/4 + 2601*g**3/5 + 3*g**2 - 52. Solve q(h) = 0 for h.
-17, 3
Let q(j) be the first derivative of 0*j**3 + 1/150*j**5 - 5 - 1/2*j**2 + 0*j**4 + 0*j - 1/300*j**6. Let f(h) be the second derivative of q(h). Factor f(d).
-2*d**2*(d - 1)/5
Let t(j) be the first derivative of -5*j**4/4 - 10*j**3 + 75*j**2/2 - 40*j + 497. Find x such that t(x) = 0.
-8, 1
Let p be 22/24 + 2 + 13/(-6). Let n(v) be the first derivative of -p*v**2 - 1/2*v - 1/2*v**3 + 3 - 1/8*v**4. Let n(t) = 0. What is t?
-1
Factor -4666*i + 1675 - 7686*i**2 - 2*i**4 - 246*i**3 - 1675 + 0*i**4 - 2776*i.
-2*i*(i + 1)*(i + 61)**2
Let x(t) be the second derivative of t**7/210 - t**6/15 + 13*t**5/100 + t**4 + 6*t**3/5 - t + 4. Factor x(h).
h*(h - 6)**2*(h + 1)**2/5
Let g(r) = 101*r + 4547. Let l be g(-45). Determine b so that -18/5 - 111/5*b + 39/5*b**l = 0.
-2/13, 3
Let c(r) be the second derivative of -1/5*r**5 - 2/3*r**3 + 31*r - 12*r**2 + 4/3*r**4 + 0. Factor c(w).
-4*(w - 3)*(w - 2)*(w + 1)
Let m = 1349/15 - 448/5. Factor -1/3*p**2 + 0*p + m.
-(p - 1)*(p + 1)/3
Let b(i) = 3*i**4 - 3*i**3 - 9*i**2 + 5*i + 4. Let n(j) = -7*j**4 + 5*j**3 + 19*j**2 - 10*j - 7. Let p(c) = -5*b(c) - 2*n(c). Factor p(l).
-(l - 6)*(l - 1)*(l + 1)**2
Let p(s) = 13*s**2 + 48*s - 13. Let t be p(-4). Let -3/2*q**t - 8*q - 13/2*q**2 - 2 = 0. Calculate q.
-2, -1/3
Factor 4/5*s + 9/5*s**2 + 0 + 1/5*s**4 + 6/5*s**3.
s*(s + 1)**2*(s + 4)/5
Let -7*k**2 + 12*k**2 + 2 - 2 - 3 + 2*k = 0. Calculate k.
-1, 3/5
Let l = 35 + -32. Find w, given that 3*w**l + 5*w**2 + 5*w**2 + 2*w**3 = 0.
-2, 0
Suppose 4*o - 1 = -9. Let r be 1/(o*2) + 2/8. Suppose 0*h + 3/2*h**4 - 1/2*h**5 + 1/2*h**2 + r - 3/2*h**3 = 0. What is h?
0, 1
Suppose 1927 - 1759 = 56*a. Factor -24/23*d**2 - 128/23 + 2/23*d**a + 96/23*d.
2*(d - 4)**3/23
Let r(c) = -2*c**4 - c**3 - c**2 - c + 1. Let h(i) = 5*i**4 - 30*i**3 + 5*i**2 + 5*i - 5. Let v(o) = h(o) + 5*r(o). Factor v(j).
-5*j**3*(j + 7)
Let i(c) = 267*c - 3202. Let f be i(12). Find a, given that -66/13*a**f - 66/13*a + 6/13*a**4 - 14/13*a**3 - 20/13 = 0.
-1, -2/3, 5
Let s(g) be the first derivative of -g**6/40 + g**5/10 - g**4/8 + 43*g**2/2 + 13. Let b(n) be the second derivative of s(n). Suppose b(k) = 0. Calculate k.
0, 1
Let j(w) be the second derivative of w**6/360 - w**5/40 + w**4/12 + 7*w**3/3 - 10*w. Let n(c) be the second derivative of j(c). Factor n(p).
(p - 2)*(p - 1)
Let 294/11*o - 296/11 + 2/11*o**2 = 0. What is o?
-148, 1
Let f(k) be the third derivative of -k**6/540 + 7*k**5/135 + 17*k**4/108 - 10*k**3/9 + 150*k**2. Solve f(j) = 0 for j.
-2, 1, 15
Let t(w) be the third derivative of w**8/192 - 19*w**7/840 + w**6/32 - w**5/240 - w**4/48 - 32*w**2. Factor t(o).
o*(o - 1)**3*(7*o + 2)/4
Let n(k) be the third derivative of -k**5/40 + 3*k**4/16 + 30*k**2. Factor n(a).
-3*a*(a - 3)/2
Let k(h) = 4*h - 10. Let p be k(3). Suppose 3*r - 3*r - 15 + 15*r**p - 4*r + 5*r**3 - r = 0. Calculate r.
-3, -1, 1
Let f(v) be the second derivative of v**6/120 - v**5/60 - v**4/24 + v**3/6 - v**2 - 10*v. Let n(k) be the first derivative of f(k). Find b, given that n(b) = 0.
-1, 1
Let c(l) = 5*l**2 - 40*l + 72. Let o(x) = 6*x**2 - 40*x + 72. Let v(w) = -4*c(w) + 3*o(w). Let v(i) = 0. What is i?
2, 18
Let y(r) be the first derivative of -5*r**6/3 - 35*r**5 - 985*r**4/4 - 510*r**3 + 810*r**2 + 1080*r - 99. Determine z so that y(z) = 0.
-6, -1/2, 1
Let t = 1659 + -14926/9. Determine d so that t + 1/9*d**2 + 2/3*d = 0.
-5, -1
Let g(t) = -t**3 - 5*t**2 + 4*t - 12. Let c be g(-6). Let s(d) be the first derivative of 1/6*d - 1/12*d**4 + 1/6*d**2 + 3 - 1/30*d**5 + c*d**3. Factor s(x).
-(x - 1)*(x + 1)**3/6
Let i = 29 - 21. Factor 6*g**3 + 17*g**2 + g**2 - i*g**3.
-2*g**2*(g - 9)
Let d(j) be the first derivative of 0*j + 30 - 4/3*j**3 - j**4 + 4*j**2. Solve d(b) = 0.
-2, 0, 1
Let v be ((-8)/9)/((-152)/105 + 28/20). Find f, given that 49/3*f**3 - 25*f + v*f**2 + 6 = 0.
-2, 3/7
Let y(l) be the third derivative of -1/20*l**6 + 17/30*l**5 - 17*l**2 - 3*l**3 + 0 + 0*l - 7/4*l**4. What is d in y(d) = 0?
-1/3, 3
Factor -5*l**2 + 116*l**3 + 50*l + 187*l**3 - 353*l**3 + 5*l**4.
5*l*(l - 10)*(l - 1)*(l + 1)
Let r(p) be the second derivative of 12*p - 1/6*p**4 + 0 + 2*p**2 + 1/3*p**3. Factor r(h).
-2*(h - 2)*(h + 1)
Let i(g) = g + 6. Let f be i(-12). Let u(w) = -6*w - 34. Let j be u(f). Factor 0 + 0*m + 0*m**3 + j*m**4 - 2/3*m**5 - 8/3*m**2.
-2*m**2*(m - 2)**2*(m + 1)/3
Let z(l) be the second derivative of l**7/150 + 2*l**6/75 - 17*l**5/300 - l**4/20 - l**2 - 3*l. Let h(u) be the first derivative of z(u). Solve h(x) = 0 for x.
-3, -2/7, 0, 1
Let p(a) be the third derivative of -3*a**2 + 1/75*a**5 + 0 + 1/900*a**6 + 1/3*a**3 + 1/15*a**4 + 0*a. Let c(x) be the first derivative of p(x). Factor c(u).
2*(u + 2)**2/5
Let h(c) be the second derivative of c**4/12 + 4*c**3/3 + 15*c**2/2 + c + 22. Find k, given that h(k) = 0.
-5, -3
Suppose 4*b + j + 5 = 0, -j - 4*j + 17 = -b. Let r be (b/8)/(1/(-8)). What is i in -2 + 5*i**r + 4 - 5 - i + 3*i = 0?
-1, 3/5
Let c(w) be the second derivative of w**7/7 - w**6/15 - 3*w**5/10 + w**4/6 - 26*w + 1. Solve c(o) = 0.
-1, 0, 1/3, 1
Let c be ((-4 - -6) + 1)*1. Let 4*w**2 - 27*w - c*w**2 + 17*w + 9 = 0. What is w?
1, 9
Let p(o) be the first derivative of -15/4*o**4 + 6*o - 8*o**3 - 6 - 3/2*o**2. Determine u so that p(u) = 0.
-1, 2/5
Let t be 4 + 17/(-102) + (-22)/12. Let m(x) be the first derivative of -5*x**t + 4 + 0*x + 5/3*x**3. Suppose m(v) = 0. What is v?
0, 2
Let g(f) be the first derivative of 1/4*f**2 - 17 - 1/8*f**4 + 2*f - 2/3*f**3. Solve g(l) = 0.
-4, -1, 1
Let h(o) = 18*o**3 - 16*o**2 - 5*o + 28. Let c(a) = -22*a**3 + 16*a**2 + 4*a - 28. Let v(z) = -5*c(z) - 6*h(z). Factor v(x).
2*(x - 1)*(x + 2)*(x + 7)
Let p(o) be the first derivative of 2*o**3/3 - 6*o**2 - 14*o - 67. Factor p(a).
2*(a - 7)*(a + 1)
Let n = -38/11 - -87/22. Let a be (-2)/6*12/(-8). Let -a*v**2 - n*v + 0 = 0. What is v?
-1, 0
Suppose -7*t - 3*t = -11*t + 3*t. What is g in t + 2/7*g - 2/7*g**4 - 2/7*g**3 + 2/7*g**2 = 0?
-1, 0, 1
Suppose -12*n = 11 - 95. Let y be 42 + -43 - n*(-3)/11. Factor 26/11*a**2 + y*a**3 + 8/11*a - 8/11.
2*(a + 1)*(a + 2)*(5*a - 2)/11
Let y be 58/18 + 4/(-108)*6. Let j(k) be the first derivative of -2*k + 3 - 2/3*k**y + 2*k**2. Determine w, given that j(w) = 0.
1
Let r(z) be the third derivative of -2/245*z**7 + 1/7*z**3 + 1/70*z**5 + 0*z - 5/56*z**4 + 0 + 1/70*z**6 - 9*z**2 + 1/784*z**8. Determine i so that r(i) = 0.
-1, 1, 2
Let n(f) be the first derivative of 3/2*f**4 - 3/5*f**5 + 0*f - 2 - f**3 + 0*f**2. Suppose n(i) = 0. What is i?
0, 1
Find v such that -12482/5 - 316/5*v - 2/5*v**2 = 0.
-79
Let i(z) be the first derivative of 3*z**3 - 12*z + 6*z**2 - 9 - 4*z**3 - 6 - 5. Find y such that i(y) = 0.
2
Let p(k) be the second derivative of 25/7*k**2 - 9*k + 1/42*k**4 + 0 - 10/21*k**3. Factor p(j).
2*(j - 5)**2/7
Let d be (0 - (-2)/(-4))/(13/(-78)). Let d - 1 + s**3 + 2*s - 2 - 3*s**2 = 0. What is s?
0, 1, 2
Let x(i) be the third derivative of -i**5/180 + 5*i**4/24 - 13*i**3/9 + 53*i**2. Factor x(p).
-(p - 13)*(p - 2)/3
Let f(u) be the first derivative of -2*u**6/9 - 8*u**5/5 - 8*u**4/3 + 8*u**3/9 + 6*u**2 + 16*u/3 - 50. Solve f(y) = 0.
-4, -1, 1
Suppose 6*f - 85 = 2*f + 3*h, 2*h - 68 = -3*f. Suppose -5*o - 2 + f = 0. Let -16*t**2 - o*t**4 - 4*t**5 + 20*t**2 + 6*t**3 - 2*t**3 + 0*t**5 = 0. Calculate t.
-1, 0, 1
Suppose -56/9*i + 16/3*i**3 + 4/9*i**5 + 2/9*i**2 - 8/3 + 26/9*i**4 = 0. Calculate i.
-3, -2, -1/2, 1
Let p(o) = 3*o**3 - 154*o**2 - 2320*o - 2178. Let y(t) = -4*t**3 + 158*t**2 + 2322*t + 2178. Let q(g) = 6*p(g) + 5*y(g). Factor q(b).
-2*(b + 1)*(b + 33)**2
Determine k, given that -107*k**2 + 24 + 7*k**3 - 52 + 107*k + 21*k = 0.
2/7, 1, 14
Find j, given that -12/13*j**3 + 2/13*j**4 + 2/13*j**5 - 8/13*j**2 + 0 + 16/13*j = 0.
-2, 0, 1, 2
Let g(w) be the second derivative of w**7/63 - w**6/15 - w**5/6 + 5*w**4/6 + 4*w**3/9 - 4*w**2 + 257*w. Suppose g(i) = 0. Calculate i.
-2, -1, 1, 2, 3
Let n(h) = 6*h**2. Let c be n(1). Suppose 177*v - 146*v - 620 = 0. Factor -4*w**3 - v*w + 4*w**2 + c*w**2 + 6*w**2 + 8.
-4*(w - 2)*(w - 1)**2
Suppose 3*b - 2*n + 3 = 2*b, 0 = 2*b - 3*n + 5. Let l be ((-7)/(-3) - b) + 12/(-36). Factor 0 + 2*f**2 - 4/3*f - 2/3*f**l.
-2*f*(f - 2)*(f - 1)/3
Let c(p) = -p + 2. Let s be c(-2). S