 410*p. Factor j(r).
2*(3*r + 4)**2*(23*r + 2)**2/9
Factor -56 + 2/3*l**2 + 10/3*l.
2*(l - 7)*(l + 12)/3
Let m(x) = -2*x**2 + 44*x - 39. Let i be m(21). Let t(s) be the second derivative of -4*s + 0*s**2 + 0 + 0*s**i + 1/24*s**4. What is b in t(b) = 0?
0
Factor -v**2 + 10*v + 42 + 2*v**2 - 2*v**2 - 42.
-v*(v - 10)
Let w(k) = 171*k - 1365. Let r be w(8). Find c such that 0*c + 0 - 3/2*c**r + 0*c**2 + 3/2*c**4 = 0.
0, 1
Factor -3/2*q**2 - 36*q - 216.
-3*(q + 12)**2/2
Let r(o) = o - 6. Let d be r(-5). Let z = 15 + d. Suppose -4/3*j**2 - 2*j**3 + 4/3*j**z + 0*j + 2*j**5 + 0 = 0. What is j?
-1, -2/3, 0, 1
Find v such that -2*v**4 + 75*v**3 - v**4 - 41*v**2 - 66 + 201*v - 201*v**2 + 35*v**2 = 0.
1, 22
Suppose -29*r**2 + 27*r**2 - 5*r**3 - 32*r - 3*r**3 - 16 - 28*r**4 + 86*r**2 = 0. What is r?
-2, -2/7, 1
Let q be (-2380)/(-420) - 8/3. Let t(p) be the first derivative of 0*p + 6/5*p**5 - 1/2*p**6 + 0*p**q + 0*p**2 + 9 + 9/4*p**4. Let t(a) = 0. What is a?
-1, 0, 3
Let -18*w**2 + 27/4*w**3 + 12*w + 0 - 3/4*w**4 = 0. Calculate w.
0, 1, 4
Let i(m) be the first derivative of -m**2/2 - m + 1. Let p(r) = -r**2 - r - 4. Let v = 65 - 68. Let d(c) = v*i(c) + p(c). Factor d(q).
-(q - 1)**2
Let l = 50529/40 - 1262. Let f(r) be the third derivative of 7/4*r**4 + r**3 + 0 + 0*r + 5*r**2 + l*r**5. Suppose f(u) = 0. What is u?
-2/7
Let a(o) = -o**4 - o**2 - 2*o. Let k(f) = 20*f**4 - 50*f**3 - 60*f**2 + 10*f. Let x(c) = -25*a(c) - k(c). Factor x(b).
5*b*(b + 1)**2*(b + 8)
Let x = -4/757 - -2279/1514. Suppose x*v + 3/2 - 3/2*v**3 - 3/2*v**2 = 0. Calculate v.
-1, 1
Let y = 6984 + -6984. Let m(t) = 2*t**2 + t. Let b be m(1). Determine c so that 0*c**2 + 1/2*c**b - 1/2*c + y = 0.
-1, 0, 1
Let x(d) be the second derivative of -d**8/16800 + d**6/1800 + 3*d**4/2 + 6*d. Let y(g) be the third derivative of x(g). Factor y(t).
-2*t*(t - 1)*(t + 1)/5
Let h**2 + 1/3*h**3 + 0*h - 4/3 = 0. What is h?
-2, 1
Factor -3*i**2 + 12/5 - 9/5*i + 9/5*i**3 + 3/5*i**4.
3*(i - 1)**2*(i + 1)*(i + 4)/5
What is q in 3/2*q**3 - 57*q**2 + 603/2*q - 432 = 0?
3, 32
Let m = -45628/45 - -1014. Let x(b) be the second derivative of 1/9*b**4 - m*b**5 - 4/27*b**3 + 1/9*b**2 + 1/135*b**6 - 6*b + 0. Factor x(v).
2*(v - 1)**4/9
Suppose -5*l + 35 = -4*a, -3*l + 5*l - 21 = 3*a. Find u, given that 9*u**3 + 8 + 4*u**2 + 3*u**3 - 4*u**l - 20*u = 0.
-2, 1/2, 1
Let y be (96/160)/((-6)/(-5)). Let c(g) be the second derivative of 1/4*g**4 + 0*g**2 + 6*g + 0 + y*g**3. Factor c(n).
3*n*(n + 1)
Let k = 547/945 + 4/189. Let q(b) be the first derivative of 1/4*b**4 + 0*b - 8/9*b**3 - 2/3*b**2 - 6 + k*b**5. Suppose q(y) = 0. Calculate y.
-2/3, 0, 1
Let l(a) be the first derivative of -a**6/9 + 8*a**5/15 + 8*a**4 + 224*a**3/9 + 80*a**2/3 + 80. Find b, given that l(b) = 0.
-2, 0, 10
Suppose 11*p - 63 = -10*p. Let r(k) be the first derivative of 0*k + 0*k**p - 4 - 3/22*k**4 + 1/11*k**2 + 4/55*k**5. Factor r(t).
2*t*(t - 1)**2*(2*t +