ivative of 0 + 6/13*p**3 - 81/13*p**2 - 1/78*p**4 - 44*p. Solve h(t) = 0 for t.
9
Let x(b) = -9*b**2 + 5474*b - 2495268. Let k(y) = 21*y**2 - 10949*y + 4990554. Let q(z) = 2*k(z) + 5*x(z). Solve q(v) = 0.
912
Let k(f) be the first derivative of 27 + 9*f - 22/21*f**3 + 121/7*f**2 + 1/42*f**4. Let j(p) be the first derivative of k(p). What is b in j(b) = 0?
11
Let v(z) = -337*z - 40101. Let b be v(-119). Suppose -8*f**b - 13/2*f - 8/3*f**3 - 7/6 = 0. What is f?
-7/4, -1, -1/4
Suppose 0 = 2*p, -16*k + 5*p - 25 = -11*k. Let s be 2/k - 172/(-430). Suppose s*y**2 + 0 + 0*y + 2/3*y**4 + 4/3*y**3 = 0. Calculate y.
-2, 0
Suppose -3*s + d - 6 = 0, -2*s - 18*d = -16*d - 4. Let a be (-1050)/280 - 4/s. Factor a*q - 1/4 + 1/4*q**2 - 1/4*q**3.
-(q - 1)**2*(q + 1)/4
Solve 670/9*c**2 - 56/9*c**3 - 8 - 664/3*c = 0.
-1/28, 6
Let r(i) be the second derivative of -i**6/15 + 5*i**5 + 103*i**4/6 + 52*i**3/3 + 1055*i. Let r(u) = 0. What is u?
-1, 0, 52
Let j(m) be the second derivative of m**4/4 + 158*m. Solve j(g) = 0 for g.
0
Let y(n) be the second derivative of 2*n**7/189 + 26*n**6/135 + 8*n**5/15 - 140*n**4/27 - 448*n**3/27 + 128*n**2 + 135*n - 17. Determine z, given that y(z) = 0.
-9, -4, 2
Let h(z) = 3*z - 4. Suppose 3*r - 9 = -3. Let m be h(r). Solve -3*u**2 + u - m*u + 2*u**5 + 59*u**4 - u**3 - 56*u**4 + 0*u**2 = 0.
-1, -1/2, 0, 1
Let w(h) be the second derivative of h**4/9 - 310*h**3/9 + 308*h**2/3 + 989*h. Factor w(x).
4*(x - 154)*(x - 1)/3
What is i in -48/7*i + 32/7 + 12/7*i**3 - 8/7*i**2 = 0?
-2, 2/3, 2
Let x(o) = -20*o**2 - 1119*o + 3447. Let p(n) = 4*n**2 + 282*n - 862. Let t(f) = -9*p(f) - 2*x(f). Solve t(m) = 0.
3, 72
Let v be ((-16)/6 - 3)*-3. Factor 17*g + v*g + 2*g**2 - 4*g**2 - 8*g.
-2*g*(g - 13)
Let f(d) be the second derivative of -d**5/5 + 2*d**3 - 4*d**2 - 8*d + 65. Solve f(z) = 0 for z.
-2, 1
Factor -229842/5 - 2/5*y**2 - 1356/5*y.
-2*(y + 339)**2/5
Let v be (-12603)/(-900) + -8 - 6. Let b(m) be the third derivative of 2*m**2 - v*m**5 + 1/20*m**4 - 3/10*m**3 + 0*m + 0. Factor b(j).
-(j - 3)**2/5
Suppose -h - 15 = 39*f - 43*f, 0 = -4*f + 2*h + 22. Let v(y) be the second derivative of 0 + 0*y**f - 22*y - 1/18*y**4 - 1/18*y**3. Factor v(p).
-p*(2*p + 1)/3
Let v = -15/2456 + 32003/12280. Suppose 4/5 + v*x + 3/5*x**2 = 0. Calculate x.
-4, -1/3
Let a = -118 - -121. Suppose 6*l = l - 2*k + 56, -a*k = -l + 1. Factor 4*j**2 - 10*j**3 + l*j**3 + j**2 - 5*j**3.
-5*j**2*(j - 1)
Let d(w) = 4*w - 34. Let u be d(9). Suppose -u*o - 4 = -4*g, -4*o + 12 = 2*g - 0*g. Factor -g*y + 0*y - y - 6*y - 12*y**2 + 3.
-3*(y + 1)*(4*y - 1)
Let g = -752183 - -2256557/3. Factor -1/3*a**3 + 1/3*a**2 - 4 + g*a.
-(a - 2)**2*(a + 3)/3
Let c(x) be the first derivative of -3*x**5/5 + 33*x**4/2 - 37*x**3 - 90*x**2 + 749. Factor c(p).
-3*p*(p - 20)*(p - 3)*(p + 1)
Suppose 2*q - 1046 = -4*m, 1204 = 4*q + 5*m - 885. Solve -9*l**2 + 3*l**4 + 2*l**3 + 521 + 4*l**3 - q = 0.
-3, 0, 1
Let k(d) be the first derivative of d**6/27 - 4*d**5/15 - 5*d**4/6 - 16*d**3/27 + 2062. Solve k(j) = 0.
-1, 0, 8
Let h = -12 + 0. Let i = 12 - h. Factor -9*t - 1 + 5*t**2 + 3 + 8 + i*t.
5*(t + 1)*(t + 2)
Let n = -668 + 688. Factor 12*r**4 + r**5 + 14*r**3 - r**4 - n*r**4.
r**3*(r - 7)*(r - 2)
Let a = 3778/1509 - -82/503. Factor 2/3*c**5 - 4/3*c**2 + 0*c**4 + 2*c - a*c**3 + 4/3.
2*(c - 2)*(c - 1)*(c + 1)**3/3
Factor -18/5*n**2 - 726/5 - 2184/5*n.
-6*(n + 121)*(3*n + 1)/5
Determine t so that 17853 + 75075 + 3*t**2 + 564*t - 1620*t = 0.
176
What is j in -6/5*j**2 + 194/5*j - 64/5 = 0?
1/3, 32
Let x**4 - x + 12476*x**3 + 2*x**4 - 6237*x**3 + 3 - x**5 - 6237*x**3 + 0 - 6*x**2 = 0. Calculate x.
-1, 1, 3
Let p(s) be the second derivative of 5*s**7/42 + 85*s**6/2 + 253*s**5/2 + 2*s + 4562. Factor p(x).
5*x**3*(x + 2)*(x + 253)
Let p(a) be the third derivative of a**6/180 - 7*a**5/90 - 14*a**4/9 - 16*a**3/3 + 2703*a**2. Factor p(f).
2*(f - 12)*(f + 1)*(f + 4)/3
Let r = 12614446/1471687 - -2/210241. Factor -4/7*q**2 - r*q - 144/7.
-4*(q + 3)*(q + 12)/7
Let w(x) be the first derivative of 13*x**2/2 + 65*x - 8. Let b be w(-5). Solve -2/5*f - 4/5*f**2 + b = 0.
-1/2, 0
Let w = -9289/2 + 4645. Let j(y) be the second derivative of -21*y + 3/40*y**5 - 11/4*y**3 + 0 + 9/2*y**2 + w*y**4. Suppose j(x) = 0. Calculate x.
-6, 1
Let d = -3740 - -3748. Let n(i) be the first derivative of 20/3*i**3 + 0*i + 1/2*i**4 + 25*i**2 + d. Suppose n(c) = 0. Calculate c.
-5, 0
Let u(g) = 27*g**3 - 903*g**2 - 3511*g - 3568. Let v(z) = 19*z**3 - 645*z**2 - 2508*z - 2548. Let q(m) = 12*u(m) - 17*v(m). Determine l so that q(l) = 0.
-125, -2
Let h = 400 + -452. Let v be 5/(-1) + (-12)/h - -6. Solve -14/13*f + v - 2/13*f**2 = 0.
-8, 1
Let q = -5/8 + 67/56. Let g = -38/235 + 7786/1645. Factor 64/7 - q*o**3 - g*o - 4*o**2.
-4*(o - 1)*(o + 4)**2/7
Let h = -70 - -112. Suppose 10*d = 8 + h. Determine w, given that -45*w**2 + 4 + 4*w**4 - 8*w**3 - w**d + 37*w**2 + 5*w**5 + 4*w = 0.
-1, 1
Let 3/5*h**4 - 2/5*h - 3/5*h**2 + 0 + 2/5*h**3 = 0. What is h?
-1, -2/3, 0, 1
Let v be ((-10)/225)/((-5)/50). Let k(j) be the third derivative of -2/9*j**4 + 12*j**2 + 0 + 0*j - v*j**3 - 1/30*j**5. Factor k(g).
-2*(g + 2)*(3*g + 2)/3
Let j(a) be the first derivative of -828*a**5/5 - 1241*a**4 - 2476*a**3 + 18*a**2 + 9022. Find n, given that j(n) = 0.
-3, 0, 1/207
Factor 345*z**2 - 175*z + 165*z**3 + 249*z**3 - 733*z**3 - 5*z**4 + 154*z**3.
-5*z*(z - 1)**2*(z + 35)
Let w(h) = -11*h**3 + 23*h**2 + 5*h - 17. Let b(p) = 4*p**3 - 8*p**2 - 2*p + 6. Let a = 28 + -34. Let y(n) = a*w(n) - 17*b(n). Factor y(j).
-2*j*(j - 1)*(j + 2)
Let i(v) be the first derivative of -5*v**4/4 + 430*v**3 + 3935*v**2/2 - 5220*v - 14975. Let i(m) = 0. Calculate m.
-4, 1, 261
Find s such that 132 - 24*s**4 - 3/2*s**5 + 312*s**2 - 51*s**3 - 735/2*s = 0.
-11, -8, 1
Let z(i) be the second derivative of -i**4/18 - 22*i**3/9 - 40*i**2/3 - 2875*i. Factor z(w).
-2*(w + 2)*(w + 20)/3
Let r(g) be the first derivative of 2/27*g**3 - 50/9*g - 100 + 8/3*g**2. Factor r(i).
2*(i - 1)*(i + 25)/9
Let a be -9 + ((-520)/30)/(-2) + 12. Let d(p) be the first derivative of 18 - 5/9*p**3 - 245/3*p + a*p**2. Factor d(y).
-5*(y - 7)**2/3
Let n(y) be the third derivative of y**6/24 - 17*y**5/4 + 125*y**4/12 + 227*y**2 + 4*y. Factor n(a).
5*a*(a - 50)*(a - 1)
Suppose -2*w + 19 = 85. Let g be 30/40 - (w/(-12) - 4). Factor -9/10*u**g + 3/5*u - 1/10.
-(3*u - 1)**2/10
Solve -5/2*l - 102 + 1/2*l**2 = 0.
-12, 17
Suppose 2066696*i**2 + 9952/3*i**3 + 12370336/3*i + 6180196/3 + 4/3*i**4 = 0. Calculate i.
-1243, -1
Let d(b) = -2*b**4 + 23*b**3 - 62*b**2 + 6*b. Let p(y) = -2*y**4 + 24*y**3 - 62*y**2 - 12*y. Let n(s) = 4*d(s) - 3*p(s). Solve n(i) = 0.
0, 2, 3, 5
Let k(i) be the first derivative of 2*i**6/9 - 35*i**4/3 + 40*i**3/3 + 320*i**2/3 + 128*i - 507. Determine o so that k(o) = 0.
-6, -1, 4
Let i(g) be the first derivative of 1/3*g**4 - 1/5*g**5 + 0*g**2 + 31*g + 0*g**3 + 42. Let l(d) be the first derivative of i(d). Determine n so that l(n) = 0.
0, 1
Let i(s) be the first derivative of 1/3*s**4 - 16*s - 2*s**2 + 0*s**3 - 12. Let z(v) be the first derivative of i(v). Suppose z(h) = 0. Calculate h.
-1, 1
Let f(p) = 9*p**3 + 5*p**2 - 6*p + 13. Let a be f(2). Let 132*b**2 - 938*b**3 + 10*b + 1153*b**3 + a*b**2 = 0. What is b?
-1, -2/43, 0
Let h = -12 + 14. Suppose 0*o = -4*z + h*o + 14, 4*z + 3*o + 1 = 0. Factor -11*v + v - v**4 + 25*v - 15*v**3 - 4*v**4 + 5*v**z.
-5*v*(v - 1)*(v + 1)*(v + 3)
Let w(r) = r**3 - 56*r**2 + 4*r - 220. Let v be w(56). Factor -389*a + 50*a**3 + 2*a**v - 132*a**3 + 389*a.
2*a**3*(a - 41)
Factor -11/4*v - 9/2 - 1/4*v**2.
-(v + 2)*(v + 9)/4
Let d(o) be the first derivative of 2*o**5/15 + 31*o**4/6 - 22*o**3 + 101*o**2/3 - 68*o/3 - 3852. Suppose d(u) = 0. What is u?
-34, 1
Let y = 2652 - 2652. Let z(g) be the second derivative of 14*g + y*g**3 - 1/40*g**5 + 0 + 0*g**2 - 1/24*g**4. Factor z(j).
-j**2*(j + 1)/2
Let g(w) be the third derivative of -w**7/560 - 19*w**6/320 + 67*w**5/160 + 19*w**4/64 - 33*w**3/8 + 3*w**2 - 878*w. Determine b, given that g(b) = 0.
-22, -1, 1, 3
Let n(h) be the first derivative of -5*h**3/3 + 185*h**2/2 - 350*h + 1150. Factor n(p).
-5*(p - 35)*(p - 2)
Let n(x) be the second derivative of x**5/30 - 47*x**4/6 + 5*x - 161. Factor n(v).
2*v**2*(v - 141)/3
Let i(o) = -4*o - 21. Suppose